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When the force and the displacement are in the same direction, then work done will be:
zero
positive
either positive or negative
negative
positive
When a force acts on an object and the displacement of the object is in the same direction as the applied force, the work done by the force is positive. This corresponds to a theta angle of 0┬░, where cos(0┬░)=1.
When a force acts on an object and the displacement of the object is in the same direction as the applied force, the work done by the force is positive. This corresponds to a theta angle of 0┬░, where cos(0┬░)=1.
Pushing a toy car forward across a floor in the exact direction you are walking applies a force and displacement in the same direction, making it easier and doing positive work on the car.
Same direction = Same sign (Positive); Opposite direction = Opposite sign (Negative).
W=FтЛЕs тАФ Work done as dot product of force and displacement vectors
W=FтЛЕsтЛЕcos╬╕ тАФ Work formula using angle between force and displacement
cos(0┬░)=1 тАФ Maximum positive value when force and displacement align
Work done is defined as the scalar (dot) product of the force vector and the displacement vector. Mathematically, it is expressed as W=FтЛЕs=Fscos╬╕. When both force and displacement are in identical directions, the angle ╬╕=0┬░, making cos(0┬░)=1, which yields a maximum positive work value of W=Fs.
When force and displacement are in the same direction, angle ╬╕=0┬░.
Since cos(0┬░)=1, the work done is maximum and positive (W=+Fs).
Positive work indicates that energy is transferred to the body (e.g., accelerating a car).
If ╬╕=180┬░, work is negative (e.g., frictional force).
If ╬╕=90┬░, work done is zero (e.g., centripetal force).
Maximum efficiency in transferring mechanical energy to an object.
Pushing a box across a room in the direction of push.
A free-falling object pulled downward by gravity where displacement is also downward.
SI unit of work is Joule (J) or Newton-meter (NтЛЕm).
Work is a scalar quantity, though it is the product of two vectors.
B is correct тАФ When the force and the displacement are in the same direction, the work done is positive.
Remember that work can be positive, negative, or zero depending strictly on the angle ╬╕ between the force vector and displacement vector: 0┬░тЙд╬╕<90┬░ gives positive work, ╬╕=90┬░ gives zero work, and 90┬░<╬╕тЙд180┬░ gives negative work.