Physics Gravitation Level: High School
A satellite has a mass of 42 kg and is located at 2130000 m above Earth’s surface . What is the potential energy of the satellite-Earth system ?a) What is the magnitude of the gravitational force exerted by Earth on the satellite ?
Physics Gravitation Level: High School
Space station beta is positioned 12.8 x 10^6 M above the earth’s surface .a) What is the value of “g” , the acceleration due to gravity , inside the station ?
b) What would a 60.0-kg person weigh on board station beta ?
Physics Gravitation Level: High School
a) If a spacecraft moves in a straight line between the Earth and Sun , at what point would the force of gravity on the spacecraft due to the Sun be as large as that due to the earth ?
b) If the space craft is close to , but not at , this equilibrium point , does the net force on the spacecraft tend to push it toward or away from the equilibrium point ? (Hint : Imagine the spacecraft a small distance d closer to the Earth and find out which gravitational force is stronger)
Physics Gravitation Level: High School
Geosynchronous Satellite
Find the altitude of a geosynchronous satellite above Earth’s surface . Start by writing an equation that relates the period , radius , and speed of the orbiting satellite . Then apply the Newton’s second law to the satellite . You will have two equations with two unknowns ( the speed and radius) . Eliminate the speed algebraically and solve for the radius .
Physics Gravitation Level: High School
Imagine a planet whose mass is about 0.4 times the mass of the earth , while its radius is about 0.4 times the radius of the earth . Estimate the weight on this planet of an object that weighs 399.0 N on earth .
Physics Gravitation Level: High School
Three pennies ( m = 2.5 gm) are placed on an equilateral triangle of side d = 39.0 cm .a) Find the magnitude of the gravitational force exerted by the to penny on the lower right hand penny .
b) Find the magnitude of the net gravitational force on the penny due to the two lower ones.
c) Find the magnitude of the force exerted on a fourth penny placed exactly at the center of the triangle .
Physics Gravitation Level: High School
Imagine a planet whose distance from the sun is approximately 4.9 million miles . The distance of the earth is about 93 million miles . Find the length of this planet’s year in each year and the length of the planet’s year in each years ?
Physics Gravitation Level: High School
An asteroid of mass m1 is initially at rest at a point far from the Earth , where it has negligible gravitational potential energy . The asteroid gradually accelerates under the Earth’s gravitational influence and heads directly towards the Earth . At the same time a satellite is orbiting the Earth in a circular orbit of radius r at a speed given by v0 = sqrt (G ME / r ) Where is G is the gravitational constant and ME is the mass of the Earth . When the asteroid reaches the orbit r it has the speed v1 , what is the relationship between v0 and v1 of the circular orbit ?
Physics Gravitation Level: High School
Calculate the Schwarzchild radius of Cygnus X-1 (block hole) using R = 2 MG / c^2 . Use variables Universal Gravitational Constant (G) ; the mass (M) of the star that collapsed to form the black hole : and the speed of light (c) .
Physics Gravitation Level: High School
A moon rock is thrown upward with initial velocity 7.0 m / s . After 7.0 s it had a downward velocity of 4.0 m / s .a) What is the acceleration due to gravity on the Moon ?
b) How high above the starting point did the rock go before it begins to fall ?
Physics Gravitation Level: High School
A satellite of Jupiter has an orbital period of 1.77 days and orbital radius of 4.22 x 10 5 km . From these data , determine the mass of Jupiter ? (that’s 4.22 x ten to the fifth power )
Physics Gravitation Level: High School
It is proposed to put the moon into a 31-day orbit , to prevent there from being 2 full moons in a month . Currently the moon orbits at r = 3.831 x 10^8 m with KE = 3.832 x 10^28 J and PE = 7.664 x 10^28 J . Using the equation PE = -G ME. m/r . and remembering that PE is always negative in this convention .a) Calculate the new orbital distance .
b) Calculate the new PE , KE and the amount of energy necessary to make this change .
Physics Gravitation Level: High School
Orbital Velocity
A satellite is send into orbit about an unknown planet . The radius of orbit is 6200 km , and the satellite requires 78 minutes to make one complete orbit . What is the mass of the unknown planet ?
Physics Gravitation Level: High School
An astronaut is mass 94 kg lands on an unknown planet. He discovers he weighs only 650 N . If the unknown planet have a radius of 4300 km, what is the mass of the unknown planet ?
Physics Gravitation Level: High School
The electric force is much stronger than the gravitational force . Yet in determining the motions of planets and stars , the gravitational force is dominant . why ?