Part a) Calculate the energy required to lift 1 litre of gasoline from the surface of...
Part a)
Calculate the energy required to lift 1 litre of gasoline from the surface of the Earth to an altitude of 3000 km above the surface of the Earth.
Use g = 9.81 m s-2, the radius of the Earth is 6371 km, and the density of gasoline is 749 kg m-3.
Part b)
A planet orbits the Sun in a circular orbit. The force of gravity is the centripetal force of the circular motion. Assuming that potential energy is zero at infinity, what is the ratio of the kinetic energy of the planet to the potential energy of the planet?
Homework Answers
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Part a)
Calculate the energy required to lift 1 litre of gasoline from
the surface of...
(a) Explain the relationship between the universal gravitational constant G and the acceleration due to gravity...
(a) Explain the relationship between the universal gravitational constant G and the acceleration due to gravity at the earth's surface g. Therefore, calculate g from G using the relationships given below. Justify the choice of units for G (Nm kg?). F= mg The mass of the earth is 5.98 x 1024 kg, it's radius is Tg = 6.38 x 10 m, and G = 6.67 x 10-11 Nm?kg (10 marks) (b) Explain, including performing the integral, how the work done...
- Astronomers discover an exoplanet (a planet of a star other than the Sun) that has...
- Astronomers discover an exoplanet (a planet of a star other than the Sun) that has an orbital period of 3.63 Earth years in its circular orbit around its sun, which is a star with a measured mass of 3.65×10^30 kg . Find the radius of the exoplanet's orbit. - In order better to map the surface features of the Moon, a 353 kg imaging satellite is put into circular orbit around the Moon at an altitude of 137 km....
All questions please 101. The mass of the Earth is almost 6.0x104 kg, and the average...
All questions please
101. The mass of the Earth is almost 6.0x104 kg, and the average radius is about 6400 km. A satellite with a mass of 70 Kg is orbiting at an altitude of 600 km. Calculate the acceleration with which the satellite is falling on Earth. a. 5.7x10 m/s b. 5.7x10 m/s c. 5.7x10° m's d. 5.7x10 m/ e. 5.7x10m/s 102. The mass of the Earth is almost 6.0x 10* kg, and the average radius is about 6400...
A 1 007-kg satellite orbits the Earth at a constant altitude of 109-km. (a) How much energy must be added to the system...
A 1 007-kg satellite orbits the Earth at a constant altitude of 109-km. (a) How much energy must be added to the system to move the satellite into a circular orbit with altitude 193 km? MJ (b) What is the change in the system's kinetic energy? MJ (c) What is the change in the system's potential energy? MJ
Two Earth satellites, A and B, each of mass m, are to be launched into circular...
Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 7500 km. Satellite B is to orbit at an altitude of 24800 km. The radius of Earth REis 6370 km. (a) What is the ratio of the potential energy of satellite B to that of satellite A, in orbit? (b) What is the ratio of the kinetic energy of satellite B...
A 1 045-kg satellite orbits the Earth at a constant altitude of 95-km. (a) How much...
A 1 045-kg satellite orbits the Earth at a constant altitude of 95-km. (a) How much energy must be added to the system to move the satellite into a circular orbit with altitude 209 km? M] (b) What is the change in the system's kinetic energy? MJ (c) What is the change in the system's potential energy? M]
A 1 009-kg satellite orbits the Earth at a constant altitude of 97-km. (a) How much...
A 1 009-kg satellite orbits the Earth at a constant altitude of 97-km. (a) How much energy must be added to the system to move the satellite into a circular orbit with altitude 206 km? MO (b) What is the change in the system's kinetic energy? (c) What is the change in the system's potential energy? M]
10) The international space station (ISS) orbits the Earth from an altitude of 408 km. a)...
10) The international space station (ISS) orbits the Earth from
an altitude of 408 km.
a) Calculate the strength of Earth’s gravity on the ISS at that
altitude. (Hint: How far is the ISS from the center of mass of the
Earth?)
b) Earth’s gravity is what keeps the ISS in its orbit (which we
will assume is circular). At what speed does the ISS orbit the
Earth?
Please show working
New Equations 2 torque = (lever arm) x (force)...
Q1: A 1 036-kg satellite orbits the Earth at a constant altitude of 93-km. (a) How...
Q1: A 1 036-kg satellite orbits the Earth at a constant altitude of 93-km. (a) How much energy must be added to the system to move the satellite into a circular orbit with altitude 203 km? MJ (b) What is the change in the system's kinetic energy? MJ (c) What is the change in the system's potential energy? MJ Q2: A 475 kg satellite is in a circular orbit at an altitude of 575 km above the Earth's surface. Because...
8. (a) Calculate the potential energy of a 10.0-kg mass on the surface of the Earth...
8. (a) Calculate the potential energy of a 10.0-kg mass on the surface of the Earth and at an altitude of 400 km respectively: (b) calculate the speed needed to move this mass from surface of the Earth to the altitude of 400 km. (-6.25*10%, -5.88*10% J, 2.72*10 m/s)
(a) Explain the relationship between the universal gravitational constant G and the acceleration due to gravity at the earth's surface g. Therefore, calculate g from G using the relationships given below. Justify the choice of units for G (Nm kg?). F= mg The mass of the earth is 5.98 x 1024 kg, it's radius is Tg = 6.38 x 10 m, and G = 6.67 x 10-11 Nm?kg (10 marks) (b) Explain, including performing the integral, how the work done...
All questions please
101. The mass of the Earth is almost 6.0x104 kg, and the average radius is about 6400 km. A satellite with a mass of 70 Kg is orbiting at an altitude of 600 km. Calculate the acceleration with which the satellite is falling on Earth. a. 5.7x10 m/s b. 5.7x10 m/s c. 5.7x10° m's d. 5.7x10 m/ e. 5.7x10m/s 102. The mass of the Earth is almost 6.0x 10* kg, and the average radius is about 6400...
A 1 007-kg satellite orbits the Earth at a constant altitude of 109-km. (a) How much energy must be added to the system to move the satellite into a circular orbit with altitude 193 km? MJ (b) What is the change in the system's kinetic energy? MJ (c) What is the change in the system's potential energy? MJ
A 1 045-kg satellite orbits the Earth at a constant altitude of 95-km. (a) How much energy must be added to the system to move the satellite into a circular orbit with altitude 209 km? M] (b) What is the change in the system's kinetic energy? MJ (c) What is the change in the system's potential energy? M]
A 1 009-kg satellite orbits the Earth at a constant altitude of 97-km. (a) How much energy must be added to the system to move the satellite into a circular orbit with altitude 206 km? MO (b) What is the change in the system's kinetic energy? (c) What is the change in the system's potential energy? M]
10) The international space station (ISS) orbits the Earth from
an altitude of 408 km.
a) Calculate the strength of Earth’s gravity on the ISS at that
altitude. (Hint: How far is the ISS from the center of mass of the
Earth?)
b) Earth’s gravity is what keeps the ISS in its orbit (which we
will assume is circular). At what speed does the ISS orbit the
Earth?
Please show working
New Equations 2 torque = (lever arm) x (force)...
8. (a) Calculate the potential energy of a 10.0-kg mass on the surface of the Earth and at an altitude of 400 km respectively: (b) calculate the speed needed to move this mass from surface of the Earth to the altitude of 400 km. (-6.25*10%, -5.88*10% J, 2.72*10 m/s)
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