Answer:
Time taken, t = 30.15 minutes
Explanation:
It is given that,
Distance from the center of planet, r = 40 miles
Speed of the shuttle, v = 500 miles per hour
Let t is the time taken by it to complete one full orbit. The displacement of the shuttle is,
d = 251.32 miles
Now time can be calculated using the expression for the velocity as :
t = 0.50264 hours
or
t = 30.15 minutes
So, the shuttle will take 30.15 minutes to complete one full orbit. Hence, this is the required solution.
Answer:
(A) 3.92 m/s²
Explanation:
From friction,
F = μR .................. Equation 1
Where F = Frictional force, μ = coefficient of static friction, R = Normal reaction.
But,
R = mg and
F = ma
therefore
ma = mgμ
Where a = acceleration, g = acceleration due to gravity, m = mass of the crate.
a = gμ...................... Equation 2
Given: μ = 0.4
Constant: g = 9.8 m/s
Substitute into equation 2
a = 0.4(9.8)
a = 3.92 m/s²
Hence the right option is (A) 3.92 m/s²
Answer:
9.09m/s
Explanation:
Speed = Distance/Time
Distance = 495km
Time = 4 hr 30 min = 4 hr 1/2hr = 4.5 hr
Therefore, Speed = 495/4.5 = 110km/h
Now to convert km/h to m/s
110 x 1000/ 110 x 110
110 cancels out each other, we are now left with
1000/110 = 9.09m/s
If both the net force and the mass are doubled, the acceleration will be unchanged.