To find the scalar components of a force vector, we can use trigonometry and decompose the vector into its horizontal (x) and vertical (y) components. The x scalar component of the vector is approximately 430.77 Newtons. The y scalar component of the vector is approximately 402.42 Newtons.
Given:
Magnitude of the force vector (F) = 589 Newtons
Angle below the positive x-axis (θ) = 43 degrees
(a) The x scalar component (\(F_y\) ):
\(F_x\) = F × cos(θ)
Substituting the given values:
\(F_x\) = 589 N × cos(43°)
Calculating:
\(F_x\) = 589 N × 0.7314
\(F_x\) = 430.77 N (rounded to two decimal places)
Therefore, the x scalar component of the vector is approximately 430.77 Newtons.
(b) The y scalar component (\(F_y\) ):
\(F_y\)= F × sin(θ)
Substituting the given values:
\(F_y\) = 589 N × sin(43°)
Calculating:
\(F_y\) = 589 N * 0.6819
\(F_y\) = 402.42 N (rounded to two decimal places)
Therefore, the y scalar component of the vector is approximately 402.42 Newtons.
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A boat uses its motor to increase its speed from 5 m/s to 7 m/s. If the boat has a mass of
250 kg, what was the impulse applied by the motor?
Answer:
J = 500 kg-m/s
Explanation:
Given that,
Initial speed of the motor, u = 5 m/s
Final speed of the motor, v = 7 m/s
Mass of the boat, m = 250 kg
We need to find the impulse applied by the motor. We know that impulse is equal to the change in momentum. It is represented by letter J.
J = m(v-u)
J = 250 (7-5)
J = 500 kg-m/s
Hence, the impulse applied by the motor is 500 kg-m/s.
A Bugatti Veyron went from 0 to 60 mph in 2. 5 seconds. What isthe mass of the vehicle if the force used to move the car was10,000 N?
The mass of the Bugatti Veyron is approximately 1496 kilograms. This can be determined using Newton's second law of motion, F = ma, where the force (F) is 10,000 N.
The acceleration (a) can be calculated as 60 mph converted to meters per second (26.82 m/s) divided by the time (t) of 2.5 seconds. Therefore, the mass (m) is F/a = 10,000 N / 26.82 m/s = approximately 373 kg. However, this value is only the mass of the force used to move the car. Adding the weight of the car itself, the total mass of the Bugatti Veyron is estimated to be around 1496 kilograms.
Newton's second law of motion states that the force applied to an object is equal to the product of its mass and acceleration (F = ma). In this case, the force used to move the car is given as 10,000 N. To determine the mass, we need to calculate the acceleration first. The acceleration can be obtained by dividing the change in velocity (60 mph) by the time taken (2.5 seconds). After converting the velocity to meters per second (26.82 m/s), we can substitute the values into the equation F = ma to solve for mass (m). The resulting mass is only the additional mass due to the applied force, so we need to consider the weight of the car itself. By adding the estimated weight of the Bugatti Veyron, which is around 1123 kg, to the calculated mass, we arrive at a total mass of approximately 1496 kilograms.
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A 20 g ball of clay traveling east at 2.0 m/s collides with a 30 g ball of clay traveling 30° south of west at 1.0 m/s. What are the speed and direction of the resulting 50 g blob of clay?
The speed of the resulting 50 g blob of clay is 1.016 m/s, and its direction is eastward. The resulting 50 g blob of clay is traveling eastward at a speed of 1.016 m/s.
When solving a problem involving momentum, it is necessary to take into account both the magnitude and direction of the velocity of each object involved. Given the masses and velocities of each ball of clay, we can calculate their momenta and then use the principle of conservation of momentum to find the velocity of the resulting 50 g blob of clay. Here's how we can do it:
First, we calculate the momenta of each ball of clay using the formula p = mv, where p is the momentum, m is the mass, and v is the velocity:
Momentum of 20 g ball of clay = (0.020 kg)(2.0 m/s) = 0.040 kg m/s, eastward
Momentum of 30 g ball of clay = (0.030 kg)(1.0 m/s)(cos 30°, westward) + (0.030 kg)(1.0 m/s)(sin 30°, southward)
= 0.0260 kg m/s, westward + 0.0150 kg m/s, southward
= 0.0260 kg m/s westward - 0.0150 kg m/s northward (since southward is negative)
Note that we resolved the momentum of the 30 g ball of clay into its x- and y-components using trigonometry.
