Explanation:
The acceleration due to gravity g is defined as
and solving for R, we find that
We need the mass M of the planet first and we can do that by noting that the centripetal acceleration 
experienced by the satellite is equal to the gravitational force 
or
The orbital velocity <em>v</em> is the velocity of the satellite around the planet defined as
where <em>r</em><em> </em>is the radius of the satellite's orbit in meters and <em>T</em> is the period or the time it takes for the satellite to circle the planet in seconds. We can then rewrite Eqn(2) as
Solving for <em>M</em>, we get
Putting this expression back into Eqn(1), we get
Then the maximum height of the catapult will be 69.78 meters.
<h3>What is kinematics?</h3>
The study of motion without considering the mass and the cause of the motion. The equation of motion is given below.
v = u + at
s = ut + (1/2)at²
v² = u² + 2as
A catapult can project a projectile at a speed as high as 37.0 m/s. (a) if air resistance can be ignored.
a = - 9.81 m/s²
u = 37 m/s
v = 0
s = h
Then the maximum height of the catapult will be given by the third equation.
v² = u² + 2as
0² = 37² - 2 × 9.81 × h
h = 37² / (2 × 9.81)
h = 69.78 meters
Then the maximum height of the catapult will be 69.78 meters.
More about the kinematics link is given below.
brainly.com/question/7590442
#SPJ1
Answer:
200 N/m
20 rad/s
0.31415 seconds
3.18309 Hz
Explanation:
m = Mass of glider = 0.5 kg
x = Displacement of spring
F = Force on spring = 6 N
From Hooke's law we have relation
The spring constant is 200 N/m
Angular frequency is given by
The angular frequency is 20 rad/s
Frequency is given by
The frequency is 3.18309 Hz
Time period is given by
The time period is 0.31415 seconds
Answer:
v =163.95 m/s
Explanation:
Given that,
The wavelength of wave, 
Distance covered, 
We need to find the speed of the wave. We know that,
speed = distance/time
So,
So, the speed of the wave is equal to 163.95 m/s.
........loke above in the picture
