Answer:

Explanation:
As we know that initial angular speed of the tub was zero and then it increases uniformly to 4 rev/s in t = 6.00 s
so we will have




Now when the tub will comes to rest uniformly after opening the lid in time interval of t = 15 s
then we have




Now total angular displacement of the tub is given as



so number of revolutions is given as


Answer:
Weight of the runner is 60 kilograms
Explanation:
Momentum is the product of weight and velocity.
The formula is : p=mv where m is mass in kg and v is velocity in m/s
Given in the question ;
v= 20 m/s and p=1200 kg*m/s
Applying the formula as;
p= mv
1200 = m * 20
1200/20 = m
60 kg = m
Solution :
Given data is :
Density of the milk in the tank, 
Length of the tank, x = 9 m
Height of the tank, z = 3 m
Acceleration of the tank, 
Therefore, the pressure difference between the two points is given by :

Since the tank is completely filled with milk, the vertical acceleration is 

Therefore substituting, we get




Therefore the maximum pressure difference in the tank is Δp = 47.87 kPa and is located at the bottom of the tank.
Answer
given,
mass of paint removed from the airline = 100 Kg
a) altitude of the airplane = 12000 m
energy saved to not to lift the plane = ?
U = m g h
U = 100 x 9.8 x 12000
U = 117.6 x 10⁵ J
U = 1.18 x 10⁷ J
b) Speed of the airplane = 250 m/s

U =31.25 x 10⁵ J
U = 3.125 x 10⁶ J