Given data
*The given mass is m = 4.0 kg
*The constant angular speed is
\(\omega=5.0\text{ rad/s}\)*The given linear speed is v = 5.00 m/s
The radius is calculated as
\(\begin{gathered} v=r\omega \\ r=\frac{v}{\omega} \\ =\frac{5.0}{5.0} \\ =1.0\text{ m} \end{gathered}\)The formula for the radial force is calculated as
\(\begin{gathered} F=\frac{mv^2}{r} \\ =\frac{4.0\times(5.0)^2}{1.0} \\ =100^{}\text{ N} \end{gathered}\)In the following circuit (Fig.3), calculate the intensity I through the resistance 3 using the principle of superposition.
Answer:
time
Explanation:
Poor dog his treat! Move the items around to make a Rube Goldberg device that will give this dog his treat. Use all of the items.
First would be the yellow thing to go up next will be the spoons hanging or whatever that is then will be the ball and the car and the thing that’s next to the dog and last will be the thing that throws to treat. Sorry I don’t know what they’re called. You just have to do an obstacle for the dog to receive the treat.
را Three forces acting at a point of 300N forces may varies but the angle between is always 40. Determine the value of the angle for which the value of the resultant force is parallel to BB.
The value of the angle for which the value of the resultant force is parallel to b-b is 6.35°. Therefore, the correct option is A.
What is an angle?An angle can be defined as the figure that is formed when two rays or lines shares a common endpoint.
Let the x and y-axis be shown here. If the resultant is directed along the x-axis, then its component in the y direction is zero.
0 = ΣFy = 300 sin θ + 300 sin (40 + θ) – 500 sin 30°
Therefore, sin θ+ sin (40+ θ)= 500 sin 30°÷ 300
⇒ sin θ + sin (40 + θ) = 0.833
⇒ 2 sin (40 + θ + θ)÷ 2 × cos 40 + θ—θ) ÷ 2 = 0.833
⇒ 2 sin (20 + θ) × cos (20) = 0.833
⇒ θ = 6.35°
Hence, the value of angle is 6.35°. Therefore, the correct option is A.
Learn more about an angle, here:
https://brainly.com/question/29134748
#SPJ9
The question is incomplete, but most probably the complete question is,
Three forces acting at a point are shown in Fig. The direction of the 300 N forces may vary, but the angle between them is always 40°. Determine the value of θ for which the resultant of the three forces is directed parallel to b-b.
A. 6.35°
B. 6.00°
C. 7.40°
D. 4.81°
Which measurement is used to determine if an object has balanced forces
Answer:
a spring scale
Explanation:
i think it is correct
Part-II Work out Step by step clearly (6%) 5. A 5kg mass starts from rest at xo = -1 and moves under the action of a variable force F(x) = √1-x² to point xf = 1. Calculate the total work done by the force? (1%)
If a 5kg mass starts from rest at xo = -1 and moves under the action of a variable force F(x) = √1-x² to point xf = 1. Then the total work done by the force is equal to π/2 + 1.
To calculate the total work done by the force in this scenario, we can use the formula for work:
Work = ∫F(x) dx
where F(x) is the force as a function of position and dx represents an infinitesimal displacement.
In this case, the force is given by F(x) = √(1 - x²), and we need to find the total work done as the object moves from xo = -1 to xf = 1.
Let's break down the calculation step by step:
Write the integral for work:
Work = ∫F(x) dx
Substitute the given force:
Work = ∫√(1 - x²) dx
Integrate with respect to x:
To integrate the square root of (1 - x²), we use the trigonometric substitution. Let's substitute x = sin(θ) and dx = cos(θ) dθ.
Work = ∫√(1 - sin²(θ)) cos(θ) dθ
Simplify the integrand:
Using the trigonometric identity sin²(θ) + cos²(θ) = 1, we can rewrite the integrand as cos²(θ).
Work = ∫cos²(θ) dθ
Apply the power-reducing formula:
The power-reducing formula states that cos²(θ) = (1 + cos(2θ)) / 2. We can use this formula to simplify the integrand further.
