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Jacob and Matthew are pulling a 20 kg box filled with chocolate along the ground, while Savannah is trying to pull it back in the other direction. Jacob is pulling with 50 N, Matthew with 40 N, and Savannah is pulling with 60 N in a negative direction. Draw an FBD; it should have 5 forces on it. Find the net Force. Then calculate the acceleration of the box. Lastly, calculate the acceleration if Mathew decides to run for his life and stop pulling.
Answers
Explanation:
N/B: Please see attached a rough sketch of the free body diagram for your reference.
From the diagram, the weight W is acting downward and the resultant R is in the positive direction
Given data
mass m=20kg
Forces
Jacob is pulling with 50 N,
Matthew with 40 N, and
Savannah is pulling with 60 N in a negative direction
Required
The net force
Net force= 50+40-(60)
=90-60
=30N in the possitive direction(in Jacob and Mathew's direction)
we know that F=ma
a=F/m
a= 30/20
a=1.5m/s^2
if Mathew decides to run for his life and stop pulling the net force will be
Net force=50-60=-10N (in Savannah's direction)
a=F/m
a=10/20
a=0.5m/s^2
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SCIENCE! aaaaand my physics text book
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