The 3 kg object in Figure 7-18 is released from rest at a height of 5 m on a cur

Question

The 3 kg object in Figure 7-18 is released from rest at a height of 5 m on a curved frictionless ramp. At the foot of the ramp is a spring of force constant k = 450 N/m. The object slides down the ramp and into the spring, compressing it a distance x before coming momentarily to rest.

1. Find x.

The 3 kg object in Figure 7-18 is released from rest at a height of 5 m on a curved frictionless ramp. At the foot of the ramp is a spring of force constant k = 450 N/m. The object slides down the ramp and into the spring, compressing it a distance x before coming momentarily to rest. Find x.

Explanation / Answer

potential energy in spring=PE in block

1/2 kx^2=mgh

putting value and solving,we get

x=(3*9.8*5/225)^1/2=0.808 m

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