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 $\frac{F}{m} = a$

(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

$a=\frac{F}{m}$

therefore

the answer part a) is equal to

$a=\frac{F}{m}$

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

$a=\frac{F}{m}$

in this problem

we have

$F=25\\m=10$

Substitute the values n the formula

$a=\frac{25}{10}$

$a=2.5$

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

$m=\frac{F}{a}$

in this problem

we have

$F=25\\a=5$

Substitute the values n the formula

$m=\frac{25}{5}$

$m=5$

therefore

the answer Part c) is

$m=5$