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- An object has a mass of 100 kg.a) How much does it weigh on Earth?b) How much does it weigh on the Moon (gmoon = 1.6 m/sz)?9. Consider the falling object of mass 10 kg in Example 2, but assume now that the drag force is proportional to the square of the velocity. a. If the limiting velocity is 49 m/s (the same as in Example 2), show that the equation of motion can be written as 1 (49² - 1²). 245 dy dt Also see Problem 21 of Section 1.1. b. If y(0) = 0, find an expression for v(t) at any time. Gc. Plot your solution from part b and the solution (26) from Example 2 on the same axes. d. Based on your plots in part c, compare the effect of a quadratic drag force with that of a linear drag force. e. Find the distance x(t) that the object falls in time t. Nf. Find the time T it takes the object to fall 300 m.what are the magnitude and direction of the gravitational force exerted on Moe by 11.lf Moe exerts a gravitational force of 3.65 x 10-8 N on Larry, who is standing east of him, 10.If an object on the earth experiences a gravitational force of 25 N toward the center of the earth, what are the magnitude and direction of the force the object exerts on the earth? Larry? If each man has a mass of 70.0 kg, how far apart are they standing? If Curly were to bump into Moe, knocking him halfway to Larry, how would the new gravitational force between Moe and Larry compare to the original? a. ¼ as great b. ½ as great c. the same d. twice as great e. four times as great
- Two forces act on a 2.90 kg object, the gravitational force and a second, constant force. The object starts from rest and in 1.20 s is displaced (4.10 3.30ĵ) m. Write the second force in unit vector notation. (Enter your answer in kg. m/s². Assume the gravitational force acts in the -ĵ direction.) kg. m/s² FRhea, one of Saturn's moons, has a radius of 764 km and an acceleration due to gravity of 0.265 m/s2 at its surface.Part ACalculate its mass.Express your answer with the appropriate units. m =nothingnothingRequest AnswerPart BCalculate its average density.Express your answer with the appropriate units.A woman whose mass is 70 kg on Earth's surface is in a spacecraft at a height of twice Earth's radius (that is, 3 Earth radii) above Earth's surface. What is her mass (not weight) there? BIU S S.
- Assume that planet A has radius RA and mass MA, and planet B has radius Rg and mass Mg. Let ga and gB are the accelerations due to gravity at their surfaces, respectively. If MA = MB, and RA = 2Rg The ratio (g3/gA) is: А. 1 В. 2 С. 4 D. 0.5 E. 0.25 O A В O D1.34. During launch a NASA Space Shuttle Vehicle had a maximum acceleration of approximately 3.0g, where 1.34. During launch a NASA Space Shuttle Vehicle had a maximum accelcration of approximately 3.03. et g is standard gravitational acceleration. What total weight in Ib, and in N should be used for a 180 ib, cren member? Ans 540 lb: 2402 N 16Concern the planet Mars, which has a radius of 3400 km. On Mars, the acceleration due to gravity is 3.72 m/s^2 The mass of the sun is 2.0×1030 kg, while the (actual) mass of Mars is 6.4×1023 kg. The average distance from Mars to the sun is 228 million kilometers. a. What is the gravitational force acting on Mars due to the sun? What is the reaction force to this force? Name or explain the force; don’t give a value. b. What are the speed and angular velocity of Mars? Compare the values to those of Earth. c. Using only information provided above, estimate the length of a year on Mars. Compare the value to that of Earth.
- Question 6. A planet has a mass of 7.93 x 1023 kg and a radius of 2.65 x 106 m. (a) What is the acceleration due to gravity on this planet? (b) How much would a 51.9-kg person weigh on this planet? Ans: 7.53 m/s²; 390.9 N 10 DITS Das neid ada bas a00 ant rowlod portsh Question 7. A car (m - 1640 mHINT M. kg (a) Find the magnitude of the gravitational force (in N) between a planet with mass 6.50 x 1024 and its moon, with mass 2.55 x 10 kg, if the average distance between their centers is d= 2.90 x 108 m. %3D N (b) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) m/s? (c) What is the planet's acceleration (in m/s²) toward the moon? (Enter the magnitude.) m/s2Scientists are experimenting with a kind of gun that may eventually be used to fire payloads directly into orbit. In one test, this gun accelerates a 6.2-kg projectile from rest to a speed of 3.1 × 103 m/s. The net force accelerating the projectile is 4.8 × 105 N. How much time is required for the projectile to come up to speed?Type your answer here Units Choose your answer here