Answer:
23.98 rpm
Explanation:
d = diameter of merry-go-round = 2.4 m
r = radius of merry-go-round = (0.5) d = (0.5) (2.4) = 1.2 m
m = mass of merry-go-round = 270 kg
I = moment of inertia of merry-go-round
Moment of inertia of merry-go-round is given as
I = (0.5) m r² = (0.5) (270) (1.2)² = 194.4 kgm²
M = mass of john = 34 kg
Moment of inertia of merry-go-round and john together after jump is given as
I' = (0.5) m r² + M r² = 194.4 + (34) (1.2)² = 243.36 kgm²
w = final angular speed
w₀ = initial angular speed of merry-go-round = 20 rpm = 2.093 rad/s
v = speed of john before jump
using conservation of angular momentum
Mvr + I w₀ = I' w
(34) (5) (1.2) + (194.4) (2.093) = (243.36) w
w = 2.51 rad/s
w = 23.98 rpm
Answer:
u = 44.44 m/s
Explanation:
given,
horizontal displacement = 50 m
maximum height = 100 m
initial velocity (v₀) = ?
launching angle(θ) = ?
using formula
........(1)
.........(2)
dividing equation (2)/(1)
now using equation (2)
u = 44.44 m/s
Unfortunately, since Legos are made of plastic, they will stick around for millennia if they end up in landfills. Recycling Legos is hard, since they are made with an unusual plastic that is not accepted at many recycling centers. However, Legos are highly reusable.
Using Ohm's Law, R = V/I;
R = (1.5V)/(0.5A) = 3.0Ω
To hit the target the crew drop the crate before the plane is directly over the target. It is because <span>because the cargo has forward velocity and therefore before it reaches the ground it travels some distance. The answer is A. Hope it helps. </span>