Question #44294

hailstones falling vertically with a speed of 10m/s hit the wind screen(wind screen makes an angle 30 degree with the horizontal) of a moving car and rebound elastically. find the velocity of the car if the driver finds the hailstones rebound vertically after striking

Expert's answer

Answer on Question #44294-Physics-Mechanics-Kinematics-Dynamics

Hailstones falling vertically with a speed of 10m/s10\mathrm{m / s} hit the wind screen (wind screen makes an angle 30 degree with the horizontal) of a moving car and rebound elastically. Find the velocity of the car if the driver finds the hailstones rebound vertically after striking



Solution

Vˉ\bar{V} is the velocity of a hailstone relatively car.


Vˉ=VˉC+VˉH,\bar {V} = \bar {V} _ {C} + \bar {V} _ {H},


where VˉC\bar{V}_C is the velocity of car relatively ground, VˉH\bar{V}_H is the velocity of a hailstone relatively ground.

The velocity of the car is


VC=VHcot30=103ms.V _ {C} = V _ {H} \cot 3 0 {}^ {\circ} = 1 0 \sqrt {3} \frac {m}{s}.


Answer: 103ms10\sqrt{3}\frac{m}{s} .

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