Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 20231 FebruaryEvening Shift
Exam
JEE Main
Year
2023
Date
1 February
Shift
Evening Shift
Subject
Physics
Chapter
Gravitation

JEE Main 2023 · 1 February · Evening Shift · Physics · Gravitation

For a body projected at an angle with the horizontal from the...

For a body projected at an angle with the horizontal from the ground, choose the correct statement

Options

  1. AGravitational potential energy is maximum at the highest point.
  2. BThe horizontal component of velocity is zero at highest point.
  3. CThe vertical component of momentum is maximum at the highest point.
  4. DThe kinetic energy (K.E.) is zero at the highest point of projectile motion.

Correct answer

A. Gravitational potential energy is maximum at the highest point.

Step-by-step solution

In a projectile motion, a particle has two components of velocity. The horizontal component of velocity remains constant over time, while the vertical component of velocity changes.

At highest point, the vertical component of velocity (vy)\left({v}_{y}\right) becomes zero, but the horizontal component is non-zero. So the kinetic energy of the particle is not zero.

The formula to calculate the potential energy (U)\left(U\right) of the particle is given by

U=mgh...................(1)U = mgh . . . . . . . . . . . . . . . . . . . ( 1 )

where, mm is the mass, gg is the acceleration due to gravity and hh is the vertical height attained by the object.

Hence, the potential energy is maximum when the projectile attains the maximum height.

Practice Gravitation on Quantrex Academy →

More from Gravitation

A particle of mass m , and angular momentum ℓ is moving in a circular orbit of radius r_0… JEE Advanced 2026A body of mass m is taken from the surface of earth to a height equal to twice the radius… JEE Main 2026When one moves from a point 16 km below the earth's surface to a point 16 km above the… JEE Main 2026The height in terms of radius of the earth (R) , at which the acceleration due to gravity… JEE Main 2026If a body of mass 1 kg falls on the earth from infinity, it attains velocity (v) and… JEE Main 2026A planet (P_1) is moving around the star of mass 2M in the orbit of radius R . Another… JEE Main 2026Three masses 200 ~kg, 300 ~kg and 400 kg are placed at the vertices of an equilateral… JEE Main 2026Given below are two statements: Statement I : A satellite is moving around earth in the… JEE Main 2026 Full Gravitation list All JEE Main PYQs