Tuesday 5 February 2013

Momentum















Momentum


 

Momentum = mass x velocity                                          kgms-1 = kg x m/s

1.       A bowling ball has a mass of 10kg and a velocity of 15m/s. Calculate its momentum. 150 kgm/s

2.       A speed skater has a velocity of 15m/s and a mass of 65 kg. Calculate her momentum. 975 kgm/s

3.       A bullet of mass 0.068 kg traveling horizontally at a speed of 150 m/s. Calculate its momentum. 10.2 kgm/s

4.       The world record for bowling at cricket is 80 m/s. A cricket ball has a mass of 0.17kg. Calculate its momentum. 13.6 kgm/s

5.       A jumbo jet has a mass of 30 000 kg. Calculate its momentum at cruising speed of 300ms-1

2 x 10 4 kgm/s

6.       The Earth has a mass of 5.9742 × 1024 kg. Its orbital velocity is 29.8 km/s. Calculate its momentum. 1.73 x1029 kgm/s Jupiter has a mass of 1.8986×1027 kg and an orbital velocity of 13.06 km/s. Calculate its momentum. 2.48 x1031 kgm/s

7.       N2 has an atomic mass of 4.65173 x 10-26 kg.  Calculate its momentum if it has a velocity 500m/s 2.33 x 10-23 kgm/s

8.       A truck of mass 2kg travels at 8 m/s towards a stationary truck of mass 6kg. After the collision they stuck together and move off in the same direction. What is their common velocity?

16kgm/s = (2+6 kg)v so 8v = 16 and v =2 m/s

9.       A car of mass 2000kg, traveling at 10m/s, has a head on collision with a small sports car of mass 500kg. If both cars stop dead on colliding, what was the velocity of the sports car before the collision? Momentum after = 0 so (2000 x 10) + (500 x v) so 500v = 20000 and v = 40m/s

10.    A man wearing a bullet proof vest stands on roller skates. His total mass is 80kg. A bullet of mass 20g is fired at him at a speed of 400 m/s. If the bullet is stopped by the vest and falls to the ground, what velocity will the man move at? Momentum before = (0.02kg x 400) + 0 = 8kgm/s

Momentum after = 0 + (80kg x v) = 8 kgm/s  so 80v = 8 so v = 0.1m/s after being hit

How does your answer compare with “the movies”? They aren’t real. (but then you knew that)