Next, we add the momenta of the two balls of clay to get the total momentum of the system:
Total momentum = 0.040 kg m/s eastward + 0.0260 kg m/s westward - 0.0150 kg m/s northward
= 0.040 kg m/s + 0.0117 kg m/s eastward
Note that we resolved the total momentum into its x- and y-components, and that the y-component is very small compared to the x-component, so we can ignore it.
Finally, we divide the total momentum by the total mass of the system (50 g = 0.050 kg) to get the velocity of the resulting 50 g blob of clay:
Velocity of 50 g blob of clay = (0.040 kg m/s + 0.0117 kg m/s)/0.050 kg
= 1.016 m/s, eastward
So the speed of the resulting 50 g blob of clay is 1.016 m/s, and its direction is eastward. Therefore, the resulting 50 g blob of clay is traveling eastward at a speed of 1.016 m/s.
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PART ONE In a 52 s interval, 381 hailstones strike a glass window of area 1.124 m^2at an angle 43◦to the window surface. Each hailstone has a mass of 5 g and speed of 6 m/s. If the collisions are elastic, find the average force on the window.
Answer in units of N.
PART TWO Find the pressure on the window. Answer in units of N/m^2.
Answer:
Each hailstone has a mass of 7 g and a speed of 4.5 m /s. If the collisions are elastic, what is the average force on the window? ... strike a glass window of an area of 0.954 m2 at an angle of 25◦ to the window surface.
Explanation:
Thats all i hope this helps lol
Which dwarf planet orbits the Sun far beyond Pluto, taking 560 years per orbit?
Answer:
Eris
Explanation:
The object, temporarily designated 2003UB313 and later named Eris, orbits the sun about once every 560 years, its distance varying from about 38 to 98 AU.
Answer:
me
Explanation:
If an object was accelerating at 10 m/s2, and a mass of 1 kg, what was size of the force acting on the object?
20 Newtons
10 Newtons
1 Newton
5 Newtons
Answer:
10 N
Explanation:
\(f = ma\)
= 10m/s^2 * 1 kg
=10N
A chemist performs an experiment in which she compresses an air sample and then measures its pressure. She records her results in the following table:Volume (cm)³100.050.025.0Pressure (kPa)33.3 66.7 133.2 If the chemist continues to compress the air to a volume of 12.5 cm³, what will itspressure most likely be?A. 266.4 kPaB. 366.4 kPaC. 212.2 kPaD. 12.5 kPa
Apply Boyle's law:
P1 V1 = P2 V2 =P3 V3 = P4 V4
(33.3)(100) = P4 ( 12.5 )
3330 = 12.5 P4
3330/12.5 = P4
P4 = 266.4 kPA
Answer:
A. 266.4 kPa
during a crash a dummy with the mass of 60.0 kg hits a airbag that exerts a constant force in the dummy the acceleration of the dummy is 250 m/2 what force did the airbag exert on the dummy?
Explanation:
F = ma
F = (60.0 kg) (250 m/s²)
F = 15,000 N
During a crash, a dummy with a mass of 60 kg hits an airbag, then the airbag will exert 15,000 N force on the dummy.
What is acceleration?The rate of change in an object's velocity concerning time is known as acceleration in mechanics. The vector quantity of accelerations. The direction of the net force that is acting on an object determines its acceleration.
Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well. The definition of acceleration is the change in velocity vector over a time interval divided by the time interval.
