Question

a block of mass 2.4 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 490N/m the angle of the ramp with respect to the horizontal is 31 degrees

A.) the block starting from rest slides down the ramp a distance 78 cm before hitting the spring how far in cm is the spring compressed as the block comes to momentary rest?

B.) After the block comes to rest the spring pushes the block back up the ramp how fast in meters per second is the block moving right after it comes off the spring

C.) what is the change of the gravitational potential energy in joules between the original position of the block at the top of the ramp and the position of the block when spring is fully compressed?

Answer 1

Given mass of block,

Spring Constant,

First find vertical height difference 'h' covered when the block slides 78cm along the incline

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(A)During collision with spring Gravitational Potential Energy is converted to Elastic potential energy of spring

ANSWER:

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(B)Elastic potential energy of spring is converted to kinetic energy

ANSWER:

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(c)Length difference between original position of the block at the top of the ramp and the position of the block when spring is fully compressed = 81.86cm

Change of the gravitational potential energy,

ANSWER:

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