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<h3><u>TOPIC: Kinetic Energy.</u></h3>
Explanation:
Data:
- Mass(m) = 2.1 kilograms
- Speed(v) = 30 m/s
- Kinetic Energy(Ek) = ?
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Use the kinetic energy formula:
Replace by the data:
We multiply speed squared:
Multiply in the numerator, without forgetting the units:
Both numerator and denominador operations are divided:
Answer: The kinetic energy is <u>945 Joules.</u>
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The tension in the swing's chain at the bottom of the swing is 178.35 N.
The given parameters:
- Mass of the girl, m = 27 kg
- Speed of the girl, v = 3 m/s
- Radius of the circle, r = 4 m
The tension in the swing's chain at the bottom of the swing is calculated as follows;

Thus, the tension in the swing's chain at the bottom of the swing is 178.35 N.
Learn more about tension in vertical circle here: brainly.com/question/19904705
Answer:
3.67 N
Explanation:
From the question given above, the following data were obtained:
Charge of 1st object (q₁) = +15.5 μC
Charge of 2nd object (q₂) = –7.25 μC
Distance apart (r) = 0.525 m
Force (F) =?
Next, we shall convert micro coulomb (μC) to coulomb (C). This can be obtained as follow:
For the 1st object
1 μC = 1×10¯⁶ C
Therefore,
15.5 μC = 15.5 × 1×10¯⁶
15.5 μC = 15.5×10¯⁶ C
For the 2nd object:
1 μC = 1×10¯⁶ C
Therefore,
–7.25 μC = –7.25 × 1×10¯⁶
–7.25 μC = –7.25×10¯⁶ C
Finally, we shall determine the force. This can be obtained as follow:
Charge of 1st object (q₁) = +15.5×10¯⁶ C
Charge of 2nd object (q₂) = –7.25×10¯⁶ C
Distance apart (r) = 0.525 m
Electrical constant (K) = 9×10⁹ Nm²/C²
Force (F) =?
F = Kq₁q₂ / r²
F = 9×10⁹ × 15.5×10¯⁶ × 7.25×10¯⁶ / 0.525²
F = 3.67 N
Therefore, the force on the object is 3.67 N
With a small magnet with a generator it will be taken up quickly because how small it is while with a big generator it would take more force for it for the generator to attach because the larger the magnet that heavier it will be because it is attached to the North Pole magnet
The speed of the car at the bottom of the hill is obtained as, 
According the principle of conservation of energy, the total potential energy of the car will be converted to maximum kinetic energy when the car is at the bottom of the hill.

where;
- <em>v </em><em>is the speed of the car at the bottom of the hill</em>
- <em>h </em><em>is the height of the hill</em>
- <em>g </em><em>is acceleration due to gravity</em>
Thus, the speed of the car at the bottom of the hill is obtained as, 
Learn more about conservation mechanical energy here: brainly.com/question/332163