Mechanics | Relativity Answers

A satellite of mass 2.00X10^4 kg is placed in orbit around Jupiter. The mass of Jupiter is 1.90X10^27 kg. The distance between the satellite and the centre of Jupiter is 7.24X10^7 m.
a) If the mass of Io were to suddenly double, by what amount would the force of gravitational attraction change? (Do not actually calculate the force of attraction; just determine how much more or less the force of gravity would change.)
b) If the distance between Jupiter and Callisto double (2To), by what amount would the force of gravitational attraction (Fg) change?

1. IF a small planet were discovered whose orbital period was twice that of Earth, how many time farther from the Sun would this planet be?
2. Determine Kepler's constant for any satellite of Earth.

A satellite of mass 2.00X10^4 kg is placed in orbit 6.00X10^5 m above the surface of Jupiter.
a)Determine the force of gravitational attraction between the satellite and Jupiter.
b)What must be the orbital speed of the satellite?
c)What must be the value of the gravitational field constant, g, at the location of the satellite?
d)One of the moons of Jupiter is Europa. Its period of motion is 3.07X10^5 s.What must be the radius of its orbit?
e)If a satellite was placed in orbit around Europa at a height of 100.0 km above the surface of Europa, and the period of motion was 7.58X10^3s, what must be the mass of Europa? The radius of the moon Europa is 1.57X10^6 m.

a vehicle of mass 20kg is moving with a velocity of 4ms,find the magnitude of the force that is to br applied on the vehicle so that the vehicle have a velocity of 1ms after travelling a distance of 20m.

A force of 50g and a force of 60g act an angle of 37° between them. Determine the resultant using cosine law

There is a tower of height H a boy throws a ball from the tower in upward direction and it reaches the ground in time T1, another boy throws a ball from the tower in direction parallel to the ground. It reaches the ground in time T2 Another boy just leaves the ball from the top of the tower and it takes time T to reach the ground. Find T with respect to T1 and T2. Please it is urgent.

4. You make the following measurements of an object: 42 kg and 22 m3. What would the object’s density be? Show your work for credit and include final units.


5. Explain why a chlorinated swimming pool water would be a homogenous mixture?

6. Both slicing a tomato and a chemical change such as burning toast cannot be reversed. However, why is slicing a tomato still considered only a physical change?

A train travels between two stations ½ mile apart in a minimum time of 41 sec. If the train accelerates and decelerates at 8 ft/sec^2, starting from rest at the first station and coming to a stop at the end of the station, what is its maximum speed in mph? how long does it travel at this top speed?

Derive Einstein’s formula for mean square displacement of a Brownian particle.

Write the expressions for the work done for (i) paramagnetic substance, and
(ii) stretched wire. Calculate the work done on the steel wire of length 2.5 m and area
of cross-section 2.5 × 10−6 m2 is suspended from torsion head when a 5 kg weight is
suspended at its free end. Take Y = 2 × 1011 Nm−2.