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12 problems tagged with Theorem of Momentum in Momentum

Mechanics › Momentum
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Mechanics › Momentum
Mechanics › Momentum
Mechanics › Momentum
Mechanics › Momentum
Mechanics › Momentum
Mechanics › Momentum
Mechanics › Momentum

P0564

Beginner Mechanics › Momentum

Impulse on Ball in Circular Motion

A small ball with a mass of 50 g undergoes uniform circular motion at a speed of 20 m/s.

What is the impulse given to it by the centripetal force over a quarter of a period?
Theorem of Momentum

P0565

Beginner Mechanics › Momentum

Vertical Throw Time of Flight

A small ball is thrown vertically upward with a speed of 10 m/s. It lands with a speed of 20 m/s. Air resistance is negligible.

Use the impulse-momentum theorem to find the time the ball is in the air.
Theorem of Momentum

P0566

Beginner Mechanics › Momentum

Final Speed of Horizontal Projectile

A small ball is thrown horizontally with a speed of 10 m/s. It lands after 2 s. Air resistance is negligible.

Use the impulse-momentum theorem to find the speed of the ball upon landing.
Theorem of Momentum

P0567

Beginner Mechanics › Momentum

Average Impact Force of Bouncing Ball

A 20 g ball falls vertically, hitting the horizontal ground at 5 m/s. It bounces back with a speed of 3 m/s. The contact time with the ground is 0.02 s. Air resistance is negligible.

Find the average impact force exerted by the ball on the ground.
Theorem of Momentum

P0568

Beginner Mechanics › Momentum

Projectile Motion Time of Flight

A bullet is fired from horizontal ground with a speed of 100 m/s at an angle of 60° above the horizontal. Air resistance is negligible.

  1. Use the impulse-momentum theorem to find the time the bullet is in the air.
  2. Draw a vector diagram showing the relationship between the impulse of the net external force and the change in momentum.
Theorem of Momentum

P0569

Beginner Mechanics › Momentum

Softball Hit by a Bat

A 0.14 kg softball is pitched horizontally at 50 m/s. It is hit by a bat and moves back at a speed of 80 m/s at an angle of 45° above the horizontal.

  1. Find the magnitude and direction of the impulse delivered by the bat.
  2. If the ball-bat contact time is 0.02 s, find the magnitude of the average force exerted by the bat.
  3. How many times the softball's weight is this force?
Theorem of Momentum

P0580

Beginner Mechanics › Momentum

Momentum Ratio with Equal Kinetic Energy

Two objects, A and B, have equal kinetic energy. The mass of object A is 4 times the mass of object B.

What is the ratio of the momentum of A to the momentum of B ($p_A : p_B$)?
Theorem of Momentum

P0581

Beginner Mechanics › Momentum

Truck's Change in Energy and Momentum

A truck with a mass of 2000 kg first travels north at a speed of 12 m/s. It then turns to travel east and accelerates to 16 m/s.

  1. Find the change in the truck's kinetic energy.
  2. Find the magnitude and direction of the change in the truck's momentum.
Theorem of Momentum

P0582

Beginner Mechanics › Momentum

Ball Collision Momentum Change

As shown in Figure, a ball with mass $m=1$ kg strikes a horizontal steel plate at a speed of $v=10$ m/s and an angle of $60^\circ$ with the horizontal. It rebounds with the same speed and angle.

Find the magnitude and direction of the change in the ball's momentum.
Theorem of Momentum

P0602

Intermediate Mechanics › Momentum

Impulse on an Oscillating Mass

A spring is fixed at its upper end. An object A of mass m is attached to its lower end and hangs at equilibrium at position P. Another object B, also of mass m, is then hung from A by a thin string. After reaching a new equilibrium, the string is cut. Neglect spring mass and air resistance.

If object A has a speed v when it returns to position P, and at the same moment object B has a speed u, what is the magnitude of the impulse from the spring force on object A during this time interval?
Theorem of Momentum

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