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Children in a tree house lift a small dog in a basket 3.85 $\mathrm{m}$ up to

their house. If it takes 201 $\mathrm{J}$ of work to do this, what is the combined mass of the dog and basket?

$M=5.32 \mathrm{kg}$

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Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

University of Washington

Hope College

Okay, So this problem states that Children in a treehouse lift a small dog in a basket 3.85 meters up to their house. Okay, so we are going from zero 23.85 meters. Okay, um, it takes 201 jewels of work to do this. And if it takes 201 jewels of work to do this, what is the combined mass of the dog in the basket? OK, so here we have this basket and then the look of that duck. Okay? And and we lift this up. Okay, so we know that the work. Okay, the work is going to be equal to 201 Jules. Okay. And the height all right, is going to be equal to 3.85 meters. We have that G is equal to 9.8 meters per second squared, and essentially we're solving for m. Okay, so we set this up like this. MGH is equal to w. Okay, so this is the ah work done against gravity to lift this dog in the basket. OK, so ah, we can solve for M by doing m equals w over GH All right, which is going to be 201 divided by three points A five times 9.8. Okay, It's gonna do that calculation here. So we have 201 divided by 3.85 divided by 9.8. Okay. And the answer is gonna be five 0.32 kilograms.