Question

A 1581.64 kg tank runs out of brakes when it achieves a speed of 34.83 mi/hr. What linear momentum will you be experiencing?

Remember to perform the necessary conversions before solving.
Express your answer WITHOUT DECIMALS.

Answer 1

To solve this problem, we need to convert the given values to SI units (kilograms and meters per second) before calculating the linear momentum.

Conversions:
1 mile = 1609.34 meters (approximately)
1 hour = 3600 seconds (approximately)

Given:
Mass (m) = 1581.64 kg
Speed (v) = 34.83 mi/hr

Converting speed to meters per second:
Speed (v) = 34.83 mi/hr × 1609.34 m/mi ÷ 3600 s/hr ≈ 15.5406 m/s

Now we can calculate the linear momentum (p):

Linear Momentum (p) = mass (m) × velocity (v)

p = 1581.64 kg × 15.5406 m/s ≈ 24574 kg·m/s

Therefore, the linear momentum you will be experiencing is approximately 24574 kg·m/s.