Question

A particle of 10kgin moving on a constant acceleration 2m/s² starting from rest what is it momentum and velocity when time is 1sec​

Answer 1

Answer:

Mass = 10kg

Initial Velocity(u) = 0m/s

Final Velocity(v) = ?

Acceleration(a) = 2m/s^{2}

We know that,

v = u + at

v = 0 + (2m/s^{2} x 2s)

v = 0 + ( 4m/s)

v = 4m/s

The velocity is 4m/s.

Now let's find Momentum(p)/

Momentum (p) = Mass(m) x Velocity (v)

Momentum (p) = 10kg x 4m/s

Momentum (p) = 40kg m/s

Therefore the momentum for the object is 40kg m/s.

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Answer 2

Answer:

• Momentum of the Particle is 20kgm/s.
• Velocity of the particle is 2m/s.

Explanation:

Given:-

• Mass ,m = 10 kg
• Acceleration ,a = 2m/s²
• Initial velocity ,u = 0m/s
• Time taken ,t = 1 s

To Find:-

• Momentum and Velocity.

Solution:-

Firstly we calculate the final velocity of the particles.

Using 1st Equation of Motion

• v = u +at

where,

• v is the final velocity
• a is the acceleration
• u is the initial velocity
• t is the time taken

Substitute the value we get

→ v = 0 + 2×1

→ v = 2 m/s

• Hence, the final velocity of the particle is 2 m/s.

Now, Calculating the momentum of the body.

Momentum can be calculated by the product of mass and velocity.

• p = mv

substitute the value we get

→ p = 10 × 2

→ p = 20kgm/s.

• Hence, the momentum of the particle is 20kgm/s.