A spacecraft is launched from Earth toward the moon.
2 answers:
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Answer:
a) 1.68 N b) 0 c) 14.5º
Explanation:
a)
- The force on a charge moving in a magnetic field, is a vector perpendicular to the plane defined by the velocity of the charge and the magnetic field.
- The magnitude of the force F is given by the following expression:
- where q= magnitude of the charge of the particle, v=velocity of the particle, B= magnitude of the magnetic field, and θ= angle between v and B.
- Replacing by the known values in (1) we have:
- The maximum possible value of F happens when sin θ =1
- This means that v and B are perpendicular each other (in the same plane)
- So, Fmax = 1.68 N
b)
- If the maximum possible value of F happens when sin θ = 1, the minimum possible is when sin θ = 0.
- In this case, when v and B are parallel each other, the force is just 0.
c)
- If the force is 0.25 of the maximum possible, (which is when sin θ =1), this means that sin θ = 0.25, as it can be seen below:
- The angle between the velocity v and the magnetic field B is 14.5º.