Answer:
0.975 m
Explanation:
The center of mass y = ∑m₁y₁/∑m₁ where m₁ = the individual masses and y₁ = the y - coordinates of the individual masses
So,
y = (2.02 kg × 3.03 m + 2.92 kg × 2.43 m + 2.53 kg × 0 m + 4.02 kg × -0.501 m)/(2.02 kg + 2.92 kg + 2.53 kg + 4.02 kg)
y = (6.1206 kgm + 7.0956 kgm + 0 kgm - 2.01402 kgm)/11.49 kg
y = 11.20218 kgm/11.49 kg
y = 0.975 m
So, the y- component of the center of mass of these objects is 0.975 m
Using the equation;
TE = 1/2mv^2(1+2); where k = 2/5 for a solid sphere; V is the velocity, and m is the mass.
Total energy = 0.5 × 21 × 8² (7/5)
= 940.8 J
The rotational kinetic energy of the sphere is 940.8 J
The electric potential energy of the charge is reduced because it decreases with increase in the distance between charges.
<h3>What is electric potential energy?</h3>
Electric potential energy can be defined as the energy needed to move a charge against an electric field.
It is calculated using the formula;
U = Kq1 q2 ÷ r
Where Q = electric potential energy
k = Coulombs constant
q1 and q2 = charges
r = distance of separation
Electric potential energy is inversely proportional to the distance of separation of the charges.
If the distance of the charges changes from 3mm to 6mm, then the electric potential energy of the charges is reduced because it decreases with increase in the distance of the charges.
Therefore, the electric potential energy of the charge is reduced because it decreases with increase in the distance between charges.
Learn more about electric potential energy here:
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From the options provided in the question, the measurement which is not an SI base unit is volume.
<h3>What is SI base unit?</h3>
This is referred to as the standard and fundamental unit of measurement of various quantities or variables which is defined arbitrarily and not by combinations of other units.
Volume is a quantity which is derived from the combination of lengths in a three-dimensional manner which is why the formula is length× breadth×height and the unit is cm³. This is gotten from the combination of the unit of length which is cm.
This is therefore the reason why volume was chosen as the most appropriate choice.
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The force between two system is inversely proportional to the square the distance between them. The indirect proportion between these items may be expressed as,
F = k / d²
where k is the constant proportionality. Substituting the known values,
0.68 N = k / (1 m)² ; k = 0.68
For the second case,
F = 0.68 / (0.5 m)² = 2.72 N
Thus, the answer is 2.72 N.
