Q10 The planet Saturn has a mass of 5.70 x 1026 kg and a diameter of 139820 km. A satellite in orbit around Saturn has a mass of 400 kg and is in orbit 1600 km above the surface of the planet. What is the gravitational potential energy of the satellite? (A) -1.98 x 10l J (C) -2.13 x 10"J (B) -2.07 x 10!" J (D) 2.13 x 101J
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A: mass (m) = 88 kg Altitude (h) = 8848 m
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Q: sketch a graph that shows the proper relationship.
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A: Given: Weight of the ball = 57 N Height of the shelf = 1.6 m
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A: Mass of book (mb) = 1.2 kg Height of desk above floor (h) = 140 cm = 1.4 m g = 9.81 ms2
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- 1. A 0.20-kg stone is held 1.3 m above the top edge of a water well and then dropped into it. The well has a depth of 5.0 m. Relative to the configuration with the stone at the top edge of the well, what is the gravitational potential energy of the stone-Earth system (a) before the stone is released and (b) when it reaches the bottom of the well? (c) What is the change in gravitational potential energy of the system from release to reaching the bottom of the well?At NASA's Zero Gravity Research Facility in Cleveland, Ohio, experimental payloads fall freely from rest in an evacuated vertical shaft through a distance of 132 m. (a) If a particular payload has a mass of 15 kg, what is its potential energy relative to the bottom of the shaft? J(b) How fast will the payload be traveling when it reaches the bottom of the shaft? m/sConvert your answer to mph for a comparison to highway speeds. mphThe figure shows four particles, each of mass 40.0 g, that form a square with an edge length of d=0.700 m. If d is reduced to 0.100 m, what is the change in the gravitational potential energy of the four-particle system? Number i ! Units
- Consider a satellite in a circular orbit above Earth’s surface. In Chapter we will learn that the force of gravity changes only the direction of motion of a satellite in circular motion (and keeps it in a circle); it does NOT change the satellite’s speed. Work done on the satellite by the gravitational force is zero. What is your explanation?The Elf on the Shelf has mass 0.500 kg and is sitting on a shelf some height y above the ground. If the gravitational potential energy is 49.0 J, what is y?Q1 An object with a mass 100 kg decrease in kinetic energy of 500 ki and an increase in potential energy of 1500 kJ. The initial velocity and elevation of the object, each relative to the surface of the earth, are 40 m/s and 30 m, respectively. Determine (a) the final velocity, in m/s. (b) the final elevation, in m
- A spring with a spring constant k = 852 N/m is compressed from its unstretched length to a length of 9.2 cm. Calculate the change in potential energy in Joules to 2 s.f. Your Answer: Answerassume the object has a mass of 0.55kg. calculate the gravitational potential energy and kinetic energy of the object. add the values to get the total energy. don't forget to label the units. time (s) 0.05 height (m) 4.99 speed (M/s) 0.5Pilings are driven into the ground at a building site by dropping a 2150 kg object onto them. What change in gravitational potential energy does the object undergo if it is released from rest 20.0 m above the ground and ends up 1.90 m above the ground? change in gravitational potential energy: 318481.65 J Incorrect
- A 54 kg person climbs a set of stairs at a constant speed up a height of 3.4 m in 32 s. Calculate the gravitational potential energy at the top of the stairs. a) 1.8 X 10² J b) 5.3 X 10² J c) 1.7 X 10³ J d) 1.8 X 10³ JQ26 A rocket is in orbit, distance R from the centre of the Earth. At this height it has gravitational potential energy (U) equal to -4E Joules. The rocket is then boosted to an orbit where its gravitational energy is -E. (a) Complete the table to show the missing values. Gravitational Orbital kinetic Total energy () potential energy () energy (J) Initial position -4E Final position -E (b) Explain how the gravitational potential energy of the rocket seems to decrease from -4E to -E even though it is boosted to a higher orbit. (c) Justify the change in kinetic energy of the Tocket by deriving the relationship between velocity of an orbiting object and the radius of its orbit.7. A 59 kg snowboarder descends a 13 km ski hill from the top of a mountain to the base (Figure 4). The slope is at an angle of 14° to the horizontal Determine the snowboarder's gravitational potential energy relative to the mountain base when she is at the top. 1.3 km 8=14 Drawing not to scaie