You are in the supermarket, pushing a cart with a force of 92 Newtons in the horizontal direction. There is a constant force of kinetic friction operating on the cart of 16.8 Newtons.
Calculate the net work done on the cart, if the cart is displaced 5.6 metres in a straight line.
net work on cart=(92-16.8)*5.6
net work on friction=16.8*5.6
work done by YOU= 92*5.6
To calculate the net work done on the cart, we need to use the formula:
Net Work = Force × Displacement × cos(theta).
In this case, the force pushing the cart horizontally is 92 Newtons. The kinetic friction force acting on the cart is 16.8 Newtons.
The displacement of the cart is given as 5.6 meters in a straight line.
Theta represents the angle between the applied force and the direction of displacement. Since the force and displacement are both in the horizontal direction, the angle between them is 0 degrees, and cos(0) equals 1.
Using the formula, we can calculate the net work done on the cart:
Net Work = (92 N - 16.8 N) × 5.6 m × cos(0)
Simplifying the equation:
Net Work = 75.2 N × 5.6 m × 1
Net Work = 420.32 Joules
Therefore, the net work done on the cart is 420.32 Joules.