An astronaut accidentally gets separateed out of his small spaceship accelerating in inter-stellar space at a constant rate of `50ms^(-2)`. What is the acceleration of the astronaut the instant after he is outside the spaceship? (Assume that there are no nearby stars to exert gravitational force on him.)

An astronaut accidentally gets separated out his small spaceship accelerating in interstellar space at a constant rate of 100ms^(-2) . What is the acceleration of the astronaut the instant after he is outside the spaceship? (Assume that there are no nearby stars to exert gravitational force on him)

Consider ·an astronaut trapped in space, isolated from surrounding. He can reach his spacecraft if some velocity is gained by him somehow. Suddenly he realises that he has got a small pencil in his pocket. How can he acquire velocity (momentum) ? We take the system to consist of the astronaut and the pencil as shown in Fig. 4.4. We assign the positive direction of the x-axis to be the direction of throw. The gravitational force acts on the $Y5tem, which indeed is external force. However, this force is directed along the y-axis, it will not change momentum along x-axis. we· can thus apply the conservation of momentum to this system. What happens to the force exerted by the astronaut on the pencil while throwing it? m_(a) vecV_(ai) + m_(p)vecV _("pi") = m_(a) vecV _(af) + m_(p)vecV _(pf) 0 + 0 = M_(a)vecV_(af) + m_(p)vecV _(pf) vecV_(af) =-(m_(P)vec_(pf))/m_(a) The negative sign indicates that the astronaut moves in the direction opposite. to the direction of motion of the pencil.

Answer the following: (a) You can shield a charge from electrical forces by putting it inside a hollow conductor. Can you shield a body from the gravitational influence of nearby matter by putting it inside a hollow sphere or by some other means? (b) An astronaut inside a small spaceship orbiting around the Earth cannot detect gravity. If the space station orbiting around the Earth has a large size, can he hope to detect gravity? (c) If you compare the gravitational force on the Earth due to the Sun to that due to the Moon, you would find that the Sun’s pull is greater than the Moon’s pull. (You can check this yourself using the data available in the succeeding exercises). However, the tidal effect of the Moon’s pull is greater than the tidal effect of Sun. Why?

A spaceship is orbiting the earth in a circular orbit at a height equal to radius of the earth (R_(c) = 6400 km) from the surface of the earth. An astronaut is on a space walk outside the spaceship. He is at a distance of l = 200 m from the ship and is connected to it with a simple cable which can sustain a maximum tension of10 N. Assume that the centre of the earth, the spaceship and the astronaut are in a line. Mass of astronaut along with all his accessories is 100 kg. Do you think that a weak cable that can only take a load of 10 N, can prevent him from drifting in space ? Make a guess. Estimate the tension in the cable. [Acceleration due to gravity on the surface of [ Earth =9.8m//s^(2) ]

A cyclist is riding with a speed of 27 km h^(-1) . As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate 0.5 ms^(-2) . What is the magnitude and direction of the net acceleration of the cyclist on the circular turn ?

A cylclist is riding with a speed of 27 km h^-1 . As he approaches a circular turn on the road of radius 80 m , he applies brakes and reduces his speed at the constant rate of 0.5 ms^-2 . What is the magnitude and direction of the net acceleration of the cyclist on the circular turn ?