Gravitational and circular motion

In summary, the conversation discusses using equations to solve for the mass of the sun and the magnitude of the gravitational force between two spheres. The equations used are F= G(Mm/r^2) and Fc= mv^2/r. However, there are some errors in the calculations and it is suggested to show the equations symbolically first before plugging in numbers.
  • #1
physicsgirl12
1
0

The Problem Statement
1) The gravitational force of attraction between Earth and sun is 3.52X10^22 Newtons. Calculate the mass of the sun. (Include equation and how you solved it)

2) The centers of two 15 kg spheres separated by 3 meters. The magnitude of the gravitational force between the two surfaces is approximately
A. 1.11x10^-10 N B. 1.67x10^-9 N C. 3.34x10^-10 N D. 5.00x10^-9 N


1) Equation F= G( Mm/r^2)?
Attempt at solving:
3.52x10^22= 6.67x10^-11(Mm/6.37x10^6 squared)?
(3.52x10^22/6.67x10^-11)/6.37x10^6 squared)
I solved it but i got a weird number
-6.55x10^-22
I know its wrong


2) Equation:Fc= mv^2/r
Attempt at solving:
(6.67x10^-11)(15)(15)/ 1.5)?
1.001x10^-11?
its wrong
 
Last edited:
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  • #2
Hi, physicsgirl12! Forum rules require that you list relevant equations and show an attempt at a solution. Follow the template, edit your post, and resubmit; someone will then gladly assist.
 
  • #3
physicsgirl12 said:

The Problem Statement
1) The gravitational force of attraction between Earth and sun is 3.52X10^22 Newtons. Calculate the mass of the sun. (Include equation and how you solved it)

2) The centers of two 15 kg spheres separated by 3 meters. The magnitude of the gravitational force between the two surfaces is approximately
A. 1.11x10^-10 N B. 1.67x10^-9 N C. 3.34x10^-10 N D. 5.00x10^-9 N


1) Equation F= G( Mm/r^2)?
Attempt at solving:
3.52x10^22= 6.67x10^-11(Mm/6.37x10^6 squared)?
(3.52x10^22/6.67x10^-11)/6.37x10^6 squared)
I solved it but i got a weird number
-6.55x10^-22
I know its wrong

Can you explain what the 6.37 x 10^6 number represents? Why don't you show your equation for the mass of the sun symbolically first, before plugging in the numbers.

2) Equation:Fc= mv^2/r
Attempt at solving:
(6.67x10^-11)(15)(15)/ 1.5)?
1.001x10^-11?
its wrong

Your numerical equation doesn't match the equation you started with. Perhaps you meant to write Newton's law of gravitation? Anyways, can you explain your reason for your choice of value for r?
 

1. What is the difference between gravitational and circular motion?

Gravitational motion refers to the movement of objects under the influence of gravitational force, such as the orbit of planets around the sun. Circular motion, on the other hand, is a type of motion where an object rotates around a fixed point or axis.

2. What is the role of gravity in circular motion?

Gravity is the force that keeps objects in circular motion from flying off in a straight line. It acts as a centripetal force, constantly pulling the object towards the center of the circular path.

3. How is circular motion related to centripetal acceleration?

Centripetal acceleration is the acceleration of an object moving in a circular path. It always points towards the center of the circle and is caused by the centripetal force, which is necessary to keep an object in circular motion.

4. Can circular motion exist without gravity?

No, circular motion cannot exist without gravity. Without the force of gravity acting as a centripetal force, objects would not be pulled towards the center of the circular path and would instead continue moving in a straight line.

5. How is the speed of an object in circular motion related to its radius?

The speed of an object in circular motion is directly proportional to the radius of the circle. This means that as the radius increases, the speed also increases, and vice versa.

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