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course PHY 201

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Question: `qQuery gen phy 7.19 95 kg fullback 4

m/s east stopped in .75 s by tackler due west

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Your solution:

Fullback momentum equal 95kg*4m/s=380kg*m/s

Fnet*'dt=m*vf-m*v0

Fnet=(0kg*m/s - 380kg*m/s)/.75s

Fnet of tackler = 506kg*m/s^2 or -506N

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Given Solution:

`a** We'll take East to be the positive

direction.

The original magnitude and direction of the

momentum of the fullback is

p = m * v1 = 115kg (4m/s) = 380 kg m/s. Since

velocity is in the positive x direction the

momentum is in the positive x direction, i.e.,

East.

The magnitude and direction of the impulse

exerted on the fullback will therefore be

impulse = change in momentum or

impulse = pFinal - pInitial = 0 kg m/s - 380 kg

m/s = -380 kg m/s.

Impulse is negative so the direction is in the

negative x direction, i.e., West.

Impulse = Fave * `dt so Fave = impulse / `dt.

Thus the average force exerted on the fullback

is

Fave = 'dp / 'dt = -380 kg m/s /(.75s) = -506 N

The direction is in the negative x direction,

i.e., West.

The force exerted on the tackler is equal and

opposite to the force exerted on the fullback.

The force on the tackler is therefore + 506 N.

The positive force is consistent with the fact

that the tackler's momentum change in positive

(starts with negative, i.e., Westward, momentum

and ends up with momentum 0).

The impulse on the tackler is to the East. **

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