A 46.0 kg crate, starting from rest, is pulled across a floor with a constant ho

Question

A 46.0 kg crate, starting from rest, is pulled across a floor with a constant horizontal force of 245 N . For the first 12.0 m the floor is frictionless, and for the next 12.0 m the coefficient of friction is 0.15.

Part A

What is the final speed of the crate after being pulled these 24.0 m ?

Express your answer using two significant figures.

A 46.0 kg crate, starting from rest, is pulled across a floor with a constant horizontal force of 245 N . For the first 12.0 m the floor is frictionless, and for the next 12.0 m the coefficient of friction is 0.15.

Part A

What is the final speed of the crate after being pulled these 24.0 m ?

Express your answer using two significant figures.

Explanation / Answer

a1 = Fnet/m = 245/46 = 5.33 m/s²
a2 = Fnet/m = (F - µmg)/46 = (245 - 0.15*46*9.8)/46 = 3.856 m/s²

V1² = 2*a1*x1 = 2 * 5.33 * 12.0= 127.92 m²/s²

V2 = [V1² + 2*a2*x2] = [127.92+ 2 * 3.856 * 12.0] = 14.848 m/s

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