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svetlana
25 days ago
11

A scared elephant has a mass of 7000 kg. The mouse that frightened the elephant is 0.02 kg. The distance between the elephant an

d the mouse is 1 meter.
a. How much gravitational force does the elephant exert on the mouse?

b. How much gravitational force does the mouse exert on the elephant?

Remember to identify all data (givens and unknowns), list equations used, show all your work, and include units and the proper number of significant digits to receive full credit.
Physics
1 answer:
Maru [3.2K]25 days ago
6 0

a. 9.34\cdot 10^{-9} N

The equation for the gravitational force acting between two masses is given by:

F=G\frac{Mm}{r^2}

where

G represents the gravitational constant

M and m refer to the masses of the two objects

r indicates the distance separating the objects

In this scenario, we have:

M = 7000 kg, the elephant's mass

m = 0.02 kg, the mouse's mass

r = 1 m, the distance between them

Plugging these values into the equation will allow us to compute the gravitational force that the elephant applies on the mouse:

F=(6.67\cdot 10^{-11}) \frac{(7000)(0.02)}{1^2}=9.34\cdot 10^{-9} N

b. -9.34\cdot 10^{-9}N

The next part can be tackled by recalling Newton’s third law, which asserts that:

"When object A applies a force (action) on object B, object B simultaneously applies an equivalent and opposite force (reaction) on object A". In this illustration, the elephant is object A and the mouse is object B: thus, the gravitational force from the elephant on the mouse is the action, while the force from the mouse on the elephant acts as the reaction. Both forces match in magnitude yet differ in direction: therefore, the gravitational force the mouse exerts on the elephant can be expressed as

F=-9.34\cdot 10^{-9}N

where the negative signifies an opposite direction.

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