The same amount of force is applied to bowling balls one of the balls Waze 8 pounds and the other weighs 13 pounds which bowl will have a greater acceleration

Respuesta :

Answer:

The bowling ball with mass 8 pounds has greater acceleration.

Explanation:

The acceleration on the objects is equal to the quotient of the force applied on it and its mass. From Newton's second law of motion, we have;

F = ma

where F is the force on the object, m is its mass and a is its acceleration.

⇒ a = [tex]\frac{F}{m}[/tex]

Let us assume that a force of 50 N was applied on the two bowling balls.

Thus;

mass of the first bowling ball = 8 pounds = 3.62874 kg

So that,

50 = 3.62874 x a

a = [tex]\frac{50}{3.62874}[/tex]

  = 13.779

The acceleration of the first ball is 13.78 m/[tex]s^{2}[/tex].

For the second ball of mass = 13 pounds = 5.8967 kg

So that,

50 = 5.8967 x a

a = [tex]\frac{50}{5.8967}[/tex]

  = 8.4793

The acceleration of the second ball is 8.48 m/[tex]s^{2}[/tex].

Therefore, the bowling ball with mass 8 pounds has greater acceleration.