In a laboratory, two blocks of equal mass encounter a spring at the same velocity. One spring is horizontal and the other is vertical. Is there a difference in how much each spring is compressed? Why is there or why is there not a difference?
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In a laboratory, two blocks of equal mass encounter a spring at the same velocity. One spring is horizontal and the other is vertical. Is there a difference in how much each spring is compressed? Why is there or why is there not a difference?
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- An ideal spring is attached to the ceiling. While the spring is held at its relaxed length, a wooden block (M = 850 g) is attached to the bottom of the spring, and a ball of clay (m = 210 g) is pressed onto the bottom of the block so that they stick together. The block+clay are gently lowered through a distance of d = 2.7 cm and are then released, at which point they hang motionlessly from the bottom of the spring. After a few minutes have passed, the clay unsticks itself from the block and falls from rest to the ground. 1. What is the resulting period T of the block’s oscillation after the separation occurs? 2. As d approaches 0, what limit does T approach?Mickey, a daredevil mouse of mass 0.0201 kg,0.0201 kg, is attempting to become the world's first "mouse cannonball." He is loaded into a spring‑powered gun pointing up at some angle and is shot into the air. The gun's spring has a force constant of 87.5 N/m87.5 N/m and is initially compressed a distance of 0.145 m0.145 m from its relaxed position. If Mickey has a constant horizontal speed of 2.15 m/s2.15 m/s while he is flying through the air, how high ℎh above his initial location in the gun does Mickey soar? Assume ?=9.81 m/s2.An elastic cord is 66 cmcm long when a weight of 73 NN hangs from it but is 87 cmcm long when a weight of 190 NN hangs from it.What is the "spring" constant kk of this elastic cord?
- A spring with a spring constant of 383 N/m is initially compressed by a distance of 0.076 m from its equilibrium position. A mass of 0.038 kg is then held against the compressed spring and released from rest while upon a horizontal, frictionless surface. Assuming that the spring then pushes the mass across the surface, with speed does the mass leave the spring? Assume proper SI Units.A car with mass 1530 kg crashes into a wall. The car’s velocity immediately before the collision was 12.6 m/s and the bumper is compressed like a spring with spring constant 1.14 × 107 N/m. What is the maximum deformation of the bumper for this collision?Answer in units of m.A spring with a spring constant of 369 N/m is initially compressed by a distance of 0.064 m from its equilibrium position. A mass of 0.031 kg is then held against the compressed spring and released from rest while upon a horizontal, frictionless surface. Assuming that the spring then pushes the mass across the surface, with speed does the mass leave the spring? Assume proper SI Units.
- A spring with a spring constant of 349 N/m is initially compressed by a distance of 0.072 m from its equilibrium position. A mass of 0.056 kg is then held against the compressed spring and released from rest while upon a horizontal, frictionless surface. Assuming that the spring then pushes the mass across the surface, with speed does the mass leave the spring? Assume proper SI Units.A 70 kg stunt- woman falls off a bridge and travels 29.0 before colliding with a pile of mattresses. The mattresses are compressed 1.00 m before she is brought to rest. Calculate the magnitude of the average force exerted by the mattresses on the stunt-woman.A 0.454-kg block is attached to a horizontal spring that is at its equilibrium length, and whose force constant is 23.0 N/m. The block rests on a frictionless surface. A 5.90×10−2-kg wad of putty is thrown horizontally at the block, hitting it with a speed of 8.96 m/s and sticking.How far does the putty-block system compress the spring?
- In a research facility, a person lies on a horizontal platform which floats on a film of air. When the person's heart beats, it pushes a mass m of blood into the aorta with speed v, and the body and platform move in the opposite direction with speed V. Assume that the blood's speed is 56.5 cm/s. The mass of the person + platform is 54.0 kg. The platform moves 5.95 ✕ 10−5 m in 0.160 s after one heartbeat. Calculate the mass (in g) of blood that leaves the heart. Assume that the mass of blood is negligible compared with the total mass of the person, and the person + platform is initially at rest. (Also assume that the changes in velocity are instantaneous.)A rocket motor is undergoing a "bench test." It is attached to a fixed support by four large springs of constant 10^6 N/m. The motor burns fuel at a rate of 50 kg/s. When the motor is running the springs are observed to stretch 1.5 cm. Determine the exhaust speed of the burned fuel.An elastic cord is 72 cmcm long when a weight of 73 NN hangs from it but is 89 cmcm long when a weight of 210 NN hangs from it.What is the "spring" constant kk of this elastic cord?