1. Compute for the value of the acceleration due to gravity of an object at an altitude equal to twice the radius of the Earth? (radius of Earth = 6.4 x 10^6 m)
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1. Compute for the value of the acceleration due to gravity of an object at an altitude equal to twice the radius of the Earth? (radius of Earth = 6.4 x 10^6 m)
2. Scientists once hypothesized the existence of a planet called Vulcan to explain Mercury’s precession. Vulcan is supposed to be between Mercury and the Sun with a solar distance equal to 2/3 of that of Mercury. What would be its supposed period?
3. What is the period T of a planet which radius is as twice as of Earth when it completes one revolution in 875 days? (Earth radius = 6.38 x 10^5)
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- ormi biochemistry laboratory to examine and analysis circular motion. By this motion, the machine in: performs circular to test the readiness of astronau e blida A velq menblida 1o obnily ige alt ai s1oh bmng-galg lenoltenoos om d the slh ether as one unit. s an application 7. Centrifuge: This machine ope around the blood and urine. In astronomy, the centrifuge Us ed to motion to embark on the journey to space. eru foiw 1sbnilya wollorl a pi pal, pictures "s around a rcular bido A yelg nonblida 30 1obaily Question 1 maselh sr ni batspibni an Haw Git tanis (a) Define angular acceleration. device (b) The angular velocity of a centrifuge is increased from 5.8 revs to 16.4 revs' within 6s. Calculat its angular acceleration. plane Solution lạne (a) Angular acceleration is defined as the rate of "rop change of angular velocity with time and it is "s, directed towards the centre of the circular path. AY PHYSICS Page 151a. Calculate the gravitational force of attraction between the Earth and the Sun if the Sunhas a mass of 1.989 x 1030 kg and is a distance of 149.6 million kilometres from theEarth. b. How would you expect the gravitational force between you and your friend tocompare to your answer from question 1 if you stood 1 metre apart? Explain.B. Answer the following problems. Show your complete solutions. 1. If a stone is thrown vertically upward from the surface of the moon with a velocity of 10 meters per second (m/s), its height (in m) after t seconds (s) is h = 10t - 0.83F. a. What is the velocity of the stone after 3 s? b. What is the velocity of the stone if it has risen by 25 m? 2. A spherical balloon is being inflated. Find the rate of increase if the surface area (S = 4tr²) with respect to the radius r are the following: a. 0.3 m b. 0.61 m C. 0.91 m Differentiation and Integration
- Q.A planet mass m moves in the în verse Lquare Contral M. Į the San- major at b,ropechively the Seun mass of and Sem- minor xes d the orbit are total ererzy of the : planet is TheMars has a Known radius of 3390 Km. Somebody threw a baseball at 990 Km/hr and it orbited the planer succesfuly. a) determine the period of orbit in secords b) Determine the gravitational field strength on Mars in N/Kg (how can I do that if I don´t have the mass of Mars)Solve the following problems. 000 1. Assume that Earth's orbit around the sun is circular, and that the radius of Earth's orbit is about 1.50 x 10" km. Earth completes a full revolution around the sun in 365 days. a. Calculate the tangential velocity of Earth in km/s (you have to convert days to seconds first). b. Calculate the acceleration of Earth towards the sun in m/s (you have to convert days to seconds and km to m first). 2. A certain Ferris wheel with radius 14.0 m is turning at speeds of 7.00 m/s at its farthest point. a. What is the acceleration experienced by a car attached to the rim of the Ferris wheel? b. How long does it take for the Ferris wheel to complete one full revolution?
- alt Z X C V b n m 1514 alt 1. Write the equation for the Force of gravity (weight) on the surface of the earth. 2. What is the value of little g in the equation above? 3. Calculate the force of gravity of a 20 kg mass on Mars. Radius of Mars ctrl 3.40 x 10 m Mass of Mars 6.43 x 1023 kg 4. Calculate the force between 2 asteroids. They are 1000 meters apart, one has a mass of 1,000,000 kg and the other has 10,000,000 kg. 5. The gravitational force between 2 masses is 100 newtons. What is the force if I double the mass of on of the objects? 6. The gravitational force between 2 masses is 100 newtons. What is the force if I double the distance between the masses? 7. T/F The mass of an object can change if I measure it on a different planet. 8. T/F My weight would be slightly less if I climbed to the top of the highest mountain. 9. Draw a free body diagram (force diagram) of an object suspended from a string. 10. Calculate the tension force on string A in the diagram below. Assume a…quo 3. Consider a ring space station, rotating counterclockwise at 0. 6282 rad/s. 0.6282 rad/s C. nugeh met Fig. 1 - a spinning space station. a. What is that angular velocity, O. 6282 rad/s, in revolutions per minute? b. If the centripetal acceleration at the rim of the station is 9.81 m/s², what is the radius of the structure? A chunk of stuff on the rim of the station breaks off, and flies away at a constant velocity in a straight line. Its velocity will be the linear, tangential velocity v it had the instant it broke away from the rim of the station, at the radius found in (b). How fast is it traveling?. Solve the following problems. Use GFSA (Given, Find, Solution, and Answer) on the given space below. Encircle your final answer, write it in scientific notation with 2 decimal places (if possible). You’re involved in the design of a mission carrying humans to the surface of the planet Mars, which has a radius 3.37x106m and a mass of 6.42x1023 kg. The earth weight of the Mar’s lander is 39,200 N. Calculate its weight and the acceleration due to Mar’s gravity at 6.0 x 106 m above the surface of Mars. r= 3.37x106 m h = 6.0x106 m above the surface of Mars.
- For the following questions, start your analyses by considering at least Newton's Law of Gravitation, centripetal acceleration, Kepler's law or Energy Conservation. Take the Gravitational constant to be a. From Earth we can measure the radius of Mars using our telescopes. An estimate for it is 3.39 x 106 m. By sending an exploratory robot to Mars, we determined the acceleration due to gravity on its surface as 3.73 m/s?. Estimate the mass of Mars. b. The Earth revolves around the Sun once a year at a distance of 1.50 x 1011 m. Estimate the mass of the Sun. c. A rocket is launched straight up from Earth's surface at 2100 m/s. By ignoring air resistance, determine the maximum height it reaches?In 1993 the Galileo spacecraft sent home an image of asteroid "243 Ida" and a tiny moon "Dactyl" orbiting the asteroid. Assume that the small moon orbits in a circle with a radius of r = 100 km from the center of the asteroid with an orbital period of T = 27 hours. a. Show and explain how we derived Kepler's 3rd law using Newton's 2nd Law, the definition for centripetal acceleration, and the equation for gravitational force. b. Use your result for Kepler's 3rd Law to determine the mass of the asteroid. c. If the asteroid has a radius of about 16 km calculate the approximate value for the acceleration due to gravity, g, on its surface. d. What velocity would you need to achieve in order to lift off and leave this asteroid? e. Use Newton's 2nd Law, the definition for centripetal acceleration, and the equation for gravitational force to determine an expression for circular orbital velocity. f. What is the orbital velocity of the small moon if we assume it is in a circular orbit?Form a hypothesis: How do you think the distance between objects A and B will affect the strength of the gravitational force between them? This is an educated quess. force of gravity." "The greater the distance, the the Predict: How do you think the gravitational force between two objects will change if the distance between the objects is doubled? "If the distance is doubled, the force of gravity would Measure: Place object A on the x axis at -5 and object B on the x axis at 5. A. What is the distance between the two objects? B. What is the magnitude of the force on object A? FA =