Ablock of mass m=0.4 kg starts from rest and slides down a frictionless ramp, before hitting a spring of spring constant k = 300 n/m placed on a horizontal surface. when the block is at the height of 1.5m above the ground, its velocity is 2m/s. what is the maximum compression of the spring? take g=9.8 m/s^2.

Maximum spring compression is 0.21 m

Solution:

As per the question:

Mass of the block, M = 0.4 kg

Spring constant, k = 300 N/m

Height of the block, h = 1.5 m

Velocity of the block, v = 2 m/s

Now,

By conservation of energy:

                  (1)

where

PE = Potential energy = Mgh

KE = Kinetic Energy =

= energy in the spring

Now, using eqn (1) to calculate maximum compression 'x' of the spring:

x = 0.21 m

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answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.