Answer:
3 x 10^18 kg
Explanation:
Time period, T = 3 days = 86400 x 3 = 259200 seconds
r = 7 x 10^5 m
Let M be the mass of planet
Use the formula of time period of satellite

Where, G be the universal gravitational constant.

By substituting the values

M = 3 x 10^18 kg
Thus , the mass of planet is 3 x 10^18 kg.
Answer:
–2.25 m/s²
Explanation:
From the question given above, the following data were obtained:
Initial velocity (u) = 15 m/s
Distance travelled (s) = 50 m
Final velocity (v) = 0 m/s
Deceleration (a) =?
v² = u² + 2as
0² = 15² + (2 × a × 50)
0 = 225 + 100a
Collect like terms
0 – 225 = 100a
– 225 = 100a
Divide both side by 100
a = –225/100
a = –2.25 m/s²
Thus, the deceleration of the vehicle is –2.25 m/s²
Gravity pulls the water down off the mountain, witch is run-off.
Answer:
Explanation:
A ) angular velocity ω = 2π / T
= 2 x 3.14 / 60
= .10467 rad / s
linear velocity v = ω R
= .10467 x 50
= 5.23 m / s
centripetal force = m v² / R
= mg v² / gR
= 834 x 5.23² / 9.8 x 50
= 46.55 N
B )
apparent weight
= mg - centripetal force
= 834 - 46.55
= 787.45 N
C ) apparent weight
= mg + centripetal force
= 834 + 46.55
= 880.55 N.
D )
For apparent weight to be zero
centripetal force = mg
mg = mv² / R
v² = gR
= 9.8 x 50
= 490
v = 22.13 m /s
time period of revolution
= 2π R /v
2 x 3.14 x 50 / 22.13
= 14.19 s
Explanation:
It is given that initially pressure of ideal gas is 4.00 atm and its temperature is 350 K. Let us assume that the final pressure is
and final temperature is
.
(a) We know that for a monoatomic gas, value of
is \frac{5}{3}[/tex].
And, in case of adiabatic process,
= constant
also, PV = nRT
So, here
= 350 K,
, and 
Hence, 

= 267 K
Also,
= 4.0 atm,
, and 


= 2.04 atm
Hence, for monoatomic gas final pressure is 2.04 atm and final temperature is 267 K.
(b) For diatomic gas, value of
is \frac{7}{5}[/tex].
As,
= constant
also, PV = nRT
= 350 K,
, and 


= 289 K
And,
= 4.0 atm,
, and 


= 2.27 atm
Hence, for diatomic gas final pressure is 2.27 atm and final temperature is 289 K.