Answer:
4.3 * 10^28 kg
Explanation:
Given:
Period, T = 84s
Radius of satellite orbit, r = 8*10^6
Using the relation :
M = 4π²r³ / GT²
Where G = Gravitational constant, 6.67 * 10^-11
M = 4*π^2*(8*10^6)^3 / 6.67 * 10^-11 * 84^2
M = (20218.191872 * 10^18) / 47063.52 * 10^-11
M = 0.4295937 * 10^18 - (-11)
M = 0.4295937 * 10^29
M = 4.295937 * 10^28 kg
M = 4.3 * 10^28 kg
Mass of planet Nutron = 4.3 * 10^28 kg
The tension in the string holding the tassel and the vertical will the tension in the string
<h3>What is the tension in the string holding the tassel. ?</h3>
Generally, the equation for Tension is mathematically given as

Therefore

T = 0.1953 N
b).
Where


a = 1.13 m/s^2
In conclusion
T* sinФ = ma
2msinФ = ma
2sinФ = a


Ф = 34.4 °
In conclusion, The tension in the string holding the tassel and the vertical will the tension in the string
T = 0.1953 N
Ф = 34.4 °
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Since the process occurs at constant pressure, the work done by the gas on the piston is given by

where
W is the work
p is the pressure

is the final volume

is the initial volume
In our problem, we have



(where the negative sign means the work is done by the piston on the gas)
We can re-arrange the previous equation and use these values to find the pressure: