here we can use energy conservation
like initial kinetic + potential energy is always conserved and it will be same at all points
so we can say
now we can plug in all the given values in it
now divide whole equation by mass "m"
so final speed will be 65.96 m/s
Answer:
Explanation:
Gravitational potential energy is the energy an object possesses due to its position. It is calculated using the following formula:
Where <em>m</em> is the mass, <em>g</em> is the acceleration due to gravity, and <em>h</em> is the height.
The object has a mass of 8.72 kilograms. Assuming this occurs on Earth, the acceleration due to gravity is 9.8 meters per second squared. The object gains 446 Joules of potential energy.
Let's convert the units of Joules. This makes the process of canceling units simpler later on. 1 Joule is equal to 1 kilogram meter squared per second squared. The object gains 446 J, which is equal to 446 kg *m²/s².
- EP= 446 kg*m²/s²
- m= 8.72 kg
- g= 9.8 m/s²
Substitute the values into the formula.
Multiply on the right side of the equation.
We are solving for the height, so we must isolate the variable h. It is being multiplied by 85.456 kg*m/s². The inverse operation of multiplication is division, so we divide both sides by this value.
The units of kg*m/s² cancel, leaving meters as our unit.
The original measurements of mass and potential energy have 3 significant figures, so our answer must have the same.
For the number we calculated, that is the hundredths place. The 9 in the thousandths place to the right tells us to round the 1 up to a 2.
The object was lifted to a height of approximately <u>5.22 meters.</u>
The rate of fuel burning in grams per hour if the DT reaction is used is 1.08 × J/g per hour
<h3>How is the rate of fuel burning in grams per hour calculated when the D-T reaction is used?</h3>
- D + T → He + n
- The D-T fusion reaction results in a Helium (He) and neutron (n)
E = 17.59 MeV
Mass = 2.014u + 3.016u
= 5.030u
Energy per Kg = (17.59××1.6×) ÷ ( 5.030×1.66×)
= 3.37× J/Kg
= 3.0× J/g
Rate of fuel burning in grams per hour = 3.0× × 3600
= 3.6×3.0×
= 1.08 × J/g per hour
To learn more about fusion reactor and energy production, refer
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