An uncharged 30.0-µF capacitor is connected in series with a 25.0-? resistor, a DC battery, and an open switch. The battery has an internal resistance of 10.0 ? and the open-circuit voltage across its terminals is 50.0 V
The leads have no appreciable resistance. At time t = 0, the switch is suddenly closed.
(a) What is the maximum current through the 25.0-? resistor and when does it occur (immediately after closing the switch or after the switch has been closed for a long time)?
(b) What is the maximum charge that the capacitor receives?
(c) When the current in the circuit is 0.850 A, how much charge is on the plates of the capacitor?
(a) 1.43 A, immediately after closing the switch
(b) 1500 µC (c) 608 µC
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The acceleration of an object depends only on the net applied force
Indicate whether the statement is true or false
Matthew pulls his little sister Sarah along the horizontal ground in a wagon. He exerts a force on the wagon of 60.0 N at an angle of 37.0° above the horizontal. If he pulls her a distance of 12.0 m, how much work does Matthew do?
A) 185 J B) 433 J C) 575 J D) 720 J
Applications to Astronomy: Stars A and B are both black holes but have different masses. If the mass of star A is twice as much as the mass of star B, the average density of star A, compared to the average density of star B will be
A. the same. B. twice as much. C. half as much. D. four times as much. E. one-fourth as much.
The bottom of a flat–bottomed aluminum boat has an area of 4.0 m2, and the boat's mass is 120 kg. When set afloat in water, how far below the water surface is the boat bottom? (water density = 1.0 × 10^3 kg/m3)
a. 0.060 m c. 0.030 m b. 0.015 m d. 0.075 m