Answer:
0.6983 m/s
Explanation:
k = spring constant of the spring = 0.4 N/m
L₀ = Initial length = 11 cm = 0.11 m
L = Final length = 27 cm = 0.27 m
x = stretch in the spring = L - L₀ = 0.27 - 0.11 = 0.16 m
m = mass of the mass attached = 0.021 kg
v = speed of the mass
Using conservation of energy
Kinetic energy of mass = Spring potential energy
(0.5) m v² = (0.5) k x²
m v² = k x²
(0.021) v² = (0.4) (0.16)²
v = 0.6983 m/s
A).
It would decrease because the speed of sound and temperature are proportional.
Answer:
Angular momentum, 
Explanation:
It is given that,
Radius of the axle, 
Tension acting on the top, T = 3.15 N
Time taken by the string to unwind, t = 0.32 s
We know that the rate of change of angular momentum is equal to the torque acting on the torque. The relation is given by :

Torque acting on the top is given by :

Here, F is the tension acting on it. Torque acting on the top is given by :





So, the angular momentum acquired by the top is
. Hence, this is the required solution.
The force is still 1 pound.
The TORQUE around the pivot is (force) x (distance from the pivot) = 1 foot-pound. (B)
Answer:
Explanation:
We have here values from SI and English Units. I will convert the units to English Units.
We hace for the power P,


we have other values such
and
(specific weight of the water), and 0.85 for \eta
We need to figure the flow rate of the water (V) out, that is,

Where
is the turbine efficiency, at which is,

Replacing,


With this value (the target of this question) we can also calculate the mass flow rate of the waters,
through the density and the flow rate,

converting the slugs to lbm, 1slug = 32.174lbm, we have that the mass flow rate of the water is,