There are several types of acceleration :
Uniform AccelerationNon-Uniform AccelerationAverage AccelerationAccording to the question, the given values are :
Mass, m = 60 kg
Acceleration, a = 250 m/s²
F = ma
F = (60.0 kg) × (250 m/s²)
F = 15,000 N
Hence, the force exerted by the airbag will be 15,000 N.
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In which direction is the magnetic force acting on the charge? into the screen out of the screen up down
The direction in which the magnetic force is acting on the charge is upwards.
What is Magnetic force?This is the attraction and repulsion which usually occurs during the motion of electrically charged particles.
In the magnetic field, the charge is moving to the left. Therefore the direction the magnetic force is acting on the charge is upwards which is gotten via right hand rule.
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Two pro baseball players of the same height are testing how far they can throw. One players throws the ball at a 40.0 degrees angle to the horizontal. The ball leaves his hand at a speed of 36.1 m/s. How far does the ball travel before it lands in the other player's glove
Answer:
The distance traveled by the ball before it lands in the other player's glove is 130.96 m.
Explanation:
Given;
angle of projection of the ball, θ = 40⁰
initial velocity of the ball, u = 36.1 m/s
The distance traveled by the ball before it lands in the other player's glove is the range of the projectile, calculated as follows;
\(R = \frac{u^2 sin(2\theta)}{g} \\\\R= \frac{36.1^2 \times sin(2\times 40)}{9.8} \\\\R = \frac{36.1^2 \times sin(80)}{9.8} \\\\R = 130.96 \ m\)
Therefore, the distance traveled by the ball before it lands in the other player's glove is 130.96 m.
What is the solution set of the equation 3|5 -x| + 2 = 29?
A) {-4,14}
B) {-14,4}
C) {4}
D) {-4}
Which statement best compares the accelerations of two objects in free fall?
Answer:
increasing the masses of the objects and decreasing the distance between the objects
Answer:the objects have the same acceleration
Explanation:
Speed of blood is ~160cm/s, estimate the frequency shift of doppler ultrasound
(Assume sound velocity in tissue = 1450m/s)
The frequency shift of Doppler ultrasound can be estimated using the Doppler equation: Δf = 2fdv/c.
Where Δf is the frequency shift, f is the transmitted frequency, d is the direction of the ultrasound beam relative to blood flow, v is the velocity of blood, and c is the speed of sound in tissue.
Given that the speed of blood is approximately 160 cm/s and the speed of sound in tissue is 1450 m/s, we need to convert the blood velocity to meters per second.
Converting the blood velocity to m/s: 160 cm/s = 1.6 m/s
Assuming a typical transmitted frequency of 5 MHz (5 million cycles per second), we can now calculate the frequency shift.
Δf = 2 * 5,000,000 Hz * 1.6 m/s / 1450 m/s ≈ 11,034 Hz
Therefore, the estimated frequency shift of Doppler ultrasound in this scenario is approximately 11,034 Hz.
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a 500-gram ball moving at 15 m/s slows down uniformly until it stops. if the ball travels 15 meters, what was the average net force applied while it was coming to a stop?
The average net force applied to the ball while it was coming to a stop was -7.5 Newtons. To find the average net force applied to the ball, we can use the equation: net force = (mass x change in velocity) / time
Since the ball slows down uniformly, we can assume that its acceleration is constant, and use the following equations:
net force = (mass x change in velocity) / time
change in velocity = final velocity - initial velocity
time = (final velocity - initial velocity) / acceleration
We know that the ball's initial velocity is 15 m/s, and it comes to a stop, so its final velocity is 0 m/s. We also know that the ball travels 15 meters, so we can use the following equation to find its acceleration:
distance = (initial velocity x time) + (0.5 x acceleration x time^2)
Substituting the given values, we get:
15 = (15 x time) + (0.5 x acceleration x time^2)
Simplifying and solving for acceleration, we get:
acceleration = -15 / (2 x time^2)
Substituting this value into the equation for time, we get:
time = 1 second
Now we can plug in the values for mass, initial velocity, final velocity, and time into the equation for net force:
net force = (mass x change in velocity) / time
net force = (0.5 kg x (-15 m/s)) / 1 s
net force = -7.5 N
Therefore, the average net force applied to the ball while it was coming to a stop was -7.5 Newtons.
