Does v represent speed in kinetic energy formula?

In summary, the kinetic energy formula is <em>K = 1/2 * m * v^2</em>, where <em>K</em> is the kinetic energy, <em>m</em> is the mass of the object, and <em>v</em> is the speed of the object. Velocity is a vector quantity that includes both speed and direction, while speed is a scalar quantity that only measures the rate of motion. The speed is squared in the formula because kinetic energy is directly proportional to the square of the object's speed. The unit of measurement for <em>v</em> is meters per second (m/s). The formula can be used for objects with varying speeds, but it assumes a constant speed and
  • #1
Mr Davis 97
1,462
44
Since kinetic energy is in is a scalar quantity in joules, then is the v in (1/2)mv2 speed or velocity?
 
Physics news on Phys.org
  • #2
Mr Davis 97 said:
Since kinetic energy is in is a scalar quantity in joules, then is the v in (1/2)mv2 speed or velocity?
Either will work. If it is taken as a scalar then you would use scalar multiplication to compute v2 If it is taken as a vector then the vector dot product ##v{\cdot}v## will produce the same result.
 

1. What is the kinetic energy formula?

The kinetic energy formula is K = 1/2 * m * v^2, where K is the kinetic energy, m is the mass of the object, and v is the velocity or speed of the object.

2. Does v represent speed or velocity in the kinetic energy formula?

In the kinetic energy formula, v represents the speed of the object. Velocity is a vector quantity that includes both speed and direction, while speed is a scalar quantity that only measures the rate of motion.

3. Why is the speed squared in the kinetic energy formula?

The speed is squared in the kinetic energy formula because kinetic energy is directly proportional to the square of the object's speed. This means that doubling the speed will result in four times the amount of kinetic energy.

4. What is the unit of measurement for v in the kinetic energy formula?

The unit of measurement for v in the kinetic energy formula is meters per second (m/s). This is the standard unit for speed in the metric system.

5. Can the kinetic energy formula be used for objects with varying speeds?

Yes, the kinetic energy formula can be used for objects with varying speeds. However, it is important to note that the formula assumes a constant speed and does not take into account changes in speed over time. For objects with varying speeds, the average speed can be used in the formula to calculate the kinetic energy.

Similar threads

Replies
4
Views
1K
Replies
13
Views
1K
Replies
12
Views
1K
Replies
3
Views
847
Replies
16
Views
1K
  • Mechanics
Replies
11
Views
974
  • Mechanics
Replies
3
Views
72
Replies
7
Views
852
  • Mechanics
Replies
5
Views
955
Back
Top