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question_answer1) Match the following List I List II (a) Gravitational Force (p) scalar (b) Universal gravitational constant (q) varies inversely with \[{{r}^{2}}\] (r) varies directly with product of masses (a) a-q, a-r, b-p (b) a-p, b-q, b-r (c) a-r, b-p, b-q (d) a-p, q, r; b-p, q, r
question_answer2) A satellite orbiting close to the surface of earth does not fall down because the gravitational pull of the earth (a) Is balanced by the gravitational pull of the moon (b) Is balanced by the gravitational pull of sun (c) Provides necessary acceleration for its motion along the circular path (d) Makes it weightless
question_answer3) Statement-1 Gravitational force of attraction of earth on an apple is equal to the gravitational attraction of an apple on earth. Statement-2 Newton's law of gravitation obey Newton's third law. (a) Statement-1 is correct, Statement-2 is correct. Statement-2 is correct explanation of Statement-1 (b) Statement-1 is correct. Statement-2 is correct, Statement-2 is not correct explanation of Statement-1 (c) Statement-1 is correct, Statement-1 is incorrect (d) Statement-1 is incorrect, Statement-1 is correct.
question_answer4) If the mass of the earth is increased by 1 % without change in its radius, then (a) The value of g increases by 1% (b) The value of g decreases by 1% (c) The value of g decreases by 2% (d) No change in value of g
question_answer5) If the density of the planet is double that of the earth and the radius 1.5 times that of the earth, the acceleration due to gravity on the planet is (a) \[\frac{4}{3}\]times that on the surface of the earth (b) 3 times that on the surface of the earth (c) \[\frac{3}{4}\]times that on the surface of the earth (d) 6 times that on the surface of the earth
question_answer6) A body weighs 63 N on the surface of the earth. How much will it weigh at a height equal to half the radius of the earth? (a) 10 N (b) 20 N (c) 18 N (d) 28 N
question_answer7) A cricket ball is dropped from a height of 20 meters. What time does it takes to reach the ground?
question_answer8) A body is projected vertically upwards with a velocity 20m/s. What is the maximum height reached by the body? (\[\text{g}=\text{1}0\text{m}/{{\text{s}}^{\text{2}}}\])
question_answer9) A body is projected vertically upwards with a velocity of 19.6 m/s. What is the total time for which the body will remain in the air? \[(g=9.8\,\,m/{{s}^{2}})\]
question_answer10) An elevator is descending with uniform acceleration. To measure the acceleration, a person in the elevator drops a coin at the moment the elevator starts. The coin is 6ft above the floor of the elevator at the time it is dropped. The person observes that the coin strikes the floor in 1 second. Calculate from these data the acceleration of the elevator (\[\text{g}=\text{32 ft}/{{\text{s}}^{\text{2}}}\]).
question_answer11) An object is projected upwards with a velocity of \[\text{1}00\,\text{m}{{\text{s}}^{-\text{1}}}\]. In what will it strikes the ground? \[(g=10m/{{s}^{2}})\]
question_answer12) A foot ball kicked vertically up reaches a height 'h' and comes down to the starting point in 4seconds. Find the value of h.
question_answer13) A stone is projected up from the top of a tower 58.8 m high with a velocity of 19.6 m/s. In what time will it reaches the foot of the tower?
question_answer14) A body falling for 2s covers a distance S equals to that covered in next second. Find the value of S. \[(g=10\text{ }m/{{s}^{2}})\]
question_answer15) Two bodies are thrown vertically upwards with their initial velocity in the ratio 2:3. What is the ratio of the maximum heights attained by them?
question_answer16) To estimate the height of a bridge over a river, a stone is dropped freely in the river from the bridge. The stone takes 2 seconds to touch the water surface in the river. What is the height of the bridge from the water level? \[(g=9.8\,m/{{s}^{2}})\]
question_answer17) A body released from a great height falls freely toward earth. Another body is released from the same height exactly one second later. What is the separation between both the bodies two seconds after the release of the second body?
question_answer18) A healthy young man standing at a distance of 7m from a 11.8 m high building sees a kid slipping from the top floor. With what speed (assumed uniform) should he run to catch the kid at the arms height (1.8 m)?
question_answer19) A body is thrown vertically upwards and rises to a maximum height of 10m. Find the velocity with which the body was thrown upwards. \[(\text{g}=\text{9}.\text{8m}/{{\text{s}}^{\text{2}}})\]
question_answer20) A ball is thrown vertically upwards. It returns 6 seconds later. What is the greatest height reached by ball is ____ (\[\text{g}=\text{1}0\text{m}{{\text{s}}^{-\text{2}}}\]).
question_answer21) A pebble is thrown vertically upwards with a speed of\[\text{2}0\text{m}{{\text{s}}^{-\text{1}}}\]. How high will it be after 2seconds? (Take \[\text{g}=\text{1}0\text{m}{{\text{s}}^{-\text{2}}}\])
question_answer22) A body is dropped from a balloon moving up when it is at a height of 74.4. If it takes 6 sec to reach the ground, what is the velocity of the balloon?
question_answer23) A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time? (Given \[\text{g}=\text{9}.\text{8m}/{{\text{s}}^{\text{2}}}\])
question_answer24) An object thrown vertically upwards from the top of a tower of height 39.2 m, reaches the ground in 4s. What is the velocity with which it is thrown upwards?
question_answer25) A balloon is ascending with a uniform velocity of 15 m/s. A body falls out of it when it is at a height of 50 m from the ground. What is the time taken by the body to reach the ground? [Take\[\text{g}=\text{1}0\text{ m}/{{\text{s}}^{\text{2}}}\]]
question_answer26) In the above problem, what is the distance between the body and the balloon 4 seconds after the body is dropped?
question_answer27) The figure represents an elliptical orbit of a planet around the sun. The planet takes time \[{{T}_{1}}\]to travel from A to B and it takes time\[{{T}_{2}}\]to travel from C to D. If the area CSD is double that of area ASB, find the relationship between\[{{T}_{1}}\]and\[{{T}_{2}}\] (a) \[{{T}_{1}}={{T}_{2}}\] (b) \[{{T}_{1}}=2{{T}_{2}}\] (c) \[{{T}_{1}}=0.5\,{{T}_{2}}\] (d) data insufficient
question_answer28) For a satellite orbiting close to the surface of the earth the period of revolution is 84 min. Find the time period of another satellite orbiting at a distance three times the radius of the earth from its surface.
question_answer29) The moon has a period of 28 days and an orbital radius\[\text{3}.\text{8}\times \text{1}0\text{5 km}\]. What is the orbital radius of a satellite that has a period of one day?
question_answer30) How fast (in\[{{m}^{2}}/s\]) is area swept out by (i) the radius from sun to earth (ii) the radius from earth to moon? Sun to earth distance\[=1.496\times {{10}^{11}}m,\]earth to moon distance\[=\text{3}.\text{845}\times \text{1}{{0}^{\text{8}}}\] m and period of revolution of moon\[=27\frac{1}{3}\]days (Hint: Area swept\[\frac{dA}{dt}=\frac{\pi {{R}^{2}}}{T}\])
question_answer31) Two satellites \[{{S}_{1}}\]and \[{{S}_{2}}\]are revolving round a planet in coplanar and concentric circular orbits of radii \[{{R}_{1}}\]and \[{{R}_{2}}\]in the same direction respectively. Their respective periods of revolution are 1 hr and 8 hrs. Find the radius of the orbit of satellite \[{{S}_{1}}\]is equal to \[{{10}^{4}}km\]. Then-relative speeds when they are closest, in kmph.
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