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JIPMER2019PhysicsMotion in Two Dimensions

A particle is projected at an angle of 30^ from the horizontal with a speed of 10 ~m / s on the earth. It's time of flight, range, velocity of impact are respectively T , R , V . If this projectile is projected on the moon then its time of flight, range and velocity of impact is (assume gravitational field on moon is g / 6 ~m / s ^2 )

Options

  1. A6 T, 6 R, 6 ~V
  2. B6 T, 6 R, V
  3. CT, R, V
  4. DT, 6 R, 6 ~V

Correct answer

B. 6 T, 6 R, V

Step-by-step solution

Given, angle of projection, =30^ Initial speed of particle, v =10 ~m / s Time of flights, range and velocity of impact on the surface of earth are T, R and V respectively T = 2 v g , R = v ^2 2 g Gravitational acceleration on moon's surface is equal to 1 6 part of gravitational acceleration on the earth's surface. Hence, aligned & g_m= g_e 6 & T_m= 2 v g 6 = 6 2 v g =6 ~T & R_m= v^2 2 g 6 = 6 v^2 2 g =6 R aligned Velocity of impact will be same at both places of moon and earth. V _ m = V

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