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Why is the average velocity of the molecules in a gas is zero but the average of the square velocity not zero?
Wiki User
∙ 14y ago
The gas molecules are in motion but if the total gas volume is stationary (Eg. closed in a container) the average gas velocity is zero.
And since the square of any number is never negative. And not all molecules have zero velocity at a time. Therefore, since not all numbers are zero and no number is negative the the average of numbers should be a positive number and will not be zero.
Wiki User
∙ 14y ago
In a gas, the molecules move in random directions and their velocities cancel out when averaged, resulting in an average velocity of zero. However, the squares of their velocities are always positive, so when these squared velocities are averaged, the result is not zero. This is because direction does not matter when squaring the values, leading to a non-zero average of the square velocity.
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Why average velocity of molecules in gas zero whereas the average square of velocity is not zero?
The average velocity of gas molecules is zero because the molecules have equal likelihood of moving in any direction, so their velocities cancel out over time. However, the average square of velocity is not zero because it takes into account the magnitude of the velocities, which are all positive values and sum up to a non-zero value.
Why average velocity of molecules of a gas is zero but the square of average velocity is not zero?
It depends on the sign of velocities. For example, if there are two velocities 7 and -7 m/s then the average velocity of the molecules will be 0. But, the square will be 49. The general thing here is that even if a velocity is negative, the square of EVERY velocity irrespective of the sign is positive i.e., squaring always removes the negative sign.
Can a body have nonzero average speed but have zero average velocity give example?
Yes, a body can have a nonzero average speed but zero average velocity if it moves around a closed path and returns to its starting point. For example, if a car travels around a circular track at a constant speed, its average speed will be nonzero (as distance is covered), but its average velocity over the entire trip will be zero as the displacement is zero.
Can a body in motion can never have zero average velocity?
No, a body in motion can have zero average velocity if it returns to its initial position over the same amount of time it took to move away from it. This would result in a net change in position of zero, thus giving it an average velocity of zero.
Can the average velocity of a particle be zero but not its average speed?
Yes, since velocity is speed and direction its average can be zero. For example say a plane flies from point A to point B at 300 mph and turns around to go from B to A at 300 mph; its average velocity is 0 since it is in the same spot as it started ( the velocity vectors cancel) but its average speed is 300 mph.
Why average velocity of molecules in gas zero whereas the average square of velocity is not zero?
The average velocity of gas molecules is zero because the molecules have equal likelihood of moving in any direction, so their velocities cancel out over time. However, the average square of velocity is not zero because it takes into account the magnitude of the velocities, which are all positive values and sum up to a non-zero value.
Why average velocity of molecules of a gas is zero but the square of average velocity is not zero?
It depends on the sign of velocities. For example, if there are two velocities 7 and -7 m/s then the average velocity of the molecules will be 0. But, the square will be 49. The general thing here is that even if a velocity is negative, the square of EVERY velocity irrespective of the sign is positive i.e., squaring always removes the negative sign.
What is the name of the condition when the average velocity of atmospheric molecules around you is not zero?
The condition you are referring to is called temperature. Temperature is a measure of the average kinetic energy of the particles in a substance, such as air. When the average velocity of atmospheric molecules is not zero, it indicates that the substance has a non-zero temperature.
Can a body have nonzero average speed but have zero average velocity give example?
Yes, a body can have a nonzero average speed but zero average velocity if it moves around a closed path and returns to its starting point. For example, if a car travels around a circular track at a constant speed, its average speed will be nonzero (as distance is covered), but its average velocity over the entire trip will be zero as the displacement is zero.
How is it possible for a car to have an average velocity of zero and an average speed of 65 mph?
This scenario is possible if the car travels a certain distance in one direction and then returns to its starting point, resulting in an average velocity of zero. The average speed of 65 mph would be calculated as the total distance traveled divided by the total time taken, without considering the direction of motion.
What is an example of average velocity of zero?
An example of average velocity of zero is when an object moves in a full circle and returns to its starting point within a given time interval. Since the displacement is zero (starting and ending at the same point), the average velocity is also zero.
What is the average velocity of a particle when it returns to the straight point?
The average velocity of a particle when it returns to the starting point is zero. This is because velocity is a vector quantity that includes both magnitude and direction, and returning to the starting point means the displacement is zero, resulting in an average velocity of zero.
Can you have zon zero displacement and a non zero average velocity?
Yes, it is possible to have zero displacement and a non-zero average velocity. This can occur if an object moves back and forth over a certain distance so that the total displacement is zero, but the average velocity is non-zero due to the object covering distance in both directions.
When does the average velocity become zero?
The average velocity becomes zero when an object returns to its initial position after moving in a straight line. This happens when the displacement is zero over a period of time.
What is the average velocity of a tennis racquet?
The average velocity is pretty close to zero. Velocity is a vector, so its average value is the total displacement divided by the total time. Since the racquet probably starts and finishes in the player's bag in the player's home, the average velocity is zero.
Can the average velocity of a moving body be zero. state example?
Yes, the average velocity of a moving body can be zero. For example, if an object moves to the right for a certain distance and then returns back to its original position in the same amount of time, the total displacement would be zero, resulting in an average velocity of zero.
If the average velocity of an object is zero in some time interval what can you say about the displacement of the object for that interval?
If the average velocity of an object is zero in a time interval, it means that on average the object has not changed its position during that time. Therefore, the displacement of the object for that interval would also be zero, indicating no overall movement from the starting position.
