A student conducted an experiment that used two rose plants to determine if a liquid formula for fertilizer was better than a dr
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Answer:
A typical example of where the continuity equation can be applied, is in finding the cross sectional area of a laminar falling stream of water from a pipe at an elevation, at the point where it hits the ground.
The speed of the water through the discharge opening of the pipe can be measured with a flow-meter, and the cross sectional opening of the pipe is known.
As the water leaves the pipe, and falls towards the ground, the water stream is accelerated under gravity, and the speed of the water stream increase. The increase in the speed of the water stream causes the cross sectional area to decrease in obedience of the continuity law and equation. If the speed of can be measured, then the area of the water stream just before the water touches the ground can be calculated from the continuity equation.
If the speed of the water stream can not be measured, then it can be calculated using Newton' equation of motion
where
v = the velocity of the water stream at the point where it hits the ground
u = the velocity of the water at the pipe discharge (measured with a flow meter in the pipe)
g = acceleration due to gravity
z = the elevation of the pipe above the ground.
After calculating the speed of the water stream at the point where it hits the ground, the cross sectional area of the the stream can be calculated from the continuity equation.
where
u and v are the velocities of the water stream at the pipe discharge and at the ground respectively.
A = the cross sectional area of the pipe
a = the area of the water stream before it hits the ground.
the equation is simplified as
Answer:
A. Object A requires twice the force to stop as Object B.
Explanation:
Inertia can be defined as the tendency of an object or a body to continue in its state of motion or remain at rest unless acted upon by an external force.
Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.
Mathematically, it is given by the formula;
<em>Let's assume the following values;</em>
Mass of object B = 10 kg
Mass of object A = 2 * B = 2 * 10 = 20 kg
Acceleration = 5 m/s²
I. To find the force for B;
<em>Force B = 50 Newton</em>
II. To find the force for A;
<em>Force A = 100 Newton</em>
From the calculation, we can deduce that Force A (100 N) is twice or double the value of Force B (50 N).
<em>In conclusion, since object A has twice the mass of object B and both objects are moving at the same speed, object A would require twice the force to stop as Object B.</em>