At your favorite amusement part you watch a live action stunt where a stuntman o

Question

At your favorite amusement part you watch a live action stunt where a stuntman of mass m, is sliding on skis (coefficient of kinetic friction: uk) towards a brick wall at a speed v. His jetpack provides a horizontal thrust Fth, and wind of force Fw, is blowing against him at an angle theta from the horizontal. He slides perfectly to rest right at the wall a distance d from his current location

a.) Symbolically apply the work energy theorem to the stuntman sliding to rest in terms of the variables given in the problem and the acceleration of gravity g.

At your favorite amusement part you watch a live action stunt where a stuntman of mass m, is sliding on skis (coefficient of kinetic friction: uk) towards a brick wall at a speed v. His jetpack provides a horizontal thrust Fth, and wind of force Fw, is blowing against him at an angle theta from the horizontal. He slides perfectly to rest right at the wall a distance d from his current location Symbolically apply the work energy theorem to the stuntman sliding to rest in terms of the variables given in the problem and the acceleration of gravity g.

Explanation / Answer

Law of conservation of energy

Net kinetic energy = net work done by all forces during its motion of the given distance

(m*v^2)/2 = (Fth-(Fw*cos(theta))-(uk*m*g+(Fw*sin(theta)))*d

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