Two forces act on a 4.5 kg mass resting on a frictionless surface. What is the magnitude of the horizontal acceleration of the block?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Two forces act on a 4.5 kg mass resting on a frictionless surface. What is the magnitude of the horizontal acceleration of the block?

5.9 N
3.7 N
43°
Transcribed Image Text:5.9 N 3.7 N 43°
Expert Solution
Step 1

Given data

The mass of the block is m = 4.5 kg

The horizontal force applied on the block is Fh = 3.7 N

The magnitude of the force pulled is Fp = 5.9 N

The angle of the pulling force with the horizontal is θ = 43°

 

The expression for the horizontal component of the pulling force is given as:

Fp_h=Fpcosθ

The expression for the acceleration of the block in the horizontal direction is given as:

ma=Fh+Fp_hma=Fh+Fpcosθa=Fh+Fpcosθm

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