What dose it mean to say that mass is conserved during a physical change
2 answers:
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Answer:
The correct solution is "1.2 m".
Explanation:
The given values are:
Wavelength of waves,
λ = 1.5 m
Speed of waves on surface,
V = 2 m/sec
Speed of waves in water,
V₁ = 1.6 m/sec
As we know,
⇒
or,
⇒
On substituting the values, we get
⇒
⇒
hence,
⇒
On substituting the values, we get
⇒
⇒
I₃ = 0.17 A into the junction.
The key to solve this problem is using Kirchhoff's Current Law which statements that the algebraic sum of the currents that enter and leave a particular junction must be 0 (I₁+I₂+...+In = 0). Be careful, the currents that leaves a point is considered positive current, and the one that enters a point is considered negative.
In other words, the sum of the currents that enter to the joint is equal to the sum of the currents that come out of the joint.
Three wire meet at junction. Wire 1 has a current of 0.40 A into the junction, the current of the wire 2 is 0.57 A out of the junction. What is the magnitude of the current in wire 3?
To calculate the current in the wire 3:
First, let's name the currents in the circuit. So:
The current in the wire 1 is I₁ = 0.40 A, the current in the wire 2 is I₂ = 0.57 A, and the current of wire 3 is I₃ = ?.
Second, we make a scheme of the circuit, with the current I₁ of wire 1 into the junction, the current I₂ of wire 2 out of the junction, and let's suppose that the current I₃ of the wire 3 into the junction. (See the image attached)
Using Kirchhoff's Current Law, the sum of the currents I₁ and I₃ into the junction is equal to the current I₂ out of junction.
I₁ + I₃ = I₂
0.40 A + I₃ = 0.57 A
I₃ = 0.57 A - 0.40A
I₃ = 0.17 A
Checking the Kirchhoff's Current Law, the sum of all currents is equal to 0 :
I₁ + I₃ = I₂
I₁ - I₂ + I₃ = 0
0.40 A - 0.57 A + 0.17 A = 0
Let's suppose that the current I₃ of the wire 3 out the junction.
I₁ = I₂ + I₃
0.40 A = 0.57 A + I₃
I₃ = 0.40 A - 0.57 A
I₃ = -0.17 A which means that the current flow in the opposite direction that we selected.
Answer:
0.495 m/s
Explanation:
= tension force in the string connecting the two objects
= Mass of the object on inclined plane = 250 g = 0.250 kg
= Mass of the hanging object = 150 g = 0.150 kg
= acceleration of each object
From the force diagram, force equation for the motion of the object on the inclined plane is given as
From the force diagram, force equation for the motion of the hanging object on the inclined plane is given as
Using the above two equations
= height dropped by the hanging object = 10 cm = 0.10 m
= Speed gained by the object
Speed gained by the object can be given as
