I solved (a) but i need help with (b) We set the x and y axes parallel only full part (b). A crate of mass m = 9.7 kg is pulled up a rough incline with an initial speed of v₁ = 1.43 m/s. The pulling force is F = 111 N parallel to the incline, which makes an angle of = 19.5° with the horizontal. Thecoefficient of kinetic friction is 0.400, and the crate is pulled d = 5.11 m.(a) How much work is done by the gravitational force on the crate?(b) Determine the increase in internal energy of the crate-incline system owing to friction.(c) How much work is done by the 111-N force on the crate?(d) What is the change in kinetic energy of the crate?(e) What is the speed of the crate after being pulled 5.11 m?mgPart 1 of 7 - ConceptualizeThe gravitational force does negative work of some tens of joules on the crate. We expect some hundreds of joules of work done by the force on the crate. This force should be larger than the increase in theinternal energy of the system and larger than the change in kinetic energy of the crate. We estimate the final speed to be a few meters per second.Part 2 of 7 - CategorizeWe could use Newton's second law to find the crate's acceleration, but using ideas of work and energy is a more direct way to calculate the final speed. Finding the increase in internal energy is a step towardsfinding the temperature increase of the rubbing surfaces.Part 3 of 7 - Analyze(a) The force of gravitation is (9.7 kg)(9.80 m/s²) = 95.1 N straight down, at an angle of (90W₁ =F. Ar90° + 19.5°) = 109.5110 to the motion. The work done by gravity on the crate is given by-(95.1 N)(5.11✔5.11 m cos 109.5110-162.22-162 J. (b) We set the x and y axes parallel and perpendicular to the incline. From Newton's second law, we know thatΣFy = may = 0,and we haven = (95.1 N) cosso n =N.Substituting for the coefficient of friction and the normal force,fk=μknTherefore, for the change in internal energy we haveAE int = fkdN.N)(m =J.

Name: I solved (a) but i need help with (b) We set the x and y axes parallel
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: I solved (a) but i need help with (b) We set the x and y axes parallel only full part (b). A crate of mass m = 9.7 kg is pulled up a rough incline with an initial speed of v₁ = 1.43 m/s. The pulling force is F = 111 N parallel to the incline, which m