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Mathematics 15 Online
zarkam21:

?

zarkam21:

1 attachment
Vocaloid:

100 N to the left 175 N to the right what is the net force?

zarkam21:

A

Vocaloid:

zarkam21:

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Vocaloid:

so it only wants the x-direction so there are only two relevant forces - the pedalling force + the air resistance 400N pedalling to the right 300N resisting air force to the left what's the net?

zarkam21:

A

Vocaloid:

good

zarkam21:

1 attachment
zarkam21:

knowing that this would be C?

Vocaloid:

force of gravity = mg force of gravity - air resistance = ?

zarkam21:

B

Vocaloid:

good

zarkam21:

1 attachment
Vocaloid:

do you know how you would sketch the Free body diagram for this situation?

zarkam21:

it would definitely be a slope

Vocaloid:

have to be careful here - it doesn't say the sled is on a slope, the sled is not on an angle but the force is

Vocaloid:

|dw:1516946174954:dw|

zarkam21:

|dw:1516946128810:dw|

zarkam21:

oh okay so I'm wrong then here right

Vocaloid:

|dw:1516946216680:dw|

Vocaloid:

then the angled force (25 deg 30N)|dw:1516946255961:dw|

Vocaloid:

now, if you remember our decomposition formulas: horizontal force = force * cos(theta) vertical force = force * sin(theta)

Vocaloid:

|dw:1516946306953:dw|

Vocaloid:

in the y-direction we have: Fsin(theta) pointing up Fnormal pointing up Fg pointing down so Fsin(theta) + normal force - weight force = 0 (since no movement in the y-direction) you can plug F , theta, and gravity into the equation to solve for the normal force

Vocaloid:

F is the applied force (30N) theta is the angle (25 degrees) Fg = mg

zarkam21:

C

Vocaloid:

good

zarkam21:

1 attachment
zarkam21:

D?

Vocaloid:

similar formula (y-component --> vertical component --> Tension* sin(theta))

Vocaloid:

good, d

zarkam21:

1 attachment
zarkam21:

A?

Vocaloid:

the man is not moving in the y-direction so normal force and gravity cancel out normal force = gravity force = ?

Vocaloid:

good, A

zarkam21:

1 attachment
zarkam21:

Have no idea on this one

Vocaloid:

|dw:1516947766517:dw| N = mgcos(theta), choice C (to derive this you have to use a bit of trigonometry, can explain some other time)

zarkam21:

1 attachment
Vocaloid:

|dw:1516947950055:dw|

zarkam21:

C?

Vocaloid:

good

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