Answer:
5/6 MR²
Explanation:
In the composite object, the distance from the disk's axis to the rod's axis is R/2. Using parallel axis theorem, the rod's new moment of inertia is:
I = 1/12 MR² + M (R/2)²
I = 1/12 MR² + 1/4 MR²
I = 1/3 MR²
The total moment of inertia is therefore:
I = 1/2 MR² + 1/3 MR²
I = 5/6 MR²
The sphere slow down due to friction force between the surface of the sphere and the surface on that the sphere is rolling . The friction force acting against the motion of the sphere. Thats why it is slowed down. In fact not only a sphere, anything can not slow down untill a force act against it's motion.
Another way to test your question is to build your own miniature buildings. Depending on how in-depth you go, building could get a little pricey, but if you keep it basic there shouldn't be a problem. Decide on a certain number of foundations to test [maybe 3 or so] and try simulating an earthquake.
<span>Hope this helps! </span>
Answer:
1 mile
Explanation:
The distance travelled is the length of the path that the runner traveled.
As you have stated he has traveled a 1 mile track so the length he traveled is 1 mile.
The point of ending matters only in displacement not in distance. In displacement we measure the unidirectional shortest distance between two points where the displacement in this case is 0.
Answer:
(a) 2.542 cm
(b) 272.7°C
Explanation:
diameter, d = 2.540 cm
T1 = 20°C
α = 11 x 10^-6 /°C
(a) Let d' be the diameter.
T2 = 87°C
Use he formula for the areal expansion
A' = A ( 1 + βΔT)
where, β is the coefficient of areal expansion and ΔT is teh rise in temperature, A' be the area at high temperature and A be the area at low temperature.
β = 2 α = 2 x 11 x 106-6 = 22 x 10^-6 /°C
So,
D'^2 = 2.54^2 ( 1 + 22 x 10^-6 x 67)
D' = 2.542 cm
(b) Let the change in temperature is ΔT.
Use the formula for the volumetric expansion
ΔV = V x γ x ΔT
Where, γ = 3 x α = 3 x 11 x 10^-6 = 33 x 10^-6 /°C
0.9/100 = 33 x 10^-6 x ΔT
ΔT = 272.7°C
