find the magnitude of the linear momentum of (a)7.1-kg bowling ball traveling at 12 m/s and(b)a 1200-kg automobile traveling 90-km/h
To find the magnitude of linear momentum, we can use the formula:
Momentum (p) = mass (m) * velocity (v)
Let's calculate the magnitude of linear momentum for the given situations:
(a) The mass of the bowling ball is given as 7.1 kg, and its velocity is 12 m/s.
Momentum (p) = mass (m) * velocity (v)
= 7.1 kg * 12 m/s
= 85.2 kg·m/s
Therefore, the magnitude of linear momentum for the bowling ball is 85.2 kg·m/s.
(b) The mass of the automobile is given as 1200 kg, and its velocity is 90 km/h.
First, we need to convert the velocity from km/h to m/s.
1 km/h = 1000 m/3600 s ≈ 0.278 m/s
Velocity (v) = 90 km/h * 0.278 m/s
= 25.02 m/s
Momentum (p) = mass (m) * velocity (v)
= 1200 kg * 25.02 m/s
= 30,024 kg·m/s
Therefore, the magnitude of linear momentum for the automobile is 30,024 kg·m/s.