Answer:
When the mass increases or when distance between the bodies reduces
Explanation:
According to Newton's law of universal gravitation, the gravitational attraction between two bodies always increase if the mass increases and the distance between the bodies reduces.
The law of universal gravitation states that "the gravitational force of attraction between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distances between them".
Mathematically;
Fg =
G is the universal gravitation constant
m is the mass
r is the distance
(1) First compute the linear speed of the mass. If it completes 1 revolution in 0.5 seconds, then the mass traverses a distance of 2<em>π</em> (1.0 m) ≈ 2<em>π</em> m (the circumference of the circular path), so that its speed is
<em>v</em> = (1/0.5 rev/s) • (2<em>π</em> m/rev) = 4<em>π</em> m/s ≈ 12.57 m/s
Then the centripetal acceleration <em>a</em> is
<em>a</em> = <em>v</em>² / (1.0 m) = 16<em>π</em>² m/s² ≈ 160 m/s²
(where <em>r</em> is the path's radius).
(2) By Newton's second law, the tension in the string is <em>T</em> such that
<em>T</em> = (0.50 kg) <em>a</em> = 8<em>π</em>² N ≈ 79 N
The gravitational potential energy of the weight changes to motion energy when the weight moves down and the paddle wheel spins. The motion energy changes to thermal energy, causing the water’s temperature to rise.
(fast explanation for my fellow edmentum kids :))
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