Question

Sue and Jenny kick a soccer ball at exactly the same time. Sue's foot exerts a force of28.85 N East. Jenny's foot exerts a force of 15.53 N North. What is the direction ofthe resultant force on the ball?

Answer 1

Answer:

The direction of the resultant force on the ball = 28.3°

Step-by-step explanation:

Sue's foot exerts a force of 28.85 N East

Jenny's foot exerts a force of 15.53 N North

This can be represented diagrammatically as:

The magnitude of the resultant force, R, is calculated using the Pythagora's theorem

`\begin{gathered} R^2=28.85^2+15.53^2 \\ R=\sqrt[]{28.85^2+15.53^2} \\ R=32.76N \end{gathered}`

The resultant force on the ball is 32.76N

The direction of the resultant force is given as:

`\begin{gathered} \theta\text{ =}\tan ^(-1)\text{ }(15.53)/(28.85) \\ \theta\text{ =}\tan ^(-1)\text{ }0.5383 \\ \theta=28.3^0 \end{gathered}`

The direction of the resultant force on the ball = 28.3°