The maximum displacement angle of the bob is 13⁰.
The given parameters;
- <em>Length of the pendulum, L = 1.25 m</em>
- <em>Initial velocity of the bob, v = 0.8 m/s</em>
The maximum displacement of the bob is calculated by applying the principle of conservation of energy;

The maximum displacement angle is calculated as follows;

Thus, the maximum displacement angle of the bob is 13⁰.
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Since nuclear fusion in the sun creates energy from matter, Einstein's formula E=mc² states that matter and energy are equal.
To find the answer, we have to know more about the nuclear fusion.
<h3>What is
nuclear fusion?</h3>
- We are aware that the sun can achieve nuclear fusion by the fusion of hydrogen atoms.
- These atoms need to get closer to one another in order to fuse.
- Since both protons inside each nucleus are positively charged, they attempt to repel one another as they get closer to one another.
- If this issue cannot be solved, nuclear fusion in the sun cannot occur.
Thus, we can conclude that, since nuclear fusion in the sun creates energy from matter, Einstein's formula E=mc² states that matter and energy are equal.
Learn more about nuclear fusion here:
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Answer:
0.64 J/g°C
Explanation:
Using the formula;
Q = m × c × ∆T
Where;
Q = amount of heat
m = mass (g)
c = specific heat capacity
∆T = change in temperature (°C)
In this case:
Q (water) = - Q (metal)
mc∆T (water) = - mc∆T (metal)
According to the information in this question,
For water; m = 100g, c = 4.18J/g°C, ∆T = (25°C - 20°C)
For metal; m = 50g, c =?, ∆T = (25°C - 90°C)
mc∆T (water) = - mc∆T (metal)
100 × 4.18 × (25°C - 20°C) = - {50 × c × (25°C - 90°C)}
100 × 4.18 × 5 = - {50 × c × -65}
2090 = -{-3250c}
2090 = 3250c
c = 2090/3250
c = 0.643
c = 0.64J/g°C