<span>The election has energy of 3000 eV entering the magnetic field. </span>

converting to J, energy = qeV =1.6E-19*3000 where q=1.6E-19

<span>Kinetic energy = 1/2mv^2 with m is mass of electron</span>

1/2mv^2 = qeV

<span>v = sqrt[1.6E-19*3000*2/9.1E-31] = 3.25E6</span>

<span>Magnetic force = eVB where B is magnetic field strength</span>

<span>Force = ma where a=radial acceleration=v^2/r </span>

evB = mv^2/r

B = 2*3000/0.26/3.25E6 = 7.1E-3T = 71Gauss

**Upward force provided by the branch is 260 N**

<u>**Explanation:**</u>

**Given -**

**Mass of Gibbon, m = 9.3 kg**

**Length of the branch, r = 0.6 m**

**Speed of the movement, v = 3.3 m/s**

**Upward force, T = ?**

The tension force in the rod must be greater than the weight at the bottom of the swing in order to provide an upward centripetal acceleration.

Therefore,

**F net = T - mg**

**F net = ma = mv²/r**

Thus,

**T = mv²/r + mg**

T = m ( v²/r + g)

T = 9.3 [ ( 3.3)² / 0.6 + 9.8]

T = 259.9 N ≈ 260 N

**Therefore, upward force provided by the branch is 260 N**

**Answer:**

F = force

f = friction

u = coefficient of friction

R = normal reaction force

a = Acceleration

m = mass of block

g = gravity

f = uR

F = Ma

Say the block is moving to the right.

The 146N force thus acts to the right, and the friction force to the left, since it resists movement.

The 146N force acts to the right, but the horizontal component of it is 146 cos 50 = 93.84: So this is the force to the right.

Since F = uR and we're trying to find u, we need both F and R. R is easy to get since it is just m x g. This is in fact already given as the weight 350N. So R = 350.

The block is moving at a constant speed, so the force to the right must = the force to the left.

F = ma, so 93.84 - f = (350/g) x 0

This means f must be 93.84 also.

so we have f = uR,

93.84 = u x 350

so u = 0.268 or

0.27 to 2dp.

Hope you understand this.

**Explanation:**

**Answer:**

Both the technician are correct.

**Explanation:**

The cause of slow cracking and excessive current draw in the engine can be caused because of mechanical fault as well as defect in the starter motor or binding in it. Some more reasons can be defective battery, faulty electrical connections, a charging system problem or starter rundown when parked.

So, both the technician are correct here.