The mass of a hydrogen molecule is 3.32 × 10-27 kg. If 1023 hydrogen molecules strike per second, a fixed wall of area 2 cm² at an angle of 45° to the normal and rebound elastically with a speed of 103³ m/s, then the pressure on the wall is nearly (a) 2.35 × 104 N/m² (c) 4.70 × 10² N/m² (b) 2.35 × 10³ N/m² (d) 2.35 x 10² N/m²
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- The drawing shows a hydsraulic chamber with a spring (string constant = 1250N/m) attached to the input piston and an object of 38 kg (resting on the output plunger). The piston and plunger are at the same height each having a negligible mass. By how much is the spring compressed from its unstrined position?A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open to the air at the top. Friction is absent. The spring constant of the spring is 330O N/m. The piston has a negligible mass and a radius of 0.034 m. (a) When the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? (b) How much work does the atmospheric pressure do in compressing the spring? H So e (a) Number i Units (b) Number i Units > >In a period of 1.1 s, 5.0 x 1023 nitrogen molecules strike a wall of area 9.0 cm?. If the molecules move at 310 m/s and strike the wall head on in a perfectly elastic collision, find the pressure exerted on the wall. (The mass of one N, molecule is 4.68 x 10 26 kg.) Pa
- A snorkeler takes a deep breath at the surface, filling his lungs wit 4.0 L of air. He then descends to a depth of 5.0 m, where the pressure is 0.50 atm higher than at the surface. At this depth, what is the volume of air in the snorkeler's lungs? [Bacteria have a density that is about the same as water. Their average velocity is 10^-3 m/s. A bacterium with a radius of 1 um should have a diffusion coefficient of about 2.2x10^-13 m^2/s. (a) Find the random-walk step size (b) How long does it take for an average walk to reach 1 mm in seconds and days? Note that we are considering the diffusion away from the starting point and are calculating the distance through three dimensions. Show your workIn a period of 0.9 s, 5.0 1023 nitrogen molecules strike a wall of area 7.8 cm2. If the molecules move at 330 m/s and strike the wall head on in a perfectly elastic collision, find the pressure exerted on the wall. (The mass of one N2 molecule is 4.68 10-26 kg.)
- Find the center of mass of a laminate bounded by y=−x,y=x,y=2 with variable density modeled by \rho (x,y)=y+5. Question 3 Answer a. (0,2619) b. (35,94) c. (−23,116) d. None of the above e. (0,1) f. (0,32)In a period of 0.9 s, 5.0 1023 nitrogen molecules strike a wall of area 7.6 cm2. If the molecules move at 320 m/s and strike the wall head on in a perfectly elastic collision, find the pressure exerted on the wall. (The mass of one N2 molecule is 4.68 10-26 kg.)A uniform disk of mass 10.0 kg and radius of 0.248 m spins at 302 rev/min on a low-friction axle. It must be brought to a stop in 1.00 min by a brake pad that makes contact with the disk at an average distance of 0.218 m from the axis. The coefficient of friction between the pad and the disk is 0.499. A piston in a cylinder of diameter 5.00 cm presses the brake pad against the disk. Find the pressure required for the brake fluid in the cylinder. Pa Need Help? Read It
- In the middle of a horizontally positioned closed tube is a h = 20cm long column of Hg. Each side of the tube entraps a l = 0.5 m column of air. The atmospheric pressure is H = 100 KPA. When the tube is held vertically the column of Hg slides down with d = 10cm. By how much the column of Hg slide down from the middle of the tube if one end of the horizontally positioned tube is open.A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open to the air at the top. Friction is absent. The spring constant of the spring is 3600 N/m. The piston has a negligible mass and a radius of 0.010 m. (a) When the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? (b) How much work does the atmospheric pressure do in compressing the spring? * I know that a is = 0.0088422743 m but b is NOT 8.950712099 J (wrong) please show work of how to work part b.500 J of work are done to compress the gas while, in the same process, 1800 J of heat energy are transferred from the gas to the environment. Afterward, what is the rms speed of the molecules? Express your answer with the appropriate units.