﻿ With what velocity must a body be thrown upward from the surface of the earth so that it reaches a height of 10 Re? Earth’s mass  and G = 6.67 × 10 –11 Nm2kg–2. : Kaysons Education

# With What Velocity Must A Body Be Thrown Upward From The Surface Of The Earth So That It Reaches A Height Of 10 Re? Earth’s Mass  and G = 6.67 × 10 –11 Nm2kg–2.

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## Question

### Solution

Correct option is

Let m be the mass of the body. The gravitational potential energy of the body at the surface of the earth is

The potential energy at a height h = 10 Re above the surface of the earth will be

∴ increase in potential energy is

This increase will be obtained from the initial kinetic energy given to the body. Hence if the body be thrown with a velocity v, then

Substituting the given values, we get

#### SIMILAR QUESTIONS

Q1

Calculate the velocity of projection of a particle so that the maximum height attained by the particle is 0.5 Re, where Re is radius of earth. The mass of earth is Me.

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A satellite is revolving in a circular orbit at a distance of 2620 km from the surface of the earth. Calculate the orbital velocity and the period of revolution of the satellite. Radius of the earth = 6380 km, mass of the earth =  Nmkg–2

Q3

A satellite is revolving in a circular orbit at a distance of 3400 km. calculate the orbital velocity and the period of revolution of the satellite. Radius of the earth = 6400 km and g = 9.8 ms –2.

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Q8

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Q9

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(Mass of earth = 6.0 × 1024 kg, G = 6.67 × 10–11 Nm2 kg –2).

Q10

A rocket is launched vertically from the surface of the earth with an initial velocity of 10 km s–1. How far above the surface of the earth would it go? Mass of the earth = 6.0 × 1024 kg, radius = 6400 km and G = 6.67 × 10 –11 Nm2 kg –2