A uniform thin rod of mass M = 3.27 kg pivots about an axis through its center and perpendicular to its length. Two small bodies, each of mass m = 0.239 kg, are attached to the ends of the rod. What must the length L of the rod be so that the moment of inertia of the three-body system with respect to the described axis is I = 0.905 kg⋅m2? L =
A worker pushed a 22.0 kg block 11.0 m along a level floor at constant speed with a force directed 23.0∘ below the horizontal. If the coefficient of kinetic friction between block and floor was 0.500, what were (a) the work done by the worker's force and (b) the increase in thermal energy of the block-floor system? (a) Number Units (b) Number Units
In the figure, a uniform electric field E→ collapses. The vertical axis scale is set by ES = 1.5×105 N/C, and the horizontal axis scale is set by tS = 24.0 μs. Calculate the magnitude of the displacement current through a 3.0 m2 area perpendicular to the field during each of the time intervals a, b, and c shown on the graph. (Ignore the behavior at the ends of the intervals.)
A string has a linear density of 8.2×10-3 kg/m and is under a tension of 340 N. The string is 1.9 m long, is fixed at both ends, and is vibrating in the standing wave pattern shown in the drawing. Determine the (a) speed, (b) wavelength, and (c) frequency of the traveling waves that make up the standing wave. (a) Number Units (b) Number Units (c) Number Units
The circuit in the figure below contains two resistors, R1 = 1.90 kΩ and R2 = 3.50 kΩ, and two capacitors, C1 = 1.90 μF and C2 = 2.80 μF, connected to a battery with emf e = 115 V. There are no charges on the capacitors before switch S is closed. (a) Determine the charge on capacitor C1 as a function of time (in ms), after the switch is closed. (Use the following as necessary: t.) q1 = μC (b) Determine the charge on capacitor C2 as a function of time (in ms), after the switch is closed. (Use the following as necessary: t.) q2 = μC
Spherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is ps = +22 cm, the type of mirror is concave, and then the distance between the focal point and the mirror is 14 cm (without proper sign). Find (a) the radius of curvature r (including sign), (b) the image distance i, and (c) the lateral magnification m. Also, determine whether the image is (d) real or virtual, (e) inverted from object O or noninverted, and (f) on the same side of the mirror as O or on the opposite side. (a) Number (b) Number (c) Number (d) (e) (f)