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Kinetic energy of a 3000 kg truck at a particular time is 15 Joule. What is the value of momentum of the truck at that moment?

a. 3 kgm/s
b. 30 kgm/s
c. 300 kgm/s
d. 3000 kgm/s

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Final answer:

The value of momentum of the truck at that moment is 300 kgm/s.

Step-by-step explanation:

The value of momentum can be found using the formula:

Momentum = mass × velocity

Given that the mass of the truck is 3000 kg and the kinetic energy is 15 Joule, we need to calculate the velocity of the truck first. Since kinetic energy is equal to 0.5 × mass × velocity^2, we can rearrange the formula to solve for velocity:

Velocity = square root of (2 × kinetic energy / mass)

Substituting the given values, we find:

Velocity = square root of (2 × 15 / 3000)

Velocity = square root of (30 / 3000)

Velocity = square root of (0.01)

Velocity ≈ 0.1 m/s

Now that we know the velocity, we can calculate momentum:

Momentum = mass × velocity

Momentum = 3000 kg × 0.1 m/s

Momentum = 300 kgm/s

Therefore, the value of momentum of the truck at that moment is 300 kgm/s (option c).

User KALITA
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