In the figure, a constant horizontal force F→app of magnitude 9.3 N is applied to a wheel of mass 10 kg and radius 0.41 m. The wheel rolls smoothly on the horizontal surface, and the acceleration of its center of mass has magnitude 0.37 m/s2. (a) What is the magnitude of the frictional force on the wheel? (b) What is the rotational inertia of the wheel about the rotation axis through its center of mass? (a) Number Units (b) Number Units
In the figure, the fresh water behind a reservoir dam has depth D = 18.3 m. A horizontal pipe 4.09 cm in diameter passes through the dam at depth d = 6.37 m. A plug secures the pipe opening. (a) Find the magnitude of the frictional force between plug and pipe wall. (b) The plug is removed. What water volume exits the pipe in 2.03 h? (a) Number Units (b) Number Units
In the figure, a small 0.250 kg block slides down a frictionless surface through height h = 0.660 m and then sticks to a uniform vertical rod of mass M = 0.500 kg and length d = 1.67 m. The rod pivots about point O through angle θ before momentarily stopping. Find θ. Number Units
In the figure, a cube of edge length L = 0.569 m and mass 861 kg is suspended by a rope in an open tank of liquid of density 1.05E+3 kg/m3. Find (a) the magnitude of the total downward force on the top of the cube from the liquid and the atmosphere, assuming atmospheric pressure is 1.00 atm, (b) the magnitude of the total upward force on the bottom of the cube, and (c) the tension in the rope. (d) Calculate the magnitude of the buoyant force on the cube using Archimede's principle. (a) Number Units (b) Number Units (c) Number Units (d) Number Units
The three spheres shown below, with masses mA = 75 g, mB = 20 g, and mC = 40 g, have their centers on a common line, with L = 12 cm and d = 4.0 cm. You move sphere B along the line until its center-to-center separation from C is d = 4.0 cm. (a) How much work is done on sphere B by you? J (b) How much work is done by the net gravitational force on B due to spheres A and C? J
A 2.9-kg block is hanging stationary from the end of a vertical spring that is attached to the ceiling. The elastic potential energy of the spring/mass system is 1.0 J. What is the elastic potential energy of the system when the 2.9-kg block is replaced by a 5.2-kg block? Number Units
A coil with 160 turns, a radius of 5.0 cm, and a resistance of 12 Ω surrounds a solenoid with 270 turns/cm and a radius of 4.7 cm; see the figure. The current in the solenoid changes at a constant rate from 0 to 2.0 A in 0.11 s. (Figure 1) Figure 1 of 1 Part A Calculate the magnitude and direction of the induced current in the 160-turn coil. Express your answer using two significant figures. Submit Request Answer Part B The current flows from left to right through the resistor. The current flows from right to left through the resistor. Submit Request Answer