Final answer:
To calculate the work done on a 200-kg cart pushed up to a platform 1.5 m above the starting point, use the formula for gravitational work, W = mgh. With no friction, the work done is 2940 Joules, so the correct answer is A) 2940 Joules.
Step-by-step explanation:
The question pertains to calculating the work done in moving a cart up an incline. Work is defined as the product of the force applied in the direction of movement and the displacement. The force required to lift the cart directly relates to the cart's weight, which is the product of its mass and the acceleration due to gravity (g = 9.8 m/s2). To find the work done we can use the formula Work = Force x Displacement x cos(θ), where θ is the angle between the force and displacement vectors. Here, since the cart is lifted vertically and the displacement is also vertical, θ is 0 degrees, making cos(θ) equal to 1.
Therefore, the work done (W) to lift the cart to a height (h) of 1.5 meters can be calculated using the formula for gravitational work: W = mgh, where:
- m is the mass of the cart,
- g is the acceleration due to gravity, and
- h is the height the cart is lifted.
Thus, the work done is W = 200 kg * 9.8 m/s
2
* 1.5 m =
2940 Joules
. So, the provide correct option in final answer for the question is
A) 2940 Joules
.