Body of mass 2 Kg moving in the x-y plane

[nick997]

1. The potential energy (in joule) of a body of mass 2 Kg moving in the x-y plane is given by
U=6x+8y
Where the position coordinates x and y are measured in meters.If the body is at rest at point (6m,4m) at time t=0,it will cross the yaxis at time t equal to
a. 2s
b. 1s
c. 3s
4. 4s

 

[Naty1]

This is not the place for homework questions.

 

[charng]

I would like to clarify that the potential energy of a body is not affected by its motion in the x-y plane. The potential energy is dependent on the position of the body, not its velocity or acceleration. Therefore, the potential energy of the body in this scenario would be 6(6m) + 8(4m) = 60 J.

As for the question of when the body will cross the y-axis, we can use the equation of motion to determine the time it takes for the body to reach a specific position. However, since we do not have information about the velocity or acceleration of the body, we cannot accurately determine the time it takes for the body to cross the y-axis.

Additionally, the given equation for potential energy does not provide enough information to accurately determine the time it takes for the body to cross the y-axis. The equation only gives us information about the potential energy at a specific point in time, but it does not provide information about the motion of the body.

In conclusion, the potential energy of a body of mass 2 kg moving in the x-y plane is given by U=6x+8y, but this equation does not provide enough information to accurately determine the time it takes for the body to cross the y-axis. More information about the motion of the body is needed to accurately answer this question.