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- A climber who is 75 kgs in mass reaches the peak of a mountain. If the mutual attraction between the climber and the Earth is 735.09 N, how tall is the mountain in meters? radius of the Earth = 6.38 x 106 m mass of the Earth = 5.98 x 1024 kgsA storage bin has the shape of a cylinder with a conical top. What is the volume of the storage bin if its radius is r = 5.4 ft, the height of the cylindrical portion is h = 9.8 ft, and the overall height is H = 17.1 ft?A silver sphere with a radius of 9.9 cm weighs the same as a certain aluminum cube. How long are the sides of this cube (in cm)?
- A spool of thread has an average radius of 1.00 cm. If the spool contains 62.8 m of thread, how many turns of thread are on the spool? 3140 1000 314 100Schwarzschild radius RS of a black hole is the maximum distance from the black hole’s center at which light cannot escape its gravitational field. The quantity RS (with dimensions of length) is dependent on the mass of the black hole M, the speed of light c, and the gravitational constant G. Based on the dimensions of these four parameters, predict an equation for the Schwarzschild radius. Hint: G has dimensions of [L3/MT2]A Tire has a radius of 0.34 m. If it is driven of 2.7 km, What is the total angle that it has rotated ?
- The wheel of an odometer has a radius of 30.00 cm. It was used to measure the distance between two stations A and B. If the odometer counter reads 226. How far is the distance from A to B? Express your answer in meters.Two spheres are cut from a certain uniform rock. One has radius 4.25 cm. The mass of the other is eight times greater. Find its radius. cm Need Help? Read It Watch It P Type here to search DELL F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 PriScr Insert Delete %23 %24 of & Backspa 4 7 9 Y UA typical tire for a compact car is 22 inches in diameter. If the car is traveling at 60miles per hour, find the number of revolutions the tire makes per minute.
- The volume of a solid cylinder is given by V = pr2h, where r is the radius and h is the height. You measure the radius and height of a thin cylindrical wire and obtain the results r = 0.036 cm and h = 12.1 cm. What do your measurements give for the volume of the wire in mm3? Use the correct number of significant figures in your answer.The planet Mars has a mass of 6.42x10^23 kg and a radius of 3.38x10^6 m. Determine how much a 50 kg person would weigh on Mars.The cube of iron and the cube of brick have the same dimensions. Each cube has sides of length l = 10 cm. What is the volume of each cube? The density of iron is ρFe= 7.87 g/cm3. Calculate the mass of the iron cube using the definition of density: ρ = m/V. Hence, mFe = 7.78+1000= 7830 gram The density of brick is ρbr= 1.92 g/cm3. Calculate the mass of the brick cube using the definition of density: ρ = m/V. Show your calculation. Hence, mFe = 1.92 X 1000 = 1920 gram The water and the oil are both in beakers which have a 3-liter capacity. Each of the major tick marks on the beaker is 1 liter, and each minor tick mark is 0.2 liters. Examine the beakers and determine the volume (in ml) of each liquid. 1 mL= 1 cm^3 = 1cc3 lt = 3x1000 mL= 1000 x 3cm^3= 3000 cc Because the thermometer has no scale, we’ll have to calibrate the thermometer. Assume the experiment occurs at a (room) temperature of 77 oF. water reaches the boiling point, T=…