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
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