Linear momentum – problems and solutions

1. An object travels at a constant 10 m/s. Calculate the linear momentum of the object.

Known :

Mass (m) = 1 kg

Velocity (v) = 10 m/s

Wanted : linear momentum (p)

Solution :

Formula of the linear momentum :

p = m v

p = linear momentum, m = mass, v = velocity

The linear momentum :

p = m v = (1)(10) = 10 kg m/s2

[irp]

2. A 2-kg block and a 4-kg blocks moves at a constant 20 m/s. What is the linear momentum of the blocks.

Known :

Mass of block A (mA) = 2 kg

Mass of block B (mB) = 4 kg

Velocity of block A (vA) = 20 m/s

Velocity of block B (vB) = 20 m/s

Wanted : Linear momentum of block A (pA) and linear momentum of block B (pB)

Solution :

Linear momentum of block A :

pA = mA vA = (2)(20) = 40 kg m/s

Linear momentum of block B :

pB = mB vB = (4)(20) = 80 kg m/s

[irp]

3. A 2-kg block moves at a constant 2 m/s and a 2-kg block moves at a constant 4 m/s. Determine the linear momentum of the blocks.

Known :

Mass of block A (mA) = 2 kg

Mass of block B (mB) = 2 kg

Velocity of block A (vA) = 2 m/s

Velocity of block B (vB) = 4 m/s

Wanted : the linear momentum of blocks

Solution :

Linear momentum of block A :

pA = mA vA = (2)(2) = 4 kg m/s

Linear momentum of block B :

pB = mB vB = (2)(4) = 8 kg m/s

[irp]

4. A 5-kg object at rest. What is the linear momentum of the momentum.

Known :

Mass (m) = 5 kg

Object’s velocity (v) = 0

Wanted : the linear momentum (p)

Solution :

p = m v = (5)(0) = 0

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  1. Linear momentum problems and solutions
  2. Momentum and impulse problems and solutions
  3. Perfectly elastic collisions in one dimension problems and solutions
  4. Perfectly inelastic collisions in one dimension problems and solutions
  5. Inelastic collisions in one dimension problems and solutions

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