Question

This homework will be due when you come to lab. Two students are pushing identical crates across a frictionless floor. The crates are initially at rest. Bing applies a horizontal force of 23 N to his crate. Bob, who is shorter than Bing, pushes on his crate at an angle of 33° below the horizontal, also with a force of 23 N. Find the ratio of the masses of the two crates if Bing’s crate is moving at twice the speed of Bob’s crate after they have traveled a distance of 33.5 m

Answer 1

0.459

Step-by-step explanation:

Energy

1.
`E = (1)/(2) mv^(2)`

2.
`E = Fx`

Combining 1 and 2:

3.
`m = (2Fx)/(v^(2) )`

Using 3 to form the ratio:

`(m_1)/(m_2) = (F_1)/(F_2) (v_2^(2) )/(v_1^(2) )`

Given in the question:

`v_1 = 2v_2`

`F_2 = F_1 sin(33)`

Result:

`(m_1)/(m_2) = (1)/(4sin(33))`