A new event has been proposed for the next Winter Olympics. As seen in the figure below, an athlete will sprint 100 m, starting from rest, then leap on a 25.0 kg bobsled. The person and bobsled will then slide down a 50.0 m long ice-covered (frictionless) ramp, sloped at 20.0°, and into a spring with a carefully calibrated spring constant of 2000.0 N/m. The athlete who compresses the spring the farthest wins the gold medal. Lisa, whose mass is 40.0 kg, has been training for this event. She can reach a maximum speed of 12.0 m/s in the 100 m dash. How far will Lisa compress the spring?

A new event has been proposed for the next Winter Olympics. As seen in the figure below, an athlete will sprint 100 m, starting from rest, then leap on a 25.0 kg bobsled. The person and bobsled will then slide down a 50.0 m long ice-covered (frictionless) ramp, sloped at 20.0°, and into a spring with a carefully calibrated spring constant of 2000.0 N/m. The athlete who compresses the spring the farthest wins the gold medal. Lisa, whose mass is 40.0 kg, has been training for this event. She can reach a maximum speed of 12.0 m/s in the 100 m dash. How far will Lisa compress the spring?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A toy cannon uses a spring to project a 5.31-g soft rubber ball. The spring is originally compressed by 5.08 cm and has a force constant of 7.95 N/m. When the cannon is fired, the ball moves 14.0 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.031 2 N on the ball. (a) With what speed does the projectile leave the barrel of the cannon? m/s (b) At what point does the ball have maximum speed? cm (from its original position) (c) What is this maximum speed? m/s Need Help? Submit Answer Read It Watch It
A spring-loaded toy gun is used to shoot a ball of mass m = 1.50 kg straight up in the air, as shown in (Figure 1). The spring has spring constant k = 667 N/m. If the spring is compressed a distance of 25.0 centimeters from its equilibrium position y = 0 and then released, the ball reaches a maximum height hmax (measured from the equilibrium position of the spring). There is no air resistance, and the ball never touches the inside of the gun. Assume that all movement occurs in a straight line up and down along the y axis. Figure hmax y=0 ☹ 1 of 1 Part B Find vm the muzzle velocity of the ball (i.e., the velocity of the ball at the spring's equilibrium position y = 0). ▸ View Available Hint(s) Um = Submit Part C v A Templates Symbols undo redo reset keyboard shortcuts help Find the maximum height hmaxof the ball. Express your answer numerically, in meters. ▸ View Available Hint(s) hmaxe Submit ▾ Part D Templates Symbols undo redo reset keyboard shortcuts help Submit m/s Which of the…
As a part of an exercise routine to strengthen their pectoral muscles, a person stretches a spring which has a spring constant k=585N/m
A 1.30 kg block slides on a frictionless horizontal surface until it encounters a spring with a force constant of 520 N/m. The block comes to rest after compressing the spring by the distance of 2.50 cm.What was the initial speed of the block ? O 0.25 m/s 5.0 m/s O 31.6 m/s O 0.50 m/s
A 6.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)? (Enter a number.)
During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. A balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. Assume that the stretching of the hose obeys Hooke's law with a spring constant of 130 N/m. If the hose is stretched by 5.30 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length?
You are asked to design spring bumpers for the walls of a parking garage. A freely rolling 1100 kg car moving at 0.60 m/s is to compress the spring no more than 7.3×10−2 m before stopping. What should be the force constant of the spring? Assume that the spring has negligible mass
It's your birthday, and to celebrate you're going to make your first bungee jump. You stand on a bridge 105 m above a raging river and attach a 30-m-long bungee cord to your harness. A bungee cord, for practical purposes, is just a long spring, and this cord has a spring constant of 48 N/m. Assume that your mass is 70 kg. After a long hesitation, you step off the bridge.How far are you above the water when the cord reaches its maximum elongation?
a cannonball with a mass of 6.95 kg is placed in a vertical, spring-loaded cannon bearing a spring with a spring constant of 5.6 newtons/meter. The spring is compressed by a distance of 4.54 meters and released. Please use g=9.80 m/s2. The max height reached by the cannonball in meters is?
An athlete stretches a spring an extra 20.5 cm beyond its initial length. How much energy has he transferred to the spring, if the spring constant is 29.6 N/cm? 622 J 62.2 kJ 62.2 J O 622 kJ
7.42 · A 2.00-kg block is pushed against a spring with negligible mass and force constant k = 400 N/m, compressing it 0.220 m. When the block is released, it moves along a frictionless, hori- zontal surface and then up a frictionless incline with slope 37.0° (Fig. P7.42). (a) What is the speed of the block as it slides along the horizontal surface after having left the spring? (b) How far does the block travel up the incline before starting to slide back down? Figure P7.42 k = 400 N/m m = 2.00 kg WWWWAAAA wwww 37.0° K-0.220 m-