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Angled Force with Friction

APPH12-CV0YS7

Created for Albert.io. Copyright 2017. All right reserved.

A $70\text{ kg}$ crate is pushed across a rough floor by a $500\text{ N}$ force exerted at $37^{\circ}$ below the horizontal, and the coefficient of kinetic friction between the crate and floor is $0.3$.

Which of the following is closest to the crate's acceleration?

A

$1.4\text{ m/s}^{ 2 }$

B

$2.9\text{ m/s}^{ 2 }$

C

$4.0\text{ m/s}^{ 2 }$

D

$5.4\text{ m/s}^{ 2 }$