A 5.0 kg block is released from rest at the top of a 30° smooth incline that is 8.0 m long. The coefficient of kinetic friction between the block and the incline is 0.20. At the bottom of the incline the block compresses a horizontal spring of unknown force constant k until it momentarily comes to rest after a compression of 0.10 m.

(a) Determine the value of k required for the block to stop after the given compression.
(b) Calculate the average power dissipated by friction during the block's travel down the incline.

Question

A 5.0 kg block is released from rest at the top of a 30° smooth incline that is 8.0 m long. The coefficient of kinetic friction between the block and the incline is 0.20. At the bottom of the incline the block compresses a horizontal spring of unknown force constant k until it momentarily comes to rest after a compression of 0.10 m.

(a) Determine the value of k required for the block to stop after the given compression. 
(b) Calculate the average power dissipated by friction during the block's travel down the incline.

Accepted Answer

k ≈ 2.6×10⁴ N m⁻¹; average frictional power ≈ 30 W

Gce Model Questions Vol1 2022 Physics Question 16

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