a 5,000 Kg monster truck is traveling at 11 m/s. when it sees an obstacle it is going to crush during the Monster truck rally, it speeds up to 18 m/s. how much has the kinetic energy of the truck increased during this time?
A). 302,500
B). 507,500
C). 810,000
D). 120,600

Respuesta :

The change in the kinetic energy of the monster truck during the time is 507500 J and the right option is B). 507500

What is kinetic energy?

Kinetic energy is the energy of a body due to its motion.

To calculate the increase in the kinetic energy of the monster truck, we use the formula below.

Formula:

  • ΔK.E = m(v²-u²)/2............. Equation 1

Where:

  • ΔK.E = Increase in kinetic energy of the monster truck
  • m = mass of the monster truck
  • v = final velocity of the monster truck
  • u = initial velocity of the monster truck.

From the question,

Given:

  • m = 5000 kg
  • v = 18 m/s
  • u = 11 m/s.

Substitute these values into equation 1

  • ΔK.E = 5000(18²-11²)/2
  • ΔK.E = 2500(324-121)
  • ΔK.E = 2500(203
  • ΔK.E = 507500 J

Hence, The increase in the kinetic energy of the monster truck during the time is 507500 J and the right option is B). 507500.
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