Physics Gravitation Level: High School
Asteroid
The asteroid Europe orbits the Sun like the other planets . Its period is about 1980 days . What is its mean distance from the Sun ?
Physics Gravitation Level: High School
(a) The small spherical planet called “Glob” has a mass of 7.58E + 18 kg and a radius of 6.26E + 4m . An astronaut on the surface of Glob throws a rock straight up . The rock reaches a maximum height of 2.44E + 3 m , above the surface of the planet , before it falls back down . What was the initial speed of the rock as it left the astronaut’s hand ? (Glob has no atmosphere, so no energy is lost to air friction . G = 6.67E-11 Nm^2/kg^2.)
(b) A 25.0 kg satellite is in a circular orbit with a radius of 1.55E + 5 m around the planet Glob . Calculate the speed of the satellite .
Physics Gravitation Level: High School
On planet Zog , Mr. Spock measures that it takes 1.44 s for a mass of 0.3 kg ot hit the ground when released from rest from a height of 2.61 m . Calculate the size of the acceleration of gravity on that planet .
Physics Gravitation Level: High School
M1 is a spherical mass (27.0 kg) at the origin . M2 is also a spherical mass (10.3 kg) and is located on the x-axis at x = 92.0 m . At what value of x would a third mass with a 12.0 kg mass experience no net gravitational force due to M1 and M2 ?
Physics Gravitation Level: High School
Gravity in Space
You are explaining to friends why astronauts feel weightless orbiting in the space shuttle , and they respond that they thought gravity was just a lot weaker up there . Convince them and yourself that it isn’t so by calculating how much weaker gravity is 275 km above the Earth’s surface in terms of g . Do not enter units .
Physics Gravitation Level: High School
Gravity Above Earth
How far above the Earth’s surface will the acceleration of gravity be a third of what it is on the surface ?
Physics Gravitation Level: High School
Acceleration Due to Gravity .
Calculate the acceleration due to gravity on Uranus . The radius of Uranus is about 2.56E+7m and its mass is 8.68E +25 kg .
Physics Gravitation Level: High School
(a) Calculate Newton’ law of gravity , the size of the force of attraction between the Earth and a mass of 5.0 kg on the Earth . Data: Distance to the center of Earth from the surface = 6370 km . Mass of Earth = 5.98 10^24 kg . Gravitational constant (G=6.67 times 10^-11 Nm^2/kg^2)
(b)Calculate , using Newton’s law of gravity , the size of the force of attraction between the moon and a mass of 5.0 kg on the earth surface nearest the moon . Data: Distance to athe moon from surface of the earth = 376000 km . Mass of the moon = 7.36 times 10^22 kg .
Physics Gravitation Level: High School
On a typical mission , the space shuttle ( m=2.10 106 kg ) orbits at an altitude of 280 km above the Earth’s surface .(a) Does the orbital speed of the shuttle depend on its mass ?
(b) Find the speed of the shuttle in its orbit
(c) How long does it take for the shuttle to complete one orbit of the Earth ?
Physics Gravitation Level: High School
In a binary star system, two stars orbit about their common center of mass, as shown in the figure at “click here” . If r2 = 12rl , what is the ratio of the masses m2/m1 of the two stars ?
Physics Gravitation Level: High School
An equilateral triangle 57.0 m on a side has a m1 = 30.00 kg mass at one corner , a m2 = 35.00 kg mass at another corner , and a m3 = 145.00 kg mass at the third corner . Find the magnitude and direction of the net force acting on the 30.00 kg mass .
Physics Gravitation Level: High School
An astronaut exploring a distant solar system lands on a unnamed planet with a radius of 4110 km . When the astronaut jumps upward with an initial speed of 4.20 m/s , she rises to a height of 0.55 m . What is the mass of the planet ?
Physics Gravitation Level: High School
(a) Find the acceleration of gravity on the surface of Saturn .
(b) Find the acceleration of gravity on the surface of Pluto .
Physics Gravitation Level: High School
The masses in a Cavendish apparatus are m1 = 11 kg and m2 = 10 g , the separation of their centers is 6 cm , and the rod separating the two small masses is 25 cm long .(a) What is the force of attraction between each small sphere and the nearby larger sphere ?
(b) What torque must be exerted by the suspension to balance these forces ?
Physics Gravitation Level: High School
Mass m experiences a gravitational force of magnitude 10 N . On the surface of planet X , the gravitational force is 30 N . What is the magnitude of the gravitational field on the surface of the planet X ?