Question

Suppose you roll a bowling ball (m1)down the alley, and the ball strikes the pin (m2) sending it flying. The mass of the bowling ball is greater than the mass of the

pin. Predict the magnitude of the forces between the two objects during the collision

A)The bowling ballexerts a larger force on the pin because it was moving at
a high speed,

B)The pin exerts a larger force on the bowling ball

C)The bowing ball exerts a larger force on the bin because it is more massive

D)Both objects blert the same magnitude of force on each other due to Newtonsard Law

Answer 1

The correct option is;

D) Both objects exert the same magnitude of force on each other due to Newton's 3rd law

Step-by-step explanation:

Newton's third law of motion states that for every action there is an equal and opposite reaction

Since the bowling ball is rolled down the alley while the pin is displaced at such a speed that it flew, we have that the velocity of the rolling ball, v₁ is less than the velocity of the flying pin v₂

Therefore, whereby force = Rate of change of momentum produced we have;

The change of momentum of the ball = m₁×(v₁ - v₁ₐ)

The change of momentum of the pin = m₂×(0 - v₂)

Hence since the pin change in movement (flight) was more suddenly than the slowing down of the ball, the action of the rolling ball is equal to the reaction of the flying pin.