Brain surgery. Surgeons can remove brain tumors by using a cavitron ultrasonic surgical aspirator, which produces sound waves of
1 answer:
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Answer:
(A) 0.63 J
(B) 0.15 m
Explanation:
length (L) = 0.75 m
mass (m) =0.42 kg
angular speed (ω) = 4 rad/s
To solve the questions (a) and (b) we first need to calculate the rotational inertia of the rod (I)
I = Ic + m
Ic is the rotational inertia of the rod about an axis passing trough its centre of mass and parallel to the rotational axis
h is the horizontal distance between the center of mass and the rotational axis of the rod
I = )^{2}[/tex]
I = )^{2}[/tex])
I = 0.07875 kg.m^{2}
(A) rods kinetic energy = 0.5I
= 0.5 x 0.07875 x = 0.63 J 0.15 m
(B) from the conservation of energy
initial kinetic energy + initial potential energy = final kinetic energy + final potential energy
Ki + Ui = Kf + Uf
at the maximum height velocity = 0 therefore final kinetic energy = 0
Ki + Ui = Uf
Ki = Uf - Ui
Ki = mg(H-h)
where (H-h) = rise in the center of mass
0.63 = 0.42 x 9.8 x (H-h)
(H-h) = 0.15 m
Answer:
(a) 86.65 J
(b) 149.65 J
Solution:
As per the question:
Diameter of the pool, d = 12 m
⇒ Radius of the pool, r = 6 m
Height of the pool, H = 3 m
Depth of the pool, D = 2.5 m
Density of water,
Acceleration due to gravity, g =
Now,
(a) Work done in pumping all the water:
Average height of the pool, h =
h =
Volume of water in the pool, V =
Mass of water,
Work done is given by the potential energy of the water as:
(b) Work done to pump all the water through an outlet of 2 m:
Now,
Height, h = 2.75 + 2 = 4.75
Work done,