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(II) A gondola can carry 20 skiers, with a total mass of up to 2250$\mathrm { kg }$ . The gondola ascends at a constant speed from the base of a mountain, at $2150 \mathrm { m } ,$ to the summit at 3345$\mathrm { m }$ . (a) How much work does the motor do in moving a full gondola up the mountain? (b) How much work does gravity do on the gondola? (c) If the motor is capable of generating 10$\%$ more work than found in $( a ) ,$ what is the acceleration of the gondola?

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$$0.95 \mathrm{m} / \mathrm{s}^{2}$$

Physics 101 Mechanics

Chapter 7

Work and Energy

Work

Kinetic Energy

Potential Energy

Energy Conservation

Cornell University

Rutgers, The State University of New Jersey

Hope College

McMaster University

Lectures

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

03:47

In physics, the kinetic energy of an object is the energy which it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body in decelerating from its current speed to a state of rest. The kinetic energy of a rotating object is the sum of the kinetic energies of the object's parts.

05:55

(II) A gondola can carry 2…

05:36

A gondola can carry 20 ski…

03:32

A 500 kg elevator accelera…

02:28

a skier reaches the bottom…

05:03

A $1000 \mathrm{kg}$ cleva…

04:36

A skier is pulled by a tow…

04:15

A 2100 kg elevator acceler…

03:11

01:32

Rope Tow A skier is pulled…

04:26

(II) $\mathrm{A} 75$ -kg s…

01:13

A skilift has a one-way …

00:56

A skier of mass 110 kg tra…

02:44

A skier of mass $70 \mathr…

07:39

A ski lift has a one-way l…

02:43

A skier of mass 70.0 $\mat…

04:23

(II) A 65-kg skier grips a…

go for party to find the work done by the motor. We can say that this is going to be equal to the force of the motor time's a Delta H. Times Co. Sign of zero degrees. This is going to be equal toe one and this will be cool. M g. Delta H. Given that the force of the motor is equal to the mass times, the gravity on this would be equal. He worked in the motor would be equal to the mass. 2250 kilograms times 9.8 meters per second. Squared times Delta H. This would be 3345 meters minus 2000 2000 150 meters and we're getting that. The work of the motor is equaling 2.63 times 10 to the seventh. Jules, now for party when it's asking for the work of gravity, work of gravity would simply be equal to the negative work of the motor, given that the motor is working against gravity. So this would be negative 2.63 times 10 to the seventh Jules, now here for part, see weaken open work for part C. We know that the motor can produce 10% more work. So then then gravity can. So we can say that motor can produce 10% more work. So now we must find the acceleration. So we can say that the net force is going to be equal to the force of the motor minus the force of gravity. So this would be equal to 1.1 mg 10% more minus mg. So this is equaling 100.1 and G Ah, the net force is also going to be equal to the mass times acceleration. And so we can cancel out the mass. And the acceleration is simply going to be equal to 0.1 G or we can say 0.98 meters per second squared. So this would be our final answer. Her part c That is the end of the solution. Thank you for watching

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