Energy Basics:Question 1 The diagram shows a cart at four positions as it moves
along its track. At which positions is the sum of the potential
energy and kinetic energy of the cart the same?
Select one:
BY
A and B, only
O Cand D, only
all positions, A through D
B and C, only

The sum of the kinetic and potential energies are equal at points B and C, only

Mechanical energy refers to energy that is possessed by a body either as a result of its motion or as a result of its position. There are two forms of mechanical energy;

Kinetic energy refers to energy possessed by a body by virtue of its motion while the potential energy is energy possessed by a body by virtue of its position. Looking at the image, the sum of the kinetic and potential energies are equal at points B and C, only

Learn more about potential energy: link

B and C, only

Step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: