29.

Therefore, the net gravitational force

on the rocket from the earth and the moon is 4.48 N.

30.

a)

= m

Therefore, the meteor is above the earth’s surface.

b)

Therefore, the 30kg meteor will

experience a force of 216 N at the same altitude as the 12kg meteor.

31.

a)

Therefore, the radius of the circular

orbit is m.

b)

Therefore, the speed of the satellite

is 6996 m/s.

c)

Therefore, the period of the orbit is s which is approximately 2 hours.

32.

N

Therefore, the bathroom scale will give a reading of 450N.

33.

a)

Therefore, the net force on charge 1 is 1.91 N N 45o E

b)

Therefore, the total electric field acting on charge 1 is 1.91 N/C N 45o

E

34.

a)

The sphere is at rest so it has a net force of 0.

Therefore, the tension in the thread

is 1.92N.

b)

The charge on 2 is. The charge is positive on 2 because

it attracts 1, which holds a negative charge.

35.

a)

Therefore, the acceleration of the

electron between the plates is .

b)

Therefore, the horizontal distance

travelled by the electron when it hits the plate is 9.6 cm.

c)

m/s

Therefore, the velocity of the

electron as it strikes the plate is m/s.

36.

a)

Therefore,

the total electric potential energy is -405 J.

b)

Therefore, the total electric

potential at point Z is

37.

Therefore, the minimum distance

between the two pucks is 24.3m.

38.

a)

The sphere has a positive charge

because the electric force must act upward in order to cancel out the force of

gravity which acts downwards. For the electric force to be directed up on the

sphere, it must be attracted to the top negative plate which means that the

sphere must be positive.

b)

Therefore, the magnitude of the charge

on the sphere is.

c)

Therefore, the sphere has a deficit of

three electrons.

39.

a)

south

Therefore, the initial magnetic force was

.

b)

Therefore, the electron will

experience uniform circular motion in a circle with a radius of 1.42 mm.

40.

a)

down (right hand rule used

to find direction)

Therefore, the magnetic force on the

wire is 11.2 N down

b)

i. If the wire is rotated slightly in

the horizontal plane, the angle between the current and magnetic force will not

be 90° anymore which will cause the magnetic force to decrease.

ii. If the current is doubled, the

force will be doubled because the magnetic force is directly proportional to

the current.

iii. If the magnetic field is reversed

the magnetic force will also be reversed. The magnetic force will point upward

instead of down.

41.

a)

The particle accelerator uses powerful

electromagnets to curve the path of the particles into a circle. Oppositely

charged accelerating cavities speed up the particles. The powerful magnets are

positioned in a circular pattern with the accelerating cavities between them.

In order to counteract the increased radius of curvature when accelerating

particles increase in velocity, the strength of the magnetic field is increased

to cause a greater magnetic force. Energy is continuously added into the charged

particle as it continues to move around the circuit. As the speed of the

charged particles increases, the charges in the cavities are switched more

quickly.

b)

If the magnetic field was too weak,

the particles would eventually collide with the walls of the drift tubes or

accelerator. This is because the radius of the curvature increases as the

particles accelerate.

c)

Electric fields must be continuously

increased as the particle picks up speed so the particle can gain more energy

and travel faster. The strength of the magnetic field is increased to cause a

greater magnetic force in order to counteract the increased radius of curvature

caused by the accelerating particles.