Answer:
The angular momentum of the solid sphere is 0.667 kgm²/s
Explanation:
Given;
radius of the solid sphere, r = 0.15 m
mass of the sphere, m = 13 kg
angular speed of the sphere, ω = 5.70 rad/s
The angular momentum of the solid sphere is given;
L = Iω
Where;
I is the moment of inertia of the solid sphere
ω is the angular speed of the solid sphere
The moment of inertia of solid sphere is given by;
I = ²/₅mr²
I = ²/₅ x (13 x 0.15²)
I = 0.117 kg.m²
The angular momentum of the solid sphere is calculated as;
L = Iω
L = 0.117 x 5.7
L = 0.667 kgm²/s
Therefore, the angular momentum of the solid sphere is 0.667 kgm²/s
Answer:
750 force
Explanation:
I have never worked with force but I can guess using the formula. 1500, which is the mass, multiplied by the acceleration, 0.5, would equal 750 force, if being applied by the equation listed, Force= mass×acceleration
Answer:
the fundamental frequency produced by the open pipe is 120.78 Hz
Explanation:
Given;
length of the open pipe, L = 1.42 m
speed of sound in air, v = 343 m/s
The length of the open pipe for the fundamental frequency is equivalent to half of wavelength;

The fundamental frequency produced by the open pipe is calculated as;

Therefore, the fundamental frequency produced by the open pipe is 120.78 Hz
Answer:
(C) Work=9.8×10⁴J
Explanation:
Given data
mass m=1000 kg
building height=10 m
To
Find work
Solution
As we know that:

So option (C) is correct one
Answer:
B. They are inversely proportional to the square of the distance.
Explanation:
The gravitational force between two objects is given by:

where
G is the gravitational constant
m1, m2 are the masses of the two objects
r is the distance between the two objects
While the electrical force is given by

where
k is the Coulomb's constant
q1, q2 are the charges of the two objects
r is the distance between the two objects
As we see from the two equations, both forces are inversely proportional to the square of the distance, so the correct option is
B. They are inversely proportional to the square of the distance.