Physics Gravitation Level: High School
Three masses are located as follows : a 3.5 kg mass is at the origin , a 4.2 kg mass at (0.0 m, 7.0 m) , and a 6.5- kg mass at (24.0 m , 0.0 m ) . What is the gravitational energy of the system of masses ? G = 6.67 x 10 to power of (-11) N x m squared / kg squared .a) -2.8 x 10 to power of (-10) J
b) -2.0 x 10 to power of (-10) J
c) -1.4 x 10 to power of (-10) J
d) -3.2 x 10 to power of (-10) J
Physics Gravitation Level: High School
Three masses are located as follows : a 3.0 kg mass is at the origin . a 4.5 kg mass at (0.0 m , 4.0 m 0 and a 2.5 kg mass at (3.0 m, 0.0 m) . What is the gravitational energy of the system of masses ? G = 6.67 x 10 to power of (-11) N x m squared / kg squared .a) -3.8 x 10 to power of (-10) J
b) -3.9 x 10 to power of (-10) J
c) -5.4 x 10 to power of (-10) J
d) -3.2 x 10 to power of (-10) J
Physics Gravitation Level: High School
Kepler's lows
Because Earth’s orbit is slightly elliptical , Earth actually gets closer to the Sun during part of the year . When Earth is closer to the Sun its orbital speed is :
a) Less than When Earth is farthest away from the Sun .
b) The same as when Earth is farthest away from the Sun .
c) Greater than when Earth is farthest away from the Sun .
d) Sometimes greater sometimes smaller than when Earth is farthest away from the Sun .
Physics Gravitation Level: High School
The acceleration due to gravity on the surface of Earth is g . Ceiling R the radius of Earth , at what distance from Earth’s center would the acceleration due to gravity drop to g / 16 ?a) 16 R
b) R/ 16
c) R/4
d) 4 R
Physics Gravitation Level: High School
You are on an airplane traveling with a constant velocity at an altitude of 20000 m . What is the acceleration of gravity at that altitude ? The radius of Earth is 6.37 x 10 to power of (6) m .a) 9.81 m/s squared .
b) 9.78 m/s squared .
c) 9.75 m/s squared .
d) 9.72 m/s squared .
Physics Gravitation Level: High School
What would be the weight of a 59.1 kg astronaut on a planet with the same density as Earth and having twice Earth’s radius ?a) 580 N
b) 290 N
c) 1160 N
d) 2320 N
Physics Gravitation Level: High School
What would be the weight of a 59.1 kg astronaut on a planet twice as massive as Earth and having twice Earth’s radius ?a) 580 N
b) 290 N
c) 1160 N
d) 118 N
Physics Gravitation Level: High School
Two clocks are taken from the earth to the moon . the first clock uses a pendulum mechanism, while the second clock uses a spring-loading mechanism. What happens with the time displayed by the pendulum clock ?a) faster
b) no change
c) slower
What happens with the time displayed by the spring-loaded clock ?
a) no change
b) slower
c) faster
Physics Gravitation Level: High School
The moon moves around the earth with radius 3.84 x 10^8 m (the distance from the center of Earth to the center of Moon) . The mass of earth is 6.0 x 10^24 kg .a) What force (you do not need to tell how much of this force) provides the centripetal fore when the Moon resolves ?
b) Calculate the speed of moon moving around the earth based on the answer in (a).
Physics Gravitation Level: High School
Where necessary use the Zarkon parameters given at the end of this problem .a) What would the radius of the Zarkon have to be so that the gravity at the surface of the Zarkon would be the same as the gravity at the surface of the Earth ?
b) Zarkon has a little moon (Abba) , which orbits Zarkon at a distance of 1.00 x 10^5 km from the planet’s center . How long is a month on Zarkon (in Zarkon days ) ? (Month =”month” = one revolution of a moon around its “parent” planet ) [The mass of Zarkon is 0.100 the mass of the Earth . A day on Zarkon is 10.0 Earth hours long .]
Physics Gravitation Level: High School
Orbital Motion
What would happen to the moon if something took away its orbital velocity ? What would happen is something took away the Earth’s gravitational field ?
Physics Gravitation Level: High School
The earth attracts the noon gravitationally , and the moon likewise attracts the earth, each pulling on one another according to Newton’s third law of motion . Is there some point between the earth and moon where the net gravitational force is zero ? if you think so , please answer where that point might be , closer to earth or closer to the moon ?
Physics Gravitation Level: High School
Why are the planets , the sun , the moon, all spherical shapes ?
Physics Gravitation Level: High School
Gravitational Potential Energy
A 1.41 ball is attached to a ceiling by a 1.57 m long string . The height of the room is 5.41 m . The acceleration of gravity is 9.8 m/s^2 . What is the gravitational potential energy associated with the ball relative to the ceiling ? Answer in units of J .a) What is the gravitational potential energy relative to the floor ?
b) What is its gravitational potential energy relative to a point at the same elevation as the ball ?
Physics Gravitation Level: High School
Gravitational Potential Energy
Energy is required to move a 422 kg mass from the Earth’s surface to an altitude h = 1.65 RE above the surface . The acceleration of gravity is 9.8 m/s^2 . The earth has the radius RE = 6370000 m . What amount of energy is required to accomplish this move ? (Hint : G and ME can be eliminated in favor of parameter of the gravitational acceleration at the surface of the earth ; ie, g = 9.8 m/s^2 .The product GME may be obtained from R^2E , the gravitational acceleration of the earth’s surface .