Challenge: Car Crash Simulator
In this challenge, you will simulate a car crash between two vehicles and analyze the results for both elastic and inelastic collision scenarios. By modeling the collision, you will calculate the final velocities of both cars and determine the amount of kinetic energy lost during the event. This activity builds on your understanding of motion, energy, and collisions, giving you a practical application of physics concepts using python.
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Your task is to write a function that simulates a head-on car crash between two vehicles and analyzes the results for both elastic and inelastic collision scenarios. Follow these detailed instructions to complete the simulation:
- Your function should be named
car_crash_simulatorand accept five parameters:m1(mass of car 1 in kg),v1(initial velocity of car 1 in m/s),m2(mass of car 2 in kg),v2(initial velocity of car 2 in m/s), andcollision_type(either'elastic'or'inelastic'). - For an elastic collision (when
collision_typeis'elastic'):- Use the following formulas to compute the final velocities of each car after the collision:
- Final velocity of car 1:
v1_final = ((m1 - m2) / (m1 + m2)) * v1 + ((2 * m2) / (m1 + m2)) * v2 - Final velocity of car 2:
v2_final = ((2 * m1) / (m1 + m2)) * v1 + ((m2 - m1) / (m1 + m2)) * v2
- Final velocity of car 1:
- Use the following formulas to compute the final velocities of each car after the collision:
- For an inelastic collision (when
collision_typeis'inelastic'):- Assume the cars stick together after the crash and move with a common final velocity:
- Common final velocity for both cars:
v_final = (m1 * v1 + m2 * v2) / (m1 + m2) - Set both
v1_finalandv2_finaltov_final.
- Common final velocity for both cars:
- Assume the cars stick together after the crash and move with a common final velocity:
- Calculate the total kinetic energy before the collision:
KE_initial = 0.5 * m1 * v1 ** 2 + 0.5 * m2 * v2 ** 2
- Calculate the total kinetic energy after the collision:
KE_final = 0.5 * m1 * v1_final ** 2 + 0.5 * m2 * v2_final ** 2
- Determine the energy lost during the collision:
energy_lost = KE_initial - KE_final
- Return a tuple containing three values in this order:
(v1_final, v2_final, energy_lost). - If an invalid
collision_typeis provided, raise aValueErrorwith an appropriate message.
Oplossing
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Challenge: Car Crash Simulator
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In this challenge, you will simulate a car crash between two vehicles and analyze the results for both elastic and inelastic collision scenarios. By modeling the collision, you will calculate the final velocities of both cars and determine the amount of kinetic energy lost during the event. This activity builds on your understanding of motion, energy, and collisions, giving you a practical application of physics concepts using python.
Swipe to start coding
Your task is to write a function that simulates a head-on car crash between two vehicles and analyzes the results for both elastic and inelastic collision scenarios. Follow these detailed instructions to complete the simulation:
- Your function should be named
car_crash_simulatorand accept five parameters:m1(mass of car 1 in kg),v1(initial velocity of car 1 in m/s),m2(mass of car 2 in kg),v2(initial velocity of car 2 in m/s), andcollision_type(either'elastic'or'inelastic'). - For an elastic collision (when
collision_typeis'elastic'):- Use the following formulas to compute the final velocities of each car after the collision:
- Final velocity of car 1:
v1_final = ((m1 - m2) / (m1 + m2)) * v1 + ((2 * m2) / (m1 + m2)) * v2 - Final velocity of car 2:
v2_final = ((2 * m1) / (m1 + m2)) * v1 + ((m2 - m1) / (m1 + m2)) * v2
- Final velocity of car 1:
- Use the following formulas to compute the final velocities of each car after the collision:
- For an inelastic collision (when
collision_typeis'inelastic'):- Assume the cars stick together after the crash and move with a common final velocity:
- Common final velocity for both cars:
v_final = (m1 * v1 + m2 * v2) / (m1 + m2) - Set both
v1_finalandv2_finaltov_final.
- Common final velocity for both cars:
- Assume the cars stick together after the crash and move with a common final velocity:
- Calculate the total kinetic energy before the collision:
KE_initial = 0.5 * m1 * v1 ** 2 + 0.5 * m2 * v2 ** 2
- Calculate the total kinetic energy after the collision:
KE_final = 0.5 * m1 * v1_final ** 2 + 0.5 * m2 * v2_final ** 2
- Determine the energy lost during the collision:
energy_lost = KE_initial - KE_final
- Return a tuple containing three values in this order:
(v1_final, v2_final, energy_lost). - If an invalid
collision_typeis provided, raise aValueErrorwith an appropriate message.
Oplossing
Bedankt voor je feedback!
single