# How does Newton's third law apply to a mousetrap?

The mouse applies some force to the pin when it tries to eat the food attached to it, causing the pin to apply an equal and opposite force, closing the trap's door and trapping the mouse.

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Newton's third law states that for every action, there is an equal and opposite reaction. In the case of a mousetrap, when the trap is triggered and the snapping bar is released, it exerts a force downward onto the mouse, resulting in the mouse being caught or killed. At the same time, according to Newton's third law, the mouse exerts an equal and opposite force upward onto the snapping bar. This reaction force from the mouse causes the snapping bar to move upward, thereby closing the trap and securing the mouse.

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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 box with an initial speed of #7 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #5/6 # and an incline of #pi /4 #. How far along the ramp will the box go?
- An object with a mass of #2 kg# is acted on by two forces. The first is #F_1= < 2 N , 5 N># and the second is #F_2 = < 1 N, -6 N>#. What is the object's rate and direction of acceleration?
- An object with a mass of #6 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 1+3cscx #. How much work would it take to move the object over #x in [(pi)/6, (pi)/4], where x is in meters?
- An object with a mass of #9 kg# is acted on by two forces. The first is #F_1= << -7 N , 1 N >># and the second is #F_2 = << 4 N, -3 N >>#. What is the objects rate and direction of acceleration?
- What is the force on a 1000 kg elevator that is falling freely at 9.8 m/sec2? And How do I draw a Free Body Diagram of this?

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