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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

Respuesta :

asifjavedofficial

Answer:

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.

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

[tex]F = ma[/tex]

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

[tex]F = ma[/tex]

[tex]500 = m(75)[/tex]

switch sides

[tex]m\left(75\right)=500[/tex]

Divide both sides by 75

[tex]\frac{m\cdot \:75}{75}=\frac{500}{75}[/tex]

simplify

[tex]m=\frac{20}{3}[/tex]

[tex]m=6.7[/tex] 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.

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