You are a member of an alpine rescue team and must get a box of supplies, with mass 3.00 kg , up an incline of constant slope angle 30.0° so that it reaches a stranded skier who is a vertical distance 2.90 m above the bottom of the incline. There is some friction present; the kinetic coefficient of friction is 6.00x10-2. Since you can't walk up the incline, you give the box a push that gives it an initial velocity; then the box slides up the incline, slowing down under the forces of friction and gravity. Take acceleration due to gravity to be 9.81 m/s?. Use the work-eneray theorem to calculate the minimum speed v that you must give the box at the bottom of the incline so that it will reach the skier.

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You are a member of an alpine rescue team and must get a
box of supplies, with mass 3.00 kg , up an incline of constant
slope angle 30.0° so that it reaches a stranded skier who is
a vertical distance 2.90 m above the bottom of the incline.
There is some friction present; the kinetic coefficient of friction
is 6.00x10-2. Since you can't walk up the incline, you give the
box a push that gives it an initial velocity; then the box slides
up the incline, slowing down under the forces of friction and
gravity. Take acceleration due to gravity to be 9.81 m/s?.
Use the work-eneray theorem to calculate the minimum speed v that you must
give the box at the bottom of the incline so that it will reach the skier.
Transcribed Image Text:You are a member of an alpine rescue team and must get a box of supplies, with mass 3.00 kg , up an incline of constant slope angle 30.0° so that it reaches a stranded skier who is a vertical distance 2.90 m above the bottom of the incline. There is some friction present; the kinetic coefficient of friction is 6.00x10-2. Since you can't walk up the incline, you give the box a push that gives it an initial velocity; then the box slides up the incline, slowing down under the forces of friction and gravity. Take acceleration due to gravity to be 9.81 m/s?. Use the work-eneray theorem to calculate the minimum speed v that you must give the box at the bottom of the incline so that it will reach the skier.
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