Calculate the final velocity right after a 116-kg rugby player, who is initially running at 7.15 m/s, collides head-on with a padded goalpost and experiences a backward force of [tex]$1.81 \times 10^4 \, \text{N}$[/tex] for [tex]$5.50 \times 10^{-2} \, \text{s}$[/tex].

_____ m/s

Question

29-09-2024
Physics

High School

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Calculate the final velocity right after a 116-kg rugby player, who is initially running at 7.15 m/s, collides head-on with a padded goalpost and experiences a backward force of [tex]$1.81 \times 10^4 \, \text{N}$[/tex] for [tex]$5.50 \times 10^{-2} \, \text{s}$[/tex].

_____ m/s

Answer :

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reethu12 reethu12 · Answer 1 · 2024-07-04T07:47:00-04:00

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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Calculate the final velocity right after a 116-kg rugby player, who is initially running at 7.15 m/s, collides head-on with a padded goalpost and experiences a backward force of [tex]$1.81 \times 10^4 \, \text{N}$[/tex] for [tex]$5.50 \times 10^{-2} \, \text{s}$[/tex]._____ m/s

Answer :

Other Questions

Calculate the final velocity right after a 116-kg rugby player, who is initially running at 7.15 m/s, collides head-on with a padded goalpost and experiences a backward force of [tex]$1.81 \times 10^4 \, \text{N}$[/tex] for [tex]$5.50 \times 10^{-2} \, \text{s}$[/tex].

_____ m/s