Answer:
The final velocity of the car is 1.85 m/s
Explanation:
Hi there!
The initial kinetic energy of the toy car can be calculated as follows:
KE = 1/2 · m · v²
Where:
KE = kinetic energy.
m = mass.
v = velocity.
KE = 1/2 · 0.100 kg · (2.66 m/s)² = 0.354 J
The gain in altitude produces a gain in potential energy. This gain in potential energy is equal to the loss in kinetic energy. So let´s calculate the potential energy of the toy car after gaining an altitude of 0.186 m.
PE = m · g · h
Where:
PE = potential energy.
m = mass.
g = acceleration due to gravity.
h = height.
PE = 0.100 kg · 9.8 m/s² · 0.186 m = 0.182 J
The final kinetic energy will be: 0.354 J - 0.182 J = 0.172.
Using the equation of kinetic energy, we can obtain the velocity of the toy car after running up the slope:
KE = 1/2 · m · v²
0.172 J = 1/2 · 0.100 kg · v²
2 · 0.172 J / 0.100 kg = v²
v = 1.85 m/s
The final velocity of the car is 1.85 m/s
The mass of the Book is 2.27 kg.
We know that when you heat up calcium sulfate all the water has evaporated from it. That means that the mass of water that was initially in the sulfate is the difference in mass of the sulfate before and after the heating.
In order to <span>get a percentage by mass we simply divide this number by the initial amount of sulfate:
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