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Two cars A and B have masses mA and mB respectively, with mA > mB. Both the cars are moving in the same direction with equal kinetic energy. If equal braking force is applied on both, then before coming to rest
  • a)
    A will cover a greater distance
  • b)
    B will cover a greater distance
  • c)
    both will cover the same distance
  • d)
    distance covered by them will depend on their respective velocities
Correct answer is option 'B'. Can you explain this answer?
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Two cars A and B have masses mA and mB respectively, with mA > mB. ...
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Two cars A and B have masses mA and mB respectively, with mA > mB. ...
To find the ratio of their kinetic energies, we can use the formula for kinetic energy:

KE = 1/2 * mass * velocity^2

The ratio of their kinetic energies is given by:

KE_A / KE_B = (1/2 * mA * vA^2) / (1/2 * mB * vB^2)

Simplifying, we find:

KE_A / KE_B = (mA * vA^2) / (mB * vB^2)

Now we can substitute the given information:

mA = 2mB
vA = vB/2

Substituting these values into the equation, we get:

KE_A / KE_B = (2mB * (vB/2)^2) / (mB * vB^2)

Simplifying further, we find:

KE_A / KE_B = (mB * vB^2 / 2) / (mB * vB^2)

The mB and vB^2 terms cancel out, leaving us with:

KE_A / KE_B = 1/2

Therefore, the ratio of their kinetic energies is 1/2.
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Two cars A and B have masses mA and mB respectively, with mA > mB. Both the cars are moving in the same direction with equal kinetic energy. If equal braking force is applied on both, then before coming to resta)A will cover a greater distanceb)B will cover a greater distancec)both will cover the same distanced)distance covered by them will depend on their respective velocitiesCorrect answer is option 'B'. Can you explain this answer?
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Two cars A and B have masses mA and mB respectively, with mA > mB. Both the cars are moving in the same direction with equal kinetic energy. If equal braking force is applied on both, then before coming to resta)A will cover a greater distanceb)B will cover a greater distancec)both will cover the same distanced)distance covered by them will depend on their respective velocitiesCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Two cars A and B have masses mA and mB respectively, with mA > mB. Both the cars are moving in the same direction with equal kinetic energy. If equal braking force is applied on both, then before coming to resta)A will cover a greater distanceb)B will cover a greater distancec)both will cover the same distanced)distance covered by them will depend on their respective velocitiesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cars A and B have masses mA and mB respectively, with mA > mB. Both the cars are moving in the same direction with equal kinetic energy. If equal braking force is applied on both, then before coming to resta)A will cover a greater distanceb)B will cover a greater distancec)both will cover the same distanced)distance covered by them will depend on their respective velocitiesCorrect answer is option 'B'. Can you explain this answer?.
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