Question

While pulling a bicycle out of the garage, you must pull it a total of 17 m with a force of 27 N. How much work are you doing on the bicycle?

Answer 1

Answer:

The Work  $W$ done by a Force $F$ refers to the release of potential energy from a body that is moved by the application of that force to overcome a resistance along a path.

It should be noted that it is a scalar magnitude, and its unit in the International System of Units is the Joule. Therefore, 1 Joule is the work done by a force of 1 Newton when moving an object, in the direction of the force, along 1 meter:

$1J=(1N)(1m)=Nm$

Now, when the applied force is constant and the direction of the force and the direction of the movement are parallel, the equation to calculate it is:

$W=(F)(d)$      (1)

When they are not parallel, both directions form an angle, let's call it $\alpha$. In that case the expression to calculate the Work is:

$W=Fdcos{\alpha}$     (2)

For example, in order to pull the bicycle out of the garage, you have to apply a force along the distance $d$ to overcome the resistance of the weight of the bicycle.

In this case both (the force and the distance in the path) are parallel, so the work $W$ performed is the product of the force $F$ by the distance traveled $d$, as shown in equation (1).

Hence:

$W=(27N)(17m)$  

$W=459Nm=459J$>>>>This is the work