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Back to the Practice QuizMechanical Advantage Question Answers
1)
MA=Fout/Fin
MA=97/36
MA=2.69

The mechanical advantage of the lever is 2.69.

2)
MA=Fout/Fin
8.7=Fout/7
Fout=7x8.7
Fout=60.9N

60.9N < 64N

No, he would need to exert more force to crack open the walnut.

3)
F=Mg
F=90(9.8)
F=882N

MA=Fout/Fin
MA=882/104
MA=8.48

The mechanical advantage of the ramp is 8.48.

4)
MA=Fout/Fin
MA=67/17
MA=3.94

The mechanical advantage of the pulley system is 3.94.

5)
MA=Fout/Fin
11.4=Fout/28
Fout=28x11.4
Fout=319.2N

It would take 319.2N of force to turn the car's wheels without the steering wheel.

Ideal Mechanical Advantage Question Answers1)IMA=din/doutIMA=0.36/1.04IMA=0.35
The IMA of his bike is 0.35.
2)IMA=din/dout0.32=12/doutdout=12/0.32dout=37.5cm
The clubhead would move 37.5 cm.
3)IMA=din/doutIMA=1.37/0.39IMA=3.51
IMA=din/dout3.51=din/1.16din=1.16x3.51din=4.07m
The effort arm was 4.07m long.
4) IMA=din/dout4.6=din/1.86din=1.86x4.6din=8.56m
Jose would have to push the cart 8.56m.
True/False Question Answers
1) F - There is not much friction on the small point of the fulcrum, so the MA and IMA are almost identical.2) T - You have to exert more force, but your bike goes further.3) T - An inclined plane has to have some slope, so there will always be an IMA greater than 1.4) F - There is always friction, so there is no such thing as a perfect machine.5) T - MA takes into account friction, but the IMA doesn't, so the IMA is always higher because friction makes you input more force.6) F - The input force is exerted onto the effort arm.
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