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A body undergoes a displacement of 2m on application of a constant force of 10N; the work done will be:
0 J
2 J
10 J
20 J
20 J
Work done is defined as the product of the magnitude of the force applied and the displacement of the body in the direction of the force. By substituting the given values, we calculate the total energy transferred to the object.
Work done is defined as the product of the magnitude of the force applied and the displacement of the body in the direction of the force. By substituting the given values, we calculate the total energy transferred to the object.
If you push a shopping cart with a constant effort of 10 units for 2 meters, you have exerted a total of 20 units of work energy.
WFD: Work is Force times Displacement.
W=FтЛЕdcos(╬╕) тАФ General formula for work where ╬╕ is the angle between force and displacement.
W=FтЛЕd тАФ Simplified formula when force and displacement are in the same direction (╬╕=0┬░).
According to the mechanical definition of work, when a constant force F acts on a body causing it to move through a displacement d in the same direction, the work done W is calculated as W=F├Чd. In this case, with F=10N and d=2m, the work is 10N├Ч2m=20J. The SI unit of work is the Joule (J), where 1J=1NтЛЕm.
Work is a scalar quantity.
The SI unit of work is the Joule (J), which is equivalent to NewtonтЛЕmeter (NтЛЕm).
If the force is perpendicular to the displacement, the work done is zero.
Provides a simple quantitative measure of energy transfer in mechanical systems.
Only accounts for constant forces in this simple linear form; variable forces require integration.
Calculating energy expenditure in lifting objects.
Determining mechanical efficiency of machines.
Option A (0 J) is incorrect as work is only zero if force or displacement is zero.
Option B (2 J) and C (10 J) are incorrect arithmetic results.
The calculation is 10├Ч2=20.
D is correct тАФ The work done is calculated as the product of force (10N) and displacement (2m), resulting in 20J.
Always check the units before calculating. If displacement were given in cm, convert it to meters (m) first to ensure the final result is in Joules (J).
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