In the following two exercises, choose the correct answer from among the given ones:
The gravitational intensity at the centre of a hemispherical shell of uniform mass
density has the direction indicated by the arrow (see Fig 7.11) (i) a, (ii) b, (iii) c, (iv) 0.
Which of the following symptoms is likely to afflict an astronaut in space (a) swollen
feet, (b) swollen face, (c) headache, (d) orientational problem.
A comet orbits the sun in a highly elliptical orbit. Does the comet have a constant (a)
linear speed, (b) angular speed, (c) angular momentum, (d) kinetic energy, (e) potential
energy, (f) total energy throughout its orbit? Neglect any mass loss of the comet when
it comes very close to the Sun.
Does the escape speed of a body from the earth depend on (a) the mass of the body, (b)
the location from where it is projected, (c) the direction of projection, (d) the height of
the location from where the body is launched?
Choose the correct alternative:
(a) If the zero of potential energy is at infinity, the total energy of an orbiting satellite
is negative of its kinetic/potential energy.
(b) The energy required to launch an orbiting satellite out of earth’s gravitational
influence is more/less than the energy required to project a stationary object at
the same height (as the satellite) out of earth’s influence.
If cot x = –
5
12 , x lies in second quadrant, find the values of other five
trigonometric functions.
If cos x = –
3
5
, x lies in the third quadrant, find the values of other five
trigonometric functions.
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