Answer:
320 N/m
Explanation:
From Hooke's law, we deduce that
F=kx where F is applied force, k is spring constant and x is extension or compression of spring
Making k the subject of formula then
Conversion
1m equals to 100cm
Xm equals 25 cm
25/100=0.25 m
Substituting 80 N for F and 0.25m for x then
Therefore, the spring constant is equal to 320 N/m
Explanation:
(a) For an isothermal process, work done is represented as follows.
W =
Putting the given values into the above formula as follows.
W =
=
=
=
= 29596.78 J
or, = 29.596 kJ (as 1 kJ = 1000 J)
Therefore, the required work is 29.596 kJ.
(b) For an adiabatic process, work done is as follows.
W =
=
=
= 49.41 kJ
Therefore, work required to produce the same compression in an adiabatic process is 49.41 kJ.
(c) We know that for an isothermal process,
or,
=
= 11 atm
Hence, the required pressure is 11 atm.
(d) For adiabatic process,
or,
=
= 28.7 atm
Therefore, required pressure is 28.7 atm.