<span>f2 = f0/4
The gravity from the planet can be modeled as a point source at the center of the planet with all of the planet's mass concentrated at that point. So the initial condition for f0 has the satellite at a distance of 2r, where r equals the planet's radius.
The expression for the force of gravity is
F = G*m1*m2/r^2
where
F = Force
G = Gravitational constant
m1,m2 = masses involved
r = distance between center of masses.
Now for f2, the satellite has an altitude of 3r and when you add in the planet's radius, the distance from the center of the planet is now 4r. When you compare that to the original distance of 2r, that will show you that the satellite is now twice as far from the center of the planet as it was when it started. So let's compare the gravitational attraction, before and after.
f0 = G*m1*m2/r^2
f2 = G*m1*m2/(2r)^2
f2/f0 = (G*m1*m2/(2r)^2) / (G*m1*m2/r^2)
The Gm m1, and m2 terms cancel, so
f2/f0 = (1/(2r)^2) / (1/r^2)
f2/f0 = (1/4r^2) / (1/r^2)
And the r^2 terms cancel, so
f2/f0 = (1/4) / (1/1)
f2/f0 = (1/4) / 1
f2/f0 = 1/4
f2 = f0*1/4
f2 = f0/4
So the gravitational force on the satellite after tripling it's altitude is one fourth the original force.</span>
Answer:
Explanation:
As we know that Beacon is rotating with angular speed
so we have
now we know that
here we will have
so we have
Answer:
t = 6,485 s
, t_step = 25.94 s
the elephant gives 2.3 step very minute
Explanation:
Let's approximate this system to a simple pendulum that has angular velocity
w = √L / g
Angular velocity and period are related
w = 2π / T
T = 2π √g / L
Let's find the period
T = 2π √9.8 / 2.3
T = 12.97 s
Stride time is
t = T / 2
t = 12.97 / 2
t = 6,485 s
Frequency is inversely proportional to period
f = 1 / t
f = 1 / 6,485
f = 0.15 Hz
Since the elephant has 4 legs and each uses a time t, the total time for one step is
t_step = 4 t
t_step = 4 6.485
t_step = 25.94 s
f_step = 1/t_step =0.0385 s-1
Now let's use a proportion rule to find the number of steps in 60 s
#_step = 60 / t_step
#__step = 60 / 25.94
#_step = 2.3 steps
So the elephant gives 2.3 step very minute
Answer:
mass of the person walking to west is 65 kg.
Given:
Momentum = 52 
Speed = 0.8 
To find:
Mass of the person = ?
Formula used:
Momentum is given by,
P = m × v
Where, P = momentum
m = mass
v = speed
Solution:
Momentum is given by,
P = m × v
Where, P = momentum
m = mass
v = speed
Mass = 
m = 
m = 65 kg
Thus, mass of the person walking to west is 65 kg.
1000 kcal because you only get 10% of the energy of the thing you eat
