a) An 11.87 kg block travels on a rough horizontal surface and collides with a s

Question

a) An 11.87 kg block travels on a rough horizontal surface and collides with a spring as shown above. The acceleration of gravity is 9.8 m/s2 . If the coe?cient of kinetic friction between block and surface is 0.196478, ?nd the loss in mechanical energy due to friction while the block is in contact with the spring. Answer in units of J

b)Find the maximum distance the spring is compressed. Answer in units of m

An 11.87 kg block travels on a rough horizontal surface and collides with a spring as shown below. The acceleration of gravity is 9.8 m/s2. The speed of the block just before the collision is 6.66 m/s. As it rebounds to the left with the spring uncompressed, the block travels t 5.7 m/s. If the coefficient of kinetic friction between block and surface is 0.196478, find the loss in mechanical energy due to friction while the block is in contact with the spring. Answer in units of J Find the maximum distance the spring is compressed. Answer in units of m

Explanation / Answer

the loss in mechanical energy due to friction while the block is in contact with the spring=1/2m(v1^2-v2^2)

=1/2*11.87(6.66^2-5.7^2)=70.42J

work done by friction=2meu*g*x

x=70.42/(2*11.87*9.8*0.196478)=1.54m

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