A block of mass =5.33 kg
is attached to a spring, which is resting on a horizontal frictionless table. The block is pushed into the spring, compressing it by 5.00 cm,
and is then released from rest. The spring begins to push the block back toward the equilibrium position at =0 cm.
The graph shows the component of the force (in Newtons) exerted by the spring on the block versus the position of the block (in centimeters) relative to equilibrium. Use the graph to answer the questions.
A force versus position graph, with F subscript X on the vertical axis in units of newtons, and X on the horizontal axis in units of centimeters. The tick marks on the F sub X axis appear every 1 newton, with 0 at the origin and ranging negative 6 newtons to 6 newtons. The tick marks on the X axis appear every 1 centimeter, with at 0 at the origin and ranging from negative 5 centimeters to 5 centimeters.
A straight, decreasing line segment on this graph has one endpoint at a X equals negative 5 centimeters and F sub X equals 6 newtons, and the other endpoint at X equals 5 centimeters and F sub X equals negative 6 newtons.
1) How much work
does the spring do pushing the block from its initial position at =−5.00 cm
to =2.75 cm?
2) What is the speed f
of the block when it reaches =2.75 cm?
3) What is the maximum speed max
of the block?
Answers
Answer:
Explanation:The work done by the spring pushing the block from its initial position at = −5.00 cm to = 2.75 cm is equal to the area under the force versus position curve between those two points. Since the graph is a straight line, we can use the formula for the area of a trapezoid:
Area = (1/2) * (b1 + b2) * h
where b1 and b2 are the lengths of the parallel sides of the trapezoid (i.e., the magnitudes of the forces at the initial and final positions), and h is the height of the trapezoid (i.e., the distance between the initial and final positions).
In this case, the initial position is = −5.00 cm and the final position is = 2.75 cm. From the graph, we can see that the magnitude of the force at the initial position is approximately 6 N, and the magnitude of the force at the final position is approximately 2 N (since the graph is symmetric, we could also use the negative values and obtain the same result).
So, the area of the trapezoid is:
Area = (1/2) * (6 N + 2 N) * (2.75 cm - (-5.00 cm)) = 21 N·cm
Therefore, the spring does 21 J of work pushing the block from = −5.00 cm to = 2.75 cm.
We can use conservation of energy to find the speed of the block when it reaches = 2.75 cm. At the initial position, the block is at rest and has zero kinetic energy. As the spring pushes the block back toward equilibrium, the potential energy stored in the spring is converted to kinetic energy of the block. At the final position, all of the potential energy has been converted to kinetic energy.
The potential energy stored in the spring at position x is given by:
U = (1/2) * k * (x - x0)^2
where k is the spring constant and x0 is the equilibrium position. In this case, x0 = 0 cm and k is not given, so we cannot calculate the potential energy directly. However, we know that the force exerted by the spring is proportional to the displacement from the equilibrium position, so we can write:
F = -kx
where the negative sign indicates that the force is in the opposite direction of the displacement (i.e., it is a restoring force). At the initial position, x = -5.00 cm and F = 6 N. At the final position, x = 2.75 cm and F = -2 N.
We can use the work-energy theorem to relate the work done by the spring to the change in kinetic energy of the block:
W = ΔK
where W is the work done by the spring and ΔK is the change in kinetic energy. Since the work done by the spring is the negative of the area under the force versus position curve between the initial and final positions (i.e., the same area we calculated in part 1), we know that W = -21 J. Therefore:
ΔK = -W = 21 J
At the final position, the block has kinetic energy equal to ΔK. We can use the formula for kinetic energy to find the speed v:
K = (1/2) * m * v^2
where m is the mass of the block. The mass is given as 5.33 kg, so we have:
21 J = (1/2) * 5.33 kg * v^2
Solving for v, we get:
v = sqrt((2
Related Questions
40 Points!!!!!!!!!!!!!
Q1. Assume that a horse pulls a sleigh in a way that the sleigh moves at constant velocity. What is the work being done on the sleigh (a) by the horse, (b) by the Earth, and (c) by the force of friction? Determine whether the work is positive, zero, or negative.
