# What is an example that demonstrates Newton's first law?

When you take a sharp turn in your car.

When a car is traveling straight ahead, the driver tends to stay in that direction; however, when the engine applies an unbalanced force that changes the direction of the car's motion, the driver slips to one side of the seat due to the inertia of his body. When a car makes a sharp turn at a high speed, the driver tends to be thrown to the other side due to directional inertia.

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An example of Newton's first law is a book resting on a table.

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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.

- A remote control car has a mass of #15.5kg# and is accelerating on the road. The car starts from rest and reaches a velocity of #11m/s[E]# in #19.5s#. What is the force applied by the car on the road? Neglect frictional forces.
- An object with a mass of #8 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= x+lnx #. How much work would it take to move the object over #x in [2, 6]#, where #x# is in meters?
- An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < -7 N , 4 N># and the second is #F_2 = < -3 N, -2 N>#. What is the object's rate and direction of acceleration?
- An object, previously at rest, slides #5 m# down a ramp, with an incline of #(pi)/6 #, and then slides horizontally on the floor for another #21 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
- If the length of a #23 cm# spring increases to #46 cm# when a #16 kg# weight is hanging from it, what is the spring's constant?

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