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You are standing on a sheet of ice on a skating rink and your mass is 68.00 kg. Your 70.0 kg friend throws you a 0.450 kg ball that is travelling horizontally at 9.00 m/s. (a) If you catch the ball, with what speed do you and the ball move afterward? (b) If the ball hits you and bounces of your chest that it moves 7.50 m/s horizontally in the opposite direction, what is your speed after the collision?


Cars are equipped with flexble bumpers, so that they will bounce off each other during low-speed collisions. In one particular accident, an 1800 kg car traveling at 1.60 m/s to the left collides with a 1300 kg car that is moving at 1.25 m/s to the right. If the lighter car moves at 0.520 m/s to the left just after the collision and ignoring any road friction, (a) what is the speed of the heavier car just after the collision? (b) What is the change in the combined kinetic energy of the two-car system during this collision?

A 65.0 kg astronaut is doing a repair in space on the orbiting space station. The astronaut throws a what 2.50 kg toolbox away from him at 3.50 m/s to the space station. (a) With what speed and in direction will he begin to move? (b) How much kinetic energy does the astronaut create by this maneuver?

An 8.00 kg shell at rest explodes in two fragments, with mass ratio of 3:2. If the lighter fragment


gains 90.0 3 of kinetic energy from the explosion, how much kinetic energy does the heavier fragment gain?

A bat strikes a 0.160 kg baseball. Just before impact, the ball is travelling horizontally to the right at 45.0 m/s, and it leaves the bat traveling to the left at an angle of 36.9 above the horizontal with at speed of 60.0 m/s. If the ball and the bat are in contact for 1.75 ms, (a) find the components of the


impulse of the net force on the ball. (b) What is the magnitude and direction of the average force on the ball?

Two vehicles are approaching an intersection. One is a 2800 kg pick-up traveling at 15.0 m/s from) west to east, and the other is 1750 kg sedan moving north to south at 23.0 m/s. (a) What are the


magnitude of the individual momentum of each vehicle? (b) What is the magnitude and direction of the total momentum of the system? (c) What is their total kinetic energy?

A particle travels so that its acceleration is given by a with rightwards harpoon with barb upwards on top equals 2 e to the power of negative 2 t end exponent space i with hat on top minus 3 cos t space j with hat on top space plus sin 2 t space k with hat on top




A ball is thrown




horizontally with an initial velocity of




30m/s from a height of 2 m. How long will it take to reach the ground? How far will it go?

Consider the following differential dq=nCvdT+nRT/v dv where n and R are constants

a) Is the above dq an exact or inexact(show how you arrived to your conclusion by evaluating the appropriate partial differentials

b)Based on your answer in a) is the thermodynamic quantity q a path or state function?why?


For any thermodynamic equation of the state

"\\delta"H/"\\delta"P)T =V-T("\\delta" V/"\\delta" T)P derive an expression for ("\\delta" H/"\\delta" P) for the van der wall gas (P+an2/V2)(V-nb=nRT)