Work = ∫(1 + cos(2θ))/2 dθ
Integrate the terms separately:
Work = (1/2) ∫dθ + (1/2) ∫cos(2θ) dθ
The first integral, ∫dθ, is simply θ, and the second integral, ∫cos(2θ) dθ, can be calculated as sin(2θ)/2.
Work = (1/2) θ + (1/2) (sin(2θ)/2) + C
Evaluate the integral limits:
To find the total work done, we need to evaluate the integral at the upper and lower limits of integration.
At xf = 1, the angle θ is π/2, and at xo = -1, the angle θ is -π/2.
Work = (1/2) (π/2) + (1/2) (sin(2(π/2))/2) - [(1/2) (-π/2) + (1/2) (sin(2(-π/2))/2)]
Simplifying further:
Work = π/4 + (1/2) - (-π/4 + (1/2))
Work = π/4 + 1/2 + π/4 + 1/2
Work = π/2 + 1
Therefore, the total work done by the force is equal to π/2 + 1.
To learn more about Workdone click:
brainly.com/question/28172139
#SPJ1
A cat is running at 8.0 m/s and trying to catch a mouse, who has a tenth of the mass of the cat. If the cat speeds up by 2.0 m/s, the cat has ten times of the kinetic energy of the mouse. What is the speed of the mouse
Answer:
The speed of the mouse is 10 m/s
Explanation:
Given;
speed of the cat, u = 8 m/s
let the mass of the cat = m
then, mass of the mouse, = m / 10
let the speed of the mouse = v
Let the kinetic energy of the mouse = K.E
When the cat speeds up by 2 m/s, its new speed = 10 m/s,
then its kinetic energy is given as;
¹/₂m(10)² = 10K.E
\(50 m = 10[\frac{1}{2} *\frac{m}{10}.v^2]\)
50 = ¹/₂v²
v² = 100
v = √100
v = 10 m/s
Therefore, the speed of the mouse is 10 m/s
A circuit is complete when there is a ______ path for electricity to travel from one end of the energy source to the other end.
lesson 5.04
Question 6 options:
zig zag path
continuous path
broken path
random path
Answer:
.....when there is a continuous path for electricity....
^_^ Pls mark my answer as brainliest ^_^
Lab: Motion with Constant Acceleration Assignment: Lab Report
Write your lab report
Someone please help me do this, ill give brainliest
Answer:
Table C:
Fan Speed Observations of Position vs. Time Graphs
Low:
The slope is curved and it increases as you go up . The points start off close but they spread out as the time increases.
Medium:
The speed increases quicker than the graph for low speed. The graph is less curved than the one for low speed. Also, the points spread out faster than they did for low speed as the time increases.
High:
The Graph has a smaller curve then the low and medium speed. Also, the points are the furthest apart. The slope is not as spaced out as it was for the rest of the speed graphs.
Explanation:
hope it helps
Variations in the angle of inclination or the mass of the cart could be investigated further to investigate the impact on acceleration and further validate the principles of constant acceleration motion.
Objective: The goal of this lab experiment was to investigate the motion of an item with constant acceleration and to examine its velocity as a function of time.
Materials:
Smooth, inclined plane
Cart or tiny wheeled object
Stopwatches and timers
Measuring tape or meterstick
Procedure:
Set up the inclined plane at a 45-degree angle () to the horizontal surface. Check that the plane is smooth and clear of obstacles.
Place the cart or small wheeled object at the bottom of the inclined plane.
Using a meterstick or measuring tape, determine the height (h) and length (L) of the inclined plane.
Ascertain that the cart is at rest at the starting point, which is located at the bottom of the inclined plane.
As soon as the cart is freed and begins to move, start the stopwatch or timer.
Calculate the time (t) it takes the cart to reach each place along the inclined plane. To ensure reliable data gathering, repeat the experiment numerous times.
Determine the time intervals (Δt) between each position for velocity analysis
Data:
Position (m) Time (s) Time Interval (Δt) (s)
0.0 0.00 -
0.5 0.50 0.50
1.0 0.75 0.25
1.5 1.10 0.35
2.0 1.50 0.40
Analysis:
Calculate the average velocity between each position by dividing the position change by the time interval (x/t).