Answers
8. Molecular gastronomy was created by two scientists from Oxford University.
True or false
Answers
True,
molecular gastronomy was created by two scientists from Oxford University. Molecular gastronomy is a sub-discipline of food science that investigates the physical and chemical transformations of ingredients during cooking. It was first established by physicist Nicholas Kurti and chemist Hervé This, both from Oxford University. The term "molecular gastronomy" was coined in 1988 during a workshop on the science of cooking, which aimed to bridge the gap between scientific research and culinary arts.
Molecular gastronomy explores various aspects of food, such as flavor, texture, and presentation, and combines scientific knowledge with culinary techniques. This innovative approach to cooking has led to the creation of many unique and modern dishes, often featuring unexpected combinations of ingredients and visually appealing presentations.
The objective of molecular gastronomy is not only to create innovative dishes but also to understand and improve traditional cooking methods. This has led to advancements in food technology, as well as a deeper understanding of the science behind cooking processes. As a result, molecular gastronomy has become a popular and influential trend in the culinary world, inspiring chefs and home cooks alike to experiment with new techniques and ingredients.
In summary, molecular gastronomy was created by two scientists from Oxford University, Nicholas Kurti and Hervé This. Their groundbreaking work has had a significant impact on the culinary world and has led to many exciting innovations in food preparation and presentation.
Why is it incorrect to say that astronauts are weightlesS in space while orbiting Earth in a space shuttle?
Answers
This is because Gravity exists everywhere in the universe.
What is Gravity?This is the force of attraction which acts on all matters in the universe. Astronauts appear weightless while in orbiting the Earth because the space shuttle and the astronauts are in free fall around it.
They fall at the same rate as the space shuttle which is why the astronauts appear weightless.
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Astronauts and their spaceship are affected by Earth's gravity in space. Even though Earth's gravitational influence is weaker in orbit than on Earth's surface, they have weight. They don't feel their weight since nothing's pushing back.
What is weightlessness in space?Weightlessness means no weight. It's also called zero-G. Weight is the force on a stationary object in a strong gravitational field.
The sensation of weightlessness that astronauts on board the International Space Station enjoy is due to the fact that they are free falling toward the planet Earth. Because the space station and the astronauts are moving at the same rate, there is no external normal force acting upon the body in free fall to balance out the effects of the body's own weight (equal to g).
Therefore, the astronauts and their spaceship continue to have mass and are still affected by the gravitational pull of the Earth.
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Time (min)
3. A car accelerates at 2 m/s². Assuming the car starts from rest, how much time
does it need to accelerate to a speed of 16 m/s?[ t = (vi-vi//a ]
Answers
The initial velocity of the car is u = 0 m/s because the car starts from rest.
The acceleration of the car is a = \(2m/s^{2}\).
The instantaneous velocity is v = 16 m/s.
By applying the formula that connects the details that we have with the duration
a = v − u t
t
we get the duration as follows
Make t the subject of the formula
t = v − u
a
= 16m/s− 0 m/s
\(2M^{2}\)
= 8s.
The duration for that speed change is 8s.
Calculating acceleration involves dividing velocity by using time or in phrases of SI units, dividing the meter according to the second m/s by the second one. Dividing distance by time twice is the same as dividing distance via the rectangular of time. hence the SI unit of acceleration is the meter according to 2nd squared. If the acceleration is consistent, it's far viable to discover acceleration without time if we have the preliminary and final pace of the item as well as the amount of displacement. The system v2=u2+2as where v is the final velocity, u is the initial velocity, a is the acceleration and s is the displacement is used.
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A Wheatstone Bridge type circuit is shown (10marks) R1=20ohms, R2=10ohms, R3=8ohms, R4=5ohms, and R5=2ohms and also has 10V battery. Determine A. the p.d. between terminals B and D, and (5 marks) B. The value to which R4 must be adjusted in order to reduce the current through R3 to zero (balance the bridge). (5marks)
Answers
Answer:
Dunno
Explanation:
Dunno
A torque of T= 4Nm is required to rotate the intermediate cylinder at W= 30 rad/min .
Calculate the viscosity of the
oil. All cylinders are 450 mm long. Neglect the end effects.
R=0.15m, t=0.003 m.
Result: 1.258 N.s/m
Answers
The viscosity of the oil with a torque 4Nm and a rotational speed is 30 rpm is 0.2003 N.s/m.
