F = 2820.1 N
Explanation:
Let the (+)x-axis be up along the slope. The component of the weight of the crate along the slope is -mgsin15° (pointing down the slope). The force that keeps the crate from sliding is F. Therefore, we can write Newton's 2nd law along the x-axis as
Fnet = ma = 0 (a = 0 no sliding)
= F - mgsin15°
= 0
or
F = mgsin15°
= (120 kg)(9.8 m/s^2)sin15°
= 2820.1 N
Four electrons are placed at the corner of a square
So we will first find the electrostatic potential at the center of the square
So here it is given as

here
r = distance of corner of the square from it center



now the net potential is given as


now potential energy of alpha particle at this position

Now at the mid point of one of the side
Electrostatic potential is given as

here we know that



now potential is given as


now final potential energy is given as

Now work done in this process is given as



All you have to do is multiply that by the mass or volume.
Answer:
The charge is moving with the velocity of
.
Explanation:
Given that,
Charge 
Angle = 35°
Magnetic field strength 
Magnetic force 
We need to calculate the velocity.
The Lorentz force exerted by the magnetic field on a moving charge.
The magnetic force is defined as:


Where,
F = Magnetic force
q = charge
B = Magnetic field strength
v = velocity
Put the value into the formula




Hence, The charge is moving with the velocity of
.