A stone, Q is thrown with velocity U at an angle of 75o to the horizontal. Anoth...
Question
A stone, Q is thrown with velocity U at an angle of 75o to the horizontal. Another stone R is thrown with the same velocity U but with an angle of 15o to the horizontal. The ranges covered by the stones will beOptions
A) greater for Q
B) greater for R
C) the same for Q and R
D) greater for the heavier of the two stones
Related Lesson: Calculating Falling Object Velocity | One-Dimensional Kinematics
The correct answer is C.
Explanation:
Range = \(\frac{U^2sin2\theta}{g}\)
RangeQ = \(\frac{U^2sin150}{g}\)
RangeR = \(\frac{U^2sin30}{g}\)
Since, sin30o = sin150o
therefore, RQ = RR
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Range = \(\frac{U^2sin2\theta}{g}\)
RangeQ = \(\frac{U^2sin150}{g}\)
RangeR = \(\frac{U^2sin30}{g}\)
Since, sin30o = sin150o
therefore, RQ = RR