A hiker walks from
1 answer:
(a) The distance travelled by the hiker is 7.16 km
(b) If the hiker desires to return to his starting point, he should move at 201.71° with respect to east.
Form a right angled triangle with the distance between initial and final points as hypotenuse. The adjacent side will be the total distance travelled on x-direction and the opposite side will be the total distance travelled in y-direction.
Adjacent side = -
= 3.05 - ( - 3.6 )
Adjacent side = 6.65 km
Opposite side = -
= 5.9 - 3.25
Opposite side = 2.65 km
According to Pythagoras theorem,
=
+
=
+
Hypotenuse = √ ( 7.02 + 44.22 )
Hypotenuse = 7.16 km
sin θ = Opposite side / Hypotenuse
sin θ = 2.65 / 7.16
θ = ( 0.37 )
θ = 21.71°
This is the angle in which the hiker travelled from initial to final direction. The angle in which the hiker should travel to return to initial point with respect to east is
θ = 21.71° + 180°
θ = 201.71°
Therefore,
(a) The distance travelled by the hiker is 7.16 km
(b) If the hiker desires to return to his starting point, he should move at 201.71° with respect to east.
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Answer:
The magnitude of the magnetic field is .
Explanation:
Given that,
Charge,
Speed of the charged particle,
The angle between the velocity of the charge and the field is 56°.
The magnitude of force,
We need to find the magnitude of the magnetic field. When a charged particle moves in the magnetic field, the magnetic force is experienced by it. The force is given by :
B is the magnetic field.
So, the magnitude of the magnetic field is . Hence, this is the required solution.