leggo has mass 21g. in all problems assume the leggo slides wit negligible frict

Question

leggo has mass 21g. in all problems assume the leggo slides wit negligible friction.

A) If the leggo starts from at a height of 32 cm from the ground on the ramp, how fast is it going when it gets to the bottom of the ramp?

B) If the leggo is pushed up against a spring (K=44.1kg/s^2) with an initial compression of 5.3 cm and released from rest, how fast is it moving when it leaves the spring? Assume the spring is completely decompressed when the leggo leaves the spring and slides on a horizontal surface?

Explanation / Answer

A) At the bottom initial PE is converted into KE

Hence,

PEi=KEf

mgh=1/2mv^2

v=sqrt(2gh) = sqrt(2*9.8*0.32) = 2.5 m/s

B) Elastic PE is converted into the KE

1/2kx^2 = 1/2mv^2

v=sqrt(k/m)*x = sqrt(44.1/0.021)*0.053 = 2.43m/s

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