An object slides along a curved track of negligible friction, as shown in the figure. The potential energy U of the object as a
function of the position x is shown in the graph. The object starts at rest at x=0. Which of the following is a correct claim about the motion of the object?
(Would prefer an explanation, but it's not necessary)
A) The kinetic energy of the object is approximately the same at x=2m and x=5m.
B) At x=2m, the object has more potential energy than kinetic energy.
C) The object comes to rest when x=5.5m.
D) The rate of change of the potential energy is a minimum at x=0m.
E) The object achieves its maximum speed at approximately x=3m.
(Would prefer an explanation, but it's not necessary)
A) The kinetic energy of the object is approximately the same at x=2m and x=5m.
B) At x=2m, the object has more potential energy than kinetic energy.
C) The object comes to rest when x=5.5m.
D) The rate of change of the potential energy is a minimum at x=0m.
E) The object achieves its maximum speed at approximately x=3m.
1 answer:
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Answer:
<u>I had to search the Figure on Google to solve this question.</u>
a) The magnitude of the force F₃ is:
And the direction of F₃:
(with respect to the y-direction, in the third quadrant)
b) P = 4.22 N
Explanation:
<u>I had to search the Figure on Google to solve this question.</u>
a) We can find the force of the third person as follows:
So, in x-direction we have:
In y-direction we have:
The magnitude of the force F₃ is:
To find the direction of F₃ we need to calculate its angle with respect to the y-direction (in the third quadrant):
<em>b) If the third person exerts the force found in part (a) the car will stop, so the only way for the cart to accelerate at 200 m/s² is that the third person does not exert the force found in a. </em>
<u>To find the weight of the cart when it accelerates at 200 m/s², we need to consider: F₃ = 0</u>.
First, we need to find the cart's mass. Since the car is moving in the x-direction we have:
Now, the weight of the cart is:
I hope it helps you!