Question

The following formula relates three quantities: Force (F), mass (m), and acceleration (a).

F = ma

(a) Solve this equation for a.

(b) Let the force be F= -25 units and the mass be m = 5 units. What is the acceleration, a?

(c) Let the force be F = 25 units and the acceleration be a = 2.5 units. What is the mass, m?

Answer 1

Explanation:

(a) So in order to find acceleration you would have to transpose the formula given so that acceleration is the subject of the equation;

F=ma

Because mass is multiplying acceleration to transpose this so that "a" is the subject you would do the opposite of Multiplication on the other side;

F=ma

a/f=m

a=fm

This now has "a" as the subject.

(b) This is the formula we will be working with ( a=fm) because this problem requires "a" to be the subject of the equation.

a=fm

a= -25 units × 5 units

a= -125 units

(c)The same rule applies mass is suppose to be the subject of the equation .

F=ma

m/f=a

m=fa

m = 25 units × 2.5 units

m = 62.5 units