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A father fashions a swing for his children out of a long rope that he fastens to

ID: 3307488 • Letter: A

Question

A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall tree. As one of the children swings from this rope that is 6.10 m long, his tangential speed at the bottom of the swing is 9.70 m/s. (a) What is the centripetal acceleration of the child at the bottom of the swing? m/s2 (b) What provides the centripetal force that keeps the child moving in an arc? 0 the weight of the child O the tension in the rope O the height of the tree O gravitational acceleration

Explanation / Answer

Centripetal acceleration = v2/l = 9.702/6.10

=15.42m/ss2

The force acting towards the point of suspension of rope will give centripetal force i.e tension in rope.

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