Two objects of masses m, = 0.42 kg and m, = 0.90 kg are placed on a horizontal frictionless surface and a compressed spring of force constant k = 270 N/m is placed between them as in figure (a). Neglect the mass of the spring. The spring is not attached to either object and is compressed a distance of 9.2 cm. If the objects are released from rest, find the final velocity of each object as shown in figure (b). (Let the positive direction be to the right. Indicate the direction with the sign of your answer.) V = 2.53 m/s V2 = m/s a my

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A cube M=3.00 kg slides down a frictionless incline as shown in the figure, and elastically strikes another cube m=1.30 kg at the bottom. If the incline is h=35.0 cm high and the table is H=95.0 cm off the floor, where does each cube land? M 35 cm m 95 cm

A bullet of mass 52 grams is fired horizontally into a 5.2 kg wooden block on a horizontalsurface. The coefficient of kinetic friction between the block and the surface is 0.52. Thebullet stops in the block which slides straight ahead for 5.2 meter. At what speed is thebullet fired?(Apply conservation of energy with friction

As shown in the figure below, we have three air carts (labeled #1, #2, and #3) on an air track. The carts are equipped with spring bumpers so that all collisions are elastic. The masses of the carts are m1 = 5m, m2 = 2m, and m3 = m. Initially, cart #1 is given a velocity to the right of magnitude v0 and the other carts are at rest. Determine the final speed of each cart (Indicate the direction with the sign of your answer.) cart1 cart2  cart3 b) determine the ratio of the total kinetic energy before any collision to the total kinetic energy after all collisions  KEi/KEf=

Two objects of masses m, = 0.44 kg and m, = 0.90 kg are placed on a horizontal frictionless surface and a compressed spring of force constant k = 270 N/m is placed between them as in figure (a). Neglect the mass of the spring. The spring is not attached to either object and is compressed a distance of 9.6 cm. If the objects are released from rest, find the final velocity of each object as shown in figure (b). (Let the positive direction be to the right. Indicate the direction with the sign of your answer.) 37983.18 V = The response you submitted has the wrong sign. m/s |-18569.55 V2 = The response you submitted has the wrong sign. m/s a k

Two objects of masses m, - 0.54 kg and m, - 0.98 kg are placed on a horizontal frictionless surface and a compressed spring of force constant.20 m is placed between them as in figure (a). Neglect the mass of the spring. The spring is not attached to either object and is compressed a distance of 9.4 cm. If the objects are released from rest, find the final velocity of each object as shown in figure (b). (Let the positive direction be to the right. Indicate the direction with the sign of your answer.) m/s m/s V2 =

A cart of mass m₁ = 4 kg is on frictionless surface and compressed against an ideal spring with spring constant k = 158 N/m for a distance of x = 1.08 m. After it is released, it hits a second cart of mass m₂ = 9 kg and bounces back while the second car continues traveling onto a ramp where it reaches a height of h₂ = 0.69 m. Find the magnitude of the velocity of the first cart in m/s immediately after hitting the second cart. Use g = 9.8 m/s² and retain your answer to two decimal places. k m1 m2 Im m1 Loo! m2 I h₂

In the "before" part of the figure, car A (mass 1200 kg) is stopped at a traffic light when it is rear-ended by car B (mass 1300 kg). Both cars then slide with locked wheels until the frictional force from the slick road (with a low μk of 0.20) stops them, at distances då = 7.9 m and dB = 6.2 m. What are the speeds of (a) car A and (b) car B at the start of the sliding, just after the collision? (c) Assuming that linear momentum is conserved during the collision, find the speed of car B just before the collision. Before After (a) Number Units (b) Number Units (c) Number Units B B

A small (35 g) block is sliding toward the right along a table when it hits a larger (90 grams) block that was at rest. After the collision, the large block slides 72 cm to the right before coming to a rest, while the small block bounces off the large block, sliding 1.5 m to the left before stopping. The somewhat rough table has a coefficient of kinetic friction of 0.42. What is the velocity of the small block just before it hits the larger block?