A man having a mass of 55 kg is riding a bike weighing 30 kg. There is a box with a mass of 15 kg kept on the rear seat of the bike. The man is initially riding the bike at 9.0 m/s and suddenly increases the speed to 12.0 m/s. Due to this, the box falls behind the bike. Determine the velocity of the falling box immediately after it falls off of the bike.

The disintegration of carbon-14 into nitrogen-14 is an example of beta minus decay. Consider the carbon-14 decay:  where  is an antineutrino. Initially, carbon-14 is at rest. The nitrogen-14 and electron speeds in the laboratory frame are measured to be 4.00 × 10² m/s, and 1.00 × 10⁷ m/s respectively. Nitrogen-14 and the electron move in opposite directions.  The mass of nitrogen-14 is 2.32 × 10^-26 kg and the mass of the electron is 9.11 × 10^-31 kg. Calculate the momentum of the produced antineutrino.

A missile initially at rest, having a mass of 5M, explodes into three pieces. One of the pieces of mass 2M moves with a velocity of 3vî while another of mass M flies off with a velocity of vĵ. Find the velocity of the remaining piece.

An experiment is being conducted inside a vacuum chamber. A particle of mass M moving at a speed of V is made to collide elastically with a stationary particle of mass 3M within the chamber. After the collision, the lighter particle gets scattered at a 90° angle. Determine the angle at which the heavier particle recoils following the collision.

Jay with a mass of 60.0 kg skates at 10.0 m/s due north on a frozen horizontal surface towards a crossroad. Kay of mass 51.0 kg who is crossing through the crossroad gets shocked and stops upon spotting Jay. Jay collides with Kay. Jay travels at 6.2 m/s directed at 28.0° east of north after the collision. Determine the magnitude and direction of Kay's velocity following the collision. You may ignore friction.

Bumper technology in vehicles is designed to absorb and store kinetic energy in case of a collision, then release it to the vehicles as they separate. The efficiency of the technology decreases as collision speed increases. During a design analysis by a manufacturer, a car of mass 900 kg is headed east at 1.40 m/s when it collides with a car of mass 650 kg headed west at 1.20 m/s. Analysis of the after-collision period shows that the 900 kg Car is moving at 0.180 m/s in its original direction. What is the change in the overall kinetic energy of the two cars for the collision? Ignore friction.

Kids find it fun playing on frozen (frictionless) lakes. A 16.8 kg kid is sliding at 3.60 m/s left towards a playing partner of mass 14.5 kg who is sliding to the right at 3.20 m/s. They hold onto each other when they meet during the collision. Determine the loss in mechanical energy during the interaction.

A bus of mass M traveling at a velocity of + V Î crashes into a truck of mass 4M traveling at a velocity of + V/4 Î and sticks to it. Just after, the bus and the truck collide with a car of mass M/2 waiting at a red light. Find the velocity of the bus, truck, and car after the collision if they stick together.

A container ship weighing around 20,000 kg was moving at a speed of 3.0 m/s when suddenly an extra load weighing around 5000 kg was added to it abruptly. What would be the speed of the ship after loading?

Scientists have calculated that for a particular distant massive solid planet, every couple of million years, a 1.0-km-diameter planetoid crashes into it. One such planetoid having a density of 4300 kg per cubic meter, is moving toward the planet at a speed of 25 km/s. Assuming the planetoid to be spherical, evaluate the destructive energy that will be released after it collides with the planet.

Calculate the average force exerted on the ball by the racket during contact when a 0.146-kg tennis ball, served horizontally at 33.0 m/s, hits the racket and is lobbed straight up to a height of 31.6 m, with the contact duration between the racket and the ball assumed to be 2.6 ms.