Exam 7: Momentum and Collisions

Ballistic pendulum: A bullet (mass m = 100 g)hits a wood block of mass 9.9 kg,handing from two long cords.The bullet has an initial velocity of 500 m/s.The velocity of the bullet/block combination after this totally inelastic collision is then

Rebecca of mass 50 kg and Robert of mass 60 kg are initially at rest on a frictionless frozen lake.Robert throws a book of mass 0.50 kg at Rebecca with 20 m/s relative to the ice.Rebecca catches the book.Assuming the book is traveling horizontally,their final speeds are

A 60-kg man is standing on a 200-kg cart moving to the right at a speed of 5 m/s on frictionless tracks.If the man starts to walk to the left with a speed of 1 m/s relative to the cart,what is the final speed of the man with respect to the tracks?

An egg in a special container together have a mass of 148.0 g.The container is designed such that when dropped it will bring the egg to a stop in 0.200 s when it hits the ground.A force of 4.91 N will break the egg.What is the maximum height from which the egg in its container can be dropped and not break the egg? (in m)

A 60-kg man is standing on a 200-kg cart moving to the right at a speed of 5 m/s on frictionless tracks.If the man starts to walk to the left with a speed of 1 m/s relative to the cart,what is the final speed of the cart?

A child in a sled is moving with a speed of 4.0 m/s across an iced over pond.If the total mass of the sled-child system is 85.0 kg,what magnitude of the average force is required to bring the sled to rest in 10.0 s?

An empty railroad car traveling at a speed of 21 m/s strikes a second car at rest.The second car,being full with passengers,has twice the mass of the first car.If the cars lock together as a result of the collision,their common speed afterward is

A cannon fires a 2-kg exploding projectile across a level field on a windless day.The projectile leaves the cannon at a speed of 30 m/s at an angle of 60 degrees with respect to the horizontal.When the projectile reaches its maximum height,it explodes into two 1-kg pieces.One of the pieces falls straight down.How far away from the cannon does the second piece land?

An inelastic collision takes place between two equal masses of 7 kg.One was at rest and the other moving at 17 m/s before and 5 m/s after.How much energy was lost in the collision?

A 1900-kg car hits a parked 2200-kg car at 32 m/s and sticks to it.What is the velocity of the two cars after the collision?

A tennis ball (m = 57 g)hits a wall at an angle of 25 degrees with respect to the normal line (perpendicular to the wall).The initial speed is 12 m/s and it rebounds with the same speed.Find the magnitude of the impulse delivered by the wall.

Two billiard balls undergo a glancing collision.Before the collision the first ball was travelling east at 2.6 m/s and the second ball was travelling west at 1.2 m/s.If the second ball is deflected by +90 degrees travelling north at 1.47 m/s,what is the speed of the first ball after the collision?

An SUV of mass 2200 kg,moving with a speed of 35 m/s on the highway,passes a car with the mass 1500 kg and a linear momentum equal to that of the SUV.The ratio of the kinetic energy of the SUV relative to that of the car is

Consider two carts,of masses m and 2m,at rest on a frictionless air track.You push the first cart for 3 s and then the other for the same length of time and with the same force.The final speed of the cart with mass 2 m is

I run toward the wall at 5.00 m/sec to the left.My mass is 90.0 kg.I collide with the wall and come to rest in 0.100 sec.What was the average normal force on my body due to the wall?

Two cars approach each other and collide head-on.Car 1 has a mass of 800 kg and a velocity of -20 m/s.Car 2 has a mass of 1000 kg and a velocity of +16 m/s.They have an inelastic collision,but don't stick to each other.After the collision,car 1 has a velocity of 5 m/s.What is the fraction of kinetic energy lost?

A golf ball bounces to a height of 7.60 m after its second bounce after being dropped onto the sidewalk from a 20.5-m high pedestrian overpass.How high does the golf ball bounce after its first collision with the sidewalk?

A 1.50-kg ball makes an elastic head-on collision with a 1.00-kg ball.Before the collision,the speed of the 1.50-kg ball is 1.0 m/s,and the speed of the 1.00-kg ball is zero.The speed of the 1.00-kg ball after the collision is

An automatic weapon can fire 55 bullets per minute at V = 270 m/s.If each bullet has a mass M = 30 g,what is the average force in N on the shoulder of the Marine shooting the weapon?

An SUV of mass 2200 kg,moving with a speed of 35 m/s on the highway,passes a car with the mass 1500 kg and a linear momentum equal to that of the SUV.The ratio of the kinetic energy of the car relative to that of the SUV is