Question

1. Sheila has just arrived at the airport and is dragging her suitcase to the luggage check-in desk. She pulls on the strap with a force of 190 N at an angle of 35° to the horizontal to displace it 45 m to the desk. Determine the work done by Sheila on the suitcase.

Answer 1

Given data:

Sheila pulls the strap with a force of $\mathsf{190}$ N at an angle $\mathsf{35^{\circ}}$ to the horizontal to displace it $\mathsf{45}$ m to the desk.

To find: work done by Sheila on the suitcase

Step-by-step explanation:

Let us define word done correctly first:

• Work done by a force is defined as

• $\quad \mathsf{Work=force\times displacement}$

• $\Rightarrow \mathsf{W=F\:d\:cos\theta}$

Given, $\mathsf{F=190}$ N, $\mathsf{d=45}$ m and $\mathsf{\theta=35^{\circ}}$

Putting these values, we get

$\quad \mathsf{W=190\times 45\times cos35^{\circ}}$

$\Rightarrow \mathsf{W=7003.75}$

Answer: work done is $\mathsf{7003.75}$ joule