A 5000 kg truck and a 1000 kg car are traveling at constant speeds when they collide. What is true about the forces and accelerations on each?

Respuesta :

Impact of truck will be more because it has more weight and more inertia
And you can apply that all stuff you read from book
So yeah

Force is the physical action that can give acceleration to a body upon which it is applied

The true statements about the forces and accelerations of each when they collide are;

  • The force acting on the truck is equals the reactive force of the car
  • The acceleration of the car is five times the acceleration of the truck

The reasons why the above statements are true are given as follows:

Known:

Mass of the truck, m₁ = 5,000 kg

Mass of the car, m₂ = 1,000 kg

Velocity of the truck = [tex]v_t[/tex]

Velocity of the car = [tex]v_c[/tex]

According to Newton's third law of motion, action and reaction are equal and opposite

  • The force applied by the truck, F = The reactive force by the car

Force, F = Mass, m × Acceleration, a

Let a₁ represent the acceleration of the truck and let a₂ represent the acceleration of the car, we have;

F = 5,000 × a₁ = 1,000 × a₂

[tex]a_2 = \dfrac{5,000 \ kg}{1,000 \ kg} \times a_1 = 5 \cdot a_1[/tex]

Therefore;

  • The acceleration (rate of change of velocity) of the car, a₂  due to the collision is five times the acceleration of the truck due to the collision

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