Mars in a Minute: How Do You Get to Mars?

A spaceship is stationed on Mars. How much energy must be expended on the spacesship to rocket it out of the solar system ? Mass of the spaceship 1000 kg, mass of the sun= 2xx10^(30) kg, mass of Mars= 6.4xx10^(23) kg, radius of Mars 3395 km, radius of the orbit of Mars = 2.28xx10^(8) Km, G= 6.67xx10^(-11)Nm^(2)Kg^(-2).

Study the following diagram and answer questions based on it How many people who like Mars like Jupiter also ?

In the echo method of estimating distnces, a radar signa was sent towards the Mars. If the echo was received after 8 minute 20 second, how far wat the Mars from the earth at that instant?

At its closet approach, the distance between the mars and the earth is found to be 60 million km. When the planets are at this closet distance, how long would it take to send a radio message from a space probe of mars to earth?

At the closest approach, the distance between Mars and Earth is found to be 58 million km . When planets are at this closest distance, how long would it take to send a radio message from a space probe of mars to earth?

The Earth has a circular orbit of radius r and period t around the sum, Mars has a circular orbit of radius R and period T. In order to send a spacecraft from the Earth to Mars, it is convenient to launch the spacecraft inot an elliptical orbit whose perihelion coincides with the orbit of the Earth and whose aphelion coincides with the orbit of Mars, this orbit requires the least amount of energy for a trip to Mars. The time t' taken by a spacecraft to reach Mars from the Earth satisfies:

A rocket of mass m is field vertically from the surface of Mars of mass M , radius R with a sped upsilon . If 20% of its initial energy is lost due to Martain atmosheric resistance, how far will the rocket go from the surface of Mars before returing to it? Let G be the gravational constant.

Why is life not possible on Venus and Mars?