Resultant Velocity of Thor's Hammer

In summary, resultant velocity is the overall velocity of an object, taking into account its speed and direction. It is calculated through vector addition or the Pythagorean theorem. It can be negative if the individual velocities are in opposite directions. It differs from average velocity, which is the average of an object's velocity over time and does not take into account direction. Resultant velocity determines an object's motion, with a positive velocity resulting in movement in the direction of the velocity and a negative velocity resulting in movement in the opposite direction.
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patdon22
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Homework Statement


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Homework Equations

The Attempt at a Solution

 
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patdon22 said:

Homework Statement


Thor starts spinning his hammer at a rate of 2.00 rad/s2 while he starts running toward Loki at 4.00m/s2 . The distance from Thor’s elbow to the end of the hammer form a rigid 1.20m segment. If he takes 3.00 seconds before he launches the hammer at Loki, what is the resultant velocity of the hammer when it leaves Thor’s hand?

Homework Equations

The Attempt at a Solution

You must show some attempt, as per forum rules. Also mention any conservation laws you think might be useful.
 

1. What is meant by resultant velocity?

Resultant velocity is the overall velocity of an object that takes into account both its speed and direction. It is the vector sum of all the individual velocities acting on the object.

2. How is resultant velocity calculated?

Resultant velocity can be calculated using vector addition, where the individual velocities are added together taking into account their directions. Alternatively, it can be calculated using the Pythagorean theorem for right triangles.

3. Can resultant velocity be negative?

Yes, resultant velocity can be negative if the individual velocities acting on the object are in opposite directions. In this case, the negative sign indicates the opposite direction of the resultant velocity.

4. What is the difference between resultant velocity and average velocity?

Resultant velocity is the overall velocity of an object at a specific moment, while average velocity is the average of an object's velocity over a certain period of time. Resultant velocity takes into account the object's direction, while average velocity does not.

5. How does resultant velocity affect an object's motion?

The resultant velocity determines the direction and speed of an object's motion. If the resultant velocity is zero, the object will have no motion. If the resultant velocity is positive, the object will move in the direction of the resultant velocity, and if it is negative, the object will move in the opposite direction.

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