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When you lift a bowling ball with a force of 71.6 N, the ball accelerates upward with an acceleration a. If you lift with a force of 82.3 N,
Question
When you lift a bowling ball with a force of 71.6 N, the ball accelerates upward with an acceleration a. If you lift with a force of 82.3 N, the ball’s acceleration is 1.91a. Calculate the weight of the bowling ball.
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Physics
1 year
2021-09-01T22:39:10+00:00
2021-09-01T22:39:10+00:00 1 Answers
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Answer:
59.84 N
Explanation:
The net force is responsible for the upward acceleration of the bowling ball.
The net force acting on a body accelerates the body in the same direction as that in which the resultant is applied.
Net force = ma
ma = F – mg
In the first case,
F = 71.6 N, a = a m/s²
ma = 71.6 – mg (eqn 1)
In the second case,
F = 82.3 N, a = 1.91a m/s²
m(1.91a) = 82.3 – mg
1.91 ma = 82.3 – mg (eqn 2)
Substitute for ma in (eqn 2)
1.91 (71.6 – mg) = 82.3 – mg
136.756 – 1.91 mg = 82.3 – mg
136.756 – 82.3 = 1.91 mg – mg
0.91 mg = 54.456
mg = 54.456/0.91
mg = 59.84 N
Hence, the weight of the bowling ball = 59.84 N
Hope this Helps!!!