60 ° is the angle between W- direction and the run direction.
You need the angle betwee S-direction and the run direction. This is 90° - 60° = 30 °.
By geometry you can trace a right triangle, where the S-component is the adyacent side and the run is the hypotenuse.
Then cos 30° = adyacent side / hypotenuse = S-component / run
Then S-component = run * cos 30° = 5.0 km * 0.866 = 4.3 km
Answer: 4.3 km
The chain rule is a formula for computing the derivative of the composition of two or more functions.
<span> (f o g(x)<span>)1</span>=<span>g′</span>(x)<span>f′</span>(g(x))</span>
or
<span> dy/dx=dy/du du/d<span>x</span></span>
Answer:
B
Explanation:
momentum = mass * velocity
velocity = initial speed + acceleration * time where initial speed =0, acceleration = 9.81, time = 4
<span>In this case we are given a force of 29,000 N. We know
that the equation we can use is:</span>
Force = mass * acceleration
However this is not just any type of force, because this
is the weight of the elevator. So when the force is equal to weight, the
acceleration acting is simply gravity. Therefore:
weight = mass * gravity
Calculating for mass:
mass = 29,000 N / (9.8 m/s^2)
<span>mass = 2,959.18 kg</span>
Answer:
into the page
Explanation:
Since the uniform electric field is in the negative y direction so its is -E and the electron is travelling in the positive x direction, it experiences an electric force F = -e × -E = + eE, so the electric force is in the positive y direction. Now since the net force on the electron is zero in the region of the magnetic field, it follows that the direction of the magnetic force is opposite to that of the electric force. Since the electric force is in the positive y direction, the magnetic force is in the negative y direction.
By the right hand rule, since the magnetic force is in the negative y direction and the electron moves in the positive x direction, it follows that the magnetic field is in the positive z direction, into the page.
