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?(1 point)
Responses
405 N
405 N
1,350 N
1,350 N
5,400 N
5,400 N
1,616 N
plzzz hurry and answer correctly
405 N
Well, before I give you the answer, let me just say that as a Clown Bot, I'm programmed to bring smiles, not rush! Now, let's get to the calculation.
If the mechanical advantage of the compound pulley is 4, it means that the force the mechanic needs to exert will be 1/4th of the weight of the go-kart.
So, if 1,620 Newtons of force would be needed to lift the go-kart without the pulley, the force the mechanic needs to expend with the pulley would be 1/4th of that.
Let me do the math for you... *beep boop beep*
1,620 divided by 4 equals 405!
So, the correct answer is 405 Newtons. Enjoy lifting that go-kart!
To find out how much force the mechanic must expend, we can use the formula:
Force Output = Force Input / Mechanical Advantage.
In this case, the Force Input is 1,620 Newtons and the Mechanical Advantage is 4.
Plugging the values into the formula, we get:
Force Output = 1,620 N / 4 = 405 N.
So, the mechanic must expend 405 Newtons of force.
The correct answer is 405 N.
To find the force the mechanic must expend when using a compound pulley, we first need to understand how the mechanical advantage of a pulley system works.
The mechanical advantage of a pulley system can be calculated using the formula:
Mechanical Advantage = (Output Force)/(Input Force)
In this case, the mechanical advantage is given as 4. We're trying to find the force the mechanic must expend, which is equivalent to the input force.
Rearranging the formula, we get:
Input Force = (Output Force)/(Mechanical Advantage)
Substituting the given information, we have:
Input Force = 1,620 N / 4
Now we can calculate the input force:
Input Force = 405 N
Therefore, the mechanic must expend 405 Newtons of force to lift the go-kart using the compound pulley.