Physics
Water at room temperature flows with a constant speed of 8 m/s through a nozzle with a square cross section, as shown in the figure. Water enters the nozzle at point A and exits the nozzle at point B. The lengths of the sides of the square cross section at A and B are 64 cm an...
Physics
The atmosphere of Mars exerts a pressure of only 600 Pa on the surface and has a density of only 0.02 kg/m3. (a) What is the thickness of the Martian atmosphere, assuming the boundary between atmosphere and outer space to be the point where atmospheric pressure drops to 0.01% ...
Physics
Two balls of the same volume are released inside a tank filled with water as shown in the figure. The densities of balls A and B are 0.86 g/cm3 and 0.55 g/cm3. (The density of water is 1.00 g/cm3. Take the +y direction to be up. Indicate the direction with the sign of your ans...
Physics
Two spheres of the same diameter (in air), one of a lead alloy the other one made of steel are submerged at a depth h = 2932 m below the surface of the ocean. The ratio of the volumes of the two spheres at this depth is VSteel(h)/VLead(h) = 1.001206.Knowing the density of ocea...
Physics
A 1.8-g balloon is filled with helium gas. When a mass of 4.8 g is attached to the balloon, the combined mass hangs in static equilibrium in midair. Assuming that the balloon is spherical, what is its diameter? (The density of helium is 0.179 kg/m3, and the density of air is 1...
Physics
An airplane is moving through the air at a velocity v = 227 m/s. Streamlines just over the top of the wing are compressed to 80% of their original area, and those under the wing are not compressed at all. (a) Determine the velocity of the air just over the wing. (b) Find the d...
physics
Eris, the largest dwarf planet known in the Solar System, has a radius R = 1200 km and an acceleration due to gravity on its surface of magnitude g = 0.77 m/s2. (a) Use these numbers to calculate the escape speed from the surface of Eris. 1360 m/s correct answer. (b) If an obj...
physics
A carefully designed experiment can measure the gravitational force between masses of 9 kg. Given that the density of iron is 7860 kg/m3, what is the gravitational force between two 9.00-kg iron spheres that are touching? I can determine the correct answer if the problem had s...
physics
Newton was holding an apple of mass 120 g and thinking about the gravitational forces exerted on the apple by himself and by the Sun. Calculate the magnitude of the gravitational force acting on the apple due to Newton, the Sun, and the Earth, assuming that the distance from t...
physics
In the Earth–Moon system, there is a point where the gravitational forces balance. This point is known as the L1 point where the L stands for Lagrange, a famous French mathematician. Assume that the mass of the Moon is 1/81 that of the Earth. (a) At what point, on a line ...
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