Given: Mass of earth Me = 5.98 x 10²⁴ Kg
Radius of earth r = 6.37 x 10⁶ m
G = 6.67 x 10⁻¹¹ N.m²/Kg²
Required: Smallest possible period T = ?
Formula: F = ma; F = GMeMsat/r² Centripetal acceleration ac = V²/r
but V = 2πr/T
equate T from all equation.
F = ma
GMeMsat/r² = Msat4π²/rT²
GMe = 4π²r³/T²
T² = 4π²r³/GMe
T² = 39.48(6.37 x 10⁶ m)³/6.67 x 10⁻¹¹ N.m²/Kg²)(5.98 x 10²⁴ Kg)
T² = 1.02 x 10²² m³/3.99 x 10¹⁴ m³/s²
T² = 25,563,909.77 s²
T = 5,056.08 seconds or around 1.4 Hour
Answer:
The cannonball and the ball will both take the same amount of time before they hit the ground.
Explanation:
For a ball fired horizontally from a given height, there is only a vertical acceleration on it towards the ground. This acceleration is equal to the acceleration due to gravity (g = 9.81 m/s^2). A ball dropped from a height will also only experience the same vertical acceleration downwards which is also equal to g = 9.81 m/s^2.
Therefore both the cannonball and the ball will take the same amount of time to hit the ground if they are released/fired from the same height.
Answer: The average speed over the entire trip is 3.94 m/s
Explanation:
As we know : 
Let the distance of straight line from point to point be = d
Total distance covered = 2d
Time taken to cover the forward journey = 
Time taken to cover the backward journey = 
Total time for the journey = Time taken to cover the forward journey + Time taken to cover the backward journey = 
Average speed = 
Thus average speed over the entire trip is 3.94 m/s
A) We know that:
Pressure = Force / Area
And for a spring,
F = kx, where k is the spring constant and x is the change in length.
P = kx/A; P = 101325 Pa
101325 = 3900x / (0.02²π)
x = 0.033 m or 3.3 cm
b) Work = 1/2 kx²
= 1/2 * 3900 * (0.033)²
= 2.12 Joules
Answer:
time required to mow lawn is 1274.06 minutes
Explanation:
given data
average mow = 1400 square meters each hour
area = 320000 square feet
to find out
How many minutes will take to mow lawn
solution
we know that here 1 square feet is equal to 0.092903 square meter
so 320000 square feet will be = 0.09203 × 320000 = 29728.9728 square meter
so time required is express as
time required = 
time required = 
time required = 21.23 hours
so time required = 21.23 × 60 min = 1274.06
time required to mow lawn is 1274.06 minutes