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PhysicsQ&A LibraryA 2.30 kg block slides down a frictionless incline from rest at the top (length = 2.40m, angle = 55°) and has a measured speed of 6.28 m/s at the bottom. The block is then slid down a rough incline of same length and angle and found to achieve a speed of 4.90 m/s. What is the best answer for the average frictional force experienced by the block while sliding down the second incline?Question

Asked Oct 6, 2019

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A 2.30 kg block slides down a frictionless incline from rest at the top (length = 2.40m, angle = 55°) and has a measured speed of 6.28 m/s at the bottom. The block is then slid down a rough incline of same length and angle and found to achieve a speed of 4.90 m/s. What is the best answer for the average frictional force experienced by the block while sliding down the second incline?

Step 1

**Given information:**

Mass of the block (m) = 2.30 kg

Length of the incline (l) = 2.40 m

Angle of inclination (θ) = 55^{0}

Initial velocity of block (u) = 0 m/s

Final velocity of block when the block is incline frictionless (v) = 6.28 m/s

Final velocity of block when the block is incline friction (v_{f}) = 4.90 m/s

Step 2

Free body diagram:

Step 3

We can find the acceleration of the block as the final velocity ...

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