Gravitation

Q: The mass of a spaceship is \$1000\ kg\$. It is to be launched from the earths surface out into free space. The value of \$g\$ and \$R\$ (radius of earth) are \$10\ m/s\$ and \$6400\ km\$ respectively. The required energy for this work will be :

\$\displaystyle W= \frac{GMm}{r}\$ \$\displaystyle =gR^2 \times \frac{m}{R}= mgR\$ \$=1000 \times 10 \times 6400 \times 10^3\$ \$=6.4 \times 10^{10}\$

Q: If g is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass m raised from the surface of the earth to a height equal to the radius R of the earth, is:

Acceleration due to gravity on earth's surface\$=g=\dfrac{GM}{R^2}\$.Gain in potential energy=\$\dfrac{GMm}{R}-\dfrac{GMm}{2R}=\dfrac{GMm}{2R}=\dfrac{1}{2}mgR\$

Question

The mass of a spaceship is $1000 k g$ . It is to be launched from the earths surface out into free space. The value of $g$ and $R$ (radius of earth) are $10 m / s$ and $6400 k m$ respectively. The required energy for this work will be :

Gravitation

Physics 8067 Views

The mass of a spaceship is 1000 kg. It is to be launched from the earths surface out into free space. The value of g and R (radius of earth) are 10 m/s and 6400 km respectively. The required energy for this work will be :

If g is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass m raised from the surface of the earth to a height equal to the radius R of the earth, is:

Physics
8067 Views

The mass of a spaceship is $1000 k g$ . It is to be launched from the earths surface out into free space. The value of $g$ and $R$ (radius of earth) are $10 m / s$ and $6400 k m$ respectively. The required energy for this work will be :