The mass of a space ship is 1000 kg . It is to be launched from earth's surface out into free s

step 1 Hello guys, now fusion is the mass of the space is 8 ,000 kg. It is to be launched from the Eart

The mass of a space ship is 1000 kg . It is to be launched...

The mass of a space ship is $1000 \mathrm{~kg} .$ It is to be launched from earth's surface out into free space the value of $\mathrm{g}$ and $\mathrm{R}$ (radius of earth) are $10 \mathrm{~ms}^{-2}$ and $6400 \mathrm{~km}$ respectively the required energy for this work will be $=\ldots \ldots \ldots .$ J (A) $6.4 \times 10^{11}$ (B) $6.4 \times 10^{8}$ (C) $6.4 \times 10^{9}$ (D) $6.4 \times 10^{10}$

The mass of a space ship is $1000 \mathrm{~kg} .$ It is to be launched from earth's surface out into free space the value of $\mathrm{g}$ and $\mathrm{R}$ (radius of earth) are $10 \mathrm{~ms}^{-2}$ and $6400 \mathrm{~km}$ respectively the required energy for this work will be $=\ldots \ldots \ldots .$ J
(A) $6.4 \times 10^{11}$
(B) $6.4 \times 10^{8}$
(C) $6.4 \times 10^{9}$
(D) $6.4 \times 10^{10}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Relation between Gravitational Field Strength and Potential Energy

Understanding how gravitational field strength (g) relates to the gravitational potential energy simplifies energy calculations. At Earth’s surface, g is given by GM/R², which allows one to express the potential energy difference needed to lift an object from the surface to infinity as m·g·R. This relationship is critical when dealing with problems involving energy requirements for escaping a gravitational field.

Gravitational Potential Energy

This concept refers to the energy an object possesses due to its position in a gravitational field. In the context of launching a spacecraft, calculating the change in gravitational potential energy involves finding the work done against Earth's gravity when moving the object from the surface to an infinitely distant point. The formula ?U = GMm/R, or its equivalent using g (i.e., m·g·R), is essential for determining the energy required to overcome the gravitational pull.

Transcript

Please give Ace some feedback