What is the Gravitational Force Between the Moon and a 50-kg Student?

[STrain]

Homework Statement

It is said that people often behave in unusual ways during a full moon. a) Calculate the gravitational force that the moon would exert on a 50.0-kg student in your physic's class. The moon is 3.84 x 108m from the Earth and has a mass of 7.35 x 1022kg. b) Does the moon attract the student with a force that is greater than, less than, or the same as, the force with which the student attracts the moon?

Homework Equations

F = G times m1 times m2 divided by d squared

or

F = G * m1 *m2 / d^2

The Attempt at a Solution

A) The force of attraction or the gravitational force between two objects is the product of the two masses divided by the distance between the two objects squared, all multiplied by the gravitational constant.

F = the force of attraction between two masses
G = gravitational constant
m1, m2 = the two masses
d = the distance between the two masses

F = G times m1 times m2 divided by d squared

or

F = G * m1 *m2 / d^2

so F = (6.67*10^-11)*(50)*(7.35*10^22) / (3.84*10^8)^2 then

F = 0.0016623433

B) They both attract each other the same amount

 

[kuruman]

The answer to (a) is incorrect. Try plugging in the numbers again.

 

[STrain]

The answer to (a) is incorrect. Try plugging in the numbers again.

Is A correct now? when i originally posted i put in 9. something by accident is the 6.38 correct?

 

[kuruman]

No, 6.38 (I assume Newtons) is not correct. Like I said, redo the calculation. Look at your expression, the numerator is on the order of 10¹⁴ and the denominator is on the order of 10¹⁶. You can't get an answer n the order of 1.

 

[STrain]

No, 6.38 (I assume Newtons) is not correct. Like I said, redo the calculation. Look at your expression, the numerator is on the order of 10¹⁴ and the denominator is on the order of 10¹⁶. You can't get an answer n the order of 1.

Thanks for the help, I realize that when squaring the denominator i was squaring just the ^8 instead of the whole problem and now that i fixed that I got

F = 0.0016623433

 

[kuruman]

That's about right.