The momentum of a type of bumper car at an amusement park should not exceed 2100 kg×m/s to ensure the safety of the visitors to the park. If each bumper car has a mass of 780 kg, will the ride be safe if the bumper cars are limited to a top speed of 3 m/s

Respuesta :

Answer:

No, the ride will not be safe according to the standards mentioned in the question because the value of momentum exceeds.

Explanation:

Given:

  • magnitude of safe momentum of bumper cars, [tex]p=2100\ kg.m.s^{-1}[/tex]
  • mass of each bumper car, [tex]m=780\ kg[/tex]
  • top velocity of bumper car, [tex]v=3\ m.s^{-1}[/tex]

Now, we find the momentum of the car using the given mass and speed:

[tex]p'=m.v[/tex]

[tex]p'=780\times 3[/tex]

[tex]p'=2340\ kg.m.s^{-1}[/tex]

Therefore the ride will not be safe according to the standards mentioned in the question because the value of momentum exceeds.

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