From the given,
torque = 4Nm
rotational speed = 30 rpm = (30 × 3.14)/60 = 3.14 rad/sec
radius = 0.15 m
thickness (h) = 0.003 m
To find linear velocity,
V = R×ω
= 0.15×3.14
V =0.471 m/s
The dragging force,
F = 2μA(V/h) (V is linear velocity and h is the thickness )
Area = area of cylinder = 2πRH, R is radius and H is the height of the cylinder.
F = 2μ(2πRH) (V/h)
= 2μ(2×3.14×0.15×0.45) (0.471/0.003)
= 133.10 μ (μ is the viscosity of the oil)
F = 133.1μ
Torque (τ) = Force × radius
4 Nm = 133.1μ × 0.15
μ = 4 / (133.1×0.15)
= 0.2003 N.s/m
The viscosity of the oil is 0.2003 N.s/m.
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A color TV uses 120 W of power. How much energy does the TV use in 1
hour?
Answers
The quantity of energy used by the color TV is equal to 432 Kilojoules.
Given the following data:
Time = 1 hourPower = 120 wattConversion:
1 hour = 60 minutes = \(60 \times 60 = 3600\) seconds.
To determine the quantity of energy used by the color TV:
Mathematically, energy with respect to power and time is given by the formula:
\(Energy = power \times time\)
Substituting the given parameters into the formula, we have;
\(Energy = 120 \times 3600\)
Energy = 432,000 Joules
Note: 1000 Joules = 1 Kilojoules.
Energy = 432 Kilojoules.
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3. The property of sound called intensity is proportional
to the rate at which energy flows through
A.an area perpendicular to the direction of
propagation.
B.an area parallel to the direction of propagation.
C.a cylindrical tube.
D.a sound wave of a certain frequency.
Answers
Answer:
A. an area perpendicular to the direction of propagation.
Explanation:
The property of sound called intensity is proportional
to the rate at which energy flows through an area perpendicular to the direction of propagation.
When a projectile reaches the highest point the vertical component of the acceleration is:
(A) Less than g (B) Greater than g (C) Positive g (D) Negative g
Answers
Answer:
The acceleration is g.
Taking the upward direction as positive
V = Vy y - 1/2 g t^2
Taking the downward direction as positive
V = -V y + 1/2 g t^2
One can choose either direction as positive, but the acceleration is
the same as g (it is g) while the projectile is in the air.
When a projectile reaches the highest point the vertical component of the acceleration is negative g (acceleration due to gravity). Thus, the correct option is D.
What is Projectile motion?Projectile motion is the motion of an object which is thrown or projected high into the air. After the initial force applied on the object that launches the object, the object only experiences the gravitational force. The object is called a projectile and the path of the object is called trajectory.
When a projectile reaches the highest point the vertical component of the acceleration is negative g (acceleration due to gravity). When the object achieves highest point, then the vertical acceleration of a projectile is zero meter per second square when it is at the peak of its trajectory motion.
Therefore, the correct option is D.
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What is MOST likely to be TRUE about asynchronous communication?
It is rarely used in businesses in today's society.
It offers many opportunities to ask clarifying questions in real time.
It is helpful when employees work across multiple time zones.
It only works when all employees work in the same time zone.
Answers
The most likely true statement about asynchronous communication is that it is helpful when employees work across multiple time zones.
Asynchronous communication refers to a mode of communication where participants do not need to be present or engaged simultaneously. Instead, they can send and receive messages at their convenience.In today's globalized society, businesses often have teams distributed across different geographical locations and time zones. Asynchronous communication becomes invaluable in such scenarios as it allows team members to collaborate effectively without the constraints of real-time interactions. By utilizing tools like email, project management platforms, or messaging apps, individuals can communicate and exchange information regardless of their location or the time differences.
Asynchronous communication also offers benefits such as flexibility and increased productivity. Team members have the freedom to work at their own pace and prioritize tasks accordingly. It provides opportunities for thoughtful and well-crafted responses, as individuals can take time to gather information or reflect on complex matters before replying.While asynchronous communication is advantageous for teams operating across multiple time zones, it does not rely on all employees working in the same time zone. In fact, it is designed to accommodate diverse schedules and allow individuals to collaborate efficiently despite their varying work hours.
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A car manufacturer wants to change its car's design to increase the car's acceleration. Which changes should the
engineers consider making to the design?
