Answer:
Mass of the planet = 6.0 ×
Explanation:
Time period = 2π (R + h) / v
Orbital speed (v) = √GM / (R + h)
T² = 4π² (R + h)² / (GM/ (R + h))
= 4π² (R + h)³ / GM
making m the subject of the formula
m = 4π² (R + h)³ / GT²
= 4π² ( 6.38 × + 230 × 10³ )³ / ( 6.67 ×
) × (89 × 60)²
= 4π² ( 6610000)³ / ( 6.67 × ) × (89 × 60)²
= 5.99 ×
= 6.0 ×
Answer : The heat rejected by the system is 1000 J
Explanation :
As per first law of thermodynamic,
where,
= internal energy of the system
q = heat added or rejected by the system
w = work done of the system
First we have to determine the internal energy for 30 grams of gas.
As, 1 gram of gas has internal energy = 200 J
So, 30 grams of gas has internal energy = 200 × 30 = 6000 J
Now we have to determine the heat of the system.
= -6000 J
w = 5000 N.m = 5000 J
Now put all the given values in the above formula, we get:
The negative sign indicate that the heat rejected by the system.
Hence, the heat rejected by the system is 1000 J