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Force and acceleration

The force $$(F)$$ that acts on an object is equal to the product of its mass $$\Tblue{(m)}$$ and its acceleration $$\Tred{(a)}$$:

$$$ \begin{align*} \text{Force}&= \Tblue{\text{Mass}} \times \Tred{\text{Acceleration}}\\ F&= \Tblue{m} \times \Tred{a} \end{align*} $$$

The object accelerates in the direction of the force applied on it.

Pushing a trolley in the forward direction causes the trolley to accelerate in the forward direction.

A larger force is required to accelerate a larger mass by the same amount. Similarly, a larger force is required to accelerate the same mass by a larger amount.

The force required to roll a boulder is larger than the force needed to roll a beach ball.

A ball dropped from a cliff would take longer to hit the bottom than the same ball thrown downwards.

The force on this object and its acceleration point in the same direction
The force on this object and its acceleration point in the same direction