Answer:
W = 0.678 rad/s
Explanation:
Using the conservation of energy:
Roll up and hill without slipping is the sumatory of two energys, rotational and translational, so:
where I is the moment of inertia, W the angular velocity at the base of the hill, m the mass of the ball, V the velocity at the base of the hill, g the gravity and h the altitude.
First, we will find the moment of inertia as:
I =
where m is the mass and R the radius, so:
I =
I = 36.26 Kg*m^2
Then, replacing values on the initial equation, we get:
also we know that:
V =WR
so:
Finally, solving for W, we get:
W = 0.678 rad/s
I believe the answer is C: For objects at extremely fast speeds.
Hope this helps!
Answer:
t=13000 or t= 1.3x10^4 (ten to the power of four)
Explanation:
d= 650m v=0.05 t=? v= d/t t= d/v 650m/0.05m/s= 13000 if you need to simplify it into scientific notation, move the decimal up, you need to move it up four times, so t= 1.3x10^4s
Answer:
The difference of power is
ΔP = 172.767 kPa
Explanation:
ρ = 1390 kg / m³
v = 9.63 m/s
d₁ = 10.1 cm , d₂ = 15.3 cm
Δz = 8.85 m
To find the difference ΔP between the fluid pressure at locations 2 and the fluid pressure at location 1
ΔP = ρ * g * Z + ¹/₂ * ρ * v² * ( 1 - (d₁ / d₂)⁴ )
ΔP = 1390 kg / m³ * 9.8 m/s² * 8.85 m + 0.5 * 1390 kg / m³ *(9.63 m /s)² * (1 - (0.101 m / 0.153 m )⁴ )
ΔP = 172.767 x 10 ³ Pa
ΔP = 172.767 kPa