A cart with mass 470 g moving on a frictionless linear air track at an initial speed of 1.3 m/s undergoes an elastic collision with an initially stationary cart of unknown mass. After the collision, the first cart continues in its original direction at 0.88 m/s. (a) What is the mass of the second cart? (b) What is its speed after impact? (c) What is the speed of the two-cart center of mass? (a) Number i Units (b), Number i Units (c) Number i Units

Sally finds herself stranded on a frozen pond so slippery that she can't stand up or walk on it. To save herself, she throws one of her heavy boots horizontally, directly away from the closest shore. Sally's mass is 64.0 kg, the boot's mass is 5.00 kg, and Sally throws the boot with speed equal to 26.5 m/s. For all parts, assume the ice is frictionless and Ihat the positive direction is towards the shore. What is Sally's speed vs immediately after throwing the boot? -2.07 m/s Us = What is the displacement Aro of the center of mass of the Sally-boot system, relative to where she threw the boot, after AF = 2.75 10.0 s? How much time i does it take Sally to reach the shore, a distance of 30.0 m away from where she threw the boot? 14,49

A body of mass 4.7 kg makes an elastic collision with another body at rest and continues to move in the original direction but with 1/4 of its original speed. (a) What is the mass of the other body? (b) What is the speed of the two-body center of mass if the initial speed of the 4.7 kg body was 4.9 m/s? (a) Number i Units (b) Number i Units

During a pool game, the cue ball, which has an initial speed of 5.0 m/s, makes an elastic collision with the eight ball, which is initially at rest. After the collision, the eight ball moves at an angle of 300 to the right of the original direction of the cue ball. Assume that the balls have equal masses. (a) Find the direction of motion of the cue ball immediately after the collision. (b) Find the speed of each ball immediately after the collision.

A tennis ball of mass 57.0 g is held just above a basketball of mass 637 g. With their centers vertically aligned, both balls are released from rest at the same time, to fall through a distance of 1.30 m, as shown in the figure below. Į (a) Find the magnitude of the downward velocity with which the basketball reaches the ground. 5.05 m/s (b) Assume that an elastic collision with the ground instantaneously reverses the velocity of the basketball while the tennis ball is still moving down. Next, the two balls meet in an elastic collision. To what height does the tennis ball rebound? 14.23 Find the relative velocities of the basketball and the tennis ball just before collision and then apply the appropriate conservation principles and rules for perfectly elastic collisions to find the tennis ball velocity and the height that the basketball reaches. m Need Help? Read It Master It

A 45.0-kg skater is traveling due east at a speed of 2.50 m/s. A 70.0-kg skater is moving due south at a speed of 7.40 m/s. They collide and hold on to each other after the collision, managing to move off at an angle south of east, with a speed of vf. Find (a) the angle and (b) the speed vf, assuming that friction can be ignored. (a) Number i (b) Number i Units Units <

A 1.90-kg particle has a velocity (2.20 1 - 4.00 ĵ) m/s, and a 4.00-kg particle has a velocity (1.00 +8.00 ĵ) m/s. (a) Find the velocity of the center of mass. Î + m/s (b) Find the total momentum of the system. Î + J kg m/s

Two objects, both with a mass of 1.92 kg are sliding across a horizontal, frictionless surface toward each other. If mass 1 has an initial velocity of 3.79 m/s i and mass 2 has an initial velocity of -2.39 m/s i, what is the change in total kinetic energy if they undergo a perfectly inelastic collision? Assume that total momentum is conserved.

A 0.0210 kg bullet moving horizontally at 450 m/s embeds itself into an initially stationary 0.500 kg block. (a) What is their velocity (in m/s) just after the collision? m/s (b) The bullet-embedded block slides 8.0 m on a horizontal surface with a 0.30 kinetic coefficient of friction. Now what is its velocity (in m/s)? m/s (c) The bullet-embedded block now strikes and sticks to a stationary 2.00 kg block. How far (in m) does this combination travel before stopping? m

A cue ball traveling at 6.57 m/s makes a glancing, elastic collision with a target ball of equal mass that is initially at rest. The cue ball is deflected so that it makes an angle of 30.0° with its original direction of travel. (a) Find the angle between the velocity vectors of the two balls after the collision.   (b) Find the speed of each ball after the collision.