In an elastic head-on collision, a 0.60 kg cart moving at 5.0 m/s [W] collides with a 0.80 kg cart moving at 2.0 m/s [E]. The collision is cushioned by a spring (k = 1200 N/m). a) Determine the velocity of each cart after the collision. b) Determine the maximum compression of the spring.
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In an elastic head-on collision, a 0.60 kg cart moving at 5.0 m/s [W] collides with a 0.80 kg cart moving at 2.0 m/s [E]. The collision is cushioned by a spring (k = 1200 N/m).
a) Determine the velocity of each cart after the collision.
b) Determine the maximum compression of the spring.
I asked this question before and only one velocity was given, however I need a velocity for each cart. I also noticed that the person answering before didn't adjust the cart to the Earth's frame of reference. I attached my answer for part a) but if someone could explain how to do this and if mine is right. Thank you.
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- 11. A spring clamped to the table shoots Block 1 (110 g, wood) directly into Block 2 (80 g, steel), this perfectly elastic collision will launch the second block up a ramp. When the spring is compressed 14 cm, the block travels up a ramp that has a height of 86 cm and then compresses another spring (310 N/m) at the top, 5 cm. What then is the spring constant for the first spring? Assume that all surfaces are frictionless. cIT Etlon eA 5.00-g bullet moving with an initial speed of vo = 360 m/s is fired into and passes through a 1.00-kg block, as in the figure below. The block, initially at rest on a frictionless horizontal surface, is connected to a spring with a spring constant of 885 N/m. Vo www 5.00 cm- (a) If the block moves 5.00 cm to the right after impact, find the speed at which the bullet emerges from the block. m/s (b) If the block moves 5.00 cm to the right after impact, find the mechanical energy lost in the collision.A bullet of mass m=5g moving with an initial speed 400m/s of 400 m/s is fired into and passes through a M=1 kg block, as in Figure. The block, initially at rest on frictionless, horizontal surface is connected to a 5.00cm! spring of force constant k=900 N/m. If the block moves d= 5 cm to the right after impact and the object stops. What is the speed of block at which the bullet emerges from it? 1,5 m/s 200 m/s 2 m/s 100 m/s 150 m/s
- A 5.00-g bullet moving with an initial speed of v0 = 430 m/s is fired into and passes through a 1.00-kg block, as in the figure below. The block, initially at rest on a frictionless horizontal surface, is connected to a spring with a spring constant of 910 N/m. (a) If the block moves 5.00 cm to the right after impact, find the speed at which the bullet emerges from the block. m/s(b) If the block moves 5.00 cm to the right after impact, find the mechanical energy lost in the collision. JA 0.430 kg block of wood rests on a horizontal frictionless surface and is attached to a spring (also horizontal) with a 26.0 N/m force constant that is at its equilibrium length. A 0.0600 kg wad of Play-Doh is thrown horizontally at the block with a speed of 2.60 m/s and sticks to it. Determine the amount in centimeters by which the Play-Doh-block system compresses the spring.A ball of mass 0.50 kg is fired with velocity 120 m/s into the barrel of a spring gun of mass 1.7 kg initially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring. No energy is lost to friction. What fraction of the ball's initial kinetic energy is stored in the spring? F00000
- Consider two cars that can roll on a frictionless track. Initially, both cars are at rest. One car is launched from rest with a spring, and the cars undergo a completely inelastic collision. The spring constant is 850 N/m, and the spring is initially compressed by 0.075 m. The first car has a mass of 0.50 kg and the second has a mass of 1.0 kg. An identical spring is located to the right of the cars. a. The velocity of the first car just before collision. b. The velocities of the cars after collision. c. The distance the spring on the right will be compressed when the cars are completely stopped by the spring.Two balls of mass m and M are attached by strings of length L. The two balls are initially at rest at an angle θ, and are then released. The balls undergo a totally inelastic collision at the bottom of their swings. Assume that m = 1.7kg, M = 2.8kg, L = 0.80m and θ = 67o.a) Calculate the speed of the balls immediately after the totally inelastic collision.b) To what maximum angle do the conjoined balls rise after the collision?A 12.0-g bullet is fired horizontally into a 114-g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 143 N/m. The bullet becomes embedded in the block. If the bullet-block system compresses the spring by a maximum of 82.0 cm, what was the speed of the bullet at impact with the block? m/s
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