A proposed space elevator would consist of a cable stretching from the earth's surface to a satellite, orbiting far in space, th

Given:
a rod with a circular cross section is experiencing uniaxial tension.
Length, L=1500 mm
radius, r = 10 mm
E=2*10^5 N/mm^2
Force, F=20 kN = 20,000 N
[note: newton (unit) in abbreviation is written in upper case, as in N ]

From the details provided, the cross-section area = π r^2 = 100 π =314 mm^2
(i) Stress,
σ
=F/A
= 20000 N / 314 mm^2
= 6366.2 N/mm^2
= 6370 N/mm^2 (to 3 significant figures)

(ii) Strain
ε
= ratio of extension / original length
= σ / E
= 6366.2 /(2*10^5)
= 0.03183 
= 0.0318 (to three significant figures)

(iii) elongation
= ε * L
= 0.03183*1500 mm
= 47.746 mm
= 47.7 mm  (to three significant figures)

The alteration in potential energy is  

In the query, it is stated that

  The intensity of the uniform electric field equals

     The distance the electron covers is  

Typically, the force exerted on this electron is expressed mathematically as

     

Where F signifies the force and  q represents the charge of the electron, which is a fixed value of

    Thus  

     

     

Generally, the work-energy theorem is mathematically framed as

         

Where W denotes the work done on the electron by the electric field and    is the change in kinetic energy

Additionally, work done on the electron can also be described as

       

Where   assuming that the electron's movement aligns with the x-axis  

        So

             

Inserting values

         

         

According to the conservation of energy

       

Where signifies the change  in  potential energy  

Thus  

       

               

Answer:

D, C, B, A

Explanation:

The derivative from a velocity-time graph provides the acceleration value.

Segment A

Segment B

Segment C

Segment D

Sorted from the lowest to the highest acceleration:

D, C, B, A

Answer:

1. The force applied by the shelf supporting the book.

Explanation:

The free body diagram for the book is represented as follows:

1 - The weight of the book acting downward

2 - The normal force exerted by the shelf upward on the book.

As the book remains stationary, these two forces balance each other, and in accordance with Newton's Third Law, the reactive force equivalent to gravity is opposite and equal to the weight of the book. This reaction force prevents the book from falling off the shelf.