A group of engineers has landed on the moon, and they wish to determine the mass of some rocks. They have a spring scale calibrated to read pounds mass at a location where the acceleration of gravity is 9.81m/s-2. One of the moon rocks gives a reading of 8.5on this scale. What is its mass? What is its weight on the moon? Take g(moon) = 1.622m/s^-2
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- Newton’s version of Kepler’s third law is P2 = 4 π2 / [G (M1 + M2)] · a3, where G is the gravitational constant, which is equal to 6.67*10-11 m3 kg-1 s-2. NASA's New Horizons mission found that Pluto's moon Charon orbits Pluto every 5.3 days at an average distance of 20400.0 km. What is the combined mass (in kg) of Pluto and Charon?The gravitational force between two people is found to be 5.9 x 10-11 N. What would the gravitational force be between the two people if person A's mass is decreased to 1/3 the original value, person B's mass is increased to 3/2 of the original mass, and the separation distance between them is increased by a factor of 2? Expressed in scientific notation, is a.b x 10 cd N. The values for a, b, c, and d are J 1 E X $ 4 R C C F5 de Lo % 5 a DA F6 6 T Y ✈ ? & 7 U F8 * 1 8 F9 2 F10 ( 93 O and F11 ) 0 1/4 § P F12 PrtSc Impr. Écr. 1/2 + 11 Insert Ins = 3/4 [[A Delete Suppr. 11>The gravitational acceleration constant gx on Planet X can be approximated by determining the acceleration of an object assuming Newton's Law of Universal Gravitation. If gx = 3.8 m/s^2 , G = 6.7 x 10^-11 Nm^2/kg^2, and Planet X's radius is 4000 km, what is the approximate mass of planet X? Give answer in kg.
- Four masses are at the vertices of a square. Find the magnitude of the gravitational force on the mass m1. Given: m1=6kg, m2=80 kg, m3=80kg, m4=80 kg, r=24m. G=6.674×10-11N.m2/kg2.Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is GmM F= where G is the gravitational constant and r is the distance between the bodies. (a) Find dF/dr. dF dr = What is the meaning of dF/dr? O dF/dr represents the amount of force per distance. O dF/dr represents the rate of change of the mass with respect to the distance between the bodies. O dF/dr represents the rate of change of the distance between the bodies with respect to the force. O dF/dr represents the rate of change of the mass with respect to the force. O dF/dr represents the rate of change of the force with respect to the distance between the bodies. What does the minus sign indicate? O The minus sign indicates that the force between the bodies is decreasing. O The minus sign indicates that as the distance between the bodies increases, the magnitude of the force decreases. O The minus sign indicates that as the distance between the bodies increases, the…Find the magnitude of the gravitational force (in N) between a planet with mass 6.75 * 10 ^ 24 * kg and its moon, with mass 2.55 * 10 ^ 22 * kg if the average distance between 2.60 * 10 ^8 m. What is the moon's acceleration (in m /s ^ 2) toward the planet? What is the planet's acceleration (in m/s^ 2 ) toward the moon?
- Mars has a mass of 6.39 × 1023 kg and radius 3.39 x 106 m. What is the magnitude of the gravitational acceleration g on Mars' surface, in m/s2? Use G = 6.67 x 10-11 N-m2/kg?. Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.Planet X has four times the diameter and five times the mass of earth. What is the ratio gx:ge of gravitational acceleration at the surface of Planet X to the gravitational acceleration at the surface of the earth? Please put the ratio on decimal form not on fraction form.The mass of Venus is 81.5%% that of the earth, and its radius is 94.9%% that of the earth. Compute the acceleration due to gravity on the surface of Venus from these data. Express your answer in meters per second squared. If a rock weighs 75.0 NN on earth, what would it weigh at the surface of Venus? Express your answer in newtons.
- Europa orbits Jupiter at a distance of 6.7 x 108 m from Jupiter's cloudtops (the surface of the planet). If Jupiter's mass is 1.9 x 1027 kg and radius is 6.8 x 107 m, what is the speed of Europa as it orbits in m/s? Round to the nearest hundredth. Don't worry about putting units, just put the number.Celine weighs 625 N on the 5 puntos Earth's surface. At what height above the Earth's surface would she weighs 400 N? d1= 6.37 x 10^5 m *A new planet named Vulcan has been discovered. Vulcan is a rather large planet with a radius twice that of Earth and a mass three times that of Earth. An astronaut has a mass of 60.0 kg and weighs about 132 lbs. on Earth. If the astronaut is on the planet Vulcan, what is her weight? The following numerical values may be helpful in this question. G = 6.67 ∙10-11 N∙m2/ kg2 Earth’s mass = 5.98 · 1024 kilograms g = 9.80 m/sec2 1 kilometer = 1000 meters