21. Korra is trying to save her dear friend Bolin from sliding down the side of a mountain and into the abyss. Bolin is unconscious in a cart, sliding down the side of a mountain toward the edge. The angle of the slope on the mountain is 39 degrees above the horizontal. Korra is too far away to do anything but airbend a gust of wind to push on Bolin's cart to slow him down (If you haven't seen this show, simply treat this as Korra pushing the cart up the slope of the mountain parallel to the inclined surface Bolin is sliding on). The cart has a mass of 40kg, and Bolin has a mass of 60kg. The coefficient of friction between the cart and the mountain is 0.33. The cart has 19m before it reaches the edge of the cliff, and has 14,450 J of kinetic energy at the top of the hill. Using a gravity value of 10 m/s^2, how much force does Korra need to push on Bolin's cart to get it to stop before falling off the cliff?

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21. Korra is trying to save her dear friend Bolin from sliding down the side of a mountain and into the abyss. Bolin is unconscious in a cart, sliding down the side of a
mountain toward the edge. The angle of the slope on the mountain is 39 degrees above the horizontal. Korra is too far away to do anything but airbend a gust of wind
to push on Bolin's cart to slow him down (If you haven't seen this show, simply treat this as Korra pushing the cart up the slope of the mountain parallel to the inclined
surface Bolin is sliding on). The cart has a mass of 40kg, and Bolin has a mass of 60kg. The coefficient of friction between the cart and the mountain is 0.33. The cart
has 19m before it reaches the edge of the cliff, and has 14,450 J of kinetic energy at the top of the hill. Using a gravity value of 10 m/s^2, how much force does Korra
need to push on Bolin's cart to get it to stop before falling off the cliff?
Transcribed Image Text:21. Korra is trying to save her dear friend Bolin from sliding down the side of a mountain and into the abyss. Bolin is unconscious in a cart, sliding down the side of a mountain toward the edge. The angle of the slope on the mountain is 39 degrees above the horizontal. Korra is too far away to do anything but airbend a gust of wind to push on Bolin's cart to slow him down (If you haven't seen this show, simply treat this as Korra pushing the cart up the slope of the mountain parallel to the inclined surface Bolin is sliding on). The cart has a mass of 40kg, and Bolin has a mass of 60kg. The coefficient of friction between the cart and the mountain is 0.33. The cart has 19m before it reaches the edge of the cliff, and has 14,450 J of kinetic energy at the top of the hill. Using a gravity value of 10 m/s^2, how much force does Korra need to push on Bolin's cart to get it to stop before falling off the cliff?
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