A 67kg trampoline artist jumps vertically upward with a speed of 4.7m/s. If the trampoline, 3.7m below, acts as a spring with a spring stiffness constant of 5.4x104N/m, how far does he depress it?
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- A 68kg trampoline artist jumps vertically upward with a speed of 4.9m/s. If the trampoline, 3.4m below, acts as a spring with a spring stiffness constant of 6.9×10^4 N/m, how far does he depress it?A gymnast of mass 52.0 kg is jumping on a trampoline. She jumps so that her feet reach a maximum height of 3.12 m above the trampoline and, when she lands, her feet stretch the trampoline 70.0 cm down. How far does the trampoline stretch whe she stands on it at rest? Assume that the trampoline is described by Hooke's law when it is strecthed.An ideal spring hangs vertically. When a 453 g object is hung from the bottom end, and lowered gently, the spring stretches 5.58 cm. How much would be the spring have stretched, in cm, if the mass of the object had been 560 g instead? x'=?
- Suppose the initial speed of the block is 1.17m/s, but its mass can be varied. What mass is required to give a maximum spring compression of 4.10 cm.Initially sliding with a speed of 4.1 m>s, a 1.5-kg block collideswith a spring and compresses it 0.27 m before coming to rest.What is the force constant of the spring?If a box of 90kg is put into the trunk of a car and as a result height of the car's bumper decreases by 12cm, what is the spring constant of its back suspension?
- 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?Bumper car "A' , with mass 54.0 × 104 kg, coasts across a level track at 4.50 m/s when it collides elastically with a spring-loaded bumper car "B" at the end of the track. If the maximum compression of the spring during the collision is 1.80 m , what is spring constant of the spring on bumper car "B"?A mathematical pendulum of mass 1.0 kg and length 1.0 m is moved by an angle 60° from the vertical axis and then let go. How fast does the wight move at the moment the rope encloses an angle of 30° with the vertical axis?
- • A 3.55-g bullet embeds itself in a 1.47-kg block, which is attachedto a spring of force constant 825 N>m. If the maximum compressionof the spring is 5.88 cm, find (a) the initial speed of the bullet and(b) the time for the bullet–block system to come to restA 3 kg block is fastened to a vertical string that has a spring constant of 800 N/m. A 1.2 kg block rests on top of the 3 kg block. When the blocks are at rest, how much is the spring compressed from its uncompressed length?Physics students design an experiment to measure assorted coefficients of friction using a set-up similar to the one shown (not drawn to scale). A small balloon containing sand with a combined mass of 98.2gg is suspended with an ideal string of length 86.6cmcm, forming a simple pendulum. The pendulum is released from an angle of 41.4∘∘ with the vertical, and it collides with a block of mass 333gg located where the pendulum string becomes vertical. Because the balloon weighted with sand is soft and deformable, the collision is totally inelastic. The block slides for a distance of 30.8mmmm before coming to rest. a) Calculate the speed, in meters per second, of the sand-filled balloon at the instant prior to the collision. b) Calculate the speed, in meters per second, of the block at the instant following the collision. c)