If the force acting on an object stays the same, then the acceleration of the object is inversely proportional to its mass. If an object with a mass of 9 kilograms accelerates at a rate of 6 meters per second per second by a force, find the rate of acceleration of an object with a mass of 2 kilograms that is pulled by the same force. These are my choices:

A. 3 meters per second per second
B. 27 meters per second per second
C. 18 meters per second per second
D. 24 meters per second per second

Question

If the force acting on an object stays the same, then the acceleration of the object is inversely proportional to its mass. If an object with a mass of 9 kilograms accelerates at a rate of 6 meters per second per second by a force, find the rate of acceleration of an object with a mass of 2 kilograms that is pulled by the same force. These are my choices:

A. 3 meters per second per second 	
B. 27 meters per second per second 	
C. 18 meters per second per second 	
D. 24 meters per second per second

welshfella · Answer

inverse proportion

A = k/m  where k is a constant

A = 6 and m = 9:

6 = k / 9

solve for k

welshfella · Answer

having found the value of k plug it into the formula then plug in m = 2 to work out the value of A

anonymous · Answer

Thank you so much!