Calculating Gravitational Acceleration at a Planet's Surface

This can be calculated using the equation F = g(m1m2)/r^2, where g is the gravitational constant, m1 is the mass of the planet, m2 is the mass of the object, and r is the distance between the center of the planet and the surface. In this case, to find the acceleration due to gravity at the surface of Mercury, you would need to know its mass and radius. This can be calculated using the given equations and the given information in the problem. In summary, the weight of an object on Mercury can be calculated using the equation F = g(m1m2)/r^2
  • #1
dinhjeffrey
30
0

Homework Statement



http://img26.imageshack.us/i/1113001.jpg/

#13

Homework Equations


m=F/a
F=g(m1m2)/r^2

The Attempt at a Solution



well, the answer is D, but I am not sure how a planet's size can affect an object's weight on there. I am guessing you have to use the gravitational constant. I am guessing you plug in the planets weight and the objects weight into m1 and m2 of gravitational constant?
 
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  • #2
dinhjeffrey said:

Homework Statement



http://img26.imageshack.us/i/1113001.jpg/

#13

Homework Equations


m=F/a
F=g(m1m2)/r^2

The Attempt at a Solution



well, the answer is D, but I am not sure how a planet's size can affect an object's weight on there. I am guessing you have to use the gravitational constant. I am guessing you plug in the planets weight and the objects weight into m1 and m2 of gravitational constant?
It is all about that r^2 term. If you know M (mass of planet) but don't know r (the radius of the planet - distance from centre to the surface), how do you find a (= GM/r^2) at the surface?

AM
 

FAQ: Calculating Gravitational Acceleration at a Planet's Surface

What is the gravitational constant?

The gravitational constant, denoted as G, is a physical constant that is used to measure the strength of the gravitational force between two objects. It is a fundamental constant in the study of gravity and is an important factor in many equations and theories in physics.

How is the gravitational constant measured?

The gravitational constant is typically measured using experiments such as the Cavendish experiment or the Schiehallion experiment. These experiments involve measuring the gravitational force between two masses at a known distance and using this information to calculate the value of G.

Why is the gravitational constant important?

The gravitational constant is important because it helps us understand and predict the behavior of objects in the universe. It is a key factor in the law of universal gravitation and is used in many equations and theories related to gravity and the motion of objects.

Is the gravitational constant constant?

Yes, the gravitational constant is considered to be a universal constant, meaning that its value is the same throughout the universe. However, there have been some theories and studies that suggest that the value of G may vary slightly in certain circumstances.

What is the value of the gravitational constant?

The current accepted value for the gravitational constant is approximately 6.67408 x 10^-11 m^3 kg^-1 s^-2. However, there is still some uncertainty in this value and it is an area of ongoing research and study in the scientific community.

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