Answered

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

F = ma

ASolve this equation for a.
BLet the force be units and the mass be m = 10 units. What is the acceleration, a?
CLet the force be F = 25 units and the acceleration be a = 5 units. What is the mass, m?

Verified Answer :

growl

(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 =

calculista

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

\(m=5\)

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