2) A Space Shuttle is propelled from earth using liquid hydrogen. The liquid hydrogen is stored in the external tank. The tank that holds the liquid hydrogen is a cylinder approximately a 13ft by 96 ft. The density of liquid hydrogen is approximately 71 kg/m³. Because the weight of the spacecraft and tanks are important for liftoff you are tasked with finding the weight of the liquid hydrogen. What is the mass in kg?

Mountain pull. A large mountain can slightly affect the direction of “down” as determined by a plumb line. Assume that we can model a mountain as a sphere of radius R=2.00 km and density (mass per unit volume) 2.6*103 kg/m3. Assume also that we hang a 0.50 m plumb line at a distance of 3R from the sphere’s center and such that the sphere pulls horizontally on the lower end. How far would the lower end move toward the sphere?

The average density of the planet Neptune is 1.67x10 kg/m The ratio of the mass of Uranus to that of Neptune is 0.840. The ratio of the radius of Uranus to that of Neptune is 1.03. Find the average density of Uran us. 11 -

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What is TA if the masses of the objects are m1=25 kg and m2=18 kg?

During the apolo missions, astronauts landed on the moon and returned to the earth with a massive haul of rocks. The gravity on the moon is 5.30 ft/s^2. Determine the ff: a) weight (lb) of the rocks on the earth  based on the fact that the rock on the moon weighed 139lb  b) the mass of the rock in slugs

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.

Q1\ Determine the ratio of the force exerted by the sun on the moon to that exerted by the earth on the moon for position A of the moon. Repeat for moon position B. where Me 5.976(1024) kg, Mm 7.347 x 1022 Kg. M, 1.99(1030) Kg. The distance between moon and the earth =384.398(10)m and distance between earth and the sun == 150(10) m. G-6.673(10¹)m³/kg.s² Sunlight AD B

Complete the following statement: The center of mass is a. the region of an object where the density has the largest value. b. the region of an object where most of the mass is located. c. the point within an object that moves as if all of the object's mass where located there. d. the point at the geometrical center of an object. e. the only point on an object at which the gravitational force acts.

11) Newton's Law of Gravity says that the force of gravity between any two objects is G d2 where the m's are the masses of the objects and, d is the distance between them, and G is a constant that depends on your choice of units. This includes big things like planets and small things like you and your pets. We don't need to know the values of the masses to think about what happens as two objects approach each other! lim G d--0+ d? If you think too long about your answer, it may be a bit troubling. What does it say about the force of gravity when you actually touch your pets?