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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.

Problem solving with momentum - 2d

Water with density \( 1.00 \times 10^3 \text{ kg/m}^3 \) streams from a hose \(3.00\text{ cm}\) in diameter, in a horizontal jet at a constant rate of \( 19.0 \text{ m/s}. \) It horizontally strikes a nearby vertical sponge-like water-absorbing wall, thereupon transferring all its kinetic energy to the wall so there is no splashing. What is the magnitude of the force exerted by the water on the wall?

A toy that is initially at rest consists of three parts that are held together by spring-loaded clips. Suddenly the toy is broken into pieces because of loosened clips, and two of the pieces which have equal masses of \( 26.0 \text{ g} \) travel with velocities of \( 4.0 \text{ cm/s}, \) one to the south and the other to the west. If the third piece travels with a velocity of \( 2.0 \sqrt{2} \text{ cm/s} \) due northeast, what is the mass of the third piece?

A projectile proton with a speed of \( 240 \text{ m/s} \) collides elastically with a target proton initially at rest. The two protons then move along perpendicular paths, with the projectile path deviating by \( 60 ^\circ \) from its original direction. After the collision, what is the approximate speed of the target proton?

A \( 1560 \text{ kg} \) car heading west at \( 12 \text{ m/s} \) turns right at a corner and travels north at \( 9 \text{ m/s}. \) Find the magnitude of the change in the car's momentum.

A \( 2300 \text{ kg} \) cannon mounted on a railway car fires a \( 46 \text{ kg} \) shell at a velocity of \( 650 \text{ m/s} \) at an angle of \( 60^{\circ} \) above the horizontal. What is the magnitude of recoil velocity of the cannon?

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