Chapter 1 1. A body of mass 15 kg rests on a frictionless horizontal plane and is acted on by a horizontal force of 30 N.

(a) What acceleration is produced?

(b) How far will the body travel in 10 s?

(c) what will be its velocity at the end of 10 s?

2. A body of mass 10 kg is moving with a constant velocity of 5 m/s on a horizontal surface. The coefficient of sliding friction between body and surface is 0.20.

(a) What horizontal force is required to maintain the motion?

(b) If the force is removed, how soon will the body come to rest?

3. A block is pushed 2 m along a fixed horizontal surface by a horizontal force of 2 N. The opposing force of friction is 0.4 N.

(a) How much work is done by the 2 N force?

(b) What is the work of the frictional force?

(c) What is the change of kinetic energy of the block? (15 scores)

4. A block of wood having a mass of 2 kg is initially at rest on a smooth horizontal surface. A 5 g bullet having a horizontal velocity of 500 m/s strikes the block and remains embedded in it. With what final velocity do the block and bullet move after the collision?

Chapter 2

5. A wheel 1.0 m in diameter is rotating about a fixed axis with an initial angular velocity of 2 rev/s. The angular acceleration is 3rev/s2.

(a) Compute the angular velocity after 6 s.

(b) Through what angle has the wheel turned in this time interval?

(c) What is the tangential velocity of a point on the rim of the wheel at t = 6 s?

(d) What is the resultant acceleration of a point on the rim of the wheel at t = 6 s?

6. A wheel starts from rest and accelerates with constant angular acceleration to an angular velocity of 900 rev/min in 20 s. At the end of 1 s,

(a) find the angle through which the wheel has rotated; and

(b) compute and show in diagram the magnitude and direction of the tangential and centripetal components of acceleration of a point 0.2 m from the axis.

7. A body of mass 100g moves with simple harmonic motion of amplitude 24 cm and period 4 s. The coordinate is +24 cm when t = 0. Compute

(a) the position of the body when t = 0.5 s.

(b) the magnitude and direction of the force acting on the body when t = 0.5 s.

8. A 0.10 kg block slides back and forth along a straight line on a smooth horizontal surface. Its displacement from the origin is given by

(a) What is the oscillation frequency?

(b) What is the maximum speed acquired by the block? At what value of x does this occur?

(c) What is the maximum acceleration of the block? At what value of x does this occur?

Chapter 5

9. A charge +q is at the origin. A charge -2q is at x = 2.0 m on the x axis.

(a) For what finite values(s) of x is E = 0?

(b) For what finite values(s) of x is V = 0?

10. The electric potential at a certain distance from a point charge is 100 V, and the electric field is 200 N/C.

(a) What is the distance to the point charge?

(b) What is the magnitude of the charge?

11. A 1μF capacitor and 2μF capacitor are connected is series across a 1200 V supply line.

(a) Find the charge on each capacitor and voltage across each.

(b) The charged capacitors are disconnected from the line and from each other, and reconnected with terminals of like sign together. Find the final charge on each and the voltage across each.

12. An air capacitor consisting of two closely spaced parallel plates has a capacitance of 1000pF(1.0×10-9F). The charge on each plate is 1.0×10-6C .

(a) What is the potential difference between the plates?

(b) If the charge keeps a constant, what will be the potential difference between the plates if the separation is doubled?

(c) How much work is required to double the separation?

Chapter 6

13. A circuit containing five resistors connected to a 12V battery is shown in Fig.1. Neglect the internal resistance of the battery.

(a) What is the equivalent resistance of the circuit?

(b) What is the voltage across the 5.0 Ω resistor?

14. A 60 Ω resistor and a 90 Ω resistor are connected in parallel and combination is connected across a 120 V line.

(a) What is the resistance of the parallel combination?

(b) What is the total current through the parallel combination?

(c) What is the current through each resistor?

15. Points a and b are connected by the system of resistors shown in Fig. 2. A battery of 25 V and negligible internal resistance is connected across points a and b. What

(a) the equivalent resistance between point a and b?

(b) the potential difference across the 1.8 Ω resistor?

(c) the current flowing through the 5.1 Ω resistor?

16. Find the current that passes through the 4 Ω resistor in the circuit shown in Fig. 3.