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The driver of a 3 wheeler moving with a speed of 36km/hr sees a child standing in the middle of the road and brings his vehicle at rest in 0.4s just in time to save the child the avg retarding force on the vehicle is (the mass of the 3 wheeler is 400 kg and mass of the driver is 65kg?
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The driver of a 3 wheeler moving with a speed of 36km/hr sees a child ...
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The driver of a 3 wheeler moving with a speed of 36km/hr sees a child ...
Given data:
- Speed of the 3 wheeler, v = 36 km/hr = 10 m/s
- Time taken to bring the vehicle to rest, t = 0.4 s
- Mass of the 3 wheeler, m1 = 400 kg
- Mass of the driver, m2 = 65 kg
Calculating the initial momentum:
The initial momentum of the 3 wheeler and the driver can be calculated using the formula:
Initial momentum (p1) = (mass of the 3 wheeler + mass of the driver) × velocity
p1 = (m1 + m2) × v
= (400 kg + 65 kg) × 10 m/s
= 4650 kg m/s
Calculating the final momentum:
Since the vehicle comes to rest, the final momentum (p2) is zero.
Calculating the change in momentum:
The change in momentum (Δp) can be calculated using the formula:
Δp = p2 - p1
= 0 - 4650 kg m/s
= -4650 kg m/s
Calculating the average force:
The average force (F) exerted on the vehicle can be calculated using the formula:
F = Δp / t
F = (-4650 kg m/s) / (0.4 s)
= -11625 N
The negative sign indicates that the force is acting in the opposite direction of motion, providing the necessary retarding force to bring the vehicle to rest.
Answer:
The average retarding force on the 3 wheeler is 11625 N.
- Speed of the 3 wheeler, v = 36 km/hr = 10 m/s
- Time taken to bring the vehicle to rest, t = 0.4 s
- Mass of the 3 wheeler, m1 = 400 kg
- Mass of the driver, m2 = 65 kg
Calculating the initial momentum:
The initial momentum of the 3 wheeler and the driver can be calculated using the formula:
Initial momentum (p1) = (mass of the 3 wheeler + mass of the driver) × velocity
p1 = (m1 + m2) × v
= (400 kg + 65 kg) × 10 m/s
= 4650 kg m/s
Calculating the final momentum:
Since the vehicle comes to rest, the final momentum (p2) is zero.
Calculating the change in momentum:
The change in momentum (Δp) can be calculated using the formula:
Δp = p2 - p1
= 0 - 4650 kg m/s
= -4650 kg m/s
Calculating the average force:
The average force (F) exerted on the vehicle can be calculated using the formula:
F = Δp / t
F = (-4650 kg m/s) / (0.4 s)
= -11625 N
The negative sign indicates that the force is acting in the opposite direction of motion, providing the necessary retarding force to bring the vehicle to rest.
Answer:
The average retarding force on the 3 wheeler is 11625 N.
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The driver of a 3 wheeler moving with a speed of 36km/hr sees a child standing in the middle of the road and brings his vehicle at rest in 0.4s just in time to save the child the avg retarding force on the vehicle is (the mass of the 3 wheeler is 400 kg and mass of the driver is 65kg?
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The driver of a 3 wheeler moving with a speed of 36km/hr sees a child standing in the middle of the road and brings his vehicle at rest in 0.4s just in time to save the child the avg retarding force on the vehicle is (the mass of the 3 wheeler is 400 kg and mass of the driver is 65kg? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The driver of a 3 wheeler moving with a speed of 36km/hr sees a child standing in the middle of the road and brings his vehicle at rest in 0.4s just in time to save the child the avg retarding force on the vehicle is (the mass of the 3 wheeler is 400 kg and mass of the driver is 65kg? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The driver of a 3 wheeler moving with a speed of 36km/hr sees a child standing in the middle of the road and brings his vehicle at rest in 0.4s just in time to save the child the avg retarding force on the vehicle is (the mass of the 3 wheeler is 400 kg and mass of the driver is 65kg?.
The driver of a 3 wheeler moving with a speed of 36km/hr sees a child standing in the middle of the road and brings his vehicle at rest in 0.4s just in time to save the child the avg retarding force on the vehicle is (the mass of the 3 wheeler is 400 kg and mass of the driver is 65kg? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The driver of a 3 wheeler moving with a speed of 36km/hr sees a child standing in the middle of the road and brings his vehicle at rest in 0.4s just in time to save the child the avg retarding force on the vehicle is (the mass of the 3 wheeler is 400 kg and mass of the driver is 65kg? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The driver of a 3 wheeler moving with a speed of 36km/hr sees a child standing in the middle of the road and brings his vehicle at rest in 0.4s just in time to save the child the avg retarding force on the vehicle is (the mass of the 3 wheeler is 400 kg and mass of the driver is 65kg?.
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