HSC Science (General) 12th Board ExamMaharashtra State Board
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# Find the Velocity at the Highest Point. - HSC Science (General) 12th Board Exam - Physics

ConceptAcceleration Due to Gravity and Its Variation with Altitude and Depth

#### Question

A stone of mass 100 g attached to a string of length 50 cm is whirled in a vertical circle by giving velocity at lowest point as 7 m/s. Find the velocity at the highest point. [Acceleration due to gravity = 9.8 m/s2 ]

#### Solution

Given:- m = 100 g = 0.1 kg, r = 50 cm = 0.5m, g = 9.8 m/s2, vL = 7 m/s

To find:- Velocity at the highest point (vH)

Formula:- v_H=sqrt((2(TE_(H)))/m-4gr)

Calculation:- Total energy at highest point,

T.E.(H)= K.E. at lowest point = (1/2)mvL2

∴ T.E(H) = (1/2)x0.1x72

=2.45 J

From formula,

v_H=sqrt((2(2.45))/0.1-(4xx9.8xx0.5)

=sqrt(29.4)

therefore v_H=5.422 m/s

The velocity at the highest point is 5.422 m/s.

Is there an error in this question or solution?

#### APPEARS IN

2014-2015 (October) (with solutions)
Question 4.4 | 3.00 marks
Solution Find the Velocity at the Highest Point. Concept: Acceleration Due to Gravity and Its Variation with Altitude and Depth.
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