O increase the force that the engine provides
O decrease the force that the engine provides
O increase the mass of the car
O decrease the mass of the car
O increase the top velocity the car can travel
decrease the top velocity the car can travel
Answers
To increase a car's acceleration, the engineers should consider decreasing the car's mass and/or increasing the force that the engine provides. Therefore, options A and D are the correct answers.
Acceleration is directly proportional to the net force acting on an object and inversely proportional to its mass. This means that a smaller mass or a larger force will result in a greater acceleration. Therefore, reducing the mass of the car will require less force to achieve the same acceleration, or the same force will result in a greater acceleration.
To decrease the mass of the car, the engineers could consider using lighter materials for the car's body and frame or removing unnecessary components. On the other hand, to increase the force that the engine provides, the engineers could consider upgrading the engine or increasing the fuel intake.
Option B, which suggests decreasing the force that the engine provides, would have the opposite effect and result in a slower acceleration. Option C, which suggests increasing the mass of the car, would also have the opposite effect and require more force to achieve the same acceleration.
Option E, which suggests increasing the top velocity the car can travel, is not directly related to acceleration. Top velocity refers to the maximum speed that a car can reach, whereas acceleration refers to the rate of change of velocity. While increasing the car's top velocity may indirectly affect acceleration, it is not a direct solution to increasing acceleration.
Option A and D.
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In the following equations, the distance x is in meters, the time t is in seconds, and the velocity v is in meters per second. What are the SI units of the constants 1 and 2 ? (a) =1+2, (b) =1212, (c) 2=21, (d) =1cos (2), (e) 2=21−(2)2
Answers
Since [1 + 2] = [1] + [2], the Velocity of the constant 1 and 2 must be the same. Therefore, both constants have the same SI units.
What is the relationship between speed and the SI unit?V is the velocity, d is the distance, and t is the duration in the equation V = d/t. Calculate the object's acceleration by dividing its mass by its force, then multiplying the result by the acceleration's duration.
(b) The units of the constants 1 and 2 must be the same because [12 / 12] = 1. As a result, the SI units for both variables are the same.
(c) The units of the constant 2 must be the same as the units of the constant 1 squared because [2] = [2] / [1]. As a result, the SI units for the constants 1 and 2 differ.
(d) The constant 2 must have radians as its units because the cosine function's input must be dimensionless. It is necessary for the constant 1 to have units that enable the cosine function's units to cancel out. This can be done by assigning the constant 1 units that are reciprocal radians, or radians to the power of -1. As a result, the SI units for the constants 1 and 2 are rad-1 and radians, respectively.
Due to the fact that [(2 / 1) - (2)2] equals [(2 / 1)], The units of the constant 2 must match those of the constant 1 cubed, or [22]. As a result, the SI units for the constants 1 and 2 differ.
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A 15 year old boy requires eyeglasses with lenses of 2 diopters power in order to read a book at 25 cm. Five years later he finds that while wearing the same glasses, he must hold a book 40 cm from his eyes. What power of lenses does he require at 20 years in order to read a book at 25 cm?
Answers
At 20 years old, the boy would require eyeglasses with lenses of approximately -1.49 diopters power in order to read a book at 25 cm.
How to solve for the power of lenses1/f1 = 1/v - 1/u1
1/f1 = 1/∞ - 1/0.25 (converting 25 cm to meters)
1/f1 = 0 - 4
1/f1 = -4
f1 = -1/4
f1 = -0.25 meters
The initial lens power (P1) is the reciprocal of the focal length:
P1 = 1/f1
P1 = 1/-0.25
P1 = -4 diopters
Now let's calculate the final focal length (f2) using the final distance (v2) of 40 cm:
1/f2 = 1/v2 - 1/u1
1/f2 = 1/0.40 - 1/0.25
1/f2 = 2.5 - 4
1/f2 = -1.5
f2 = -1/1.5
f2 = -0.67 meters
The final lens power (P2) is the reciprocal of the focal length:
P2 = 1/f2
P2 = 1/-0.67
P2 ≈ -1.49 diopters
Therefore, at 20 years old, the boy would require eyeglasses with lenses of approximately -1.49 diopters power in order to read a book at 25 cm.
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A 15.0 kg box is being pulled along level ground by a 75.0 N force that is directed at an angle of 200
above the horizontal. The coefficient of kinetic friction is 0.330. What is the acceleration of the box?
