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Potential energy Ex8-C Q:11

A ball of mass 0.02 kg is projected vertically upwards through oil. The ball has initial speed (35/12) m/s. The oil exerts a resistance of 0.1 t^0.5 ( square root of t divided by10)N, where "t" s is the time from when the ball was projected.
Work out the increase in the potential energy of the ball from the start to when the ball was projected.

My answer to this question is 0.02x10x1.600946..= 0.3201J. but book answer is 0.075 J.
Please anybody clarify it ?
Reply 1
Original post by alevelmath1
A ball of mass 0.02 kg is projected vertically upwards through oil. The ball has initial speed (35/12) m/s. The oil exerts a resistance of 0.1 t^0.5 ( square root of t divided by10)N, where "t" s is the time from when the ball was projected.
Work out the increase in the potential energy of the ball from the start to when the ball was projected.

My answer to this question is 0.02x10x1.600946..= 0.3201J. but book answer is 0.075 J.
Please anybody clarify it ?

Can you upload your working pls.
Reply 2
image-992e249a-57aa-4b88-bc47-044c97c264261683735843-compressed.jpg.jpeg here is working as well as the question.
Reply 3
image-cc83a4df-752b-4cfa-a877-78daf987cd50186716741-compressed.jpg.jpeg clear picture of the question.
Reply 4
Original post by alevelmath1
image-992e249a-57aa-4b88-bc47-044c97c264261683735843-compressed.jpg.jpeg here is working as well as the question.

In your f = ma, you only have the oil force. Where is gravity?
Reply 5
Thanks a lot to correct me. Now I got the correct answer according to the book.
How did you solve it? What was the acceleration then? Please I am confused
Reply 7
Please give the correct answer with gravity🙏🙏

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