Question

1. which of the following would have the greatest linear momentum?

a. a 1000 kg transport truck rolling at 5 km/h.
b. a 56 g tennis ball served at 120 km/h.
c. a 250 g goose feather falling to the ground at 3 m/s.
d. a 5 kg bowling ball traveling at 24 km/h.

Explanation:

Step1: Convert all velocities to m/s

• For option A: \(v = 5\space km/h=\frac{5\times1000}{3600}\space m/s\approx1.39\space m/s\)
• For option B: \(v = 120\space km/h=\frac{120\times1000}{3600}\space m/s\approx33.33\space m/s\)
• For option D: \(v = 24\space km/h=\frac{24\times1000}{3600}\space m/s\approx6.67\space m/s\)
• Option C velocity is already in m/s (\(v = 3\space m/s\))

Step2: Calculate linear momentum \(p=mv\)

• Option A: \(m = 1000\space kg\), \(p_A=1000\times1.39 = 1390\space kg\cdot m/s\)
• Option B: \(m = 56\space g=0.056\space kg\), \(p_B=0.056\times33.33\approx1.87\space kg\cdot m/s\)
• Option C: \(m = 250\space g = 0.25\space kg\), \(p_C=0.25\times3=0.75\space kg\cdot m/s\)
• Option D: \(m = 5\space kg\), \(p_D=5\times6.67 = 33.35\space kg\cdot m/s\)

Answer:

A. A 1000 kg transport truck rolling at 5 km/h.