College Physics
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Author: Raymond A. Serway, Chris Vuille
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A 500-kg ball at the end of a 30-m cable suspended from a crane is used to demolish a building. (a) If the ball has an initial
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- A 360-N child is in a swing that is attached to a pair of ropes 2.10 m long. Find the gravitational potential energy of the child-Earth system relative to the child's lowest position at the following times. (a) when the ropes are horizontal (b) when the ropes make a 31.0° angle with the vertical (c) when the child is at the bottom of the circular arcarrow_forwardHow much gravitational potential energy (in J) (relative to the ground on which it is built) is stored in an Egyptian pyramid, given its mass is about 4 ✕ 109 kg and its center of mass is 20.0 m above the surrounding ground? (Enter a number.) What is the ratio of this energy to the daily food intake of a person (1.2 ✕ 107 J)? (Enter your answer as a ratio to the number 1. Enter a number.)arrow_forwardA 1kg ball swings in a vertical circle at the end of a 1m-long string. R (a) If the ball can just (barely) make it to the top of the circle, what is the tension force when it reaches the top? Answer (b) Under the condition in (a), what is the speed of the ball when it is at the top? Answer: m/s (c) What is the required speed of the ball at the bottom of the circle so that it can just make it to the top as described in (a)? Answer m/s (d) What is the tension force in the string at the bottom of the cirdle? Answer: answers. Click Save and Subrmit to saie kdsubt Save All Answer ype here to searcharrow_forward
- A pendulum bob with a mass of 0.420 kg is attached to a 1.5 m long string as shown. As the pendulum bob swings from point A, where the angle 0 = 32.0°, to point B at the bottom of its arc, determine the change in the gravitational potential energy of the pendulum bob-earth system. 1.5 m A Barrow_forwardHelparrow_forwardA 0.50 kg mass can slide along the frictioneless loop the loop with loop radius R = 12 cm. The block is released from rest at point P, at height h=7R above the bottom of the loop. How much work is exerted on the block by the gravitational force as it travels from P to Q? Use g = 10 N/kg.arrow_forward
- A pendulum bob with a mass of 0.49 kg is attached to a 1.5 m long string as shown. As the pendulum bob swings from point A, where the angle ? = 34°, to point B at the bottom of its arc, determine the change in the gravitational potential energy of the pendulum bob-earth system.arrow_forwardConsider four "special positions" of the marble: (A) - the marble begins to fall (B) the cord begins to stretch (C) - the equilibrium position (D) the marble comes to a momentary stop as shown below. Assume that the zero level of the gravitational potential energy of the system "marble-Earth" is at the level of the table. 31 The marble reaches its maximum speed: at position B A Obetween positions A and B . Б at position C X C D Obetween positions B and C Oat position D Obetween positions C and Darrow_forwardA recently patented pile driver pounds piles into the ground by launching 15 kg bowling balls from a spring loaded gun, up around a frictionless loop-de-loop of radius r= 8 m, and down onto the pile. When the spring is compressed by As = 2 m, the bowling balls have a speed of 20 m/s at the top of the loop, as shown. (You may v = 20 m/s r=8 m assume g = 10 m/s².) k ? As = 2 m Find the spring constant of the gun. pile A) Zero B) 100 N/m C) 2700 N/m D) 150 N/m E) 1300 N/m O A O B O D O Earrow_forward
- A 240-N child is in a swing that is attached to ropes 2.10 m long. Find the gravitational potential energy associated with the child relative to her lowest position at the following times. (a) when the ropes are horizontal J(b) when the ropes make a 34.0° angle with the vertical J(c) when the child is at the bottom of the circular arc Jarrow_forwardConsider a 0.5 kg mass at the top of a 1.5 m high (vertical) incline. if it is allowed to slide down with negligible friction, what will be its speed (in m/s) at the bottom?arrow_forwardConsider the mechanical energy of a body in geostationary orbit above the Earth's equator, at rGS=42000 km. Consider the mechanical energy of the same body on Earth at the South pole, at re=6400 km. For this problem, we consider the Earth to be spherical. (Remember, the object at the equator is in orbit, the object at the Pole is not in orbit.) G=6.67×10−11 Nm2kg−2, and the mass of the Earth is M=5.97×1024 kg What is the difference in the mechanical energy per kilogram between the two? E =E= ___ MJ.kg−1 (to two significant figures, don't use scientific notation)arrow_forward
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