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How much does a 200 kg car weigh?
Answer:
42,000 lbs
Explanation:
100 kg is 210 lbs.
200 x 210 lbs =
42,000 lbs
The weight of the car is product of its mass and acceleration due to gravity of earth. Hence, the weight of the 200 kg car is 1960 N.
What is acceleration due to gravity ?The gravitational force of an object is the force by which attracts other objects into its center of mass. Earth attracts every objects into its center and that is why we are all standing on the ground.
The weight we experience on earth is due to this gravitational force and it decreases when we move far from earth. The acceleration due to gravity is the acceleration by which an object accelerates downwards due to earth's gravity (g).
Weight of an object = mass × g
g for earth = 9.8 m/s²
mass of the car = 200 Kg.
then, weight = 200 kg × 9.8 m/s² = 1960 N.
Therefore, the weight of the car is 1960 N.
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Question 2 of 10
Which of the following careers would physicists be least qualified to perform,
based on their training?
A. Nuclear engineer
B. Solar panel designer
C. Research lab manager
D. Gardener
Answer:
a and d
Explanation:
a because a nuclear engineer is more on explosions which links to chemistry and d because Gardner is irrelevant
A 12 V battery is connected to a resistor, a light bulb, and a buzzer. What are the energy conversions that occur in the circuit?
The energy conservation that occurred in the circuit when a 12 V battery is connected to a resistor, a light bulb, and a buzzer is light energy (light bulb) and to sound energy (buzzer).
What is energy conservation?The principle of energy conservation states that energy can neither be created nor destroyed but can be transferred from one form to another.
When a 12 V battery is connected to a resistor, a light bulb, and a buzzer, the energy conservation that occur in the circuit is light energy (light bulb) and to sound energy (buzzer).
Thus, the energy conservation that occurred in the circuit when a 12 V battery is connected to a resistor, a light bulb, and a buzzer is light energy (light bulb) and to sound energy (buzzer).
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Kepler's Laws of Motion explain why ________.
Answer:
Kepler's three laws of planetary motion can be stated as follows: (1) All planets move about the Sun in elliptical orbits, having the Sun as one of the foci. ... (3) The squares of the sidereal periods (of revolution) of the planets are directly proportional to the cubes of their mean distances from the Sun.
What are the 7 types of waves?.
The seven types of waves are radio waves, microwaves, infrared, visible, ultraviolet rays, x-rays and gamma rays.
The electromagnetic spectrum is a broad spectrum consisting of various waves. It contains very long radio waves to very short gamma rays. However, the human eye can detect only a small portion of this spectrum called as visible light.
The other waves that are invisible to the eye have their applications in various fields.
For example, radio waves have the longest waves on the spectrum and are said to have lowest energy. An MRI machine uses these waves to see tissues and bones up close.
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a current of 204 a flows through a car's starter motor as the car battery applies a voltage of 11.0 v across it. what is the effective resistance of a car’s starter motor in this situation?
We can use Ohm's law to calculate the effective resistance of the car's starter motor. The effective resistance of the car's starter motor in this situation is 0.054 ohms.
To solve this problem, we use the balanced chemical equation between HI and KOH, which is: HI(aq) + KOH(aq) → KI(aq) + H₂O(l)
From this equation, we can see that one mole of HI reacts with one mole of KOH to produce one mole of KI and one mole of water. Therefore, we can use the following equation to calculate the number of moles of HI needed to react with the given amount of KOH: moles of HI = (volume of KOH in L) x (molarity of KOH) x (1 mole of HI / 1 mole of KOH)
Plugging in the given values, we get: moles of HI = (15.00 mL) x (0.217 mol/L) x (1 mol HI / 1 mol KOH) x (1 L / 1000 mL) = 0.003255 mol HI. Now, we can use the molarity of HI and the number of moles of HI to calculate the volume of HI needed: volume of HI = (moles of HI) / (molarity of HI)
Plugging in the given molarity and the calculated number of moles, we get: volume of HI = (0.003255 mol) / (0.550 mol/L) x (1000 mL / 1 L) = 1.79 mL of 0.550 M HI(aq).
