You've listed a lot of data here, in both metric and customary units,
and I'm not even sure it's all needed. Let me try and boil it down:
Pressure on a surface =
(total force on a surface) divided by (area of the surface).
The answer to the question is the pressure expressed in pascals.
There's actually enough information here to answer the question
in 2 different ways. We could ...
-- simply convert (0.03 pound per inch²) to pascals, or
-- go through the whole calculation of force, area, and then their quotient.
To me, converting 0.03 psi to Pa looks easier.
-- 1 pascal = 1 newton / 1 meter²
-- On Earth, 1 kilogram of mass weighs 9.8 Newtons and 2.2 pounds.
From this, we can calculate that
2.2 pounds of force = 9.8 newtons of force.
1 pound = 4.45 newtons
(0.03 pound/inch²) x (4.45 newton/pound) x (1inch/2.54cm)² x (100cm/1m)² =
(0.03 x 4.45 x 1² x 100²) / (2.54² x 1²) newton/meter² = 206.9 Pa .
If you know the real modulus of the cable (Y), the length, and the area (based on the radius), you can compute the spring constant, k = AE/L. Then, if you know the force used, you can compute the displacement, using F = kd, or d = F / k = FL/(AE). Our answer should work out to units of length. So,
d = 803 N * 9.06 m / [pi*(0.574 cm)^2 * 2.0 x 10^11 N/m^2]
d = 3.5 x 10^-8 Nm^3 / (cm^2 * N)
d = 3.5 x 10^-8 m^3 / cm^2 * (100 cm / 1 m)^2
d = 3.5 x 10^-4 m
Answer:
Part a)
Part b)
Explanation:
Part a)
As we know that the period of revolution of the planet is given by
now we know that
T = 6.3 days
now we have
Part b)
As we know that mass of sun is given as
now we have
