## Two students make the following claims: Student 1 claims that the work done by the gravitational force on an object as it falls depends only

Question

Two students make the following claims: Student 1 claims that the work done by the gravitational force on an object as it falls depends only on the vertical distance of the fall. Student 2 claims that the gravitational force does less work on an object that falls gradually along a shallow incline than one that falls along a steeper incline.
The students run several trials of an experiment in which a cart is allowed to travel down an incline that can be set at different angles. The cart is released from the same height h in each trial and the following measurements are made:
the angle θ of the incline
the distance d the cart travels along the incline
the time t it takes the cart to move down the incline
the speed v of the cart at the bottom of the incline

Which of the following indicates which student made the correct claim and has data to support this claim?

a) Student 2 is correct because as θ is increased, t decreases.
b) Student 2 is correct because as θ is increased, d increases.
c) Student 2 is correct because as θ is increased, h is the same.
d) Student 1 is correct because as θ is increased, v is the same.
e) Student 1 is correct because as θ is increased, h is the same.

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4 months 2021-07-17T08:59:14+00:00 1 Answers 3 views 0

Option E is the correct answer.

Explanation:

In the question, we have an object released from height (h). It would have a gravitational potential energy given by the formula;

P. E. = mgh

Where:

m = Mass of object

g = Acceleration due to gravity

h = vertical distance

We know from the Law of Conservation of Energy that: energy can neither be created nor destroyed, but can be changed from one form to another.

Therefore, the gravitational force on an object as it falls depends on only the vertical height as the mass, m and the acceleration due to gravity, g are both constant in the experiment.

Thus, Student 1 is correct because as θ is increased, h is the same.