Answer:
9.6609 rad/s
10.143945 m/s
Explanation:
I = Moment of inertia = 3.75 kgm²
K = Kinetic energy = 175 J
r = Radius = 1.05 m
Kinetic energy is given by

The angular velocity of the leg is 9.6609 rad/s
Velocity is given by

The velocity of the tip of the punters shoe is 10.143945 m/s
Answer:
a) 0.46875
b) 8 km
Explanation:
Smokestack height ( H ) = 50 m
speed of pollutant / wind speed = 3 m/s
Half width = 2
= 50 m ---- ( 1 )
<u>a) If L = 2 km </u>
value of turbulent diffusion coefficient D
back to equation 1
50 = 2 √ 2 * D * ( 2000/3 )
2500 = 4 * 2 * D * ( 2000/3 )
D = 2500 / ( 8 * ( 2000/3 ) )
= 0.46875
where : time to travel ( t ) = Distance / speed = 2000 / 3
<u>b) when the smoke stack = 50 * 2 = 100 m </u>
L = 800 m = 8 km
attached below is the detailed solution
Answer:
The trucker should drive at a speed of 11 m/s m/s
Explanation:
mass of the small car, m₁ = 795 kg
initial velocity of the small car, u₁ = 35 m/s(due east)
Mass of the truck, m₂ = 3360 kg
Initial velocity of the truck, u₂ = ?
Final velocity, V = u₁ sin37 ( the line between the camera and the collision makes an angle 37° with respect to the north)
According to the law of momentum conservation:
For the x -component
m₁u₁ = (m₁ + m₂)Vsinθ
m₁u₁ = (m₁ + m₂)Vsin37
(795*35) = (795 + 3360)* Vsin37
27825 = 2500.54V
V = 27825/2500.54
V = 11.13 m/s
For the y - component
m₂u₂ = (m₁ + m₂)Vcos37
3360*u₂ = (795+3360)*11.13*cos37
3360*u₂ =36933.02
u₂ = 36933.02/3360
u₂ = 11 m/s