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A brave but inadequate rugby player is being pushed backward by an opposing player who is exerting a force of 880 N on him. The mass of the losing player plus equipment is 86 kg, and he is accelerating at 2.6 m/s2 backward. What is the magnitude of the force, in newtons, that the winning player exerts on the ground to move forward if his mass plus equipment is 118 kg? Assume the second player has the same acceleration as the first.

Question

 A brave but inadequate rugby player is being pushed backward by an opposing player who is exerting a force of 880 N on him. The mass of the losing player plus equipment is 86 kg, and he is accelerating at 2.6 m/s2 backward.

 What is the magnitude of the force, in newtons, that the winning player exerts on the ground to move forward if his mass plus equipment is 118 kg? Assume the second player has the same acceleration as the first.

check_circleAnswer
Step 1

Free body diagram:

a
F
mg
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Image Transcriptionclose

a F mg

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Step 2

Given,

Force F 880 N
Acceleration a 2.6 m/s
Mass m 86 kg
Mass of equipment M = 118 kg
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Force F 880 N Acceleration a 2.6 m/s Mass m 86 kg Mass of equipment M = 118 kg

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Step 3

Net acting f...

FaF-f
net
ma F-f
86x2.6 880-f
f 656.4 N
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FaF-f net ma F-f 86x2.6 880-f f 656.4 N

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