Final answer:
The amount of work done when a man pushes a cart 10 meters with a force of 2 N is 20 joules. The calculation involves multiplying the force by the distance, considering the direction of the force and the distance are the same.
Step-by-step explanation:
The question is asking about the amount of work done when a man pushes a cart. The calculation of work can be expressed by the formula:
Work = Force × Distance × cos(θ)
Since the force is applied in the same direction in which the cart moves and there is no angle mentioned, the cos(θ) part of the equation is equal to 1 (cos(0°)=1). Therefore, the work done is simply the product of the force and the distance.
In this example:
- Force applied (F) = 2 N
- Distance moved (d) = 10 m
- Work done (W) = F × d
So the work done in moving the cart 10 meters with a force of 2 N is:
Work = 2 N × 10 m = 20 J
Therefore, the correct answer is D: 20 J.