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Momentum

From classical mechanics to quantum field theory, momentum is the Universe's preferred language to describe motion. Learn here about momentum, its conservation, and how it captures our intuitions.

Momentum of an Object

         

A \(69\text{ kg}\) stuntman jumps out of a window and lands on a trampoline \(5\text{ m}\) below. What is the magnitude of his momentum at the point he hits the trampoline?

Assumptions

  • The air resistance is negligible
  • The gravitational acceleration is \(g=10\text{ m/s}^2.\)

An object of mass \(4\text{ kg}\) is thrown straight upward into the air at a velocity of \(15\text{ m/s}\) from the edge of a cliff. Let \(p_1\) be the momentum of the object \(1\) second after the throw, and \(p_{4}\) the momentum of the object \(4\) seconds after the throw. Then what is \(\displaystyle{\frac{p_{4}}{p_1}}?\)

Assume that gravitational acceleration is \(g=10\text{ m/s}^2.\)

Two objects \(A\) and \(B\) are moving on the ground in the same direction at \(5\text{ m/s}\) and \(2\text{ m/s},\) respectively. Their respective masses are \(3\text{ kg}\) and \(4\text{ kg}.\) Now, they both start to accelerate uniformly at \(-3\text{ m/s}^2\) and \(0.5\text{ m/s}^2,\) respectively, at the same time. Four seconds after that, what is the sum of their linear momenta?

A \(1\text{ kg}\) ball is rolling on the floor at \(4\text{ m/s}.\) Find the momentum of the ball.

An object initially at rest falls freely in an atmosphere free of air resistance. After \(t\) seconds, the kinetic energy of the object is \(x\text{ J}\) and the momentum of the object is \(y\text{ kg}\cdot{m/s}.\) If \(x=y,\) what is the value of \(t?\)

Assume that gravitational acceleration is \(g=10\text{ m/s}^2.\)

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