.. A 45.7 kg circus acrobat drops from a height of 1.79 meters straight down onto a springboard with a force constant of 5.87 x 103 N/m, as shown in the figure. By what maximum distance does she compress the spring?
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- A spring with a force constant of 12 N/m rests horizontally on a table and projects balls with a mass of 8.3 × 10-3 kg towards targets placed on the ground 93 cm below. If the spring is compressed by 4.0 cm, how far does the ball travel horizontally before it hits the ground?12.Superman wanted to launch a small rocket using a spring mounted vertically on the ground. He placed the 4.0 kg rocket on a very stiff spring. The spring is 1.5m long, it has negligible mass and a spring force constant of 100,000 N/m. He compresses the spring for 1.1m. He then releases the spring. If y = 0 at the ground level, the system consists of the rocket and the spring; (I) what is the energy of the system before Superman releases the rocket? (II)What is the maximum height the rocket can reach if we can neglect air resistance? (III) If air resistance can't be neglected, it exerts a constant force of 37.5N on the rocket, how high will the rocket reach? (IV) What is the speed of the rocket when it is 120.0 m from the ground if air resistance is taken into account?You are asked to design spring bumpers for the walls of a parking garage. A freely rolling 1200-kg car moving at 0.65 m/s is to compress the spring no more than 0.090 m before stopping. What should be the force constant of the spring? Assume that the spring has negligible mass.
- You are asked to design spring bumpers for the walls of a parking garage. A freely rolling 1200 kg car moving at 0.65 m/s is to compress the spring no more than 0.090 m before stopping. What should be the force constant of the spring? Assume that the spring has negligible mass.A 5.00 kg block is moving at v0 = 6.00 m/s along a frictionless, horizontal surface toward a spring with force constant k = 500 N/m that is attached to a wall. The spring has negligible mass. What is the maximum compression of the spring i.e. how much will the spring compress before the block rebounds?A toy gun uses a spring with a force constant of 295 N/m to propel a 11-g steel ball. Assuming the spring is compressed 7.4 cm and friction is negligible, answer the following questions: What is the magnitude of the force, in Newton, that is needed to compress the spring? What is the maximum height, in meters, to which the ball can be shot? What is the gun’s maximum range, in meters, on level ground?
- A horizontal spring, of force constant 12 N/m, is mounted at the edge of a lab bench to shoot marbles at targets on the floor 93.0 cm below. A marble of mass 8.3 x 10-3 kg is shot from the spring, which is initially compressed a distance of 4.0 cm. How far does the marble travel horizontally before hitting the floor?A 1.20 kg piece of cheese is placed on a verticalspring of negligible mass and force constant K = 1800 N/m that is compressed 15.0 cm. When the spring is released, how high does the cheese rise from an initial position? (Here cheese and spring are not attached)(Take g = 9.8 m/s2)A 2.35-kg uniform bar oflength l = 1.30 m is heldin a horizontal position bythree vertical springs as inFigure P8.83. The two lowersprings are compressed andexert upward forces on thebar of magnitude F1= 6.80 Nand F2 = 9.50 N, respectively.Find (a) the force Fs exertedby the top spring on the bar,and (b) the location x of the upper spring that will keep thebar in equilibrium.
- In a Broadway performance, an 80.0-kg actor swings from a3.75-m-long cable that is horizontal when he starts. At the bottomof his arc, he picks up his 55.0-kg costar in an inelasticcollision. What maximum height do they reach after theirupward swing?A toy rocket is launched straight up by using a spring. The rocket is initially pressed down on the spring so that the spring is compressed by 9 cm. If the spring constant is 1070 N/m and the mass of the rocket is 50 grams, how high will the rocket go? You may neglect the effects of air resistance.You attach a 2.50 kg weight to a horizontal spring that is fixed at one end. You pull the weight until the spring is stretched by 0.400 m and release it from rest. Assume the weight slides on a horizontal surface with negligible friction. The weight reaches a speed of zero again 0.100 s after release (for the first time after release). What is the maximum speed of the weight (in m/s)? m/s Need Help? Read It