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Attempts 127

As a batter hits a ball, the acceleration of the bat is _______ the acceleration of the ball.

  1. A
    equal to
  2. B
    less than
  3. C
    greater than
  4. D
    the inverse of

Topic Flashcards

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Question

During the collision, how do the forces the bat and ball exert on each other compare according to Newton's Third Law?

Answer

They are equal in magnitude and opposite in direction. (F_bat on ball = -F_ball on bat).

Question

Given their different masses, how do the accelerations of the bat and ball compare during the hit? Use Newton's Second Law (a = F/m) in your reasoning.

Answer

The accelerations are not equal. The forces are equal, but acceleration is inversely proportional to mass (a = F/m). Since the bat's mass is much larger, its acceleration is much smaller than the ball's acceleration.

Question

What is the more accurate and complete answer to the original question: The acceleration of the bat is ______ the acceleration of the ball. Why?

Answer

Less than. While the forces are equal, acceleration (a = F/m) is different because the masses are different. The bat, being heavier, has a smaller acceleration.

Question

What quantity is conserved during the bat-ball collision (assuming an isolated system)? Write its conservation equation.

Answer

Momentum is conserved. The equation is: (m_bat * v_bat_initial) + (m_ball * v_ball_initial) = (m_bat * v_bat_final) + (m_ball * v_ball_final).

Question

If the bat had the same mass as the ball, how would their accelerations compare during the collision?

Answer

They would be equal in magnitude (but opposite in direction). With equal forces (Newton's 3rd Law) and equal masses (a = F/m), the magnitudes of their accelerations would be the same.

Mini Quiz

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During the contact, is the force the bat exerts on the ball greater than the force the ball exerts on the bat?
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