Question

A rock is thrown with a force of 500 N and an acceleration is 75 m/s^2. What is its mass?

A. 575 kg
B. 3.8 x 104 kg
C. 0.15 kg
D. 6.7 kg

Answer 1

We conclude that the mass of a rock with a force of 500 N and an acceleration of 75 m/s² is 6.7 kg.

Hence, option D is correct.

Step-by-step explanation:

Given

• Force F = 500 N

• Acceleration a = 75 m/s²

To determine

Mass m = ?

Important Tip:

• The mass of a rock can be found using the formula F = ma

Using the formula

`F = ma`

where

• F is the force (N)

• m is the mass (kg)

• a is the acceleration (m/s²)

now substituting F = 500, and a = 75 m/s² in the formula

`F = ma`

`500 = m(75)`

switch sides

`m\left(75\right)=500`

Divide both sides by 75

`(m\cdot \:75)/(75)=(500)/(75)`

simplify

`m=(20)/(3)`

`m=6.7` kg

Therefore, we conclude that the mass of a rock with a force of 500 N and an acceleration of 75 m/s² is 6.7 kg.

Hence, option D is correct.