Physics: You are a member of an alpine rescue team and must project a box of supplies, with mass m, up an incline of constant slope angle a so that it reaches a stranded skier who is a vertical distance h above the bottom of the incline. the incline is slippery, but there is some friction present, with kinetic friction coefficient µk. use the work-energy 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. express your answer in

You are a member of an alpine rescue team and must

valeriearras

08.01.2022

$v = \sqrt{2gh + \frac{2\mu_kgh}{tan\theta}}$

Explanation:

When we push the box from the bottom of the incline towards the top then by work energy theorem we can say that

Work done by all the forces = change in kinetic energy of the system

$- mgh - F_f (s) = 0 - \frac{1}{2}mv^2$

here we know that

$F_f = \mu_k mg cos\theta$

also we know that the length of the incline is given as

$s = \frac{h}{sin\theta}$

now we have

$- mgh - \mu_k mgcos\theta(\frac{h}{sin\theta}) = -\frac{1}{2}mv^2$

so we have

$v = \sqrt{2gh + \frac{2\mu_kgh}{tan\theta}}$

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vicky10445

24.08.2021

wIOP

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EET

Explanation:

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