Question

5. A 5.0 kg object accelerates uniformly from rest for 5.0 s and reaches a final velocity of 20.0 m/s. At 3.0 s, what is the object's momentum?

Answer 1

A 5.0 kg object with a uniform acceleration of 4.0 m/s² has a momentum of 60. kg.m/s at 3.0 s.

What is momentum?

Momentum is the quantity of motion of a moving body, measured as a product of its mass and velocity.

• Step 1: Calculate the acceleration of the object.

The object accelerates from rest to 20.0 m/s in 5.0 s.

Acceleration (a) is the change in velocity (v) over time (t).

a = Δv / t = (20.0 m/s - 0 m/s) / 5.0 s = 4.0 m/s²

• Step 2: Calculate the velocity at 3.0 s.

We will use the following suvat equation.

v = u + a . t = 0 m/s + 4.0 m/s² . 3.0 s = 12 m/s

• Step 3: Calculate the momentum (p) of the object at 3.0 s.

We will use the definition of momentum.

p = m . v = 5.0 kg . 12 m/s = 60. kg.m/s

A 5.0 kg object with a uniform acceleration of 4.0 m/s² has a momentum of 60. kg.m/s at 3.0 s.

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