A mechanic wants to use a compound pulley to lift a go-kart from the ground to work table, a distance of 1.2 meters. Without the pulley, 1,620 Newtons of force would be needed to lift the go-kart. If the pulley has a mechanical advantage of 4, how much force must the mechanic expend?
To determine the force the mechanic must expend using a compound pulley with a mechanical advantage of 4, we can use the equation:
Force required = Force to be lifted / Mechanical advantage
In this case, the force to be lifted is given as 1,620 Newtons, and the mechanical advantage is 4.
So, the force the mechanic must expend can be calculated as follows:
Force required = 1,620 N / 4
Force required = 405 N
Therefore, the mechanic must expend a force of 405 Newtons to lift the go-kart using the compound pulley.
To find out how much force the mechanic must expend, we need to use the concept of mechanical advantage.
The mechanical advantage of a pulley system is given by the formula: Mechanical Advantage = Load / Effort
In this case, the load refers to the force required to lift the go-kart without the pulley, which is 1,620 Newtons. The effort refers to the force the mechanic must exert.
Given that the pulley has a mechanical advantage of 4, we can set up the equation:
4 = 1,620 Newtons / Effort
To find the effort, we can rearrange the equation:
Effort = 1,620 Newtons / 4
Calculating this, we get:
Effort = 405 Newtons
Therefore, the mechanic must exert a force of 405 Newtons to lift the go-kart using the compound pulley system.
To find the force the mechanic must expend, we need to use the formula:
input force * mechanical advantage = output force
Let x be the force the mechanic must expend. Then:
1,620 N * 4 = x
Simplifying:
6,480 N = x
Therefore, the mechanic must expend 6,480 Newtons of force to lift the go-kart using the compound pulley.