Question

A halfback (m = 80 kg), a tight end (m = 100 kg), and a lineman (m = 120 kg) are running down the football field. Consider their ticker tape patterns below. The lineman's velocity is 3 m/s (right). The tight end's velocity is ______ m/s and the halfback's velocity is _______ m/s. Which player has the greatest momentum and how much momentum does he have? ___________________________ Explain.

Answer 1

Speed of Halfback is 9 m/s

Speed of Tight end is 6 m/s

greatest momentum is for Halfback which is equal to 720 kg m/s

Step-by-step explanation:

As we know that the ticker tape diagram is shown in the figure

Here each tick is regarding the displacement in 1 s

the velocity of lineman is given as 3 m/s

So here we can see that position of lineman after 2 s is same as position of tightend after 1 s

So displacement of tightend after t = 1 s is given as d = 3(2) = 6 m

so velocity of tightend is v = 6 m/s

Similarly the position of lineman after 3 s is same as position of halfback after 1 s

So displacement of halfback after t = 1 s is given as d = 3(3) = 9 m

so velocity of halfback is v = 9 m/s

Now momentum of lineman is given as

`P_(line) = 120(3) = 360 kg m/s`

momentum of halfback is given as

`P_(line) = 80(9) = 720 kg m/s`

momentum of tightend is given as

`P_(line) = 100(6) = 600 kg m/s`

So greatest momentum is for Halfback which is equal to 720 kg m/s