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A ball is projected vertically upward with a certain initial speed another ball of the same mass is projected at an angle of 60 degree with the vertical with the same initial speed at highest point of the of their journey the ratio of their potential energy will be
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Ratio of Potential Energy of Two Projected Balls


Projectile Motion Basics


  • When an object is projected vertically upward, it follows a parabolic path.

  • When an object is projected at an angle with the vertical, it follows a curved path called a projectile motion.

  • Both types of motion are influenced by the gravitational force acting on them.



Calculating Potential Energy


  • Potential energy is the energy possessed by an object due to its position or state.

  • It is given by the formula: PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above a reference point.



Ratio of Potential Energy of Two Projected Balls


  • At the highest point of their journey, both balls have zero kinetic energy.

  • Therefore, the ratio of their potential energy is equal to the ratio of their heights above the reference point.

  • Since both balls have the same initial speed, the ball projected vertically upward will reach a height of h/2, where h is the maximum height of the ball projected at an angle of 60 degrees.

  • Therefore, the ratio of their potential energy will be 1:2.

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A ball is projected vertically upward with a certain initial speed ano...
3:1
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A ball is projected vertically upward with a certain initial speed another ball of the same mass is projected at an angle of 60 degree with the vertical with the same initial speed at highest point of the of their journey the ratio of their potential energy will be
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