Question 1 An undiscovered planet, many lightyears from Earth, has one moon in a

Question

Question 1

An undiscovered planet, many lightyears from Earth, has one moon in a periodic orbit. This moon takes 1710 × 103 seconds (about 2.0 × 101 days) on average to complete one nearly circular revolution around the unnamed planet. If the distance from the center of the moon to the surface of the planet is 255.0 × 106 m and the planet has a radius of 3.50 × 106 m, calculate the moon's radial acceleration.

Question,

A 25.5 kg mass is suspended by the cable assembly as shown in the figure below. The cables have no mass of their own. The cable to the left (cable 1) of the mass makes an angle, 1 = 0.00° with the horizontal, and the cable to the right (cable 2) makes an angle, 2 = 36.4°. If the mass is at rest what is the tension in each of the cables, T1 and T2? The acceleration due to gravity is g = 9.81 m/s2.

T1=

T2+

Explanation / Answer

As we know that

Centripetal acceleration is equal to a = R², or, as I prefer, a = v²/R.

a = v²/R
a = (d/T)²/R
a = (2R/T)²/R
= 4²*R/T²
= 4²*2.55*10^8/(1710*10^3)²
= 3.24*10^-3 m/s²

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