A force of 30 N is applied to a screwdriver to pry the lid off a can of paint. The screwdriver applies 75 N of force to the lid. What is the mechanical advantage of the screwdriver?
The mechanical advantage of the screwdriver can be calculated using the formula:
Mechanical Advantage = Force Applied to Lid / Force Applied to Screwdriver
In this case, the Force Applied to Lid is 75 N and the Force Applied to Screwdriver is 30 N.
So, the mechanical advantage of the screwdriver is:
Mechanical Advantage = 75 N / 30 N = 2.5
How did you get the answer? I dont understand
To find the mechanical advantage of the screwdriver, we need to compare the force applied to the lid (output force) to the force applied to the screwdriver (input force).
Given that the force applied to the lid is 75 N and the force applied to the screwdriver is 30 N, we can calculate the mechanical advantage using the formula:
Mechanical Advantage = Force Applied to Lid / Force Applied to Screwdriver
Plugging in the given values:
Mechanical Advantage = 75 N / 30 N
Simplifying the expression:
Mechanical Advantage = 2.5
So, the mechanical advantage of the screwdriver in prying the lid off the can of paint is 2.5. This means that for every 1 unit of force applied to the screwdriver, the screwdriver is able to generate 2.5 units of force on the lid.
still dont understand
I apologize for any confusion. Let me explain in a different way.
The purpose of a screwdriver in this context is to amplify the force applied to it in order to loosen the lid of the can. The mechanical advantage quantifies how much the screwdriver amplifies the force.
In this case, a force of 30 N is being applied to the screwdriver to pry open the lid. However, the screwdriver is able to generate a force of 75 N on the lid.
Mechanical Advantage = Force Applied to Lid / Force Applied to Screwdriver
Mechanical Advantage = 75 N / 30 N
Mechanical Advantage = 2.5
By dividing the force applied to the lid (75 N) by the force applied to the screwdriver (30 N), we find that the mechanical advantage of the screwdriver is 2.5.
This means that the screwdriver is able to multiply the force applied to it by a factor of 2.5, making it 2.5 times easier to loosen the lid of the can compared to directly applying the force without the screwdriver.