Answer:
6 J
Explanation:
Gravitational Potential Energy can be calculated using the formula:
PE = mgh
where m is mass of object in <em>k</em><em>g</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em>g is the gravitational acceleration of 10 m/s^2
h is the height at which object is thrown in <em>m</em><em>.</em>
Hence, by substituting in the values, we get:
GPE = (4.0)(10)(0.15)
<u>6</u><u> </u><u>J</u>
Hence, the potential energy is <u>6</u><u> </u><u>J</u><u>.</u>
Answer:
See description
Explanation:
Frist we need to know the longitude of tape which is unwinding. Such relationship can be obtained with arc length. An arc length is the distance bewteen two points in a curve.
The relationship is:
Where is the arc length or distance, theta is the angle that results from the initial point of the measure to the final point, and r is the radius of a circumference.
Now let be length the unwinded tape. Change by and you ge the relationship:
if you unwind the tape by one revolution () you get the perimeter of a cricle , if you unwind it two times then and so on.
Then we have that the derivative of is
so we replace:
the derivative of theta with respect to t is ω(t) by definition:
The result is the relationship between angular velocity and the velocity and tangential velocity at the point r
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