A 2750 kg cannon is mounted so that it can recoil only in the horizontal direction. (a) Calculate the magnitude of its recoil velocity when it fires a 15.0 kg shell at 480 m/s at an angle of 20.0° above the horizontal. m/s (b) What is the kinetic energy of the cannon? This energy is dissipated as heat in the shock absorbers that stop its recoil. (c) What happens to the vertical component of momentum that is imparted to the cannon when it is fired?

Prof. P's dwarf lime tree is doing well this year and provides those lime slices for his refreshing online lecture glass of water. One of those limes with a mass of 45.2 grams falls vertically from the tree at a height of 1.3 meters and elastically bounces straight up off the greenhouse floor. If that poor lime was in contact with the floor for 0.11 seconds, what was the force on the lime from the floor in Newtons? (assume up is positive) Prof. P. has experimentally determined (because he does that sort of stuff) that a 5N force will bruise a lime and make it nasty for his drink - is this lime OK?

A 480-kg car moving at 16.4 m/s hits from behind a 570-kg car movingat 13.3 m/s in the same direction. If the new speed of the heavier car is 14.0 m/s,(a) what is the speed of the lighter car after the collision, assuming that anyunbalanced forces on the system are negligibly small, and(b) what average power is dissipated during the collision if they collide for 1.4seconds?

I. A lump of clay (m = 3.00 kg) is thrown towards a wall at speed v = 3.00 m/s. The lump sticks to the wall. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision. II. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 3.00 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision. III. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 2.00 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during…

A 2.64 -g bullet moving at 280 m/s enters and stops in an initially stationary 2.10−kg wooden block on a horizontal frictionless surface. (a) What's the speed of the bullet/block combination?(b) What fraction of the bullet's kinetic energy was lost in this perfectly inelastic collision? (c) How much work was done in stopping the bullet? (d) If the bullet penetrated 5.00 cm into the wood, what was the average stopping force?

A 30.00 kg mass falls from a height of 2.000 m. The magnitude of the momentum of the mass just before it hits the ground is

In a system with two moving objects, when a collision occurs between the objects: the total kinetic energy is always conserved. the total momentum is always conserved. neither the kinetic energy nor the momentum is conserved. the total kinetic energy and total momentum are always conserved.

Consider the head-on collision of two identical bowling balls, each with mass 5 kg (see figure). Ball A with velocity v = m/s strikes ball B, which was at rest. Then ball A stops and ball B moves with the same velocity v that ball A had initially. M M В Initially at rest Initial state (before collision) Final state (after collision) M M B Now at rest (a) Choose a system consisting only of ball A. What is the momentum change of the system during the collision? Apsystem = kg • m/s What is the momentum change of the surroundings? Apsurroundings = kg • m/s (b) Choose a system consisting only of ball B. What is the momentum change of the system during the collision? Apsystem = kg · m/s What is the momentum change of the surroundings? Apsurroundings = kg · m/s (c) Choose a system consisting of both balls. What is the momentum change of the system during the collision? APsystem = kg · m/s What is the momentum change of the surroundings? Apsurroundings = kg • m/s

A 0.500 kg block of cheese sliding on a frictionless tabletop collides with and sticks to a 0.200 kg apple. Before the collision the cheese was moving at 1.40 m/s and the apple was at rest. The cheese and apple then slide together off the edge of the table and fall to the floor 0.600 m below. (a) Find the speed of the cheese and apple just after the collision. In this collision, what is conserved: momentum, total mechanical energy, both, or neither? (b) What is the speed of the cheese and apple just before they hit the floor? During the fall from the tabletop to the floor, what is conserved: momentum, total mechanical energy, both, or neither?

A 29-g rifle bullet traveling 190 m/s embeds itself in a 3.6-kg pendulum hanging on a 2.7-m- long string, which makes the pendulum swing upward in an arc. (a) Calculate velocity of block plus bullet after collision. (b) Determine the vertical height, h of the pendulum's maximum displacement. m M VM = 0 M+ m (a) (b)