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Momentum
Excel in math and science
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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 \(g=10\text{ m/s}^2.\)
Excel in math and science
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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 \(g=10\text{ m/s}^2.\)
Excel in math and science
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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?
Excel in math and science
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A \(1\text{ kg}\) ball is rolling on the floor at \(4\text{ m/s}.\) Find the momentum of the ball.
Excel in math and science
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Our wiki is made for math and science
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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 \(g=10\text{ m/s}^2.\)