JEE Main · 2021 · 20 Jul 2021 · Shift 1 · Gravitation

WhatsApp Email
A person whose mass is 100 kg travels from Earth to Mars in a spaceship. Neglect all other object in sky and take acceleration due to gravity on the surface of the Earth and mars as and respectively. Identify from the below figures, the curve that fits best for the weight of the passenger as a function of time.
  1. (A)(c)✓ Correct
  2. (B)(a)
  3. (C)(b)
  4. (D)(d)

Answer: (A)

Solution

At the start the passenger rests on Earth and weighs N; at the end the passenger rests on Mars and weighs N. In between, the pulls of the two planets act in opposite directions and the field strength falls off with distance, so the weight decreases smoothly, becomes exactly zero at the neutral point where the two pulls cancel, and then grows again as Mars is approached. Weight is the magnitude of the gravitational force, so it can never take a negative value. The curve that fits is the one that leaves N, falls to touch zero once at an intermediate time, and then rises to N.

JEE Main · 2021 · 20 Jul 2021 · Shift 1 · Single correct option

More JEE Main questions on Gravitation

  1. The escape velocity from a spherical planet A is 10 km/s. The escape velocity from another planet B whose density and radius are 10% of those of planet A, is ______ m/s.
    JEE Main 2026View solution →
  2. Net gravitational force at the centre of a square is found to be when four particles having mass and are placed at the four corners of the square as shown in figure and it is when the positions of and are interchanged. The ratio …
    JEE Main 2026View solution →
  3. Given below are two statements:
    Statement I: A satellite is moving around earth in the orbit very close to the earth surface. The time period of revolution of satellite depends upon the density of earth.
    Statement II: The time period of revolution of the satellite is …
    JEE Main 2026View solution →
  4. Three masses 200 kg, 300 kg and 400 kg are placed at the vertices of an equilateral triangle with sides 20 m. They are rearranged on the vertices of a bigger triangle of side 25 m and with the same centre. The work done in this process ______ J.
    (Gravitational constant …
    JEE Main 2026View solution →
  5. Initially a satellite of 100 kg is in a circular orbit of radius . This satellite can be moved to a circular orbit of radius by supplying of energy. The value of is ______.
    (Take …
    JEE Main 2026View solution →
  6. If a body of mass 1 kg falls on the earth from infinity, it attains velocity (v) and kinetic energy (k) on reaching the surface of earth. The values of v and k respectively are ____.
    (Take radius of earth to be 6400 km and )
    JEE Main 2026View solution →