To find the mass of the planet we will apply the relationship of the given circumference of the planet with the given data and thus find the radius of the planet. From the kinematic equations of motion we will find the gravitational acceleration of the planet, and under the description of this value by Newton's laws the mass of the planet, that is,
The circumference of the planet is,
Under the mathematical value the radius would be
Using second equation of motion
Replacing the values given,
Rearranging and solving for 'a' we have,
Using the value of acceleration due to gravity from Newton's law we have that
Here,
r = Radius of the planet
G = Gravitational Universal constant
M = Mass of the Planet
Therefore the mass of this planet is
Wavelength = (speed)/(frequency) = 300,000,000/120,000,000 = 2.5 meters
Answer:
Explanation:
Given
Acceleration a = 1.0m/s²
Displacement S = 1.0m
Required
Time t taken by the leaf to displace
Using the equation of motion
S = ut+1/2at²
Substitute
1.0 = 0+1/2(1)t²
1 = t²/2
Cross multiply
t² = 2
t = ±√2
t = 1.41secs
It takes the leaf to 1.41s to displace by 1m upward
Answer:
124.88 km/h
34.69 m/s
Explanation:
1633.8 km = 1633800 m
13 hours 4 minutes 58 seconds = 13 + 4/60 + 58/3600 = 13.083 hours
13 hours 4 minutes 58 seconds = 13*3600 + 4*60 + 58 = 47098 seconds
So the average speed in km/h is
1633.8 / 13.083 = 124.88 km/h
The average speed in m/s is
1633800 / 47098 = 34.69 m/s
Objects with more mass has more gravity so, the closer objects are to each other the stronger gravitational pull. Hope this helps