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graph shows how the gravitational potential difference between a point on the Earth's surface and a distant point, distance x from the Earth's surface, changes near to the Moon's surface. The Moon's surface is 384 000 km from the Earth's surface. 61 59 58 330 C00 340000 350000 360 000 370 000 380 000 x/km The graph shows the gravitational potential difference first increasing, then achieving a maximum value and finally decreasing to a smaller value on the Moon's surface. ) Use the graph to determine the amount of potential energy re- leased as a mass of 200 kg falls to the surface of the Moon from a height of 14000 km. Atwhat speed will it hit the surface? (i) What feature of the graph justifies the assumption that the potential energy of a body measured with respect to the Moon's surface is proportional to its height above that surface? Obtain from the graph the height to which this assumption is true. Gravitational potential differenceMJ kg

graph shows how the gravitational potential difference between a point on the Earth's surface and a distant point, distance x from the Earth's surface, changes near to the Moon's surface. The Moon's surface is 384 000 km from the Earth's surface. 61 59 58 330 C00 340000 350000 360 000 370 000 380 000 x/km The graph shows the gravitational potential difference first increasing, then achieving a maximum value and finally decreasing to a smaller value on the Moon's surface. ) Use the graph to determine the amount of potential energy re- leased as a mass of 200 kg falls to the surface of the Moon from a height of 14000 km. Atwhat speed will it hit the surface? (i) What feature of the graph justifies the assumption that the potential energy of a body measured with respect to the Moon's surface is proportional to its height above that surface? Obtain from the graph the height to which this assumption is true. Gravitational potential differenceMJ kg

College Physics
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)...
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(b) The graph shows how the gravitational potential difference between a point on the Earth's surface and a distant point, distance x from the Earth's surface, changes near to the Moon's surface. The Moon's surface is 384 000 km from the Earth's surface. 62 60 59 58 330 000 340 000 350000 360 000 370 000 380 000 x/km The graph shows the gravitational potential difference first increasing, then achieving a maximum value and finally decreasing to a smaller value on the Moon's surface. (1) Use the graph to determine the amount of potential energy re- leased as a mass of 200 kg falls to the surface of the Moon from a height of 14 000 km. At what speed will it hit the surface? (i) What feature of the graph justifies the assumption that the potential energy of a body measured with respect to the Moon's surface is proportional to its height above that surface? Obtain from the graph the height to which tlhis assumption is true. Gravitational potential difference/MJ kg
Transcribed Image Text:(b) The graph shows how the gravitational potential difference between a point on the Earth's surface and a distant point, distance x from the Earth's surface, changes near to the Moon's surface. The Moon's surface is 384 000 km from the Earth's surface. 62 60 59 58 330 000 340 000 350000 360 000 370 000 380 000 x/km The graph shows the gravitational potential difference first increasing, then achieving a maximum value and finally decreasing to a smaller value on the Moon's surface. (1) Use the graph to determine the amount of potential energy re- leased as a mass of 200 kg falls to the surface of the Moon from a height of 14 000 km. At what speed will it hit the surface? (i) What feature of the graph justifies the assumption that the potential energy of a body measured with respect to the Moon's surface is proportional to its height above that surface? Obtain from the graph the height to which tlhis assumption is true. Gravitational potential difference/MJ kg
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