Answer:
the average kinetic energy of water particles - C.
Answer:
7.4 m
Explanation:
Friction is going to consume all of the initial energy:
Solving for x:
Since the train travels 30 miles per hour, you can divide the total distance by the miles per hour to get the time, so it takes 240mi/30 mph, which is 8 hours, since the mile units cancel themselves out
Answer:
1) a) I₁ = 0.2941 kg m², b) I₂ = 0.2963 kg m², c) I_{total} = 0.5904 kg m²
3) α = 6.31 10⁶ rad / s²
Explanation:
1) The moment of inertia for bodies with high symmetry is tabulated, for a divo with an axis passing through its center is
I = ½ m r²
a) moment of inertia of the upper disk
I₁ = ½ m₁ r₁²
I₁ = ½ 1,468 0.633²
I₁ = 0.2941 kg m²
b) upper aluminum disc moment of inertia
I₂ = ½ m₂ r₂²
I₂ = ½ 1.479 0.633²
I₂ = 0.2963 kg m²
c) the moment of inertia is an additive scalar quantity therefore
I_{total} = I₁ + I₂
I_{total} = 0.2941 + 0.2963
I_{total} = 0.5904 kg m²
3) ask the value of the angular acceleration, that is, the second derivative of the angle with respect to time squared
indicate the angular velocity of the system w = 400 rev / s
Let's reduce the SI system
w = 400 rev / s (2π rad / rev) = 2513.27 rad / s
as the system is rotating we can calculate the centripetal acceleration
a = w² R
a = 2513.27² 0.633
a = 3.998 10⁶ m / s²
the linear and angular variable are related
a = α r
α = a / r
α = 3.998 10⁶ / 0.633
α = 6.31 10⁶ rad / s²
Answer:
The coefficient of restitution is greater in a head-on collision
Explanation:
Let m be the masses of the electric vehicles and v be their initial speeds. Since they are moving in opposite directions, the momentum, p₁ of the first electric vehicle = mv and that of the second vehicle is p₂ = -mv. Let p₃ and p₄ be their final momenta. From the law of conservation of momentum, momentum before impact = momentum after impact.
So, p₁ + p₂ = p₃ + p₄
mv + (-mv) = p₃ + p₄
mv - mv = p₃ + p₄
0 = p₃ + p₄
p₃ = -p₄
mv₃ = -mv₄
v₃ = -v₄. where v₃ and v₄ are their final velocities. This shows that their final velocities are not zero. So they do not come to a stop.
Now, we calculate the coefficient of restitution, e = -(v₄ - v₃)/(v₂ - v₁) = -(v₄ -
(-v₄))/(-v - (v))= - (v₄+ v₄)/-(v + v) = 2v₄/2v = v₄/v. Since e ≠ 0, the vehicles do not come to a stop
Head-on collisions are more jarring because, the coefficient of restitution is greater in an head-on collision because, the maximum value of the velocity is used by the electric vehicles. They only have velocity components in one direction, thereby, having a maximum value for the coefficient of restitution.