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Read the following and answer any four questions from (i) to (iii)
The car A of mass 1500 kg, travelling at 25 m/s collides with another car B of mass 1000 kg travelling at 15 m/s in the same direction. After collision the velocity of car A becomes 20 m/s.
(1) What is the momentun. of the car A before collision? What is the momentum of the car B after collision? (iii) What is the total momentum of car A and car B after collision?
The car A of mass 1500 kg, travelling at 25 m/s collides with another car B of mass 1000 kg travelling at 15 m/s in the same direction. After collision the velocity of car A becomes 20 m/s.
(1) What is the momentun. of the car A before collision? What is the momentum of the car B after collision? (iii) What is the total momentum of car A and car B after collision?
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Read the following and answer any four questions from (i) to (iii)The ...
Below is a detailed breakdown of the momentum calculations for the cars involved in the collision.
Initial Momentum of Car A
- Momentum (p) is calculated using the formula:
p = mass × velocity
- For Car A (mass = 1500 kg, velocity = 25 m/s):
pA_initial = 1500 kg × 25 m/s = 37500 kg·m/s
Momentum of Car B After Collision
- To find the momentum of Car B, we first need to calculate its initial momentum and final velocity after the collision.
- Car B's initial momentum (mass = 1000 kg, velocity = 15 m/s):
pB_initial = 1000 kg × 15 m/s = 15000 kg·m/s
- The final velocity of Car B after the collision can be determined using the principle of conservation of momentum, but since it’s not explicitly given, we will assume it remains constant for this calculation.
- If the problem allows for the assumption of no other forces acting, we can find it using the total momentum before collision.
Total Momentum of Car A and Car B After Collision
- The total momentum before collision is:
pTotal_initial = pA_initial + pB_initial
pTotal_initial = 37500 kg·m/s + 15000 kg·m/s = 52500 kg·m/s
- After the collision, the momentum of Car A is:
pA_final = 1500 kg × 20 m/s = 30000 kg·m/s
- Assuming Car B’s final momentum can be calculated as follows:
pB_final = pTotal_initial - pA_final = 52500 kg·m/s - 30000 kg·m/s = 22500 kg·m/s
- Thus, the total momentum after collision is:
pTotal_final = pA_final + pB_final = 30000 kg·m/s + 22500 kg·m/s = 52500 kg·m/s
In conclusion, momentum is conserved in the system, and the total momentum before and after the collision remains the same.
Initial Momentum of Car A
- Momentum (p) is calculated using the formula:
p = mass × velocity
- For Car A (mass = 1500 kg, velocity = 25 m/s):
pA_initial = 1500 kg × 25 m/s = 37500 kg·m/s
Momentum of Car B After Collision
- To find the momentum of Car B, we first need to calculate its initial momentum and final velocity after the collision.
- Car B's initial momentum (mass = 1000 kg, velocity = 15 m/s):
pB_initial = 1000 kg × 15 m/s = 15000 kg·m/s
- The final velocity of Car B after the collision can be determined using the principle of conservation of momentum, but since it’s not explicitly given, we will assume it remains constant for this calculation.
- If the problem allows for the assumption of no other forces acting, we can find it using the total momentum before collision.
Total Momentum of Car A and Car B After Collision
- The total momentum before collision is:
pTotal_initial = pA_initial + pB_initial
pTotal_initial = 37500 kg·m/s + 15000 kg·m/s = 52500 kg·m/s
- After the collision, the momentum of Car A is:
pA_final = 1500 kg × 20 m/s = 30000 kg·m/s
- Assuming Car B’s final momentum can be calculated as follows:
pB_final = pTotal_initial - pA_final = 52500 kg·m/s - 30000 kg·m/s = 22500 kg·m/s
- Thus, the total momentum after collision is:
pTotal_final = pA_final + pB_final = 30000 kg·m/s + 22500 kg·m/s = 52500 kg·m/s
In conclusion, momentum is conserved in the system, and the total momentum before and after the collision remains the same.
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Read the following and answer any four questions from (i) to (iii)The car A of mass 1500 kg, travelling at 25 m/s collides with another car B of mass 1000 kg travelling at 15 m/s in the same direction. After collision the velocity of car A becomes 20 m/s. (1) What is the momentun. of the car A before collision? What is the momentum of the car B after collision? (iii) What is the total momentum of car A and car B after collision?
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Read the following and answer any four questions from (i) to (iii)The car A of mass 1500 kg, travelling at 25 m/s collides with another car B of mass 1000 kg travelling at 15 m/s in the same direction. After collision the velocity of car A becomes 20 m/s. (1) What is the momentun. of the car A before collision? What is the momentum of the car B after collision? (iii) What is the total momentum of car A and car B after collision? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Read the following and answer any four questions from (i) to (iii)The car A of mass 1500 kg, travelling at 25 m/s collides with another car B of mass 1000 kg travelling at 15 m/s in the same direction. After collision the velocity of car A becomes 20 m/s. (1) What is the momentun. of the car A before collision? What is the momentum of the car B after collision? (iii) What is the total momentum of car A and car B after collision? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following and answer any four questions from (i) to (iii)The car A of mass 1500 kg, travelling at 25 m/s collides with another car B of mass 1000 kg travelling at 15 m/s in the same direction. After collision the velocity of car A becomes 20 m/s. (1) What is the momentun. of the car A before collision? What is the momentum of the car B after collision? (iii) What is the total momentum of car A and car B after collision?.
Solutions for Read the following and answer any four questions from (i) to (iii)The car A of mass 1500 kg, travelling at 25 m/s collides with another car B of mass 1000 kg travelling at 15 m/s in the same direction. After collision the velocity of car A becomes 20 m/s. (1) What is the momentun. of the car A before collision? What is the momentum of the car B after collision? (iii) What is the total momentum of car A and car B after collision? in English & in Hindi are available as part of our courses for UPSC.
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