Moderate -0.3 This is a straightforward impulse-momentum problem requiring application of Newton's second law and the impulse equation. Students must account for both the change in momentum and the weight during contact, but the calculation is direct with clearly given values and no conceptual subtleties.
1 A small ball of mass 0.25 kg is held above a horizontal floor. The ball is released from rest and hits the floor with a speed of \(5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). It rebounds from the floor with a speed of \(4.2 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
The situation is modelled by assuming that the ball is in contact with the floor for 0.02 s and during this time the normal contact force the floor exerts on the ball is constant.
Determine the magnitude of the normal contact force that the floor exerts on the ball.
1 A small ball of mass 0.25 kg is held above a horizontal floor. The ball is released from rest and hits the floor with a speed of $5 \mathrm {~m} \mathrm {~s} ^ { - 1 }$. It rebounds from the floor with a speed of $4.2 \mathrm {~m} \mathrm {~s} ^ { - 1 }$.
The situation is modelled by assuming that the ball is in contact with the floor for 0.02 s and during this time the normal contact force the floor exerts on the ball is constant.
Determine the magnitude of the normal contact force that the floor exerts on the ball.
\hfill \mbox{\textit{OCR MEI Further Mechanics Major 2021 Q1 [3]}}