When it leaves the hand, it's rising at 18.2 m/s. After 1 second, gravity has slowed it to (18.2 - 9.8) = 8.4 m/s, still rising. Its average speed during the first second is 1/2 of (18.2 + 8.4) = 13.3 m/s. Rising for 1 second at an average speed of 13.3 m/s, it rises 13.3m from the hand.
The centripetal acceleration of the body moving in the uniform circular motion is 49.3m/s².
<h3>What is centripetal acceleration?</h3>
Centripetal acceleration is simply the acceleration of a body traversing a circular path.
It is expressed as;
ac = v²/r
Where v is velocity and r is radius.
But, Velocity v = 2πr/t.
Hence,
ac = ( 2πr/t )²/r
Given that;
- Mass m = 2.5kg
- Radius r = 20.0m
- Elapsed time t = 4.0s
- Centripetal acceleration = ?
ac = ( (2 × π × 20m) / 4.0s )² / 20m
ac = ( 31.4m/s )² / 20m
ac = (985.96m²/s²) / 20m
ac = 49.3m/s²
Therefore, the centripetal acceleration of the body moving in the uniform circular motion is 49.3m/s².
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Answer: 552.5 watts
Explanation:
Given that,
Weight of man = 956 N
Height (h) = 2.41 m
Time taken (t) = 4.17 seconds
Power = ?
Recall that power is the rate of work done per unit time i.e Power = work/time
Thus, power = (mgh) / t
(Since weight = mass x acceleration due to gravity)
Power = (weight x height)/ time
Power = (956N x 2.41 m) / 4.17s
Power = 2303.96/4.17
Power = 552.5 watts
Thus, 552.5 watts of power is generated.
This question involves the concepts of equilibrium and Newton's third law of motion.
The support force will be "1 pound" for the empty bucket and the support force will be "6 pounds" after pouring water into it.
- According to the condition of equilibrium, the sum of forces acting on a stationary object must be zero. Hence, the support force of the table will be equal to the total mass of the bucket.
- According to Newton's Third Law of Motion every action force has an equal but opposite reaction force. Hence, the support force will be a reaction force to the weight of the bucket.
Therefore, the support force in each case will be equal to the total mass of the bucket:
Case 1 (empty bucket):
<u>support force = 1 pound</u>
<u></u>
Case 1 (water poured):
support force = 1 pound + 5 pound
<u>support force = 6 pound</u>
<u></u>
Learn more about equilibrium here:
brainly.com/question/9076091