Question

2021-08-04

Let x be Hypotenuse’s weight so that Paulie weighs 3x. Let y be the weight of the empty wagon.

The puppy on the wagon weighs 40 pounds so:

\(\displaystyle{x}+{y}={40}{\left({1}\right)}\)

Pauli and the puppy on the wagon weighs 64 pounds so:

\(\displaystyle{3}{x}+{x}+{y}={64}\)

\(\displaystyle{4}{x}+{y}={64}{\left({2}\right)}\)

Solve for yy, the weight of the empty wagon. Using (1), solve for xx in terms of yy to obtain (3):

\(\displaystyle{x}={40}−{y}{\left({3}\right)}\)

Substitute (3) to (2) and solve for yy:

\(\displaystyle{4}{\left({40}−{y}\right)}+{y}={64}\)

\(\displaystyle{160}−{4}{y}+{y}={64}\)

\(\displaystyle{160}−{3}{y}={64}\)

\(\displaystyle−{3}{y}=−{96}\)

\(\displaystyle{y}={32}\)

So, the empty wagon weighs 32 pounds.

asked 2021-02-25

Paulie Gone has a shiny red wagon. When he puts his puppy, Hypotenuse, in the wagon, the wagon weighs in at 40 pounds. When Paulie rides the wagon by himself, the wagon weighs in at 64 pounds. Paulie weighs 3 times as much as Hypotenuse, how much does the empty wagon weigh?

asked 2021-04-25

A wagon with two boxes of Gold, having total mass 300 kg, is cutloose from the hoses by an outlaw when the wagon is at rest 50m upa 6.0 degree slope. The outlaw plans to have the wagon roll downthe slope and across the level ground, and then fall into thecanyon where his confederates wait. But in a tree 40m from thecanyon edge wait the Lone Ranger (mass 75.0kg) and Tonto (mass60.0kg). They drop vertically into the wagon as it passes beneaththem. a) if they require 5.0 s to grab the gold and jump out, willthey make it before the wagon goes over the edge? b) When the twoheroes drop into the wagon, is the kinetic energy of the system ofthe heroes plus the wagon conserved? If not, does it increase ordecrease and by how much?

asked 2021-03-17

The person weighs 170 lb. Each crutch makes an angle of 22.0 with the vertical. Half of the person's weight is supported by the cruches, the other half by the vertical forces exerted by the roundon his feet. Assuming that he is at rest and that the force exerted by the ground on the crutches acts along the crutches,determine

a) the smallest possible coefficient of friction between crutches and ground and

b) the magnitude of the compression force supported by each crutch.

a) the smallest possible coefficient of friction between crutches and ground and

b) the magnitude of the compression force supported by each crutch.

asked 2021-05-14

Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. An elevator at a construction site has a maximum capacity of 2800 pounds. If the elevator operator weighs 265 pounds and each cement bag weighs 65 pounds, how many bags of cement can be safely lifted on the elevator in one trip?