A family is skating. The father (70 kg) skates at 7.0 m/s and collides and sticks to the mother (65 kg), who was initially moving at 3.9 m/s and at 45° with respect to the father's velocity. The pair then collides with their daughter (30 kg), who was stationary, and the three slide off together. What is their final velocity? (Enter the magnitude in m/s and the direction in degrees with respect to the father's initial velocity.) magnitude direction m/s with respect to the father's initial velocity

A rock (rock 1) is flying in the sky towards another rock, rock 2. Rock 1 has a mass of 60 kg, and Rock 2 has a mass of 10 kg. Rock 1 is in the sky with a speed of 25 m/s towards Rock 2, and rock 2 is movingtowards Rock 1 in the opposite direction with a speed of 35 m/s. If the two rocks stick together, what is their final velocity? Ignore air resistance and gravity. Is there a change in the kinetic energy of the system? If so, what is it?

A 1.5x105 kg barge is floating downriver in a fog with a velocity of i = m/s when it collides with a second barge with a mass of 3.0x105 kg heading across the river with a velocity of i = m/s. Immediately after impact, the second barge is headed 20° downriver with a speed of 4.5 m/s. Assume the current is negligible in this part of the river. a. What is the velocity of the second barge immediately after impact (in vector form)? b. Use conservation of momentum to find the velocity of the first barge immediately after impact (in vector form)? c. Was the collision elastic? If not, what was the change in kinetic energy? 20 Downriver

Hunter aims his gun vertically and shoots a 465 g game, which is positioned, on a telephone pole. The bullet has a mass of 60 g and is traveling at a velocity of 450 m/s upwards just before it hits the target. The bullet passes through the target, emerging with a velocity of 295 m/s upwards. How high does the target rise after being hit by the bullet?

4.600 Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide with a glancing blow. Asteroid A, which was initially traveling at 40.0 m/s, is deflected 30.0° from its original direction, while asteroid B, which was initially at rest, travels at 45.0° to the original direction of A. (a) Find the speed of each asteroid after the collision. (b) What fraction of the original kinetic energy of asteroid A dissipates during this collision? A 40.0 m/s A B 30.0° 45.0⁰

A freight train is being assembled in a switching yard, with two boxcars. Car 1 has a mass of m1= 61x10^3 kg and moves at a velocity of Vo1= +1 m/s. Car 2, with a mass of m2= 92x10^3 kg and a velocity 0f Vo2= +1 m/s, overtakes car ! and couples to it. Neglecting friction, find the common velocity (m/s) of the cars after they become coupled. Express in 3 decimal places.

The figure shows two 21.6 kg ice sleds that are placed a short distance apart, one directly behind the other. A 3.99 kg cat initially standing on one sled jumps to the other one and then back to the first. Both jumps are made at a speed of 3.07 m/s relative to the ice. What are the final speeds of (a) the first sled and (b) the other sled? (a) Number (b) Number i Units Units SD

Question 6.1a: A toy car having mass m = 1.05 kg collides inelastically with a toy train of mass M = 3.60 kg. Before the collision, the toy train is moving in the positive x-direction with a velocity of V, = 2.20 m/s and the toy car is also moving in the positive x-direction with a velocity of v, = 4.60 m/s. Immediately after the collision, the toy car is observed moving in the positive x-direction with a velocity of 2.15 m/s. (a) Determine V, the final velocity of the toy train. m/s (b) Determine the change AKE in the total kinetic energy. Assume friction and the rotation of the wheels are not important so that they do not affect AKE.

A baseball player pitches a fastball toward home plate at a speed of 41.0 m/s. The batter swings, connects with the ball of mass 290 g, and hits it so that the ball leaves the bat with a speed of 37.0 m/s. Assume that the ball is moving horizontally just before and just after the collision with the bat. If the bat and ball are in contact for 3.00 ms, what is the magnitude of the average force exerted on the ball by the bat? answer in kn

A 28-g bullet moving horizontally strikes and remains in a 2.6-kg block initially at rest on the edge of a table. The block, which is initially 88 cm above the floor, strikes the floor a horizontal distance of 113 cm from its initial position. What was the initial speed of the bullet?