How does Newton's second law apply to a car crash?
The force of a crash increases when either the mass or the acceleration increases.
This implies that an increase in either of these two variables will result in an increase in the total force applied to the object in question. For example, if a car weighing 2000 kg accelerates to 60 mph, the net force generated during a collision will be higher than the net force generated when a car with the same mass and speed crashes at 30 mph.
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In a car crash, Newton's second law states that the force experienced by the occupants of the car is directly proportional to the rate of change of momentum, which is the product of mass and velocity. This means that the greater the mass of the car or the higher its velocity before the crash, the greater the force experienced by the occupants during the collision.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- An object, previously at rest, slides #8 m# down a ramp, with an incline of #pi/4 #, and then slides horizontally on the floor for another #5 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
- An object with a mass of #3 kg# is hanging from a spring with a constant of #8 (kg)/s^2#. If the spring is stretched by #4 m#, what is the net force on the object?
- A 300g ball at rest is struck with a bat with a force of 150N. If the bat was in contact with the ball, for 0.02 seconds, what is the ball's velocity?
- An object with a mass of #5 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= x+3 #. How much work would it take to move the object over #x in [2, 3], where x is in meters?
- If an object is moving at #100 m/s# over a surface with a kinetic friction coefficient of #u_k=5 /g#, how much time will it take for the object to stop moving?

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