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A kid is stationary on a frozen lake when the friction between his shoes and th…

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Wize University Physics Textbook (Master) > Momentum, Impulse and Collisions

Two-Dimensional Linear Momentum Conservation

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A kid is stationary on a frozen lake when the friction between his shoes and the lake could be neglected. He tosses simultaneously a ball with a mass of 2kg toward North at speed of 2m/s and a toy with mess of 1kg toward West at the speed of 5 m/s. What is the speed of the kid after throwing the ball and the toy? (assume the boy weighs 30kg)
More Two-Dimensional Linear Momentum Conservation Questions:
A bowling ball with mass of 1 kg travelling at 0.75 m/s hits a 0.5 kg bowling pin, initially at rest. The bowling pin moves off with a speed of 0.25 m/s at an angle of 35º relative to the initial direction of the bowling ball. What is the final velocity of the bowling ball? (note: you cannot assume kinetic energy is conserved).
Particle m1 with mass of 4×10−254 \times 10^{-25}kg is travelling with a velocity of 5msi^5\frac{m}s\hat i , and collides with particle m2 with mass 6×10−25 kg6\times 10^{-25}~\rm kg which is initially at rest. After the interaction, m1 travels with speed of 5 m/s at an angle of 45 degrees with vector.
What is the total momentum of the system?
What is the vector velocity of m2?
A radioactive atom at rest with a mass of 100×10−27 kg100\times 10^{-27}~kg is decaying to three particles with masses of 25×10−27 kg25\times 10^{-27}~kg , 40×10−27 kg40\times 10^{-27}~kg and 35×10−27 kg35\times 10^{-27}~kg respectively. Assume that all three particles remain in x-y plane. If the first particle is moving in the direction of positive y axis at speed of 20m/s and the second particle moves in the direction of 25 degree clockwise respect to positive x-axis at speed of 15 m/s, what is the angle and speed of the of the third particle?