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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