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- Thread starter nonthesecond
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- #2

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Conservation of momentum for the total system states that the momentum before and after must be equal as there are no external forces acting upon the system.

So before he steps off as I'm assuming the boat is at rest, the total momentum of the system will be 0.

So after the man steps off the boat his momentum will be equal and opposite to that of the boat as the 2 momentums will cancel out to be zero.

- #3

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Conservation of momentum for the total system states that the momentum before and after must be equal as there are no external forces acting upon the system.

So before he steps off as I'm assuming the boat is at rest, the total momentum of the system will be 0.

So after the man steps off the boat his momentum will be equal and opposite to that of the boat as the 2 momentums will cancel out to be zero.

thanks which formulae do i use?

m = mass x v

or

mom before = mom after

?

- #4

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- #5

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is this correct?

80 x 3 = 240

80/240 = 0.3 (which is the velocity) so it's 0.3m/s^2

- #6

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please help

- #7

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is this correct?

80 x 3 = 240

80/240 = 0.3 (which is the velocity) so it's 0.3m/s^2

Sorry I made a mistake rearranging the formula for velocity.

It should be

Your calculation for the momentum is correct and you should get the right answer if you use the right formula for the velocity.

- #8

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Sorry I made a mistake rearranging the formula for velocity.

It should bev=p/m

Your calculation for the momentum is correct and you should get the right answer if you use the right formula for the velocity.

how can it be 3m/s^2 because that ids already given in the question.

i think i remeber my teacher saying that it's: 80 + 35= 115

115 x 3 = 375

375/35 = 1.3...m/s

is that correct?

- #9

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how can it be 3m/s^2 because that ids already given in the question.

i think i remeber my teacher saying that it's:80 + 35= 115

115 x 3 = 375

375/35 = 1.3...m/s

is that correct?

Thats how you would calculate the initial momentum for the system as the 2 masses are together and have the same velocity.

Initial momentum for the system = m * v = (80 + 35) * 0

Then you need to treat the 2 masses separate for the after stage as the 2 masses are not together anymore and will be moving in opposite directions (Newtons 3rd Law)

- #10

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Thats how you would calculate the initial momentum for the system as the 2 masses are together and have the same velocity.

Initial momentum for the system = m * v = (80 + 35) * 0

Then you need to treat the 2 masses separate for the after stage as the 2 masses are not together anymore and will be moving in opposite directions (Newtons 3rd Law)

ok thanks so what would i have to do to find how fast the boat moved in the opposite direction?

- #11

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ok thanks so what would i have to do to find how fast the boat moved in the opposite direction?

Work out the momentum for Mr Green.

p = m * v

Then use this value as the momentum for the boat (You can ignore the fact it should be opposite as we are only working out speed not velocity) Rearrange the momentum formula to work out velocity (or speed in this case).

p = m * v

v = p / m

- #12

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Work out the momentum for Mr Green.

p = m * v

Then use this value as the momentum for the boat (You can ignore the fact it should be opposite as we are only working out speed not velocity) Rearrange the momentum formula to work out velocity (or speed in this case).

p = m * v

v = p / m

3 m/s is it squared but how can that be the answer when it's already written in the question?

- #13

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3 m/s is it squared but how can that be the answer when it's already written in the question?

For the second step you need to use the mass of the boat.

- #14

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For the second step you need to use the mass of the boat.

so it's 240/35 ? = 6.9m/s is that the final answer and it's not squared?

- #15

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For the second step you need to use the mass of the boat.

did i get the question right?

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