Answer:
A. 1.125×10^-7 kgm^2
B. 6.64875 rad/s
Explanation:
The moment of inertia is defined as a quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation.
A. Moment of inertia = m1✖r1^2
=1.80 x (2.5x10^-4)^2
= 6.25x10^8 x 1.80
= 1.125 x 10^-7 kgm^2.
B. w is represented as Angular speed.
V is velocity, T is time in period.
Velocity= distance / time.
V= 2.5x10^-4 / 0.940
V= 2.6595 metre per seconds
w= v/r
w= 2.6595 / 0.400
w= 6.64875 rad/s.
Answer:
i) 21 cm
ii) At infinity behind the lens.
iii) A virtual, upright, enlarged image behind the object
Explanation:
First identify,
object distance (u) = 42 cm (distance between object and lens, 50 cm - 8 cm)
image distance (v) = 42 cm (distance between image and lens, 92 cm - 50 cm)
The lens formula,

Then applying the new Cartesian sign convention to it,

Where f is (-), u is (+) and v is (-) in all 3 cases. (If not values with signs have to considered, this method that need will not arise)
Substituting values you get,
i) 
f = 21 cm
ii) u =21 cm, f = 21 cm v = ?
Substituting in same equation
v ⇒ ∞ and image will form behind the lens
iii) Now the object will be within the focal length of the lens. So like in the attachment, a virtual, upright, enlarged image behind the object.
Explanation:
It is given that,
Weight of the rock in air, W = 110 N
Since, W = mg


m = 11.22 kg
We need to find the apparent weight of the rock when it is submerged in water. Apparent weight is equal to the weight of liquid displaced i.e.

d is the density of water, 
V is the volume of rock, 

M = 3.37 kg
The apparent weight in water, W = m - M

W = 76.93 N
So, the apparent weight of the rock is 76.93 N. Hence, this is the required solution.
A would be the correct answer. Its the only one to make sense since you are trying to solve the conflict!
Answer:
0.13
Explanation:
Draw a free body diagram. There are three forces:
Weight force mg pulling down.
Normal force N pushing perpendicular to the incline.
Friction force Nμ pushing parallel up the incline.
Sum of the forces perpendicular to the incline:
∑F = ma
N − mg cos θ = 0
N = mg cos θ
Sum of the forces parallel down the incline:
∑F = ma
mg sin θ − Nμ = ma
mg sin θ − mgμ cos θ = ma
g sin θ − gμ cos θ = a
gμ cos θ = g sin θ − a
μ = (g sin θ − a) / (g cos θ)
Given a = 3.3 m/s² and θ = 27°:
μ = (9.8 m/s² sin 27° − 3.3 m/s²) / (9.8 m/s² cos 27°)
μ = 0.13