7. A boy throws a table tennis ball of mass 20 g upwards with a velocity of u 0 = 10 m/s at an angle q 0 with

the vertical. The wind imparts a horizontal force of 0.08 N, so that the ball returns to the starting point.

Then, the angle q 0 must be such that, tan q 0 is

(A) 0.2 (B) 0.4 (C) 2.5 (D) 1.2

Question

7. A boy throws a table tennis ball of mass 20 g upwards with a velocity of u 0 = 10 m/s at an angle q 0 with

the vertical. The wind imparts a horizontal force of 0.08 N, so that the ball returns to the starting point.

Then, the angle q 0 must be such that, tan q 0 is

(A) 0.2 (B) 0.4 (C) 2.5 (D) 1.2

AKASH GOYAL AskiitiansExpert-IITD · Answer

Dear Deepak

see the pic for the solution

All the best.

AKASH GOYAL

AskiitiansExpert-IITD

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vikas askiitian expert · Answer

for verticle motion Uy = U0 COS@ & ay = -g applying V Y = U Y + a y t V y at topmost point is zero so t= u y /g tim of flight (T)= 2t=2U y /g .........1 for horizontal motion U x = U O COS @ S x = U x T + a x T 2 finally particle reaches to same point so displacement is zero .. 0 = U x T + a x T 2 /2 .........2 putting value of T in eq 2 U y /U x = g/a .........3 ma x = force =0.08 a x = 4m/s 2 now , U Y /U X = Uo cos@/U osin@ =tan@=10/4=2.5 option c is correct

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7. A boy throws a table tennis ball of mass 20 g upwards with a velocity of u 0 = 10 m/s at an angle q 0 with the vertical. The wind imparts a horizontal force of 0.08 N, so that the ball returns to the starting point. Then, the angle q 0 must be such that, tan q 0 is (A) 0.2 (B) 0.4 (C) 2.5 (D) 1.2

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