Answer:
- milk: 10 carbs
- snack bar: 14 carbs
Step-by-step explanation:
Let m and s represent the carbs in the milk and snack bar, respectively. The given relations are ...
4m +3s = 82
2m +4s = 76
Subtracting the first equation from twice the second gives ...
2(2m +4s) -(4m +3s) = 2(76) -(82)
5s = 70 . . . . . . . simplify
s = 14 . . . . . . . divide by 5
We substitute this into the second equation to find m.
2m +4(14) = 76
m +28 = 38 . . . . divide by 2
m = 10 . . . . . . subtract 28
There are 10 carbs in a glass of milk; 14 carbs in a snack bar.
Answer:
54.8 Nm
Step-by-step explanation:
Torque is the cross product of the radius vector and force vector:
τ = r × F
Another way to write it is the product of the radius and force magnitudes times the sine of the angle between the vectors.
τ = rF sin θ
Here, r = 0.366 meters and F = 155 Newtons. F is in the +y direction, and r is 15° below the +x axis, so the angle between the vectors is 90° − 15° = 75°.
τ = (0.366 m) (155 N) (sin 75°)
τ = 54.8 Nm
X axis: keep x value, change the sign of the y value
Y axis: keep y value, change the sign of the x value
