HSC Physics Electricity and Magnetism

In the Electricity and Magnetism section of the HSC Physics Formuae Sheet the equations involving an angle 𝜽 do not all have the angle measured in the same way. A tutorial set of substitution questions is given below.

1. A charge of +2.0 μC has a velocity of 3.0×10⁷ ms^-1 to the right of the page. The particle is in a uniform magnetic field of 1.0 mT acting out of the page. Determine the magnetic force acting on the charge.
2. A coil of area 10 cm² has its plane at an angle of 30° to a uniform magnetic field of 100 mT. What is the magnetic flux through the coil?
3. A coil of cross sectional area 30 mm² containing 100 turns carries a current of 20 mA. The axis of the coil makes an angle of 20° with a uniform magnetic field of 2.0x10^-2 T. Determine the size of the torque acting on the current.
4. A straight wire of length 52 cm carries a current of 300 μA in a uniform magnetic field of 350 mT. If the wire makes an angle of 123° with the magnetic field lines, find the size of the magnetic force acting on the current.
5. The Earth's magnetic field vector at Sydney is 57 μT N12°36'E at 64°19' below the horizontal. At a certain instant an electron is moving in this magnetic field towards the east at a speed of 3.0x10⁷ ms^-1. Determine (a) the magnitude of the magnetic force acting on the electron at this instant (b) the direction of the magnetic force acting at this instant, and (c) the period of the motion of the electron in the uniform magnetic field.

IB Physics Static and Kinetic Friction

A tutorial sheet on static and kinetic friction problems from subtopic 2.2 forces is given below

1. A 3.0 kg block is at rest at rest on each of two rough inclined planes. One incline makes an angle of 37° with the horizontal, the other 53°. On which block is a greater force of static friction acting?
2. A block of mass 2.0 kg is on a rough horizontal table. The coefficient of static friction between the block and the table is 0.4. A horizontal force of 5.0 N to the right is applied to the block. What is the force of static friction between the block and the table?
3. A block of wood of mass 4.0 kg has a brick of mass 2.0 kg sitting on it. The block rests on a smooth horizontal surface and the block and brick are initially at rest. A constant horizontal force of 12.0 N is applied to the block. What are the speeds of the block and the brick after 12.0 s? Assume that the brick stays on the block and that the coefficients of static friction and kinetic friction between the surfaces are 0.2 and 0.1 respectively.

IB Physics Equations of Motion

Below is a tutorial sheet of harder problems on subtopic 2.1

1. A ball falls from rest near the surface of the Earth. The ball falls 1.0 m in the last second of its fall. From what vertical height was the ball released? Neglect air resistance.
2. A stone is released from rest at a height of 200.0 m above the surface of the Earth. At the same instant a ball is projected vertically upwards from the ground from directly below the stone. If they meet after 4.0 s at what speed was the ball projected? Neglect air resistance.
3. A ball is projected vertically upwards from the surface of the Earth. The ball is above a height of 125.0 m for a total time of 3.0 s. At what speed was the ball projected? Neglect air resistance.
4. A car of length L moves at a constant velocity u to the east. A truck of length T moves at a constant velocity v to the east. What is the time taken by the car to overtake the truck?
5. A car of length L moves with a constant acceleration a to the east. A truck of length T moves at a constant velocity v to the east. When the velocity of the car is u it starts to overtake the truck. What is the time taken to overtake the truck?
6. A particle moves with a constant acceleration a. If its maximum speed is v what is the least time to travel a distance d if it starts from rest?
7. A particle is initially at rest. Its acceleration increases uniformly from zero to a in a time interval t. What is the distance travelled in this time interval? [at²/6]