Four identical masses of 7.3 grams are placed at the corners of a square with a side length of d = 27 cm, as shown below. What is the gravitational potential energy of the system? d d
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A: The gravitational potential energy is given as, P=mgh
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- 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 mA camera weighing 23 N falls from a small drone hovering 30 m overhead and enters free fall. What is the gravitational potential energy change (in J) of the camera from the drone to the ground if you take the following reference points? What is the gravitational potential energy (in J) of the camera at the following times if the reference point of zero gravitational potential energy is taken to be a second person looking out of a building 40 m from the ground? before it falls from the drone after the camera lands on the groundThe figure shows four particles, each of mass 40.0 g, that form a square with an edge length of d = 0.900 m. If d is reduced to 0.300 m, what is the change in the gravitational potential energy of the four-particle system? Number i Units d d î
- 3lo and Europa are two of Jupiter's moons. lo orbits closer to Jupiter than Europa. Assume that both moons have the same mass. Which statement is true? lo has more kinetic energy, less potential energy, and more mechanical energy (potential plus kinetic) than Europa. lo has more kinetic energy, less potential energy, and less mechanical energy (potential plus kinetic) than Europa. lo and Europa have the same amount of mechanical energy (potential plus kinetic). lo has more kinetic energy, more potential energy, and more mechanical energy (potential plus kinetic) than Europa.An object with mass 2 kg moves from a location m near the Earth's surface to location m. What is the change in the potential energy of the system consisting of the object plus the Earth? (Assume that the +y axis points vertically up from the ground.) i
- 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 10'l J (C) -2.13 x 10l J (B) -2.07 x 10!" j (D) 2.13 x 10"Jplease answer all the subpartsQ26 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.
- A planet with a radius of 6.00 × 107 m has a gravitational field of magnitude 41.7 m/s2 at the surface. What is the escape speed from the planet?An object with a mass of 0.400 kg is lifted by a vertical distance of 0.450m in the gravitational field of the earth. Determine the change in the gravitational potential energy.A 800 kg roller coaster goes over the first hill with a speed of 17.0 m/s. If h = 58 m, determine the change in gravitational potential between A and B. Use g = 10 N/kg.