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A simple circuit is constructed in which a 1 Ω resistor is connected across a 1 V battery and so draws a 1 A current. What is the current drawn from the battery if:
(a) an extra 1 Ω resistor is connected in series with the existing one?
(b) four extra 1 Ω resistors are connected in series with the existing one?
Five resistors are connected to a 24 V resistor as shown.
(a) What is the total resistance of the circuit?
(b) How much current flows from the battery?
(c) How much power is supplied by the battery?
(d) What is the potential difference across each resistor?
(e) What is the current through each resistor?
(f) What is the power dissipated in each resistor?
A long spring with a spring constant of 22 N/m is compressed 94 centimetres. a. What is the magnitude of the force exerted on this spring to compress it?
b. The force exerted to compress the spring was actually due to the weight of a block attached to the end of the spring. What is the block’s mass?
Three women go camping together and are setting up camp. First, they decide to set up a large tarp and they open it up. One woman grabs the Northeast corner and pulls with a force of 18 N 60° North of East. Another woman grabs the Southeast corner and pulls it back at an angle of 40° South of East. The third woman grabs in the middle of the West side of the tarp and pulls straight back in the West direction. What are the magnitudes of the pulling forces that the last two women mentioned apply to the tarp, if it unfolds nicely but the centre but remains stationary?
A balloon that has a static charge on its surface hangs on a string. A positively charged rod is brought near to the balloon and it feels an attractive pulling force of 13 N in the positive xdirection. A slight breeze pushes the balloon with a force of 21 N at 125° in standard position. Assuming the mass of the string and balloon are negligible, what is the net force on the balloon?
A very heavy box needs to be pushed into the corner of a room. Two friends work together and each push an adjacent sides of the box to move it diagonally (see image below). If the one friend pushes with a force of 550 N and the other friend pushes with a force of 520 N, what is the net force on the box, if the force of friction is 745 N in the opposing direction of the net force?
A girl at summer camp is rowing her one-person canoe across a river at a 45° angle to the bank upstream with a force of 4540N. (See diagram.) If the current is pushing her boat downstream at 6079 N, what is the net force on the boat?
Let |u1i> and |u2i> be two linearly independent vectors in a vector space over C. Find the value of the complex scalar z that minimizes ||u1> and |U2>
Explain how car brakes work to stop a car.
In a tug-of-war contest, Team A has 7 players, with an average mass of 65.1 kg and Team B has 8 players with an average mass of 58.9 kg. Team A pulls with a force of 4.1 kN to dislodge Team B, and can then pull them at a constant velocity using 3.6 kN. Determine the static and kinetic coefficients of friction for Team B.
