Hey guys! I was doing a past paper today and I just couldn't wrap my head around these 3 questions. Loving this thread and thanks for the help guys!
Correct answers are:
8 - B
9 - D
19 - A
Hey!
8- The force on a charged particle in a magnetic field is given by F=qvBsintheta, where theta is the angle between the direction of the field and the particle's motion. Looking at B, the particle's motion is parallel to the magnetic field, hence theta=0 and F=0. Therefore this should be the one which exerts the least force because there is none! As a note, the force on a charged particle due to an electric field is given by F=qE, so the velocity of the particle will not affect the force of the electric field exerts on it.
9- First we need to find the force that P and Q exert on R. P and R are parallel, meaning that P will exert an attractive force on R towards the left
However, Q and R are anti-parallel, meaning that Q will exert a repulsive force on R towards the right
To find the net force, we need to add these forces together, keeping in mind that one of the forces must be negative as they are in opposite directions. Letting right be the positive direction.
19- B is a fact, but it doesn't explain why the astronaut stays in orbit. C is incorrect as the force due to gravity takes the astronaut's mass into account, which is clearly different to the spacecraft's. D is also incorrect as \(a=\frac{GM}{r^2}\), meaning that their accelerations are independent of their individual masses. Their acceleration is only dependent on the mass of the central body and the distance they are from its centre of mass, which are both the same, so A is correct.
Hope this helps!