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A Smart Car, which has a mass of 1000 kg, is going 20 m/s. When it hits the barrier, it stops at a time of 0.5 seconds. What is the force on the car?

Respuesta :

Answer:

The force = F =  -40000 N

Explanation:

  • Mass m = 1000 kg
  • speed v₁ = 20 m/s
  • speed v₂ = 0 m/s
  • t = 0.5

We know that,

Calculating the acceleration

using the formula

a = (v₂ - v₁) / t

   = 0 - 20 / 0.5

  = -20 / 0.5

   = -40 ms⁻²

Thus, acceleration (deceleration) = a = -40 ms⁻²    

Note: negative sign gives us an idea the car is slowing down after a collision with the barrier, thus acceleration and velocity are in opposite direction.

We know that

F = ma

   = 1000 × -40

   = -40000 N

Thus, the force = F = -40000 N