If (g) is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass (m) raised from the surface of the earth to a height equal to the radius (R) of the earth is : (a) /1 mg R 1 (b) mg R (c) mg R (d) 2 mgR
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- A man of mass 80.0 kg walks down the aisle of an airplane at a speed of 1.00 m/s in the forward direction while the plane moves at a speed of 300 m/s relative to the earth. Find the man’s kinetic energy relative to (a) the plane; (b) the earth.need help on attatched questionA frictionless simple pendulum, with a small but dense 4.4-kg mass at the end and a length of 75 cm, is released from rest at an angle of 50° with the vertical.a) What is the potential energy for the mass just as it is released, compared with the potential energy at the lowest point of the path?b) How fast will it be moving at the lowest point of the path?c) To what height above its lowest point does the mass swing on the other side?
- A satellite in Earth orbit has a mass of 91 kg and is at an altitude of 2.04 x 10° m. (Assume that U = 0 as r→ o.) (a) What is the potential energy of the satellite-Earth system? (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? (c) What force, if any, does the satellite exert on the Earth? (Enter the magnitude of the force, if there is no force enter 0.) NThe force of attraction on an object below Earth’s surface is directly proportional to its distance from Earth’s center. Find the work done in moving a weight of w lb located a mi below Earth’s surface up to the surface itself. Assume Earth’s radius is a constant r mi.A mass is connected to a horizontal spring. If a force of 13 N is applied to the spring, it stretches by 17.5 cm. (a) If you compress the spring 22.5 cm from the equilibrium position, how much potential energy (in J) does it have? (b) If you then release the spring so that the mass is now 9.5 cm from the equilibrium position, how much potential energy (in J) does it have now? (c) What is the change in potential energy (in J) from part (a) to part (b)? (d) How much work (in J) did the spring do on the mass when the mass is moved from its position in part (a) to its position in part (b)? (e) How much work (in J) did you do on the mass to allow the spring to move from its position in part (a) to its position in part (b)?
- As shown in the figure below, two masses m, = 4.30 kg and m, which has a mass 60.0% that of m., are attached to a cord of negligible mass which passes over a frictionless pulley also of negligible mass. If m, and m, start from rest, after they have each traveled a distance h = 1.70 m, use energy content to determine the following. (a) speed v of the masses m/s (b) magnitude of the tension Tin the cord NAs shown in the figure below, two masses m, = 4.70 kg and m, which has a mass 80.0% that of m,, are attached to a cord of negligible mass which passes over a frictionless pulley also of negligible mass. If m, and m, start from rest, after they have each traveled a distance h = 1.60 m, use energy content to determine the following. (a) the speed (in m/s) v of the masses m/s (b) the magnitude (in N) of the tension T in the cordA satellite in Earth orbit has a mass of 103 kg and is at an altitude of 1.91 106 m. (Assume that U = 0 as r → ∞.) (a) What is the potential energy of the satellite–Earth system? (J) (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? (N) (c) What force, if any, does the satellite exert on the Earth? (Enter the magnitude of the force, if there is no force enter 0.) (N)