Answer:
Explanation:
“Officially, the decade with the most Category 5 hurricanes is 2000–2009, with eight Category 5 hurricanes having occurred: Isabel (2003), Ivan (2004), Emily (2005), Katrina (2005), Rita (2005), Wilma (2005), Dean (2007), and Felix (2007).”
Answer:
1.429*10^-5 m
Explanation:
From the question, we are given that
Diameter of the cable, d = 3 cm = 0.03 m
Force on the cable, F = 2 kN
Young Modulus, Y = 2*10^11 Pa
Area of the cable = πd²/4 = (3.142 * 0.03²) / 4 = 0.0028 / 4 = 0.0007 m²
The fractional length = Δl/l
Δl/l = F/AY
Δl/l = 2000 / 0.0007 * 2*10^11
Δl/l = 2000 / 1.4*10^8
Δl/l = 1.429*10^-5 m
Therefore, the fractional length is 1.429*10^-5 m long
Answer: The mass released from the top of the 60º incline.
Explanation:
The external forces acting upon any of the masses, are the same for both (not numerically): the gravity, the normal force and the friction force.
As the gravity is always directed downward, we can decompose it in a component normal to the surface (that is equal to the normal force as the body is not accelerating in this direction), and another which is parallel to the incline, and which is the responsible for the acceleration of the object along the incline (opposed by the friction force).
So, we can write the following:
Fx = mg sin θ - μk .Fn = m.g. sin θ - μk. mg cos θ= m a
We can easily see, that if the angle is larger, the acceleration component due to gravity will be larger, and at the same time, the friction force will be smaller, so the acceleration for the 60º will be the larger one.
No additional force is required because it's already going downhill