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A student wants to use a ramp to move boxes into a truck bed that is 3 m high. He
has a choice of 2 different ramps. The length of one ramp is 4m, and the length of
the other ramp is 6m.
A. 6m, because he has to apply more force over a greater distance.
B. 4m, because he has to apply less force over a greater distance
C. 6m, because he has to apply less force over a greater distance.
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D.
4m, because he has to apply more force over a greater distance

Respuesta :

Answer:

B

Explanation:

onyebuchinnaji

The best choice is 6m, because he has to apply less force over a greater distance.

The given parameters;

  • height of the ramp, h = 3 m
  • length of the first ramp = 4 m
  • length of the second ramp = 6 m

The mechanical advantage of the each of the choices is calculated as follows;

First choice:

[tex]M.A = \frac{l_1}{h} \\\\M.A = \frac{4}{3} \\\\M.A = 1.333[/tex]

Second choice:

[tex]M.A = \frac{l_2}{h} \\\\M.A = \frac{6}{3} \\\\M.A = 2[/tex]

Thus, we can conclude that the best choice is 6m, because he has to apply less force over a greater distance.

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