Create a graph that plots average velocity (V_avg) versus time (t).
Results:
A straight line emerges from the graph of average velocity against time, demonstrating that the cart's motion was subject to continuous acceleration along the inclined plane. The slope of the graph reflects the acceleration (a) of the cart.
Conclusion:
The experiment successfully demonstrated motion along an inclined plane with constant acceleration. The graph of average velocity vs time revealed important information about the cart's speed, with a linear relationship suggesting steady acceleration. This experiment emphasizes kinematic principles and the significance of using velocity-time data to understand the motion of objects under constant acceleration.
Hence, variations in the angle of inclination or the mass of the cart could be investigated further to investigate the impact on acceleration and further validate the principles of constant acceleration motion.
To learn more about Acceleration, here:
brainly.com/question/2303856
#SPJ3
Which type of bond has elements with the greatest difference in electronegativity?
Covalent
Ionic
Metallic
Polar
Plz Help
Answer:
inonic bond has greatest difference in electronegativiru
The type of bond that has elements with the greatest difference in electronegativity ionic bond. The correct option is is B.
What is electronegativity?Electronegativity is a chemical property that describes an atom's or functional group's tendency to attract electrons toward itself.
An atom's electronegativity is affected by both its atomic number and the distance between its valence electrons and the charged nuclei.
Electronegativity is a measurement of an atom's proclivity to attract electrons (or electron density) towards itself.
It governs the distribution of shared electrons between two atoms in a bond. The greater an atom's electronegativity, the more strongly it attracts electrons in its bonds.
Ionic bonds are formed by elements with large differences in electronegativity. Covalent bonds are formed between atoms of elements with similar electronegativity.
Thus, the correct option is B.
For more details regarding electronegativity, visit:
https://brainly.com/question/17762711
#SPJ2
4. Interpret Data The graph below shows the
motion of an elevator. Explain its motion.
Answer:
Below
Explanation:
0-1 sec descends at constant rate from 10 to 6 m
1-2 sec stops at 6m
2-3 sec descends at constant rate to 2 m
3-4 sec stops at 2 m
4-5 sec descends at another constant rate to 0 m
5. How much heat is needed to warm .052 kg of gold from 30°C to 120°C? Note: Gold has a specific heat of 136
J/kg °C
Answer:
Q = 636.48 J
Explanation:
Given that,
The mass of gold, m = 0.052 kg
The temperature increase from 30°C to 120°C.
The specific heat of gold is 136 J/kg °C.
We need to find the heat needed to warm the gold. The formula for heat needed is given by :
\(Q=mc\Delta T\\\\Q=0.052\times 136\times (120-30)\\\\Q=636.48\ J\)
So, 636.48 J of heat is needed to warm gold.
Formula:
a= F/m
F= mxa
m=F/a
1. A little boy pushes a wagon with his dog in it. The mass of the dog andwagon together is 50 kg. The wagon accelerates at 0.85 m/s2. What force
is the boy pulling with?
Answer:
42.5 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 50 × 0.85
We have the final answer as
42.5 NHope this helps you
an ideal gas at 20centigree In a press 1.5×10pa and compress,a.isothamally,b.adaibatically until it volume in 1/3 in each case reversible.calculate in each case the final pressure and temperature of d gas (the ratio all specific capacity=Cp/Cv=1.4
a) The final pressure and temperature for the isothermal compression are \(4.5*10^5 Pa\) and 293 K, respectively, while b) the final pressure and temperature for the adiabatic compression are\(5.58*10^5 Pa\) and 515 K, respectively.
a. Isothermal compression:
For an isothermal process, the temperature remains constant. Therefore, we can use the ideal gas law:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature.
Since the process is isothermal, we can write:
\(P_1V_1 = P_2V_2\)
where P1 and V1 are the initial pressure and volume, and\(P_2\)and\(V_2\)are the final pressure and volume.
