The absolute uncertainty in the volume of the cube is 0.06 m³.
We need to know about the uncertainty of measurement to solve this problem. The uncertainty of cube volume can be determined by
V = s³
|ΔV| = dV/ds x Δs
where V is volume, s is length, ΔV is uncertainty in the volume and Δs is the uncertainty of length.
From the question above, we know that
s = 1.00 m
Δs = 2% of s = 2/100 x 1 = 0.02 m
By using the uncertainty of volume formula, we get
|ΔV| = dV/ds x Δs
|ΔV| = d(s³)/ds x Δs
|ΔV| = 3s² x Δs
|ΔV| = 3. 1² x 0.02
|ΔV| = 0.06 m³
Hence, the uncertainty in the volume is 0.06 m³.
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The relationship between the charge flowing through a conductor, the current flowing through the conductor and the time is:
Q = It
Where Q is the charge, I is the current and t is the time of application of the current. Substituting the values:
48.96 = 1.39 x t
t = 35.2 seconds
A uniform metal rod with of length 80cm and a mass of 3.2kg is supported horizontally by two vertical spring balances C and D. Balance C is 20cm from one end while D is 30cm from the other end would show the reading of 1.06 Kg and 2.13 kg respectively
<h3>What is gravity?</h3>
It can be defined as the force by which a body attracts another body towards its center as the result of the gravitational pull of one body and another, The gravity varies according to the mass and size of the body for example the force of gravity on the moon is the 1/6th times of the force of gravity on the earth.
As given in the problem, A uniform metal rod of the length of 80cm and mass of 3.2kg is supported horizontally by two vertical springs balance C and D. Balance C is 20cm from one end while D is 30cm from the other end
The weight of the rod acting downward is from the center of the rod at 40 cm
Let us suppose the reading on the spring balance C and D are P and Q respectively
By using the equilibrium for the vertical force
Fv=0
P + C = 3.2
By using the equilibrium for the moment around the left corner
20×P+ 50×Q= 40 ×3.2
By solving for both P and Q from the above two equations we would get
P =1.06 and Q = 2.13
Thus, the reading on the spring balance C and D would be 1.06 Kg and 2.13 kg respectively
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