Answer:
The circumference of the Earth is 24818.58 miles
Explanation:
Analysis conceptual : The formula of the circumference is the following:
L= π*D Formula (1)
Where:
L : is the length of the circumference in miles (mi)
π : is the constant
D : is the diameter of the circumference in miles (mi)
Known data
π = 3.1416
D= 7900 miles: Diameter of the Earth
Problem development
We apply the formula 1 to calculate the circumference of the Earth (L):
L= π*7900 miles
L= 24818.58 miles
Answer:
a) 20 seconds
b) No.
Explanation:
t = Time taken for jet to stop
u = Initial velocity = 100 m/s (given in the question)
v = Final velocity = 0 (because the jet will stop at the end)
s = Displacement of the jet (Distance between the moment the jet touches the ground to the point the point it stops)
a = Acceleration = -5.00 m/s² (slowing down, so it is negative)
a) Equation of motion
The time required for the plane to slow down from the moment it touches the ground is 20 seconds.
The distance it requires for the jet to stop is 1000 m so in a small tropical island airport where the runway is 0.800 km long the plane would not be able to land. The runway needs to be atleast 1000 m long here the runway on the island is 1000-800 = 200 m short.
Percent error is calculated as follows:
% = ( |15-15.6| / 15.6 ) * 100%
% = (0.6/15.6) * 100%
% = 0.0385 * 100%
% = 3.85%
Hope this helped!
Answer:
It has a mass of 40 kg.
Explanation:
Because Force = mass x Acceleration or F = m a, we could say that the mass is force/acceleration which in your case is 2,400/60 which equals 40 kg.
Answer:
a) Δx = 180.59 m
b) T = 6001 N
Explanation:
a)
According to Newton's second law, which says that acceleration is directly proportional to the net force, the equation is equal to:
ΣF = m*a = T-f
Clearing a, and solving:
a = (T-f)/m = (T-f)/2*m = (12000-5800)/(2*700) = 4.43 m/s^2
To evaluate the final speed the following equation will be used:
vf^2 = vi^2 + 2*a*Δx = 0 + 2*a*Δx = 2*a*Δx
Clearing Δx:
Δx = vf^2/2*a = (40 m/s)^2/(2* 4.43 m/s^2) = 180.59 m
b)
The tension is equal to:
T = m*a + f = (700 kg * 4.43 m/s^2) + 2900 N = 6001 N