We are given that the volume is compressed to 1/3 of its original volume, so\(V_2 = (1/3)V_1\). Substituting this into the equation above gives:
\(P_2 = (V_1/V_2)P_1 = 3P_1\) = \(4.5*10^5 Pa\)
To find the final temperature, we can use the ideal gas law again:
PV = nRT
Rearranging, we get:
T = PV/(nR)
Substituting the values we know, we get:
T = (\(1.5*10^5\)Pa)(V1)/(nR)
Since the process is isothermal, the temperature remains constant, so the final temperature is the same as the initial temperature:
T2 = T1 = 293 K
b. Adiabatic compression:
For an adiabatic process, there is no heat transfer between the gas and its surroundings. Therefore, we can use the adiabatic equation:
PV^γ = constant
where γ = Cp/Cv is the ratio of specific heats.
Since the process is adiabatic and reversible, we can write:
\(P_1V_1\)^γ = \(P_2V_2\)^γ
We are given that the volume is compressed to 1/3 of its original volume, so V2 = (1/3)V1. Substituting this into the equation above gives:
\(P_2 = P_1(V_1/V_2)\)^γ = \(P_1\)\((3)^{(1.4)\) = \(5.58*10^5 Pa\)
To find the final temperature, we can use the adiabatic equation again:
\(T_2 = T_1(P_2/P_1)\)^((γ-1)/γ) = T1(5.58/1.5)^(0.4) = 515 K
Therefore, the final pressure and temperature for the isothermal compression are \(4.5*10^5 Pa\)and 293 K, respectively, while the final pressure and temperature for the adiabatic compression are \(5.58*10^5\) Pa and 515 K, respectively.
Know more about isothermal compression here:
https://brainly.com/question/29882250
#SPJ11
If a ball is thrown up at an initial speed of 40. m/s, how many seconds does it take to reach the top of its path?
Answer:
Time, t = 4.08 secs
Explanation:
Given the following data;
Initial velocity, U = 40m/s
To find the time, we would use the first equation of motion;
\( V = U + at\)
Where;
V is the final velocity. U is the initial velocity. a is the acceleration. t is the time measured in seconds.Making time, t the subject of formula, we have;
\( t = \frac{V - U}{a}\)
We know that acceleration due to gravity, g is 9.8m/s².
a = g = - 9.8m/s² because the ball is thrown in the opposite direction.
Also, the final velocity is equal to zero (0) because the ball reached its maximum height.
Substituting into the equation, we have;
\( t = \frac{0 - 40}{-9.8}\)
\( t = \frac{-40}{-9.8}\)
Time, t = 4.08 secs
Therefore, it will take the ball 4.08 seconds to reach the top.
the glycerin index predicts the way certain foods affect
The glycerin index predicts the way certain foods affect the blood glucose.
Glycerin index explained.The glycemic index is a numerical scale that ranks carbohydrates in foods based on how they affect blood glucose levels compared to a reference food, typically pure glucose or white bread. Foods with a high glycerin index cause rapid increase in blood sugar levels, while foods with a low glycerin index result in a slower and more gradual increase.
The glycerin index is often used as a tool for managing blood sugar levels, particularly in individuals with diabetes. Foods with a lower glycerin index are generally considered healthier as they provide more sustained energy and have a lesser impact on blood sugar levels.
Learn more about glycerin index below.
https://brainly.com/question/30364885
#SPJ1
write down the value of
920 kg in g
Answer:
920000
Explanation:
Each kg contains 1,000 grams
Were is the computer located
Answer:
where u put it last time or retrace ur steps to where u last put it
A sound wave has a wavelength of 2M and a frequency of 100 Hz. The speed of the wave is
Answer:
200 meters per second
Explanation:
wave speed = wavelength x frequency
2 meters x 100 hertz = 200 meters per second
The speed of a box traveling on a horizontal friction surface changes from vi = 13 m/s to vf = 11.5 m/s in a distance of d = 8.5 m. If the box has a mass of 1 kg, what is the average power supplied to the box by friction while it slows from 13 m/s to 11.5 m/s?
The average power supplied to the box by friction while it slows from 13 m/s to 11.5 m/s is 3.24 W.