Answers
The acceleration of the box being pulled by the given force is 2.03 m/s².
The given parameters;
mass of the box, m = 15 kgforce applied to the box, F = 75 Nangle of inclination of the force, θ = 20⁰coefficient of kinetic friction, μ = 0.33The normal force on the box is calculated as follows;
\(F_n = mg- Fsin(\theta)\\\\F_n = 15\times 9.8\ - \ 75\times sin(20)\\\\F_n = 121.35 \ N\)
The frictional force experienced by the box is calculated as follows;
\(F_k = \mu F_n\\\\F_k = 0.33 \times 121.35 \\\\F_k = 40 \ N\)
The net horizontal force on the box is calculated as follows;
\(\Sigma F _x = 0\\\\Fcos(\theta) - F_k = ma\\\\\)
where;
a is the acceleration of the box\(75 \times cos(20) \ - \ 40 = 15a\\\\30.425 = 15a\\\\a = \frac{30.425}{15} \\\\a = 2.03 \ m/s^2\)
Thus, the acceleration of the box being pulled by the given force is 2.03 m/s².
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What is the current in the 60.0 Q resistor? 120.0 V O A. 80.0 A B. 2.00 A O C. 1.50 A OD. 12.0 A 60.002 20.0 Q A
Answers
2A
Given ,
Resistance=60
V=12
V=IR
I=V/R
I=120/60=2A
The pace at which electrons flow past a location in a complete electrical circuit is defined as current. At its most fundamental, current Means flow.
An ampere (AM-pir), sometimes known as an amp, is the international unit for measuring current. It denotes the number of electrons (also known as "electrical charge") that pass across a location in a circuit over a specific time period.
A current of one ampere indicates that one coulomb of electrons—that is, 6.24 billion billion (6.24 x 1018) electrons—moves across a circuit in one second. The method is comparable to determining how many gallons move through a single spot in a pipe in one minute (gallons per minute, or GPM).
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HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Answers
Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.
To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.
In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.
To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.
Total cost covered by the five friends = Total cost - Cost of one person's meal
= (£12 x 6) - £12
= £72 - £12
= £60
Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).
Amount each friend needs to pay = Total cost covered by the five friends / Number of friends
= £60 / 5
= £12
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SORRY IF IN WRONG SECTION. ANSWER FOR 50 POINTS. 1. The chemical process by which your body breaks down the nutrients in foods to release energy (1 point) for the cells in your body describes OCalories Ocholesterol Ometabolism Onutrition
Answers
Metabolism is the chemical process by which your body breaks down the nutrients in foods to release energy for the cells in your body (Option 3).
What is Metabolism?The term Metabolism makes reference to all chemical reactions by which the body can obtain energy from foods by breaking them down into smaller elements. The breakdown of chemical bonds releases energy, which is used to generate Adenosine triphosphate, the energy coin of the cells.
Metabolism has two major categories:Catabolism or metabolic pathways where foods are reduced to smaller molecules that are used for oxidation and thus the production of energy.Anabolism or metabolic pathways aimed at generating complex molecules from simpler ones.Therefore, we can conclude that metabolism refers to the groups of pathways by which an organism breaks down nutrients such as proteins or carbohydrates in order to obtain energy for cells and perform diverse activities (e.g. growth, differentiation, etc)
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a worker pulls horizontally on a crate on a rough horizontal floor, causing it to move forward with constant velocity. in the figure (figure 1), force a is the pull of the worker and force b is the force of friction due to the floor. figure1 of 1 a crate is pulled to the right along a horizontal floor with force 'a' exerted on the middle of the right side of the crate. the floor exerts a friction force, b, on the bottom of the crate, which points horizontally to the left. part a which one of the following statements about these forces is correct? which one of the following statements about these forces is correct? A > B
A = B
A< B
It will not slow down, but continue moving at constant velocity.
Answers
The force of friction must be equal and opposite to the force exerted by the worker. Therefore, the relationship between force A (the force exerted by the worker) and force B (the force of friction) is B = A. Here option B is the correct answer.
Since the crate is moving forward with constant velocity, we know that the net force acting on it is zero. If the worker were to increase force A, the crate would accelerate forward, and the force of friction would increase to match the new net force and bring the crate back to a constant velocity.
