Answer:
d=13.81 mm
Explanation:
Given that
P = 15 KN ,L = 50 m
E= 200 GPa
ΔL = 25 mm
σ = 150 MPa
Lets take d=Diameter
There are we have two criteria to find out the diameter of the wire
Case I :
According to Stress ,σ = 150 MPa
P = σ A


By putting the values

d= 11.28 mm
Case II:
According to elongation ,ΔL = 25 mm




d=13.81 mm
Therefore the answer will be 13.81 mm .Because it satisfy both the conditions.
Answer:
29274.93096 m/s




Explanation:
= Distance at perihelion = 
= Distance at aphelion = 
= Velocity at perihelion = 
= Velocity at aphelion
m = Mass of the Earth = 5.98 × 10²⁴ kg
M = Mass of Sun = 
Here, the angular momentum is conserved

Earth's orbital speed at aphelion is 29274.93096 m/s
Kinetic energy is given by

Kinetic energy at perihelion is 
Potential energy is given by

Potential energy at perihelion is 

Kinetic energy at aphelion is 
Potential energy is given by

Potential energy at aphelion is 
-- 30N
-- the sum of all the forces