Joaquin and Susanna are pushing a cart containing sports equipment along one side of their local sports field.
In section A, the cart is speeding up.
In section B, the cart is rolling at a constant speed.
In section C, the cart is speeding up again.
In section D, the cart is rolling at a new constant speed.
Then they think about how this data relates to what they learned in class about kinetic energy.
Study the graph and then answer the questions.
Question 1
a. In which section or sections is the cart's kinetic energy increasing?
You might need to choose more than one answer.
(1 point)
Responses
section A
section A
section B
section B
section C
section C
section D
section D
section E
There is no section E mentioned in the provided information. Therefore, the correct answer would be:
- section A
- section C
The cart's kinetic energy is increasing in section A and section C.
To determine in which section or sections the cart's kinetic energy is increasing, we need to understand the relationship between kinetic energy and speed.
Kinetic energy is a form of energy that depends on an object's mass and its velocity. The formula for kinetic energy is:
Kinetic Energy = 1/2 * mass * velocity^2
If we compare the formula to the given scenario, we can see that kinetic energy is directly proportional to the square of the velocity. This means that as the velocity increases, so does the kinetic energy.
Based on this relationship, we can identify the sections in which the cart's kinetic energy is increasing. These sections are:
1. section A: The cart is speeding up, which means its velocity is increasing. Consequently, its kinetic energy is also increasing.
2. section C: Similarly, in this section, the cart is speeding up again, resulting in an increased velocity and kinetic energy.
Therefore, the correct answers are:
- section A
- section C