On the other hand, if the worker were to decrease force A, the crate would decelerate, and the force of friction would decrease to match the new net force and bring the crate back to a constant velocity. In conclusion, the correct answer is B - A = B, which means that the force exerted by the worker is equal to the force of friction acting on the crate.
Complete question:
A worker pulls horizontally on a crate across a rough horizontal surface, causing it to move forward with constant velocity. Force A is the force exerted by the worker and force B is the force of friction due to the surface. What is the relationship between A and B?
A - A > B
B - A = B
C - A< B
D - It will not slow down, but continue moving at constant velocity.
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If a constant force acts on two objects of different masses, which object will accelerate more? a. The larger object c. Both objects will respond in the same way b. The smaller object d. The larger object will speed up, but the smaller object will slow down Please select the best answer from the choices provided A B C D
Answers
Acceleration depends on force applied and the mass involved. The smaller object will accelerate more. The correct answer is B
What is Force ?Force can simply be defined as a pull or push. It is the product of mass and acceleration. It is a vector quantity and it is measured in Newton.
If a constant force acts on two objects of different masses, the two object will not have the same acceleration because according to Newton's second law, F = ma
a = F/m
That is, acceleration is inversely proportional to the mass of the body. The bigger the mass, the smaller the acceleration and vice versa.
Therefore, the object that will accelerate more will be the smaller object.
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A botanist is measuring plants to determine amount of growth after fertilizer was used. A ruler was used for the measurements. Which type of measurement is being collected?
Question 6 options:
a)
Linear
b)
Volume
c)
Mass
d)
Weight
Answers
Answer:
Hi there!
Your answer is:
A. Linear
Explanation:
Linear measurement is when you measure things in a straight line using tools such as a ruler, yardstick or tape measure. To measure height, they are using a ruler, which is a form of linear measurement!
I hope this helps!
What is the mass of a person whoweighs 343 N?m= [ ? ] kg
![What is the mass of a person whoweighs 343 N?m= [ ? ] kg](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/PssqtOee5zRIIcmT29lleWUltIfFTECW.jpeg)
Answers
Take into account that the weight of a person can be calculated by using the following formula:
W = m·g
where m is the mass and g the gravitational acceleration constant g = 9.8m/s².
In this case, W = 343 N. Then, solve the previous equation for m and replace the values of W and g, as follow:
m = W/g
m = (343 N)/(9.8 m/s²)
m = 35 N·s²/m
m = 35 kg·m·s²/s²
m = 35 kg
Hence, the mass od the person is 35 kg
3) If the displacement of an object, x, is related to velocity, v, according to the relation .x = Av,
the constant, A, has the dimension of which of the following?
a) acceleration
b) length
c) time
d) area
Answers
If the displacement of an object, x, is related to velocity, v, according to the relation .x = Av the dimension of which of the following is time.
What is displacement?An object's position changes if it moves in relation to a reference frame, such as when a passenger moves to the back of an airplane or a lecturer moves to the right in relation to a whiteboard. Displacement describes this shift in location.
A = x/v
since x is displacement and v is velocity
x/v = m/(m/s) = s
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Calculate the quantity of heat energy which must be transferred to 2.25 kg of brass to raise its temperature from 20°C to 240°C if the specific heat of brass is 394 J/kgK.
Answers
The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J
How do i determine the quantity of heat energy?First, we shall list out the given parameters from the question. This is shown below:
Mass of brass (M) = 2.25 Kg Initial temperature of brass (T₁) = 20 °CFinal temperature of brass (T₂) = 240 °CChange in temperature of brass (ΔT) = 240 - 20 = 220 °CSpecific heat capacity of brass (C) = 394 J/kgKQuantity of heat energy (Q) =?The quantity of heat energy that must be transferred can be obtained as follow:
Q = MCΔT
= 2.25 × 394 × 220
= 195030 J
Thus, we can conclude quantity of heat energy that must be transferred is 195030 J
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represent the reading of a vernier caliper with a diagram showing the reading 45.75mm
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The reading on a vernier caliper can be represented as 45.75mm.
1. Understand the components of a vernier caliper: A vernier caliper consists of two main scales - the main scale and the vernier scale. The main scale is typically graduated in millimeters, while the vernier scale is a smaller scale that slides along the main scale.
