Answer:
E. The gas absorbs 50 of energy as heat and does 50」ot work
Explanation:
This is following the law of thermodynamics that energy is neither created nor destroyed
Answer:
6.3 rev/s
Explanation:
The new rotation rate of the satellite can be found by conservation of the angular momentum (L):
The initial moment of inertia of the satellite (a solid sphere) is given by:
Where : is the satellite mass and r: is the satellite's radium
Now, the final moment of inertia is given by the satellite and the antennas (rod):
Where : is the antenna's mass and l: is the lenght of the antenna
So, the new rotation rate of the satellite is:
Therefore, the new rotation rate of the satellite is 6.3 rev/s.
I hope it helps you!
The maximum height is reached by the ball: the height is 96(3) - 16(9) = 144 ft.
Answer:
Explanation:
x = 3 Cos (4πt + π/5)
(a) Substitute t = 3 s
x = 3 Cos (12π + π/5)
x = 3 (0.82) = 2.46 m
(b) Velocity, v = dx/dt
v = 3 (-1)(4π) Sin(4πt + π/5)
Substitute t = 3 s
v = - 37.68 Sin(12π + π/5)
v = - 37.68 (0.572)
v = - 21.55 m/s
(c) Acceleration, a = dv/dt
a = 3 (-1)(4π)(4π) Cos(4πt + π/5)
Substitute t = 3 s
a = - 473.26 (0.82)
a = - 388.21 m/s²
(d) Phase = 4πt + π/5
Substitute t = 3 s
Phase = 12 π + π/5 = 38.308 rad
(e) ω = 4π
so, 2πf = 4π
f = 2 Hz
(f) T = 1 / f = 1 / 2 = 0.5 second