What is an example of an impulse practice problem?

Answer 1
First of all, using the definitions #a = (dv)/(dt)# and #F = ma#, the definition of impulse is:
#I = intFdt = int madt = m int(dv)/cancel(dt)cancel(dt)#
#I = m intdv#
#I = mDeltav#
...whereas #p = mv#

In other words, an impulse is the sum of all the infinite instances of instantaneous force applied over a brief period of time, and it is what causes an object to change velocity as a result of an impact.

A nice example is right when a golf club hits a golf ball. Let's say there was a constant impulse for #0.05 s# on a golf ball started at rest. If the golf ball is #45 g# and its velocity after it leaves contact with the golf club is #50 m/s#, what was the impulse?
#I = mDeltav#
#I = (0.045 kg)(50 m/s - 0 m/s) = 2.25 kg*m/s#
The average force applied onto the golf ball in these #0.05# seconds would be what?
#F_(avg) = 1/Nsum_(i=1)^NF_i = (FDeltat)/(Deltat) = I/(Deltat) = (2.25 N*s) / (0.05 s) = 45 N#

I'll leave you with this one as well:

If the golf ball leaves the tee at a #45^o# from the horizontal, how long does it take for it to cross the spot that lines up horizontally with its initial position?
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Answer 2

Sure, here's an example: A 0.2 kg object experiences a force of 5 N for 2 seconds. Calculate the impulse exerted on the object.

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Answer from HIX Tutor

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.

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