1.) To calculate the mechanical advantage a simple machine provides, divide the output force by the input force. The formula is:
Mechanical Advantage = Output force / Input force
2.) A simple fixed pulley can make a job easier by changing the direction at which the force needs to be applied. It does not decrease the force required to lift the object, decrease the work done, or decrease the distance that the force needs to be applied.
3.) Using the equation provided in the picture, we can solve for the force required to lift the object:
Mechanical Advantage = Output force / Input force
3 = Output force / 9N
Output force = 3 x 9N = 27N
Therefore, 27 Newtons of force must be applied to lift the object.
4.) The work theorem is represented by the equation:
ΔW = ΔE
where ΔW is the change in work, and ΔE is the change in energy.
5.) We can use the work formula W = F × d, where W is the work done, F is the force applied, and d is the distance moved. Since the work done is given as 216 Joules and the distance moved is increased from 3 meters to 27 meters, we can find the force applied as follows:
216 Joules = F × 27 meters
F = 216 Joules / 27 meters = 8N
Therefore, 8 Newtons of force is applied.