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12 problems tagged with Theorem of Momentum in Momentum
P0564
Beginner Mechanics › MomentumImpulse 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.
P0565
Beginner Mechanics › MomentumVertical 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.
P0566
Beginner Mechanics › MomentumFinal 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.
P0567
Beginner Mechanics › MomentumAverage 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.
P0568
Beginner Mechanics › MomentumProjectile 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.
- Use the impulse-momentum theorem to find the time the bullet is in the air.
- Draw a vector diagram showing the relationship between the impulse of the net external force and the change in momentum.
P0569
Beginner Mechanics › MomentumSoftball 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.
- Find the magnitude and direction of the impulse delivered by the bat.
- If the ball-bat contact time is 0.02 s, find the magnitude of the average force exerted by the bat.
- How many times the softball's weight is this force?
P0580
Beginner Mechanics › MomentumMomentum 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.
P0581
Beginner Mechanics › MomentumTruck'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.
- Find the change in the truck's kinetic energy.
- Find the magnitude and direction of the change in the truck's momentum.
P0582
Beginner Mechanics › MomentumBall 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.
P0602
Intermediate Mechanics › MomentumImpulse 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.
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