B compressed 2.17 cm from equilibrium. Answer in units of j
Answer:
The magnitude of the magnetic field vector is 1.91T and is directed towards the east.
The steps to the solution can be found in the attachment below.
Explanation:
For the charge to remain in the the earth' gravitational field the magnetic force on the charge must be equal to the earth's gravitational force on the charge and must act opposite the direction of the earth's gravitational force.
Fm = Fg
qvBSin(theta) = mg
Where q = magnitude of charge
v = magnitude of the velocity vector = 4 x10^4 m/s
B = magnitude of the magnetic field vector
theta = the angle between the magnetic field and velocity vectors = 90°
m = mass of the charge = 0.195g
g = acceleration due to gravity =9.8m/s²
On substituting the respective values of all variables in the equation (1) above
B = 1.91T
The direction of the magnetic field vector was found by the application of the right hand rule: if the thumb is pointed in the direction of the magnetic force and the index finger is pointed in the direction of the velocity vector, the middle finger points in the direction of the magnetic field.
Below is the step by step procedure to the solution.
The sun. lol. It is closer to Earth, therefore bigger to us, and not just a small point of light.
Answer:
25.2 m
Explanation:
The horizontal distance traveled s = v × t×cosθ and t = s / (v×cos θ)
The vertical distance traveled h = v × t ×sin θ - 1/2 × g × t^2
Substituting for t, h = s×tan θ- 1/2 × g × s^2 / (v cos θ)^2
Now, Solve for v^2 and get v^2 = g × s^2 ÷ [2 ×cos^2θ × (s×tan θ - h)]
And v^2 = 9.8×3600 / [2×0.535×(60×0.933 - 25] =1065 and v = 32.6 m/s
As a check from the first equation t = 60 / (32.6×0.731) = 2.52 sec
Horizontal distance traveled s = 32.6×cos 43°×2.52 =60 m
Height reached 2×g×h = (v×sin43°)^2
⇒and h = 25.2 m (using 2×g×h =v×y ^2)
Since maximum height is reached at the edge of the cliff the projectile
will not travel beyond the cliff