Power of Gravity on a Moving Mass: Analyzing Mean and Instantaneous Values

In summary, a body of mass m is thrown at an angle alpha with an initial velocity v0. The problem asks to find the mean power developed by gravity over the time of motion and the instantaneous power of gravity as a function of time. The confusion arises in understanding why delta r, the net displacement of the body during the time of flight, is orthogonal to mg. It is clarified that the beginning and ending of the motion are assumed to be on the same plane.
  • #1
danilo_rj
10
0
A body of mass m is thrown at an angle alpha to the horizontal with the initial velocity v0. Find the mean power developed by gravity over the whole time of motion of the body, and the instantaneous power of gravity as a function of time.

I didn't understand why delta r is orthogonal to mg. Where delta r is the net displacement of the body during time of flight.
 
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  • #2
Where does the body begin and end its motion? What's the direction of that displacement?
 
  • #3
what is said in the problem is only this, there is no picture.
 
  • #4
You are given all the information needed to answer my question.
 
  • #5
Ok. So I have to suppose that the beggining and the ending of the motion is at a same plane.
 
  • #6
Exactly.
 

1. What is the power of gravity on a moving mass?

The power of gravity on a moving mass refers to the force exerted by gravity on an object in motion. This force is responsible for the acceleration of the object towards the Earth.

2. How is the mean value of gravity calculated?

The mean value of gravity is calculated by taking the average of the gravitational force acting on the object over a period of time. This can be calculated by dividing the change in velocity by the time it took for the change to occur.

3. What is the significance of analyzing instantaneous values of gravity?

Analyzing instantaneous values of gravity allows us to understand the precise force acting on an object at a specific moment in time. This can help us to make more accurate predictions and calculations in regards to the motion of the object.

4. How does the power of gravity on a moving mass affect its trajectory?

The power of gravity on a moving mass affects its trajectory by constantly pulling the object towards the center of the Earth. This causes the object to follow a curved path, known as a parabolic trajectory.

5. Can the power of gravity on a moving mass be altered?

No, the power of gravity on a moving mass is a constant force that cannot be altered. However, other factors such as air resistance or external forces can affect the motion of the object and change its trajectory.

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