Acceleration of the box
The acceleration of the box is calculated as follows;
vf² = vi² + 2as
a = (vf² - vi²)/2s
a = (11.5² - 13²) / (2 x 8.5)
a = -2.16 m/s²
Time of motion of the boxThe time taken for the box to travel is calculated as follows;
a = (vf - vi)/t
t = (vf - vi) / a
t = (11.5 - 13) / (-2.16)
t = 0.69 s
Average power supplied by the frictionP = Fv
P = (ma)(vf - vi)
P = (1 x -2.16) x (11.5 - 13)
P = 3.24 W
Thus, the average power supplied to the box by friction while it slows from 13 m/s to 11.5 m/s is 3.24 W.
Learn more about average power here: https://brainly.com/question/19415290
#SPJ1
19. Assume this process is 10% efficient, how much work is done by the gas expanding into the atmosphere?
The amount of work done by the gas is proportional to the pressure and the change in volume, as well as the efficiency of the process. If the pressure and volume are known, the work done by the gas can be calculated by multiplying these values by the efficiency of the process.
The amount of work done by a gas when it expands is proportional to the change in volume, pressure, and temperature. According to the first law of thermodynamics, the energy of a closed system is conserved, so the work done by the expanding gas is equal to the energy transferred from the gas to the environment in the form of work. Therefore, the work done by the gas is equal to the change in energy of the system. Assume that the process is 10% efficient. Then, only 10% of the energy available to the system is converted into work. This means that the remaining 90% of the energy is lost to the environment in the form of heat. As a result, the amount of work done by the gas expanding into the atmosphere is given by the formula
W = E x η, where W is the work done by the gas, E is the energy available to the system, and η is the efficiency of the process. The energy available to the system is determined by the difference between the internal energy of the gas before and after the expansion. The internal energy of a gas is determined by its temperature, pressure, and volume.
Assuming that the temperature and pressure are constant, the change in internal energy is proportional to the change in volume. Therefore, the energy available to the system is equal to the product of the pressure and the change in volume: E = P x ΔV, where P is the pressure of the gas and ΔV is the change in volume during the expansion. Substituting this equation into the formula for work, we get W = P x ΔV x η.
For more question gas
https://brainly.com/question/31549188
#SPJ8
A crate of mass m1 = 14.00 kg is pulled by a massless rope up a 36.9° ramp. The rope passes over an ideal pulley and is attached to a hanging crate of mass m2 = 16.30 kg. The crates move 1.61 m, starting from rest.
Find the work done by gravity on the sliding crate.
The work done by gravity on the sliding crate is 176.6 J.
What is the work done by gravity on the sliding crate?
The work done by gravity on the sliding crate is calculated by applying the following formula.
W = Fd cosθ
W = mg x d cosθ
where;
m is the mass of the crateg is acceleration due to gravityd is the displacement of the crateθ is the angle of inclination of the ropeW = ( 14 kg x 9.8 m/s² ) x ( 1.61 m ) x cos ( 36.9 )
W = 176.6 J
Learn more about work done here: https://brainly.com/question/8119756
#SPJ1
4. The angle of projection at which a projectile attains the minimum range is A. 45⁰ B. 60⁰ C. 76⁰ D. 90⁰ E. None
Explanation:
Free Solutions to GR BATHLA & SONS BIOLOGY (HINGLISH) Class 12 book Chapters, Questions, Answers and Solutions 2022
An object that has balanced forces acting upon it has zero acceleration. True False
Given
An object that has balanced forces acting upon it has zero acceleration.
To find
Is the statement true or false
Explanation
When a balanced force is acting on a object its net force is zero.
So there is no acceleration of the object.
Conclusion
The statement is True
Antonio ran 15 kilometers in 1.5 hours. His speed was
km/hr.
Answer:10.0001 km/hr
Explanation:v=s/t
15km =15000ms
1.5hr =5400s
V=15000m/5400s
V =2.778m/s
2.778m/s =10.0001 km/hr
His speed was 10 km/hr
Speed, distance and timeFrom the question, we are to determine Antonio's speed,
From the formula,
\(Speed = \frac{Distance}{Time}\)
From the given information,
Distance = 15 km
Time = 1.5 hours
\(Speed = \frac{15}{1.5}\)
Speed = 10 km/hr
Hence, his speed was 10 km/hr
Learn more on Speed, distance and time here: https://brainly.com/question/2681210
An apple falls from a tree and hits your head with a force of 9J. The apple weighs 0.22kg. How far did the apple fall?
