A 103.8kg wood block is resting on a wooden floor. You can push a maximum of 1061.5 N on the block without moving it. If you continue to exert this push force once the block starts to move, find the magnitude of its acceleration (in m/s2) ? (Coefficent of Kinetic friction between wood blocks is 0.3)

Question

Nathalia Fisher

Physics

20 May, 06:01

A 103.8kg wood block is resting on a wooden floor. You can push a maximum of 1061.5 N on the block without moving it. If you continue to exert this push force once the block starts to move, find the magnitude of its acceleration (in m/s2) ? (Coefficent of Kinetic friction between wood blocks is 0.3)

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Answers (1)

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Averie · Answer 1

7.286 m/s²

Explanation:

Let's say P is the applied force and F is the force of friction. Remember that friction is the product of normal force and the coefficient of friction (F = Nμ).

Apply Newton's second law in the y direction:

∑F = ma

N - mg = 0

N = mg

Apply Newton's second law in the x direction:

∑F = ma

P - F = ma

P - Nμ = ma

Substitute and solve for a:

P - mgμ = ma

a = (P - mgμ) / m

Given P = 1061.5 N, m = 103.8 kg, g = 9.8 m/s², and μ = 0.3:

a = (1061.5 - 103.8*9.8*0.3) / 103.8

a = 7.286 m/s²