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+y Niece on Backpack (60N) LATE FN Niece on on Backpack,y (20.5N) 1 Ꮎ Dach → +x Fri Niece on Backpack, (56.4N) To find the FNuece on Backpacky component, begin with the definition of the sine function: sin = opposite hypotenuse where the side opposite is niece on Backpacky and the hypotenuse is the magnitude Fiere on Backpack (notice that there are no vector signs over these labels because we are referring to its magnitude only). To find the FNiere on Backpack.y component, begin with the definition of the sine function: sin = opposite hypotonunc where the side opposite is FNsee on Backysuck, and the hypotenuse is the magnitude Fiece on Backpack (notice that there are no vector signs over these labels because we are referring to its magnitude only). sin 0 = Fun Hotely Fuar Hostert Let's rearrange the above equation and solve for FNicce on Backpacks Fiece em Backpack.y = (FNice on Backpack) (sin o) = (60N) sin(20) Therefore, Fiece em Backpacky = 20.5N FNiece on Backpack.y is positive because it points in the same direction as the +y direction defined in the figure above. To find the Fiece on Backpack. component, begin with the definition of the definition of the cosine function: cos adjacent hypotenune where the side adjacent 0 is Fiece on Blockquock, and the hypotenuse is the magnitude Fece ont Backpack cos = Fyw Let's rearrange the above equation and solve for Firce on Backpack, Fiece on Backpacks = (FNice on Backpack) (cos 6) = (601) cos(20") Therefore, Fun Binequick = -56.4N i negative because it points in the direction opposite the +r direction defined in the figure above
+y Niece on Backpack (60N) LATE FN Niece on on Backpack,y (20.5N) 1 Ꮎ Dach → +x Fri Niece on Backpack, (56.4N) To find the FNuece on Backpacky component, begin with the definition of the sine function: sin = opposite hypotenuse where the side opposite is niece on Backpacky and the hypotenuse is the magnitude Fiere on Backpack (notice that there are no vector signs over these labels because we are referring to its magnitude only). To find the FNiere on Backpack.y component, begin with the definition of the sine function: sin = opposite hypotonunc where the side opposite is FNsee on Backysuck, and the hypotenuse is the magnitude Fiece on Backpack (notice that there are no vector signs over these labels because we are referring to its magnitude only). sin 0 = Fun Hotely Fuar Hostert Let's rearrange the above equation and solve for FNicce on Backpacks Fiece em Backpack.y = (FNice on Backpack) (sin o) = (60N) sin(20) Therefore, Fiece em Backpacky = 20.5N FNiece on Backpack.y is positive because it points in the same direction as the +y direction defined in the figure above. To find the Fiece on Backpack. component, begin with the definition of the definition of the cosine function: cos adjacent hypotenune where the side adjacent 0 is Fiece on Blockquock, and the hypotenuse is the magnitude Fece ont Backpack cos = Fyw Let's rearrange the above equation and solve for Firce on Backpack, Fiece on Backpacks = (FNice on Backpack) (cos 6) = (601) cos(20") Therefore, Fun Binequick = -56.4N i negative because it points in the direction opposite the +r direction defined in the figure above
Carrying a backpack and lunchbox with your niece in an elevator that's accelerating upwards. You and your niece are in an elevator going from the ground floor to the 10th floor. Your niece insists that she wants to "help" you carry her backpack and lunch box by pulling on the handle with you. As the elevator accelerates upwards, you're trying to figure out our Big Question: Is your niece actually helping you to hold the backpack? ats The physical arrangement of you, your niece and your backpack-and-lunchbox load is shown below: +y +x АТЕ TE n OO You confirm the following information: • Your niece's force on the backpack is 60 N at an angle of 0 = 20°. • You and your niece hold the backpack with arms at fixed, unchanging angles (ie. O and a do not change). • The backpack has a mass of 5.5kg and the lunch box has a mass of 2.5kg. • The elevator has an upward acceleration of a elevator the downward direction. 1.5... For simplicity, please use g = 10 in +y Niece on Backpack (60N) DLATE F Niece on on Backpack,y (20.5N) Ꮎ Dach >+x F Niece on Backpack, (56 AN