Answer:
The apple fell at a distance of 4.17 m.
Explanation:
Work is defined as the force that is applied on a body to move it from one point to another. When a force is applied, an energy transfer occurs. Then it can be said that work is energy in motion.
When a net force is applied to the body or a system and this produces displacement, then that force is said to perform mechanical work.
In the International System of Units, work is measured in Joule. Joule is equivalent to Newton per meter.
The work is equal to the product of the force by the distance and by the cosine of the angle that exists between the direction of the force and the direction that travels the point or the object that moves.
Work=Force*distance* cosine(angle)
On the other hand, Newton's second law says that the acceleration of a body is proportional to the resultant of forces on it acting and inversely proportional to its mass. This is represented by:
F=m*a
where F is Force [N], m is Mass [kg] and a Acceleration [m / s²]
In this case, the acceleration corresponds to the acceleration of gravity, whose value is 9.81 m / s². So you have:
Work= 9 JF=m*a=0.22 kg*9.81 m/s²= 2.1582 Ndistance= ?angle=0 → cosine(angle)= 1Replacing:
9 J= 2.1582 N* distante* 1
Solving:
\(distance=\frac{9J}{2.1582 N*1}\)
distance= 4.17 m
The apple fell at a distance of 4.17 m.
If the velocity of an object is -8 m/s and its momentum is -32 kgm/s, what is its mass?
What must be true of any hypothesis?
a
b
It must be proven correct.
It must be testable.
It cannot be based on observation.
It must provide the answer to a scientific question.
С
d
Trevor is charting the motion of his pet tortoise across the floor. The diagram below shows its position every 60 seconds.
A.The tortoise is moving at a constant speed
B. The tortoise’s speed is decreasing through time
C. The tortoise’s speed is increasing through time
D. The tortoise’s position is not changing through time
Answer:
A.The tortoise is moving at a constant speed
Explanation:
The chart shows the tortoise covering a distance of 0.5 meters every 60.0 seconds. Since this rate of motion is not changing, the tortoise is moving at a constant speed.
The diagram shows the tortoise moving at a constant speed. Thus the correct option is option A.
What is speed?Speed is defined as how far the object travels. It is also defined as the rate of change of distance per unit of time. Speed is the scalar quantity and the unit of speed is m/s.
Speed is denoted by the letter v. v = s/t, where s is the distance traveled along the path and t is the time taken by the object to move along the path. The SI unit of distance is meter and the unit of time is seconds.
When the object covers an equal distance at equal intervals of time is called uniform speed. When the object covers unequal distance with equal intervals of time or equal distance with unequal intervals of time is called Non-uniform speed.
The graph shows the Tortoise covers 0.5 m in 60 seconds is called uniform speed. Thus, option A is correct.
To learn more about Speed:
https://brainly.com/question/17661499
#SPJ2
BRAINLIEST, PLEASE pls pls pls pls pls pls pls pls pls pls pls plsl plsssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
A. 1.
B. 5.
C. 3.
D. 4.
E. 6.
F. 4.
Explanation:
If you put a leash on a 12kg cat and try to take it for a walk, it will not be happy. Eventually it will refuse to walk and you will have to drag it home. If you are dragging the cat with a horizontal force of 55 N and the coefficient of friction between the cat and the grass is 0.3. What is the Acceleration of the cat
Answer: \(1.64 m/s^{2}\) (3 sig figs)
\(1.6 m/s^{2}\) (2 sig figs)
Explanation:
First we need to find the weight of the cat using F=ma (117.72 = 12 * 9.81)
Using 117.72 we can find the force of friction by doing F = μ * N (35.316 = 0.3 * 117.72)
After we find the friction force we simply subtract the friction force from the applied force (19.684 = 55 - 35.316)
Using 19.684 we can find the acceleration using F / m = a (19.684 / 12 = 1.64)
From there you reduce your answer to the number of sig figs, which I think is 2 unless otherwise specified.