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A car of mass 1500 kg is moving in a straight road; increase its velocity uniformly from 10 ms¹ to 20ms¹. Find the work done during this change of velocity?
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A car of mass 1500 kg is moving in a straight road; increase its veloc...
Given data:
- Mass of the car (m) = 1500 kg
- Initial velocity (u) = 10 m/s
- Final velocity (v) = 20 m/s
Work done during the change of velocity:
Step 1: Calculate the change in velocity
Δv = v - u
Δv = 20 m/s - 10 m/s
Δv = 10 m/s
Step 2: Calculate the acceleration
Using the formula:
a = Δv / t
Assuming the change in velocity occurs over a time period of 1 second,
a = 10 m/s / 1 s
a = 10 m/s²
Step 3: Calculate the force acting on the car
Using Newton's second law:
F = m * a
F = 1500 kg * 10 m/s²
F = 15000 N
Step 4: Calculate the work done
Using the work-energy principle:
Work = F * s
where s is the distance traveled by the car during the change in velocity.
As the car is moving in a straight line and the force is acting in the direction of motion, work done is given by:
Work = F * d
Work = 15000 N * d
This is the detailed explanation of how to calculate the work done during the change in velocity of the car.
- Mass of the car (m) = 1500 kg
- Initial velocity (u) = 10 m/s
- Final velocity (v) = 20 m/s
Work done during the change of velocity:
Step 1: Calculate the change in velocity
Δv = v - u
Δv = 20 m/s - 10 m/s
Δv = 10 m/s
Step 2: Calculate the acceleration
Using the formula:
a = Δv / t
Assuming the change in velocity occurs over a time period of 1 second,
a = 10 m/s / 1 s
a = 10 m/s²
Step 3: Calculate the force acting on the car
Using Newton's second law:
F = m * a
F = 1500 kg * 10 m/s²
F = 15000 N
Step 4: Calculate the work done
Using the work-energy principle:
Work = F * s
where s is the distance traveled by the car during the change in velocity.
As the car is moving in a straight line and the force is acting in the direction of motion, work done is given by:
Work = F * d
Work = 15000 N * d
This is the detailed explanation of how to calculate the work done during the change in velocity of the car.
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A car of mass 1500 kg is moving in a straight road; increase its velocity uniformly from 10 ms¹ to 20ms¹. Find the work done during this change of velocity?
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A car of mass 1500 kg is moving in a straight road; increase its velocity uniformly from 10 ms¹ to 20ms¹. Find the work done during this change of velocity? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A car of mass 1500 kg is moving in a straight road; increase its velocity uniformly from 10 ms¹ to 20ms¹. Find the work done during this change of velocity? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car of mass 1500 kg is moving in a straight road; increase its velocity uniformly from 10 ms¹ to 20ms¹. Find the work done during this change of velocity?.
A car of mass 1500 kg is moving in a straight road; increase its velocity uniformly from 10 ms¹ to 20ms¹. Find the work done during this change of velocity? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A car of mass 1500 kg is moving in a straight road; increase its velocity uniformly from 10 ms¹ to 20ms¹. Find the work done during this change of velocity? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car of mass 1500 kg is moving in a straight road; increase its velocity uniformly from 10 ms¹ to 20ms¹. Find the work done during this change of velocity?.
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