Question

You are accelerating a mass of 2500 kg. if you quadruple the force applied what happens to the acceleration?

Answer 1

If you quadruple the force applied, the acceleration will also be quadrupled

Relationship between acceleration and force

Acceleration is related to force according to the formula:

F = ma

Where

• F is the force
• m is the mass
• a is the acceleration

F = ma

Divide both sides by a

F / a = m

m = constant

Thus,

F₁ / a₁ = F₂ / a₂

How to determine the new acceleration

• Initial force (F₁) = F
• Initial acceleration (a₁) = a
• New force (F₂) = 4F
• New acceleration (a₂) = ?

The new acceleration can be obtained as illustrated below:

F₁ / a₁ = F₂ / a₂

F / a = 4F / a₂

Cross multiply

Fa₂ = 4aF

Divide both side by F

a₂ = 4aF / F

a₂ = 4a

Thus, the new acceleration will also be quadrupled

Learn more force and acceleration:

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