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Ayla hangs a 7.5 kg bowling ball from the ceiling by a rope of negligible mass. The rope will break if the tension in the rope exceeds 115 N. What minimum force must Ayla's dog Rufus exert on the bowling
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Ayla hangs a 7.5 kg bowling ball from the ceiling by a rope of negligible mass. The rope will break if the tension in the rope exceeds 115 N. What minimum force must Ayla's dog Rufus exert on the bowling ball to break the rope.

User Taptronic
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1 Answer

4 votes

Answer: >41.5N

Step-by-step explanation:

Mass of bowling ball = 7.5kg

Breaking point of rope = T > 115N

Where T = Tension on the rope

Since the bowling ball is hung by a rope :

Tension (T) = mg = 7.5 kg × 9.8m/s^2 = 73.5kgm/s^2

T = mg + ma

F = ma

T = mg + F

>115 = 73.5 + F

F = 115 - 73.5

F = 41.5N

Force >41.5N

User Tatiane
by
4.8k points
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