Car B of mass 1200 kg is stationary. Car of mass 20 kg is travelling towards car B at 18 m/s. The cars collide and car B experiences an impulse. car A continues to move in the same direction, with a momentum of 21000 kgm/s. (i) calculate the momentum of car B immediately after the Collision. (II) Determine the average impulse experienced by car b during the Collision. (III) The cars are in contact for 0.20 s. Calculate the average resultant force experienced by car B during the collsion
Question
Car B of mass 1200 kg is stationary. Car of mass 20 kg is travelling towards car B at 18 m/s. The cars collide and car B experiences an impulse. car A continues to move in the same direction, with a momentum of 21000 kgm/s. (i) calculate the momentum of car B immediately after the Collision. (II) Determine the average impulse experienced by car b during the Collision. (III) The cars are in contact for 0.20 s. Calculate the average resultant force experienced by car B during the collsion
Solution
(i) To calculate the momentum of car B immediately after the collision, we can use the principle of conservation of momentum. The total momentum before the collision is equal to the total momentum after the collision.
The momentum of car A before the collision is given as 21000 kgm/s. Since car B is stationary, its initial momentum is 0 kgm/s.
Therefore, the total momentum before the collision is 21000 kgm/s.
After the collision, car A continues to move in the same direction, so its momentum remains the same at 21000 kgm/s.
To find the momentum of car B after the collision, we subtract the momentum of car A from the total momentum before the collision:
Momentum of car B = Total momentum before collision - Momentum of car A = 21000 kgm/s - 21000 kgm/s = 0 kgm/s
Therefore, the momentum of car B immediately after the collision is 0 kgm/s.
(ii) The average impulse experienced by car B during the collision can be calculated using the formula:
Impulse = Change in momentum
Since car B is initially stationary, its initial momentum is 0 kgm/s. After the collision, its momentum becomes 0 kgm/s. Therefore, the change in momentum is:
Change in momentum = Final momentum - Initial momentum = 0 kgm/s - 0 kgm/s = 0 kgm/s
Therefore, the average impulse experienced by car B during the collision is 0 kgm/s.
(iii) The average resultant force experienced by car B during the collision can be calculated using the formula:
Average force = Impulse / Time
We have already calculated the impulse as 0 kgm/s. The time for which the cars are in contact is given as 0.20 s.
Therefore, the average resultant force experienced by car B during the collision is:
Average force = 0 kgm/s / 0.20 s = 0 N
Therefore, the average resultant force experienced by car B during the collision is 0 N.
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