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An object of mass m is dropped from height h above a planet of mass M and radius R?
You can use V^2=V_0^2+2a(delta(y))
we know that V_0 = 0, delta(y)=h and a=GM/R^2
substituting we get V^2=2GMh/R^2
so V=sqrt(2GMh/R^2)
You can also do this using the gravitational definition of potential energy
If GMm/R^2=force of gravity then we know the integral of this is equal its potential energy.
so PE= -GMm/R evaluated from r to r+h setting this equal to kinetic energy (1/2*mv^2) and evaluating our integral we get
v=sqrt[2GM(1/R-1/(R+h))]
What else can I help you with?
What is the weight of an object on the surface of a planet with radius r?
The weight of an object on the surface of a planet with radius r is determined by the planet's mass and the object's distance from the planet's center. The weight can be calculated using the formula W (G M m) / r2, where W is the weight, G is the gravitational constant, M is the planet's mass, m is the object's mass, and r is the radius of the planet.
How do you work out literage?
To calculate literage, you need to determine the volume of the object in liters. This can be done by measuring the length, width, and height in centimeters (or meters) for a rectangular object and using the formula Volume = Length x Width x Height. If working with a cylindrical object, measure the radius and height and use the formula Volume = π x Radius^2 x Height to find the literage.
To escape from a planet's an object muct reach a speed called the?
To escape from a planet's gravitational pull, an object must reach a speed called the "escape velocity." This velocity depends on the mass and radius of the planet from which the object is trying to escape.
What is gravitational acceleration?
Standing at surface radius its = 9.82 (m/s)/sbut double the radius and the acceleration drops to 9.82 / ((2 / 1)2) = 2.455 (m/s)/s
What do you measure to find out how much space something occupies?
If the object is a box, then the volume is the length x width x height. If the object is a cylinder, then the volume is pi x radius x radius x height. If the object is a ball, then the volume is 4/3 * pi x radius x radius x radius.
What is the weight of an object on the surface of a planet with radius r?
The weight of an object on the surface of a planet with radius r is determined by the planet's mass and the object's distance from the planet's center. The weight can be calculated using the formula W (G M m) / r2, where W is the weight, G is the gravitational constant, M is the planet's mass, m is the object's mass, and r is the radius of the planet.
How do you find the volume of a object using height and radius?
you cant its inpoibl
What determines how strong the force of gravity is at the surface of each planet?
The weight of an object on the surface of a planet depends on ...-- The mass of the object.-- The mass of the planet.-- The distance between the center of the object and the centerof the planet, i.e. the planet's radius.
Do objects on other planets weigh the same as they weigh on Earth?
No. Weight is the measure of how much force a planet pulls an object, that force is determined by the planet's mass and radius, and each planet has a different mass and radius.
How do you work out literage?
To calculate literage, you need to determine the volume of the object in liters. This can be done by measuring the length, width, and height in centimeters (or meters) for a rectangular object and using the formula Volume = Length x Width x Height. If working with a cylindrical object, measure the radius and height and use the formula Volume = π x Radius^2 x Height to find the literage.
To escape from a planet's an object muct reach a speed called the?
To escape from a planet's gravitational pull, an object must reach a speed called the "escape velocity." This velocity depends on the mass and radius of the planet from which the object is trying to escape.
What is gravitational acceleration?
Standing at surface radius its = 9.82 (m/s)/sbut double the radius and the acceleration drops to 9.82 / ((2 / 1)2) = 2.455 (m/s)/s
What 2 factors combine to define the amount of gravity that exists on the surface of a planet?
-- The product of the masses of the planet and the object on its surface; -- The distance between their centers of mass ... roughly the planet's radius.
Is the height of a hemisphere the same as the radius?
Yes its height is the same as its radius
Which planet has the largest schwarzschild radius?
This is nothing to do with planets. It's part of the theory of black holes. Perhaps you mean if the planet's mass were concentrated into a black hole. In that case the answer is Jupiter, because it has the greatest mass.
What is the radius of a cylinder if the height is 27 centimeters?
The radius of a cylinder is independent of its height.
Find the radius using surface area and height?
FIrst we need to know what the object is? Perhaps you mean a cone or a cylinder?
