A question regarding power and hookes law

In summary, power is the rate at which work is done or energy is transferred. It is measured in watts and is calculated by multiplying force and velocity. Hooke's Law states that the force needed to stretch or compress a spring is directly proportional to the distance it is stretched or compressed. This can be expressed as F = -kx, where F is the force, x is the displacement, and k is the spring constant. While power is not directly related to Hooke's Law, it can be used to calculate the work done on a spring and the power needed to move the spring. Power can also be negative in relation to Hooke's Law if the spring is being compressed. Temperature can affect Hooke's Law by changing the
  • #1
physicskid72
13
0

Homework Statement



A 2.8 m high spring has a spring constant of 12 N/m. How much power is required if the spring is compressed 1.2 m in 2.5s?

Homework Equations



Pe= 1/2kx^2

Power= W/t

The Attempt at a Solution



=1/2(12)(1.2)^2
=8.64 J

so... Power = 8.64/2.5

= 3.456 watts

is this correct? thanks in advance!
 
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  • #2
Looks good to me.
 

1. What is power?

Power is the rate at which work is done or energy is transferred. It is measured in watts (W) and is the product of force and velocity.

2. What is Hooke's Law?

Hooke's Law states that the force needed to stretch or compress a spring is directly proportional to the distance it is stretched or compressed. This relationship can be expressed as F = -kx, where F is the force, x is the displacement, and k is the spring constant.

3. How is power related to Hooke's Law?

Power is not directly related to Hooke's Law, but it can be used to calculate the work done on a spring when it is stretched or compressed. This work can then be used to determine the power needed to move the spring.

4. Can power be negative in relation to Hooke's Law?

Yes, power can be negative if the spring is being compressed instead of stretched. This means that work is being done on the spring instead of by the spring.

5. How does temperature affect Hooke's Law?

Temperature can affect Hooke's Law by changing the spring constant. As temperature increases, the spring constant may also increase, making the spring stiffer and changing the relationship between force and displacement. This can cause deviations from Hooke's Law and affect the power needed to move the spring.

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