Question

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

F = ma
(a) Solve this equation for a. Hint: Use what you learned about related equations (like fact families) to help you rearrange the expression F = ma to solve for a.
(b) Let the force be units and the mass be m = 5 units. What is the acceleration, a? Show your work.
(c) Let the force be F = 25 units and the acceleration be a = 2.5 units. What is the mass, m? Show your work.

Answer 1

(a)
`a= (F)/(m)`

(b)
`a = (1)/(5)` units.

(c) m = 10 units

Explanation:

Force (F), mass (m) and acceleration (a) are related by the equation F = ma.

(a) We have to solve this equation for a.

So, F = ma ........ (1)

⇒
`a= (F)/(m)` ..... (2) (Answer)

(b) If F = 1 units and m = 5 units, then from equation (1), we get

`a = (1)/(5)` units. (Answer)

(c) If F = 25 units and a = 2.5 units.

Then from equation (1), we get,

`m = (F)/(a) = (25)/(2.5) =10` units. (Answer)