Note: The diagram referred to in the question is attached here as a file.
Answer:
The magnitude of the magnetic field is
Explanation:
The magnetic field can be determined by the relationship:
...............(1)
Were I is the current flowing through the wires
The distance R from point 1 to m is calculated using the pythagora's theorem
Substituting R into equation (1)
a) The speed of the student after the jump is 1.07 m/s
b) The final speed of the laser is 10.4 m/s
Explanation:
a)
We can solve this problem by applying the law of conservation of momentum: if there are no external forces acting on the system, the total momentum of the student+Laser system must be constant. Therefore, we can write:
where
The initial momentum is zero
m = 42 kg is the mass of the Laser
v = 1.5 m/s is the final velocity of the Laser
M = 59 kg is the mass of the student
V is the final velocity of the student
Solving the equation for V, we find the velocity of the student:
So, the final speed of the student is 1.07 m/s.
b)
In this case, the laser and the student are travelling at 3.1 m/s before the student jumps off: therefore, the total momentum before the jump is not zero.
So, the equation of the conservation of momentum is
where
m = 42 kg is the mass of the Laser
M = 59 kg is the student's mass
u = 3.1 m/s is the initial velocity of the student and the Laser
V = -2.1 m/s is the velocity of the student after the jump (she jumps backward)
v is the final velocity of the Laser
And solving for v, we find
Learn more about momentum:
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