Write a short note on gravitational potential. - Vidyadip

Question

Write a short note on gravitational potential.

✓

Answer

The gravitational potential energy of the system of Earth and any mass m at a distance r from the centre of the Earth is given by,
$\begin{aligned} U & =-\frac{ GMm }{ r } \\ & =\left(-\frac{ GM }{ r }\right) m \end{aligned}$
$=\left[\left( V _{ E }\right)_{ r }\right] m$
The factor $-\frac{ GM }{ r }=\left( V _{ E }\right)_r$ is defined as the gravitational potential of Earth at distance r from its centre.
As the potential depends only upon mass of the Earth and location of the object, it is same for any mass m bound to the Earth.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Answer the following in Brief" from Gravitation→Gravitation — all question types→Physics STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

A car moving along a straight road with a speed of 120 km/hr, is brought to rest by applying brakes. The car covers a distance of 100 m before it stops. Calculate
(i) the average retardation of the car
(ii) time taken by the car to come to rest.

Explain the similarities between $R =\frac{V}{I}$ and $\rho=\frac{E}{J}$

Draw a neat diagram and state I-V characteristics of an ideal diode.

What are the two different modes of communication?

A ball is thrown at an angle $\theta$ and another ball is thrown at an angle $(90^\circ – \theta )$ with the horizontal direction from the same point with velocity $39.2 \ ms^{-1}.$ The second ball reaches $50 m$ higher than the first ball find their individual heights. $[$Take $g = 9.8 \ ms^{-2}]$

A hiker stands on the edge of a cliff $490 m$ above the ground and throws a stone horizontally with an initial speed of $15 \ ms^{-1}.$ Neglecting air resistance, find the time taken by the stone to reach the ground, and the speed with which it hits the ground. Take $= 9.8 \ m/s^2.$

State the restrictions for having images produced by spherical mirrors to be appreciably clear.

Determine the vector product of $\overrightarrow{ v _1}=2 \hat{i}+3 \hat{j}-\hat{k}$ and $\overrightarrow{ v _2}=\hat{i}+2 \hat{j}-3 \hat{k}$ are perpendicular to each other, determine the value of $a$.

$v=a t+\frac{b}{t+c}+v_0$ is a dimensionally valid equation. Obtain the dimensional formula for $a$, $b$ and $c$ where $v$ is velocity, $t$ is time and $v _0$ is initial velocity.

A composite wire is prepared by joining a tungsten wire and steel wire end to end. Both the wires are of the same length and the same area of cross section. If this composite wire is suspended to a rigid support and a force is applied to its free end, it gets extended by $3.25mm$. Calculate the increase in length of tungsten wire and steel wire separately.
[Given: $Y_{steel} = 2 \times 10^{11} Pa$, $Y_{Tungsten} = 4.11 \times 10^{11} Pa$]