A spring has a spring constant of 10 N/cm and a spring potential energy of 6 J. Determine the stretch of the spring in cm. Rearrange U = 1/2 kx^2 and solve for x.
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A spring has a spring constant of 10 N/cm and a spring potential energy of 6 J. Determine the stretch of the spring in cm. Rearrange U = 1/2 kx^2 and solve for x.
Given information:
The spring constant of the spring,
The potential energy of the spring,
To find
the stretch of the spring in cm
Step by step
Solved in 3 steps
- A 25.0-kg block is released from rest at point A. The track is frictionless except for the portion between points B and C, which has a length of 10.00 m. The block travels down the track, hits a spring of force constant 2000 N/m, and compresses the spring 0.50 m from its equilibrium position before coming to rest momentarily. Determine the coefficient of kinetic friction between the block and the rough surface between points B and C.Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as in the figure below. The helper spring engages when the main leaf spring is compressed by distance Yo' then helps to support any additional load. Consider a leaf spring constant of 5.35 × 105 N/m, helper spring constant of 3.60 × 105 N/m, and y₁ = 0.500 m. Truck body Yo Axle (a) What is the compression of the leaf spring for a load of 4.10 × 105 N? 0.69 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m (b) How much work is done compressing the springs? J andA toy bow is used to fire an arrow directly upwards. The spring constant of the bowstring is 17 N/m, and the arrow has mass 0.013 kg. If the bow is drawn 0.15 m before firing, calculate the speed of the arrow when it leaves the bow.
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