Question

2. 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 units and the mass be m = 10 units. What is the acceleration, a?
(c) Let the force be F = 25 units and the acceleration be a = 5 units. What is the mass, m?

Answer 1

(A): Divide each side by m and you will get
`(F)/(m) = a`

(B): (You didn't tell me the units of force, so I can't give you the answer)

(C): m =

Answer 2

Let

F--------> represent the force

m--------> represent the mass

a-------> represent the acceleration

we know that

The formula that relates three quantities: Force (F), mass (m), and acceleration (a) is equal to

`F=ma`

Part a) Solve this equation for a

`F=ma`

Divide both sides by the mass

`a=(F)/(m)`

therefore

the answer part a) is equal to

`a=(F)/(m)`

Part b) Let the force be 25 units and the mass be m = 10 units. What is the acceleration, a?

we know that

the formula of acceleration is equal to

`a=(F)/(m)`

in this problem

we have

`F=25\\m=10`

Substitute the values n the formula

`a=(25)/(10)`

`a=2.5`

therefore

the answer part b( is equal to

`a=2.5`

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

we know that

`F=ma`

Solve for m

Divide both sides by the acceleration

`m=(F)/(a)`

in this problem

we have

`F=25\\a=5`

Substitute the values n the formula

`m=(25)/(5)`

`m=5`

therefore

the answer Part c) is

`m=5`