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Learning Introductory Physics with Activities

Section 9.5 Practice - Momentum

Subsection Numerical Practice

Calculation 9.5.1. Impulse.

If an object’s mass and velocity are both constant, the impulse acting on it...
  1. must be constant and nonzero.
  2. must be zero.
  3. must be increasing.
  4. must be decreasing.

Calculation 9.5.2. Crumple zone.

Modern cars have parts that are purposely designed to crumple or collapse in the event of an accident. What is the advantage of this?
  1. It reduces injury to the passengers by increasing the time of impact.
  2. It reduces injury to the passengers by decreasing the time of impact.
  3. It reduces injury to the passengers by increasing the change in momentum.
  4. It reduces injury to the passengers by decreasing the change in momentum.

Calculation 9.5.3. Soccer Player I.

A \(70 \mathrm{~kg}\) soccer player, running at \(10 \mathrm{~m/s}\text{,}\) kicks a \(0.4 \mathrm{~kg}\) ball, which then travels at \(50 \mathrm{~m/s}\text{.}\) What is the magnitude of the player’s linear momentum? What is the magnitude of the ball’s linear momentum?
Answer 1.
\(700 \mathrm{~kg m/s}\)
Answer 2.
\(20 \mathrm{~kg m/s}\)

Calculation 9.5.4. Soccer Player II.

The ball from the previous problem is then kicked back towards the player, so that it is now traveling in the opposite direction with the same speed. Has the linear momentum of the ball changed? When the ball was kicked back towards the player, if the foot was in contact with the ball for \(0.22 \mathrm{~s}\text{,}\) what was the magnitude of the impulse that acted on the ball?
Answer 1.
Yes, the same mass but a different velocity means a different linear momentum.
Answer 2.
\(40 \mathrm{~kg m/s}\)

Calculation 9.5.5. Pushing a car.

A force \(F\) pushes a car with a small mass \(m\text{.}\) Another, identical force \(F\) pushes a truck with a bigger mass \(M\text{.}\) The car and truck are both pushed for the same amount of time. Is the car or the truck going faster at the end of the time?
Answer.
The car.

A*R*C*S 9.5.6. Ball of Clay.

A \(50 \mathrm{~g}\) ball of clay traveling at speed \(v_0\) hits and sticks to a \(1.0 \mathrm{~kg}\) brick sitting at rest on a frictionless surface. What is the speed of the brick after the collision?

References References

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Numerical practice activities provided by .