Calculating Work and Power: 50-N Force on a 2-kg Object

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U = initial velocity, V = final velocity, a = accelerationIn summary, the problem involves a 50-N force acting on a 2-kg object starting from rest for 2 seconds. The rate at which the force is doing work is 2500W. For the second problem, the object has gone 2m and the rate at which the force is doing work is unknown. To solve this, one can use the equation V^2 = U^2 + 2as with s = 2m and U = 0, and then calculate the final velocity and use it to find the rate of work.
  • #1
zumi78878
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Homework Statement



65. A 50-N force is the only force on a 2-kg object that starts from rest. When the force has been
acting for 2 s the rate at which it is doing work is:
A. 75W
B. 100W
C. 1000W
D. 2500W
E. 5000W
ans: D

66. A 50-N force is the only force a 2-kg crate that starts from rest. At the instant the object has
gone 2m the rate at which the force is doing work is:
A. 2.5W
B. 25W
C. 75W
D. 100W
E. 500W

Q1 solved but i have no idea how to do the second one!
 
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  • #2
Look up the standard equations of motion (SUVAT). Some are more useful for problems involving time (eg Q1) and others for displacement (Q2).

Perhaps this one...

V^2 = U^2 + 2as

where s = displacement
 

1. What is the difference between power and work?

Power is the rate at which work is done, while work is the measure of energy transfer that occurs when a force is applied over a distance.

2. How is power calculated?

Power is calculated by dividing the work done by the time it takes to do that work. The formula is P = W/t, where P is power, W is work, and t is time.

3. What are the units of power?

The unit of power is watts (W), which is equal to one joule of work per second.

4. Can power be negative?

Yes, power can be negative. This happens when work is being done in the opposite direction of the force applied, resulting in energy being transferred away from the object instead of towards it.

5. How does power relate to machines?

Machines are designed to increase the amount of work that can be done with a given amount of power. They do this by changing the direction or magnitude of the force applied, allowing for more work to be done in less time.

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