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3. A halfback (m = 60 kg), a tight end (m = 90 kg), and a lineman (m = 120 kg) are running down the football field. Consider their ticker tape patterns below. Compare the velocities of these three players. How many times greater are the velocity of the halfback and the velocity of the tight end than the velocity of the lineman? Which player has the greatest momentum?

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Chrisnando

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Answer:

• [tex]V_L = 3m/s; V_t = 6m/s; V_h = 9m/s [/tex]

• Velocity of tightend is 2times greater than that of linesman while velocity of halfback is thrice that of linesman.

• The halfback and tightend have the greatest momentum.

Explanation:

We are given:

[tex]V_l_i_n_e_s_m_a_n[/tex] = 3m/s

Therefore, considering the fact the distance covered by the tightend is twice that of the linesman in same period of time, it means the speed of tightend is 2 times faster than the linesman, the velocity of the tight end will be:

[tex]V_t [/tex]= 2 * 3m/s = 6m/s

For the halfback:

The distance covered by the halfback is 3times that covered by the linesman in same period of time, it means the speed of the halfback is thrice greater than that of the linesman.

Therefore, the velocity of the half back will be:

[tex]V_h[/tex] = 3 * 3m/s = 9m/s

• To find momentum, we use:

P = m * v

Therefore,

Momentum for halfback:

[tex]M_h [/tex] = 60kg, v = 9m/s

= 60kg * 9m/s = 540kg.m/s

Momentum for tightend =

90kg * 6m/s = 540kg.m/s

Momentum for linesman=

120kg * 3m/s = 360kg.m/s

We can see that the tightend and halfback have the greatest momentum, with a momentum of 540kg.m/s. While the linesman has the lowest momentum, with a momentum of 360kg.m/s

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onyebuchinnaji

The velocity of the halfback is 3 times greater and the velocity of the tight end is 2 times greater than the velocity of lineman.

The halfback and the tight end have the greatest momentum.

The given parameters:

  • Mass of half back, m = 60 kg
  • Tight end, = 90 kg
  • Mass of lineman, m = 120 kg

The velocities of the players are given below;

  • The velocity of the lineman = 3m/s
  • The tight end covered a distance 2 times greater, the velocity = 2(3) = 6 m/s
  • The halfback covered a distance 3 times greater, velocity = 3(3) = 9 m/s

The momentum of the players is calculated as follows;

  • The momentum of the lineman = 3 x 120 = 360 kgm/s.
  • The momentum of the tight end, = 6 x 90 = 540 kgm/s
  • The momentum of the halfback = 60 x 9 = 540 kgm/s.

Thus, the halfback and the tight end have the greatest momentum.

Learn more about momentum here: https://brainly.com/question/7538238

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