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
