You say 42m/s times (7s) the answer is 294m/s2 squares cause you times not sure but I am just a nice er at this sry if it’s wrong :)
Answer:
The speed of the vehicles immediately after the collision is 5.84 m/s.
Explanation:
The speed of the vehicles after the collision can be found by conservation of linear momentum:
![p_{i} = p_{f}](https://tex.z-dn.net/?f=%20p_%7Bi%7D%20%3D%20p_%7Bf%7D%20)
![m_{1}v_{1_{i}} + m_{2}v_{2_{i}} = m_{1}v_{1_{f}} + m_{2}v_{2_{f}}](https://tex.z-dn.net/?f=%20m_%7B1%7Dv_%7B1_%7Bi%7D%7D%20%2B%20m_%7B2%7Dv_%7B2_%7Bi%7D%7D%20%3D%20m_%7B1%7Dv_%7B1_%7Bf%7D%7D%20%2B%20m_%7B2%7Dv_%7B2_%7Bf%7D%7D%20)
Where:
m₁: is the mass of the car = 0.5 ton = 500 kg
m₂: is the mass of the lorry = 9.5 ton = 9500 kg
: is the initial speed of the car = 40 km/h = 11.11 m/s
: is the initial speed of the lorry = 20 km/h = 5.56 m/s
: is the final speed of the car =?
: is the final speed of the lorry =?
Since the two vehicles become tightly locked together after the collision
=
:
![m_{1}v_{1_{i}} + m_{2}v_{2_{i}} = v(m_{1} + m_{2})](https://tex.z-dn.net/?f=%20m_%7B1%7Dv_%7B1_%7Bi%7D%7D%20%2B%20m_%7B2%7Dv_%7B2_%7Bi%7D%7D%20%3D%20v%28m_%7B1%7D%20%2B%20m_%7B2%7D%29%20)
![v = \frac{m_{1}v_{1_{i}} + m_{2}v_{2_{i}}}{m_{1} + m_{2}} = \frac{500 kg*11.11 m/s + 9500 kg*5.56 m/s}{500 kg + 9500 kg} = 5.84 m/s](https://tex.z-dn.net/?f=%20v%20%3D%20%5Cfrac%7Bm_%7B1%7Dv_%7B1_%7Bi%7D%7D%20%2B%20m_%7B2%7Dv_%7B2_%7Bi%7D%7D%7D%7Bm_%7B1%7D%20%2B%20m_%7B2%7D%7D%20%3D%20%5Cfrac%7B500%20kg%2A11.11%20m%2Fs%20%2B%209500%20kg%2A5.56%20m%2Fs%7D%7B500%20kg%20%2B%209500%20kg%7D%20%3D%205.84%20m%2Fs%20)
Therefore, the speed of the vehicles immediately after the collision is 5.84 m/s.
I hope it helps you!
The theory of uniform accelerated motion states that the movement of an element is constant in the same acceleration conditions.
<h3>What is the theory of uniform accelerated motion?</h3>
The theory of uniform accelerated motion is a scientific statement regarding the acceleration of an object in steady conditions.
This theory (uniform accelerated motion) is fundamentally applied in physic and astrophysics.
In conclusion, the theory of uniform accelerated motion states that the movement of an element is constant in the same acceleration conditions.
Learn more about uniform accelerated motion here:
brainly.com/question/10178440
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Answer: find the answer in the explanation.
Explanation:
Before the truck driver sees a dog running into the road, The mechanical energy state of the truck will be kinetic energy at maximum.
Immediately he applied the brakes, the mechanical energy of the truck will be combination of kinetic energy and potential energy.
The kinetic energy will gradually decrease as potential energy continue to increase till it reaches maximum potential energy.
The truck will come to a stop at maximum potential energy