The 400 SS is a sought after model especially with the twin D6-370 hp Volvo diesels. V is the linear velocity of the satellite at a point on its circular track. Answer: Here, mass of each star, M = 2 x  1030 kg Most of the book is within the limits of CBSE syllabus. It is equal to 6.674 x 10^-11. (c) mass of the body Radius of earth = R = 6400 km. A body weighs 63 N on the surface of the Earth. Answer: (orbital radius = 1.5 x 1011 m). (d) The formula – GMm (1/r2-1/r1) is more/less accurate than the formula mg (r2 – r1) for the difference of potential energy between two points r2 and r1 distance away from the centre of the Earth. (You can check this yourself using the data available in the succeeding exercises). (b) Acceleration due to gravity increases/decreases with increasing depth (assume the Earth to be a sphere of uniform density). (b) The escape speed does not depend on the location from where a body is projected. If a satellite is orbiting the Earth 250 km above the surface, what acceleration due to gravity does it experience? Concepts of Physics Part 1, Numerical Problems with their solutions, Short Answer Solutions for Chapter 11 - Gravitation from the latest edition of HC Verma Book. At what distance from the earth’s centre is the gravitational force on the rocket zero? Question 8. Suppose that the distance of either sphere from the mid-point of the line joining their centre is r. Then r=d/2=0.5 m. The gravitational field at the mid-point due to two spheres will be equal and opposite. Answer: Mass of Sun, M = 2 x 1030 kg; Mass of Earth, m = 6 x 1024 kg Distance between Sim and Earth, r = 1.5 x 1011 m What is the gravitational field and potential at the mid point of the line joining the centres of the spheres ? 1. 23. Time period, T = 365.25 x 24 x 60 x 60 s Question 8. Gravitational acceleration is a quantity of vector, that is it has both magnitude and direction. Gravitational forces are independent of medium. 19. A long vertical tube is connected as shown. Noah Formula is riding a roller coaster and encounters a loop. Mass of the spaceship = 1000 kg, Mass of the Sun = 2 x 1030 kg. It is the gravitational force acting between two bodies lying in the gravitational field of each other. Each of the two bodies experiences the same force directed towards the other. Sincerely, Pythagorean Formula: For the above right-angled triangle, the sum of the squares of base and height is equal to the square of the hypotenuse. If 20% of its initial energy is lost due to Martian atmospheric resistance, how far will the rocket go from the surface of mars before returning to it? Here, m is the mass of the object for which the gravitational acceleration is to be calculated. Radius of the orbit of Mars = 2.28 x 1011 m, G = 6.67 x 10-11 N m2 kg-2. Two stars each of one solar mass (=2 x  1030 kg) are approaching each other for a head on collision.When they are at a distance  109 km, their speeds are negligible. (f) Total energy throughout the orbit remains constant. Neglect the effect of other planets etc. If the size of the spaceship is extremely large, then the gravitational effect of the spaceship may become measurable. (d) The escape speed of a body depends upon the height of the location from where the body is projected, because the escape velocity depends upon the gravitational potential at the point from which it is projected and this potential depends upon height also. Answer: (a) No. 25. (b) In the conditions of weightlessness, the face of the astronaut is expected to get more supply. The radius of each star is  104 km. 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? (b) decreases Ignore the presence of the Sun and other planets. (a) Acceleration due to gravity increases/decreases with increasing altitude. The acceleration due to gravity is 1.620 m/s2. A Saturn year is 29.5 times the Earth year. The standard form of the quadratic equation is ax² + bx + c, where a,b and c are real numbers and are also known as numeric coefficients.
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