A 1000 kg car is moving at a constant speed of 7 m/s when it hits the back bumper of another car with 1200 kg of mass moving in the same direction at a constant speed of 6 m/s. As a result of the collision both bumpers get coupled. Show all work and calculations.
1. What is the combined mass of both cars?
2. What is the combined weight of both cars?
3. What is the total momentum of the system before and after the collision?
4. What is the speed of both cars after the collision?
5. What is the combined kinetic energy of both cars after the collision?
Aren't you able to do any of this yourself? Can you add the masses of the two cars?
Do you know how to compute weight from mass?
Use the definition of momentum for part 3.
Use conservation of momentum for part 4.
Use the definition of kinetic energy and the result of 4. for part 5.
Show your work if further help is needed.
Sorry, I can do part 1 and 2 relatively easily. However, I suck at physics and was honestly hoping to receive an answer like the one you gave me. I just wanted to know how to do it, not necessarily get the answer. Thanks
Ok Here are my answers, if you can give me any more help it would be greatly appreciated.
1. 1000+1200=2200
2. Fw = ma
1000*9.8 m/s^2 = 9800
1200*9.8 m/s^2 = 11760
Fw = 21,560
3. Momentum = mv
1000*7 + 1200*6
7000 + 7200
Momentum = 14,200 kg m/s
4. 14,200 / m1+m2
14,200 / 1000+1200
14,200 / 2200
speed after collision = 6.5
1. To find the combined mass of both cars, simply add the individual masses together. In this case, the mass of the first car is 1000 kg and the mass of the second car is 1200 kg.
Combined mass = Mass of first car + Mass of second car
Combined mass = 1000 kg + 1200 kg
Combined mass = 2200 kg
Therefore, the combined mass of both cars is 2200 kg.
2. The weight of an object is the force exerted on it due to gravity. The weight can be calculated using the formula:
Weight = Mass x Acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s^2.
Weight of the first car = Mass of the first car x Acceleration due to gravity
Weight of the first car = 1000 kg x 9.8 m/s^2
Weight of the first car = 9800 N
Weight of the second car = Mass of the second car x Acceleration due to gravity
Weight of the second car = 1200 kg x 9.8 m/s^2
Weight of the second car = 11760 N
To find the combined weight of both cars, simply add the individual weights together.
Combined weight = Weight of first car + Weight of second car
Combined weight = 9800 N + 11760 N
Combined weight = 21560 N
Therefore, the combined weight of both cars is 21560 N.
3. The momentum of an object is its mass multiplied by its velocity. Before the collision, the total momentum of the system can be calculated by adding the individual momenta of the cars.
Momentum = Mass x Velocity
Momentum of the first car = Mass of the first car x Velocity of the first car
Momentum of the first car = 1000 kg x 7 m/s
Momentum of the first car = 7000 kg m/s
Momentum of the second car = Mass of the second car x Velocity of the second car
Momentum of the second car = 1200 kg x 6 m/s
Momentum of the second car = 7200 kg m/s
Total momentum before the collision = Momentum of first car + Momentum of second car
Total momentum before the collision = 7000 kg m/s + 7200 kg m/s
Total momentum before the collision = 14200 kg m/s
After the collision, the two cars become coupled and move with a single velocity. Therefore, the total momentum of the system after the collision will be the same as the total momentum before the collision.
Total momentum after the collision = 14200 kg m/s
4. To find the speed of both cars after the collision, divide the total momentum by the combined mass.
Speed = Total momentum / Combined mass
Speed = 14200 kg m/s / 2200 kg
Speed ≈ 6.45 m/s
Therefore, the speed of both cars after the collision is approximately 6.45 m/s.
5. Kinetic energy is the energy an object possesses due to its motion. The kinetic energy can be calculated using the formula:
Kinetic Energy = 1/2 x Mass x Velocity^2
Kinetic energy of the first car = 1/2 x Mass of the first car x (Velocity of the first car)^2
Kinetic energy of the first car = 1/2 x 1000 kg x (7 m/s)^2
Kinetic energy of the first car = 24500 Joules
Kinetic energy of the second car = 1/2 x Mass of the second car x (Velocity of the second car)^2
Kinetic energy of the second car = 1/2 x 1200 kg x (6 m/s)^2
Kinetic energy of the second car = 21600 Joules
To find the combined kinetic energy of both cars after the collision, simply add the individual kinetic energies together.
Combined kinetic energy = Kinetic energy of first car + Kinetic energy of second car
Combined kinetic energy = 24500 Joules + 21600 Joules
Combined kinetic energy = 46100 Joules
Therefore, the combined kinetic energy of both cars after the collision is 46100 Joules.