Answer:
(i) -556 rad/s²
(ii) 17900 revolutions
(iii) 11250 meters
(iv) -55.6 m/s²
(v) 18 seconds
Explanation:
(i) Angular acceleration is change in angular velocity over time.
α = (ω − ω₀) / t
α = (10000 − 15000) / 9
α ≈ -556 rad/s²
(ii) Constant acceleration equation:
θ = θ₀ + ω₀ t + ½ αt²
θ = 0 + (15000) (9) + ½ (-556) (9)²
θ = 112500 radians
θ ≈ 17900 revolutions
(iii) Linear displacement equals radius times angular displacement:
s = rθ
s = (0.100 m) (112500 radians)
s = 11250 meters
(iv) Linear acceleration equals radius times angular acceleration:
a = rα
a = (0.100 m) (-556 rad/s²)
a = -55.6 m/s²
(v) Angular acceleration is change in angular velocity over time.
α = (ω − ω₀) / t
-556 = (0 − 15000) / t
t = 27
t − 9 = 18 seconds
Answer:
D. half as much
Explanation:
let m and M be the mass of the planets and r be the distance between them.
then: the force of attraction between them is given by,
F = G×m×M/(r^2)
if we keep one mass constant and double the other and also double the distance between them.
the force of attraction becomes:
F1 = 2G×m×M/[(2×r)^2]
= 2G×m×M/[4×(r)^2]
= (1/2)G×m×M/(r^2)
= 1/2×F
therefore, when you double one mass and keep the other mass constant and double the distance between the masses you decrease the force by a factor of 1/2.
Answer:wave motion is a process of transferring a disturbance from one point to another in a medium without any transfer of particles of the medium
Explanation:
Wave motion is a process of transferring a disturbance (in form of kinetic energy) from one point to another in the medium without any transfer of particles of the medium
We know that acceleration due to gravity is the same for all objects. But if we drop a flower petal and a hammer from the same height, the hammer falls faster. Why does this happen?
Let me try to explain. The petal falls slower as the resistance it faces by air slows it down much more. Even though the hammer is also affected by this resistance, the speed decrease is negligible due to its weight.
To simplify, a petal is much lighter than a hammer. Even though gravity accelerates them at the same speeds, the petal slows down due to air resistance but the hammer doesn't, as its weight counteracts the air resistance.
I may be confusing at times, so please ask me if you want anything clarified :)
Hope this helps you!
