An astronaut on the moon fires a projectile from a launcher ona level surface so

Question

An astronaut on the moon fires a projectile from a launcher ona level surface so as to get the maximum range. If the launchergives the projectile a muzzle velocity of 25m/s what is the rangeof the projectile? [HINT the acceleration due to gravity on the moon isonly one sixth of that on the earth.] An astronaut on the moon fires a projectile from a launcher ona level surface so as to get the maximum range. If the launchergives the projectile a muzzle velocity of 25m/s what is the rangeof the projectile? [HINT the acceleration due to gravity on the moon isonly one sixth of that on the earth.]

Explanation / Answer

   gmoon = gearth / 6 =9.8 / 6 = 1.63 m/s^2    velocity of projection, V = 25 m/s     For maximum range , angle of projection , = 45 degrees     Max range , R max = V2 Sin2 / gmoon = V2 /gmoon = 625 / 1.63 = 383.44 m     Note : Max Range on moon is greatercompared to that of earth because of less 'g' value     Note : Max Range on moon is greatercompared to that of earth because of less 'g' value

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