A body has centripetal acceleration with magnitude <em>a</em> such that
<em>a</em> = <em>v</em> ² / <em>R</em>
where <em>v</em> is the body's tangential speed and <em>R</em> is the radius of the circular path the body takes.
Convert the child's angular speed <em>ω</em> into linear/tangential speed. Assume angular speed is measured in rad/s and tangential speed in m/s. For every 2<em>π</em> rad that he revolves around his mother, the child travels a distance of 2<em>πR</em> m, so that
<em>ω</em> = (<em>ω</em> rad/s) • (2<em>πR</em>/(2<em>π</em>) m/rad) = <em>Rω</em> = <em>v</em>
Then the child's acceleration is
<em>a</em> = (<em>Rω</em>)² / <em>R</em> = <em>Rω</em> ²
When the mother pulls her arms in, the distance <em>R</em> gets halved and changes to <em>R</em>/2, so that the child's new acceleration is
<em>a</em> = (<em>R</em>/2 • <em>ω</em>)² / (<em>R</em>/2) = (1/4 • (<em>Rω</em>)²) / (1/2 • <em>R</em>) = 1/2 <em>Rω</em> ²
so the child's centripetal acceleration decreases by a factor of 2.
Answer:
(That an object must be made out of metal to be attracted, but not all metals are attracted.) Metals such as iron, nickel, and cobalt are attracted to magnets. Steel has iron in it, so it is also attracted to magnets.
Explanation:
basically magnets
OF COURSE !
The gravitational force between two objects doesn't ONLY depend on the product of their masses. It also depends on the distance between them.
I'm not even going to work out the numbers for my example. I'm just going to state without proof that at the top of the 2nd frame, the gravitational force between you and your bowling ball is greater than the gravitational force between you and the whole darn Andromeda galaxy ! My reasoning is based on the fact that your bowling ball is maybe 1 foot from your center of mass, whereas the Andromeda galaxy is more like 2.5 million light years from it. That right there is going to give your bowling ball a big advantage when it comes to gravity !
Answer:
I do agree with the student. Because imagene you have a tissue and a stick. And you throw them at the same speed , the stick will go farther because it' s heavier but the tissue would just blow around and not go forward because it is not heavy enought.
Explanation:
Hope this is correct have a terrific day.
Answer: The first one
Explanation:
Because it’s the higher frequency
