Answer: the radius of the satellite's orbit is r = 8.78×10⁷m
Explanation:
given the time period, T= 3days
converting the time in days to seconds is given as;
time, T=(3*24*60*60) sec
T=259200 sec
from the force relation;
mv²/r = Gm×M/r²
v²=G×M/r ---------------(1)
and
V=2pi×r/T
V²=4×pi²×r²/T²
====>
from equation (1)
, we have
4×pi²×r²/T²=G×M/r
this becomes; 4×pi²×r³/T² = G×M
r³ = G×M×T²/(4pi²)
r³ = 6.67×10⁻¹¹×(5.97×10²⁴)×(259200)²/(4pi²)
==> r=8.78×10⁷m
radius of the orbit, r=8.78×10⁷ m
Answer: the minimum spacing that must be there between two objects on the earth's surface if they are to be resolved as distinct objects by this telescope 6.45 cm
Explanation:
Given that;
diameter of the mirror d = 1.7 m
height h = 180 km = 180 × 10³ m
wavelength λ = 500 nm = 5 × 10⁻⁹ m
Now Angular separation from the peak of the central maximum is expressed as;
sin∅= 1.22 λ / d
sin∅ = (1.22 × 5 × 10⁻⁹) / 1.7
sin∅ = 3.588 × 10⁻⁷
we know that;
sin∅ = object separation / distance from telescope
object separation =
sin∅ × distance from telescope
object separation = 3.588 × 10⁻⁷ × 180 × 10³
object separation =6.45 × 10⁻² m
then we convert to centimeter
object separation = 6.45 cm
Therefore the minimum spacing that must be there between two objects on the earth's surface if they are to be resolved as distinct objects by this telescope 6.45 cm
Answer:
you
Explanation:
you will be used is this frl?
Answer:
426.84 m
Explanation:
initial velocity u = 0
time t = 3.3 s
distance travelled s = 53.4 m
acceleration due to gravity = g
s = ut + 1/2 g t²
53.4 = 0 + 1/2 g x 3.3²
g = 9.8 m /s²
For the whole length of fall
distance travelled = h
total time = 6.6 + 3.3 = 9.9 s
h = ut + 1/2 g t²
u again = 0
h = .5 x 9.8 x 9.9²
= 480.24 m
distance travelled in last 6.6 s
= 480.24 - 53.4
= 426.84 m
Light travels at a speed of 299,792 kilometers per second; 186,287 miles per second
Mercury it will take 193.0 seconds(3.2 minutes)
Venus it will take 360.0 seconds(6.0 minutes)
Earth it will take 499.0 seconds(8.3 minutes)
Mars It will take 759.9 seconds(12.6 minutes)
Jupiter It will take 2595.0 seconds(43.2 minutes)
Saturn it will take 4759.0 seconds(79.3 minutes)
Uranus it will take 9575.0 seconds(159.6 minutes)
Neptune it will take 14998.0 seconds(4.1 hours)
Pluto it will take 19680.0 seconds(5.5 hours)