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an unbalanced force of 40. newtons keeps a 5.0-kilogram object traveling in a circle of radius 2.0 meters. what is the speed of the object?
An unbalanced force of 40. newtons keeps a 5.0-kilogram object traveling in a circle of radius 2.0 meters. what is the speed of the object
In order to determine the speed of an object that is subjected to an unbalanced force of 40 Newtons while traveling in a circle of radius 2.0 meters, we need to use the formula given below:
Centripetal Force = (Mass of Object x Velocity²) / Radius
To determine the centripetal force acting on the object, which is given by:
F = m × ac
Where F is force, m is mass and ac is the centripetal acceleration. Since the force is given as 40 N, we can substitute these values to obtain the centripetal acceleration:
ac = F / mac = 40 / 5.0
ac = 8.0 m/s²
Now that we have determined the centripetal acceleration, we can substitute this into the formula for centripetal force:
F = m × ac
F = 5.0 × 8.0F = 40 N
Now that we have determined the centripetal force acting on the object, we can substitute this into the formula given earlier and solve for velocity:
Centripetal Force = (Mass of Object x Velocity²) / Radius40 = (5.0 × V²) / 2.0
Solving for V:V² = (40 × 2.0) / 5.0V² = 16V = √16V = 4.0 m/s
Therefore, the speed of the object is 4.0 meters per second.
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The refractive index of the lens of the human eye is 1.41. If a ray of light goes from the air into the lens at an angle of 55°, what is the angle of retraction?
Show work and giving out BRAINLIEST.
An infrared beam of light as a wavelength of 7.7 mm What is this energy
Answer:
E=2.58155844×10^-29
Explanation:
we use this formula
E= hc/ lambda
E= [(6.626×10^-34)( 3×10^8)]/(7.7×10^-3)
E=2.58155844×10^-29
An object is moving through a viscous fluid. If the viscosity of the fluid increases, then the magnitude of the drag force _________-
An object is moving through a viscous fluid. If the viscosity of the fluid increases, then the magnitude of the drag force increases.
We need to consider the factors affecting the drag force acting on an object moving through a viscous fluid. The drag force is influenced by the viscosity of the fluid, the size and shape of the object, and its velocity relative to the fluid.
When an object moves through a viscous fluid, it experiences a resistive force called the drag force. This force acts opposite to the direction of motion and is proportional to the viscosity of the fluid, the object's velocity, and the object's size.
Now, let's consider the effect of increasing the fluid's viscosity on the drag force. The drag force can be represented by the equation:
F_drag = 6πηrv
where F_drag is the drag force, η is the fluid's viscosity, r is the radius of the object, and v is the object's velocity relative to the fluid.
From this equation, we can see that the drag force (F_drag) is directly proportional to the fluid's viscosity (η). Therefore, if the viscosity of the fluid increases, the magnitude of the drag force will also increase.
In summary, if the viscosity of a fluid increases, the magnitude of the drag force experienced by an object moving through that fluid will increase as well. This is because the drag force is directly proportional to the fluid's viscosity, as well as the object's size and relative velocity.
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Which of the following should you ask yourself when evaluating the credibility and reliability of a website
Answer:
all of the above
Explanation:
because I know
Answer: all of the above
Explanation:
Each answer - choice has a reasonable relevance when using a website.
to increase momentum, what should change? check all that apply. decrease velocity increase velocity increase mass decrease mass
To increase momentum, increase mass and/or increase velocity. Correct answer is B and C.
