Answer:
E = 1/2 M V^2 + 1/2 I ω^2 = 1/2 M V^2 + 1/2 I V^2 / R^2
E = 1/2 M V^2 (1 + I / (M R^2))
For a cylinder I = M R^2
For a sphere I = 2/3 M R^2
E(cylinder) = 1 + 1 = 2 omitting the 1/2 M V^2
E(sphere) = 1 + 2/3 = 1.67
E(cylinder) / E(sphere) = 2 / 1.67 = 1.2
The cylinder initially has 1.20 the energy of the sphere
The PE attained is proportional to the initial KE
H(sphere) = 2.87 / 1/2 = 2.40 m since it has less initial KE
What do we call an object displaced by an unbalanced Force,
Accelerated object,
And we also know that,
Due to acceleration, An object displaces.
But I'll use Newton's 1st law to prove it,
Which is, An object will remain in rest or in uniform motion until it is compelled by an external Force.
As per the his law,
The cat will remain on the dashboard of that moving car until it is compelled by Air Force (external Force).
!! Hope It Helps !!
Answer:
vr = 5.39 m/s
Explanation:
vi = 16.9 m/s
∅ = 36.5º
d = 16.8 m
g = 9.81 m/s²
vr = ?
We have to get <em>Xmax = R</em> as follows
R = vi²*Sin (2∅) / g
⇒ R = (16.9 m/s)²*Sin (2*36.5º) / (9.81 m/s²)
⇒ R = 27.842 m
Now we can get t, using the formula:
R = vi*Cos ∅*t ⇒ t = R / (vi*Cos ∅)
⇒ t = (27.842 m) / (16.9 m/s*Cos 36.5º) = 2.049 s
We get x (the distance which the receiver must be run) as follows
x = R - d
⇒ x = 27.842 m - 16.8 m = 11.042 m
Finally we have
vr = x / t
⇒ vr = 11.042 m / 2.049 s = 5.39 m/s
We use about 38 percent of Earth's land surface for agriculture