A 39 kg child is jumping on a trampoline with a spring constant of 4700 N/m. On a particular jump, the trampoline extends 0.84 m below its rest level. What height above the rest position of the trampoline will the child reach from this jump?
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- A 1500-kg car moving at 20 m/s hits an initially uncompressed horizontal ideal spring. What is the spring constant if the maximum distance the spring compresses is 0.5 m? 2.4 x 10° N/m 3.0 x 106 N/m 2.0 x 106 N/m 1.0 x 106 N/mA 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/sIn starting a game of pinball, the 44.7 g ball rests on a spring, of spring constant k = 18.8 N/m, that has been compressed by 0.0900 m. If the spring is released, how far up the pinball table (which is inclined at 39.0°) does the ball go before rolling back down again? You can assume it doesn't hit any obstacles on the way up.An ideal spring can compress 2.33 cm by a force of 1290 N, a block of mass m = 3.18 kg is released from rest on an inclined plane, the inclination of the plane is 32 degrees, the block rest momentarly when the spring is compress 5.48 cm. Find the speed of the block when reaches the spring. (g = 10 m/s2 ).
- A 0.30-kg object is suspended from the ceiling at the end of a string of length 1.6 m. When pulled to the side and released, it has a speed of 2.7 m/s at the lowest point of its path. What maximum angle does the string make with the vertical as the object swings up?A 2.2 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring. (a) Determine the force constant (in N/m) of the spring, if the box compresses the spring 6.3 cm before coming to rest. N/m (b) Determine the initial speed (in m/s) the box would need in order to compress the spring by 1.6 cm. m/s Additional Materials ReadingIt'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 900 kg safe is 1.5 m above a heavy-duty spring when the rope holding the safe breaks. The safe hits the spring and compresses it 40 cm. What is the spring constant of the spring? Express your answer to two significant figures and include the appropriate units.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