Question

A halfback on an apparent breakaway for a touchdown is tackled from behind. If the halfback has a mass of 98 kg and was moving at 4.2 m/s when he was tackled by an 85 kg cornerback running at 5.5 m/s in the same direction, what was their mutual speed immediately after the touchdown-saving tackle? m/s

Answer 1

Answer:

The mutual speed immediately after the touchdown-saving tackle is 4.80 m/s

Explanation:

Given that,

Mass of halfback = 98 kg

Speed of halfback= 4.2 m/s

Mass of corner back = 85 kg

Speed of corner back = 5.5 m/s

We need to calculate their mutual speed immediately after the touchdown-saving tackle

Using conservation of momentum

$m_{h}v_{h}+m_{c}v_{c}=m_{h+c}v_{h+c}$

Where, $m_{h}$= mass of halfback

$m_{c}$=mass of corner back

$v_{h}$= velocity of halfback

$v_{c}$= velocity of corner back

Put the value into the formula

$98\times4.2+85\times5.5=(98+85)\times v$

$v=\dfrac{98\times4.2+85\times5.5}{98+85}$

$v=4.80\ m/s$

Hence, The mutual speed immediately after the touchdown-saving tackle is 4.80 m/s

Answer 2

The mutual speed immediately after the touchdown-saving tackle is 4.80 m/s

Given that,

• If the halfback has a mass of 98 kg and was moving at 4.2 m/s when he was tackled by an 85 kg cornerback running at 5.5 m/s in the same direction

Calculation of mutual speed:

$98 \times 4.2 + 85 \times 5.5 = (98 + 85) \times v\\\\v = \frac{98 \times 4.2 + 85 \times 5.5}{98 + 85}$

v = 4.80 m/s

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