Question

Meghan and Rachel each apply the same amount of force to two different bowling balls. Meghan's ball, (ball A), weighs 3 pounds, and Rachel's ball, (ball B) weighs 1 pound. Megan's ball is three times as heavy as Rachel's. How will the speed of the balls compare?

Answer 1

A) Rachel's ball will have three times the speed of Meghan's ball.

Answer 2

Answer: The speed of Rachel's all will be more than the speed of the Meghan's ball.

Explanation: Force is defined as the rate of change of momentum of an object over time.

Mathematically,

`F=(m\Delta v)/(t)`

where, F = force exerted by the object

`\Delta v` = change in velocity of the object

m = Mass of the object

t = Time taken

We are given that:

Force exerted by both Rachel and Meghan are same.

Let the mass of Rachel's ball be x.

Mass of Rachel's ball = x

Mass of Meghan's ball = 3x

Relation between mass and speed (velocity) is written by:

`\Delta v=(Ft)/(m)`

The object having higher mass will have the lower velocity or speed.

Hence, the speed of Rachel's ball is more than the Meghan's ball because the mass of Rachel's ball is lower than the Meghan's ball.