Write an equation that expresses the relationship. Use k as the constant of variation.
-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 15 kilograms accelerates at a rate of 2 meters per second per second by a force, find the rate of acceleration of an object with a mass of 3 kilograms that is pulled by the same force.
A) 10 meters per second per second
B) $\frac { 2 } { 5 }$ meters per second per second
C) 8 meters per second per second
D) 5 meters per second per second

Question

Write an equation that expresses the relationship. Use k as the constant of variation.
-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 15 kilograms accelerates at a rate of 2 meters per second per second by a force, find the rate of acceleration of an object with a mass of 3 kilograms that is pulled by the same force. 
A) 10 meters per second per second
B) $\frac { 2 } { 5 }$ meters per second per second
C) 8 meters per second per second
D) 5 meters per second per second

Quizplus · Accepted Answer

The relationship between force (F), mass (m), and acceleration (a) is given by Newton's second law, F = ma. Given that force is constant and acceleration is inversely proportional to mass, we can express this as a = k/m, where k is a constant. For a mass of 15 kg accelerating at 2 m/s^2, k = 15 * 2 = 30. For a mass of 3 kg with the same force, the acceleration would be a = 30 / 3 = 10 m/s^2.

Write an Equation That Expresses the Relationship 25\frac { 2 } { 5 }52​

Write an Equation That Expresses the Relationship $\frac { 2 } { 5 }$