Force equation

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Force equation
Force equation

The force equation states that the force (F) acting on an object is equal to the product of its mass (m) and acceleration (a). Mathematically represented as F = m × a, this equation is used to calculate the amount of force exerted on an object.

Practice problems

Problem #1

Determine the force required to accelerate a 5 kg box at the rate of 10 m/s2.

Solution

Given data:

  • Force acting on a box, F = ?
  • Mass of a box, m = 5 kg
  • Acceleration of a box, a = 10 m/s2

Applying the formula:

  • F = m × a
  • F = 5 × 10
  • F = 50 N

Therefore, the force required to accelerate a 5 kg box at the rate of 10 m/s2 is 50 N.

Problem #2

What is the force acting on a football with a mass of 450 grams when it is accelerating at a rate of 20 m/s2?

Solution

Given data:

  • Force acting on a football, F = ?
  • Mass of a football, m = 450 gm = 0.45 kg
  • Acceleration of a football, a = 20 m/s2

Applying the formula:

  • F = m × a
  • F = 0.45 × 20
  • F = 9 N

Therefore, the force acting on a football is 9 N.

Problem #3

Calculate the force acting on a 2 kg bowling ball that is experiencing an acceleration of 18 m/s2.

Solution

Given data:

  • Force acting on a bowling ball, F = ?
  • Mass of a bowling ball, m = 2 kg
  • Acceleration of a bowling ball, a = 18 m/s2

Applying the formula:

  • F = m × a
  • F = 2 × 18
  • F = 36 N

Therefore, the value of force acting on a bowling ball is 36 N.

Problem #4

If a rubber tire with a mass of 1 kg accelerates at a rate of 6 m/s2, what is the magnitude of the force acting on it?

Solution

Given data:

  • Mass of a rubber tire, m = 1 kg
  • Acceleration of a rubber tire, a = 6 m/s2
  • Force acting on a rubber tire, F = ?

Applying the formula:

  • F = m × a
  • F = 1 × 6
  • F = 6 N

Therefore, the value of force acting on a rubber tire is 6 N.

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