Question 1

Determine the energy required to accelerate an electron from (a) 0.500c to 0.900c and (b) 0.900c to 0.990c

Lera25 [3.4K]

Answer:

0.582 MeV

2.45 MeV

Explanation:

$E_r=0.511\ MeV$ =Electron rest energy

(a) 0.500c to 0.900c

$W=\left(\frac{1}{\sqrt{1-\frac{v_f^2}{c^2}}}-\frac{1}{\sqrt{1-\frac{v_i^2}{c^2}}}\right)E_r\\\Rightarrow W=\left(\frac{1}{\sqrt{1-0.9^2}}-\frac{1}{\sqrt{1-0.5^2}}\right)0.511\\\Rightarrow W=0.582\ MeV$

Energy required is 0.582 MeV

(b) 0.900c to 0.990c

$W=\left(\frac{1}{\sqrt{1-\frac{v_f^2}{c^2}}}-\frac{1}{\sqrt{1-\frac{v_i^2}{c^2}}}\right)E_r\\\Rightarrow W=\left(\frac{1}{\sqrt{1-0.99^2}}-\frac{1}{\sqrt{1-0.9^2}}\right)0.511\\\Rightarrow W=2.45\ MeV$

Energy required is 2.45 MeV

6 0

3 years ago

Suppose a 60-kg boy and a 41-kg girl use a massless rope in a tug-of-war on an icy, resistance-free surface. If the acceleration

Digiron [165]

Answer:

Approximately $2.05\; {\rm m\cdot s^{-2}}$ .

Explanation:

The net force on the girl would be:

$\begin{aligned}m(\text{girl}) \, a(\text{girl}) &= 41\; {\rm kg} \times 3.0\; {\rm m\cdot s^{-2}} \\ &= 123.0\; {\rm N} \end{aligned}$ .

Under the assumptions, the net force on this girl would be equal to the tension force in the rope. All other forces on the girl would be balanced.

In other words, the tension force that the rope exerted on the girl would be $123.0\; {\rm N}$ . The girl would exert a reaction force on the rope at the same magnitude ( $123.0\; {\rm N}\!$ ) in the opposite direction. This force would translate to a $123.0\; {\rm N}\!\!$ force on the boy towards the girl.

Under similar assumptions, the net force on the boy would also be $123.0\; {\rm N}$ . Since the mass of the boy is $m(\text{boy}) = 60\; {\rm kg}$ , the acceleration of the boy would be:

$\begin{aligned}a(\text{boy}) &= \frac{(\text{net force})}{m(\text{boy})} \\ &= \frac{123.0\; {\rm N}}{60\; {\rm kg}} \\ &= 2.05\; {\rm m\cdot s^{-2}}\end{aligned}$ .

3 0

2 years ago

How can two objects with different masses be in balanced equilibrium on a beam with a pivot at the beam center of mass

Elena L [17]

Answer is given below

Explanation:

Since the two objects have different masses, their weight varies. For balance, they must be unequal from the center
The lower weight should be placed at a greater distance from the center on one side, and a shorter distance from the center point on the other side, compared to the heavier weight.
The sum of the moments of the energies must be zero.

3 0

4 years ago

Which of these would best define sound intensity? A) how fast the wave is traveling B) the frequency of the sound wave the power

faust18 [17]

Which of these would best define sound intensity?

A) how fast the wave is travelling

<u>B) the frequency of the sound wave the power of the sound wave per unit area the mass of the wave divided by its volume</u>

5 0

3 years ago

Read 2 more answers

What is the primary purpose of an astronomical telescope?

Fofino [41]