Two children are riding on a merry-go-round. Child A is at a greater distance from the axis of rotation than child B. Which chil
1 answer:
Answer: Two children are riding on a marry-go-round. Child A is at a greater distance from the axis of rotation than child B. Thus, the child A, located at a greater distance from the axis of rotation have a larger tangential speed.
Explanation: To find the correct answer we have to know more about the Angular velocity of a rotating body.
<h3>What is the angular velocity?</h3>- In rotational motion, the angular velocity ω can be defined as, the change in angular displacement(Ф) per unit time (t).
- It's the revolution per second.
- The angular velocity can be expressed in terms of the tangential velocity as well as the radius of the circular path as,
- We know that the expression for the tangential velocity as,
- In the question, for both the child, the value of w will be same. Thus, the only quantity that depends on the tangential velocity will be the distance from the axis of rotation.
- The maximum will the value of V, if the r maximizes.
- Thus, child A with greater distance will have larger tangential speed.
Thus, we can conclude that, child A with greater distance will have larger tangential speed.
Learn more about the Angular velocity here:
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Hi there!
We can use the work-energy theorem to solve.
Recall that:
The initial kinetic energy is 0 J because the crate begins from rest, so we can plug in the given values for mass and final velocity:
Now, we can define work:
Now, plug in the values:
Solve for theta:
Explanation:
The kinetic energy is said to be possessed due to the motion of the object. An object at rest will have zero kinetic energy and if it is in motion it will have some kinetic energy. The mathematical expression for kinetic energy is given by :
...........(1)
Where
m is the mass of the object
v is the velocity of object
It is clear form expression (1) that the kinetic energy of the object is directly proportional to the mass and velocity of an object.
So, the hypothesis for the mass and kinetic energy can be written as " when the mass of the object increases, its kinetic energy also increases because there exists a direct relationship between the mass and the kinetic energy of the object".