A 15\text{ kg} sled slides across a smooth ice rink at a constant velocity of 4\text{ m/s}… — Armed Services Vocational Aptitude Battery (ASVAB)

A $15\text{ kg}$ sled slides across a smooth ice rink at a constant velocity of $4\text{ m/s}$ . What is the magnitude of the sled's momentum in kilogram-meters per second ( $\text{kg}\cdot\text{m/s}$ )?

Answer: 60 kg·m/s

Answer

60 kg·m/s

Linear momentum is calculated using the formula

p = m \times v

. For an object with a mass of

15\text{ kg}

moving at

4\text{ m/s}

, the momentum is

15\text{ kg} \times 4\text{ m/s} = 60\text{ kg}\cdot\text{m/s}

Step-by-Step Solution

Identify the given mass and velocity values.

m = 15\text{ kg}

and

v = 4\text{ m/s}

Linear momentum depends directly on an object's mass and its velocity.

Apply the momentum formula

p = m \times v

p = 15\text{ kg} \times 4\text{ m/s} = 60\text{ kg}\cdot\text{m/s}

Multiplying mass by velocity calculates the magnitude of linear momentum.

Key Concept

Linear momentum is the product of an object's mass and its velocity (

p = mv

Estimated Time:45s

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