3. 4 points SerCP11 5.P.018. My Notes Ask Your Teach A man pushing a crate of ma

Question

3. 4 points SerCP11 5.P.018. My Notes Ask Your Teach A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.880 m/s encounters a rough horizontal surface of length f = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.351 and he exerts a constant horizontal force of 283 N on the crate ni (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface. magnitude direction Select (b) Find the net work done on the crate while it is on the rough surface. (c) Find the speed of the crate when it reaches the end of the rough surface. m/s Need Help? Read ItWatch e

Explanation / Answer

(a) By F(net) = F(applied) - F(friction)

=>F(n) = 283 - µ x mg

=>F(n) = 283 - 0.351 x 92 x 9.8

=>F(n) = - 33.46 Newton [-ve indicating that it is a retarding force i.e. opposite the direction of motion]

Magnitude: 33.46N

direction: left

(b) W = F(n) x s

=>W = 33.46 x 0.65 = 21.75 J

(c) By F = ma

=>33.46 = 92 x a

=>a = 0.364 m/s^2

By v^2 = u^2 - 2as

=>v^2 = (0.880)^2 - 2 x 0.364 x 0.65

=>v = 0.3016

=>v = 0.55 m/s

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