Momentum 2D - Problem Solving


Water with density 1.00×103 kg/m3 1.00 \times 10^3 \text{ kg/m}^3 streams from a hose 3.00 cm3.00\text{ cm} in diameter, in a horizontal jet at a constant rate of 19.0 m/s. 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 g 26.0 \text{ g} travel with velocities of 4.0 cm/s, 4.0 \text{ cm/s}, one to the south and the other to the west. If the third piece travels with a velocity of 2.02 cm/s 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 m/s 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 60 ^\circ from its original direction. After the collision, what is the approximate speed of the target proton?

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

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

Details: ignore the effects of friction.


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