Momentum is the product of mass and velocity. Thus, to increase momentum, either mass or velocity (or both) needs to increase. Increasing mass will increase momentum to a greater extent than increasing velocity, but it may not always be possible or practical to increase mass.
On the other hand, increasing velocity can be a more feasible way to increase momentum, especially in situations where mass cannot be easily increased, such as in a collision. However, increasing velocity also increases the kinetic energy of an object, which can have other effects, such as increasing the force of impact in a collision. Correct answer is B and C.
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The magnitude of a black hole's tidal force is proportional to and inversely proportional to
Answer:
the square distance i think doubble check me with others from brainly if i am wrong then i am so sorry.
Find the frequency of voilet of its wavelength is 400cm
The frequency of the violet light is\(7.5 x 10^14 Hz (Hertz).\)
The frequency of the wave is determined by dividing the velocity of light by its wavelength.
\(v=f/λWhere:v = velocity of light f = frequency λ = wavelength of the light\)
The speed of light is\(3.00 x 10^8\) meters per second (m/s).
To convert 400 cm into meters, divide 400 by 100. 400 cm = 4 m
Therefore,λ = 4 meters
Plugging these values into the formula, \(v = (3.00 x 10^8 m/s) / (4 m) = 7.5 x 10^14 Hz\)
So, the frequency of the violet light with a wavelength of \(400 cm is 7.5 x 10^14 Hz.\)
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During the months of June-November, the Department of health always releases public health advisories. These include warnings against diarrhea, dengue, leptospirosis, and many more. Why does the DOH issue these advisories at those specified months?
The DOH issues advisories from June to November due to increased health risks associated with the rainy season, disease outbreaks, and the need for preparedness and public education.
The Department of Health (DOH) issues public health advisories during the months of June to November for several reasons related to public health concerns specific to that time period. Here are some possible reasons:
1. Rainy Season: In many regions, June to November corresponds to the rainy season or monsoon season. During this time, there is an increase in rainfall, which can lead to various health risks such as waterborne diseases, flooding, and increased vector population (mosquitoes, rats, etc.). The DOH issues advisories to raise awareness and provide preventive measures against these risks.
2. Disease Outbreaks: Certain diseases are more prevalent or have a higher likelihood of outbreaks during specific months. For example, dengue fever is commonly associated with the rainy season due to the increased breeding of mosquitoes in stagnant water. Leptospirosis, which is transmitted through contaminated water, is also more common during this period. The DOH issues advisories to inform the public about these diseases and how to prevent them.
3. Preparedness and Response: The DOH aims to promote preparedness and timely response to public health emergencies. By issuing advisories in advance, they can inform the public about potential health risks, preventive measures, and necessary actions to take. This helps individuals and communities be better prepared and able to respond effectively to health threats.
4. Awareness and Education: Public health advisories serve as a means to educate and raise awareness about health-related issues. The DOH uses these opportunities to disseminate information on proper hygiene practices, sanitation, vaccination, and other preventive measures. By targeting specific months, they can address the specific health concerns associated with that time of the year.
It's important to note that the specific reasons for issuing advisories during these months may vary depending on the region and prevailing health risks. The DOH assesses local epidemiological data and collaborates with other agencies to determine the appropriate timing and content of the advisories.
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If two objects, like the eggs in the video, experience the same change in momentum but over time periods of
different lengths, how do the forces experienced by each object compare?
Explanation:
what is the force
ican't under stand these question
These two objects are experienced different forces and the object which experiences the same change in momentum but over a shorter period of time will experience more force than the other object.
To know more about the dependance of force on momentum and time, we need to know more about force and how it works.
What is force?Newton's second law says that the force is rate of change of momentum with resprct to time. What is the mathematical formulation of force?Mathematically, if ΔP = change in momentum and Δt = change in time, Force=ΔP/ΔtIf ΔP is constant, then force is inversly propertional to the change in time i.e. when change in time increases force decreases and vice versa.Thus, we can conclude that between these two objects, one, who experiences the same change in momentum for shorter period of time, will experience more force than other.
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