The diameter of the column of the water as it hits the bucket is 4.04 cm
The equation of continuity occurs in the fluid system and it asserts that the inflow and the outflow of the volume rate at the inlet and at the outlet of the system are equal.
By using the kinematics equation to determine the speed of the water in the bucket and applying the equation of continuity to estimate the diameter of the column, we have the following;
Using the kinematics equation:
From the equation of continuity:
Since diameter = 2r;
∴
The diameter of the column of the water is:
= 2(2.02) cm
= 4.04 cm
Learn more about the equation of continuity here:
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Answer: Impulse = 20 Ns
Explanation:
Impulse is the product of force and time
Also impulse = momentum
Where momentum is the product of mass and velocity.
Given that
M = 2kg
V = 10 m/s
Impulse = MV = 2 × 10 = 20 Ns
The roller coaster is moving in a circular path, so the force that must be computed is the centripetal force. The centripetal force is the force acting on an object undergoing circular motion and is directed towards the center of the circular path. This is computed using:
F = mv²/r
F = (500 * 18²) / 12
F = 13,500 N
Now, at the bottom of the track, the track is also supporting the weight of the car and its passengers, which is:
W = mg
W = 500 * 9.81
W = 4,905 N
The total reactive force exerted by the track to counter the centripetal force and the weight of the car is:
F = 13,500 + 4,905
F = 18,405 Newtons
Solid has vibrating molecules that barely move to keep it's shape
liquid moves at an average speed and keeps it's volume but not it's shape
gases move quickly and all over the place so they don't have a shape or volume
plasma is the quickest moving and is like a gas
