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Direction: Read the following paragraph and choose the correct options to answer any four questions given below :


A large bus and a van, both moving with a velocity of magnitude v, have a head-on-collision and both the vehicles stop after the collision. The time of the collision is 1 sec.


Q. The vehicle, which experiences smaller force of impact is ....................

  • a)
    Bus

  • b)
    Van

  • c)
    Van and Bus both

  • d)
    There will not be any effect on any of the vehicle

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Direction: Read the following paragraph and choose the correct options...
The vehicle, which experiences smaller force of impact is Bus.
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Most Upvoted Answer
Direction: Read the following paragraph and choose the correct options...
Explanation:

1. Understanding the scenario
In the given scenario, a large bus and a van are moving towards each other with a velocity of magnitude v. They have a head-on collision and both vehicles stop after the collision. The time of the collision is given as 1 second.

2. Force of impact
The force of impact during a collision depends on the change in momentum of the objects involved. The change in momentum is given by the equation Δp = m * Δv, where Δp is the change in momentum, m is the mass of the object, and Δv is the change in velocity.

3. Comparing the vehicles
Since both the van and the bus experience the same change in velocity (from v to 0), the change in momentum will depend on the mass of the vehicles. Let's assume the mass of the van is m1 and the mass of the bus is m2.

4. Identifying the vehicle with smaller force of impact
To determine which vehicle experiences a smaller force of impact, we need to compare the masses of the van and the bus. Since the time of the collision is the same for both vehicles, the force of impact can be calculated using the equation F = Δp / Δt, where F is the force, Δp is the change in momentum, and Δt is the time interval.

5. Calculation
Since we know that both vehicles stop after the collision, the change in velocity for both vehicles is v - 0 = v. Therefore, the change in momentum for the van is Δp1 = m1 * v and the change in momentum for the bus is Δp2 = m2 * v.

6. Comparing the forces of impact
The force of impact on the van can be calculated as F1 = Δp1 / Δt = (m1 * v) / 1 = m1 * v. Similarly, the force of impact on the bus can be calculated as F2 = Δp2 / Δt = (m2 * v) / 1 = m2 * v.

7. Conclusion
Since the force of impact is directly proportional to the mass of the vehicles, the vehicle with the smaller mass will experience a smaller force of impact. Therefore, the vehicle that experiences a smaller force of impact in this scenario is the van.
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Direction: Read the following paragraph and choose the correct options to answer any four questions given below :A large bus and a van, both moving with a velocity of magnitude v, have a head-on-collision and both the vehicles stop after the collision. The time of the collision is 1 sec.Q. The vehicle, which experiences smaller force of impact is ....................a)Busb)Vanc)Van and Bus bothd)There will not be any effect on any of the vehicleCorrect answer is option 'A'. Can you explain this answer?
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Direction: Read the following paragraph and choose the correct options to answer any four questions given below :A large bus and a van, both moving with a velocity of magnitude v, have a head-on-collision and both the vehicles stop after the collision. The time of the collision is 1 sec.Q. The vehicle, which experiences smaller force of impact is ....................a)Busb)Vanc)Van and Bus bothd)There will not be any effect on any of the vehicleCorrect answer is option 'A'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction: Read the following paragraph and choose the correct options to answer any four questions given below :A large bus and a van, both moving with a velocity of magnitude v, have a head-on-collision and both the vehicles stop after the collision. The time of the collision is 1 sec.Q. The vehicle, which experiences smaller force of impact is ....................a)Busb)Vanc)Van and Bus bothd)There will not be any effect on any of the vehicleCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Read the following paragraph and choose the correct options to answer any four questions given below :A large bus and a van, both moving with a velocity of magnitude v, have a head-on-collision and both the vehicles stop after the collision. The time of the collision is 1 sec.Q. The vehicle, which experiences smaller force of impact is ....................a)Busb)Vanc)Van and Bus bothd)There will not be any effect on any of the vehicleCorrect answer is option 'A'. Can you explain this answer?.
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