Answer :
Mass, m = 116 kg
Initial velocity, u = 7.15 m/s
Backward force, F = 1.81 × 104 N
Duration, t = 5.50 × 10-2 s
The final velocity of an object can be calculated by the following formula:
vf = u + a*t
Where,
vf = final velocity,
u = initial velocity,
a = acceleration,
t = time elapsed
Initially, the rugby player was running at 7.15 m/s and when he collided with the padded goalpost, he experienced a backward force of 1.81 × 104 N for a duration of 5.50 × 10-2 s.
The force experienced by the rugby player will cause the deceleration of the rugby player which can be calculated by the formula given below:
F = m*a
a = F/m
Where,
m = 116 kg (mass of rugby player),
F = 1.81 × 104 N ( backword force experienced by rugby player)
By substituting the given values in the above equation,
a = 1.56 × 102 m/s2
Now, we can calculate the final velocity of rugby player as follows:
vf = u + a*t
By substituting the given values in the above equation,
vf = 7.15 - 1.56 × 102 * 5.50 × 10-2= 6.27 m/s
Therefore, the final velocity of rugby player is 6.27 m/s.
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