An archer puts a 0.30-kg arrow to the bowstring. An average force of 201 N is exerted to draw the string back 1.3 m. Assuming th

Question

3 years ago

15

at all the energy goes into the arrow, with what speed does the arrow leave the bow?

2 answers:

Thepotemich [5.8K] · Answer 1 · 2022-03-21T01:35:46+03:00

8 0

Explanation:

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vovikov84 [41] · Answer 2 · 2022-03-21T00:31:36+03:00

Answer:

41.74 m/s

Explanation:

The energy used to draw the bowstring = the kinetic energy of the arrow.

Fd = 1/2mv²................................ Equation 1

Where F = force, d = distance move string, m = mass of the arrow, v = speed of the arrow.

make v the subject of the equation

v = √(2Fd/m)...................... Equation 2

Given: F = 201 N, m = 0.3 kg, d = 1.3 m.

Substitute into equation 2

v = √(2×201×1.3/0.3)

v = √(1742)

v = 41.74 m/s.

Hence the arrow leave the bow with a speed of 41.74 m/s