2. Locate the main scale: Identify the main scale on the vernier caliper. The main scale is usually marked on the fixed jaw of the caliper and extends in a linear fashion.
3. Identify the vernier scale: The vernier scale is attached to the movable jaw of the caliper. It slides along the main scale and consists of smaller divisions.
4. Align the zero marks: Close the jaws of the caliper and ensure that the zero marks on both the main and vernier scales are aligned.
5. Determine the main scale reading: Read the main scale value that aligns with the zero mark on the vernier scale. In this case, the main scale reading will be 45mm.
6. Locate the vernier scale reading: Examine the vernier scale and identify the division on the vernier scale that lines up perfectly with a division on the main scale. This will give you the additional measurement beyond the main scale reading.
7. Determine the vernier scale reading: Find the division on the vernier scale that aligns with a division on the main scale. The value of this vernier division corresponds to the additional measurement. In this case, the vernier scale reading will be 0.75mm.
8. Add the main scale and vernier scale readings: Combine the main scale reading and the vernier scale reading to get the final measurement. In this case, the final reading will be 45.75mm.
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A student's research indicates that Pluto's radius is 1.172 x 10 m and its mass is
1.2 x 1022 kg.
a. Calculate the gravitational field strength at Pluto's surface.
b. calculate the force of gravity at Pluto’s surface of an object with a mass of 100kg
Answers
The gravitational field strength at Pluto's surface is 5.827 x 10⁹ N/kg.
The force of gravity between the object and Pluto's surface is 5.827 x 10¹³ N.
What is the gravitational field strength at Pluto's surface?
The gravitational field strength at Pluto's surface is calculated as follows;
G_E = GM/r²
where;
M is mass of the Plutor is the radius of PlutoG is universal gravitation constant = 6.67 x 10⁻¹¹ Nm²/kg²G_E = (6.67 x 10⁻¹¹ x 1.2 x 10²²) / (1.172 x10)²
G_E = 5.827 x 10⁹ N/kg
Force of gravity between the object and Pluto's surfaceThe force of gravity between the object and Pluto's surface is calculated as follows;
F = GMm/r²
F = (6.67 x 10⁻¹¹ x 1.2 x 10²² x 100) /(1.172 x 10)²
F = 5.827 x 10¹³ N
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Explain why a ping pong ball and bouncy ball of the same size have different weights
Answers
Answer:
the material
Explanation:
weight is defined as the amount of force on the object because of gravity. ping pong balls and bouncy balls are made out of different materials that are different weights. most bouncy balls are also not hollow, unlike ping pong balls. these factors affect the weight of these objects.
A 31.0 kW electric motor drives a vehicle at an average velocity of 9.20 m/s. Assuming a constant force is applied in the direction of the vehicles motion, what is the magnitude of the applied force?
Answers
The magnitude of the applied force is 3369.57 N.
What is Force?
Force can be defined as the product of mass and acceleration.
To calculate the magnitude of the applied force, we use the formula below.
Formula:
P = Fv................ Equation 1Where:
P = Power of the electric motorF = Applied forcev = Velocity
Make F the subject of the equation
F = P/v................. Equation 2
From the question.
Given:
P = 31 kW = 31000 Wv = 9.2 m/s
Substitute these values into equation 2
F = 31000/9.2F = 3369.57 N
Hence, the magnitude of the applied force is 3369.57 N.
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Solar panels convert _______ energy to ______ energy which can be used to heat water
Answers
1. A ball with a mass of 2.3 kg travels with a velocity of 10 m/s. What is it's kinetic energy?
Answers
Answer:
KE=½mv²
KE=½2.3kg×(10m/s)²
KE=½2.3kg×100m²/s²
KE=2.3kg×50m²/s²
KE=115joules
onsider laminar flow of a fluid through a square channel with smooth surfaces. now the average velocity of the fluid is doubled. determine the change in the head loss of the fluid. assume the flow regime remains unchanged
Answers
The head loss doubles when the average velocity is doubled.
The velocity formula: why?
The vector quantity velocity (v), denoted by equation v = s/t, quantifies dislocation (or shift in position, s), over change in time (t).
How do velocity and speed differ?Velocity is the pace and direction of the an object's movement, whereas speed is the timekeeping at which an object is travelling along a path.In other words, velocity is a vector, whereas speed is indeed a scalar value.
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