Physics, 06.12.2020 21:20 jakiyahporter0817

Consider the heaviest box of 68 kg that you can push at constant speed across a level floor, where the coefficient of kinetic friction is 0.50, and estimate the maximum horizontal force that you can apply to the box. A box sits on a ramp that is inclined at an angle of 50.0 ∘ above the horizontal. The coefficient of kinetic friction between the box and the ramp is 0.50.

Answers: 2

Show answers

Answers

Answer from: zitterkoph

Complete Question

Consider the heaviest box of 68 kg that you can push at constant speed across a level floor, where the coefficient of kinetic friction is 0.50, and estimate the maximum horizontal force that you can apply to the box. A box sits on a ramp that is inclined at an angle of 50.0 ∘ above the horizontal. The coefficient of kinetic friction between the box and the ramp is 0.50.If you apply the same magnitude force, now parallel to the ramp, that you applied to the box on the floor, what is the heaviest box (in pounds) that you can push up the ramp at constant speed? (In both cases assume you can give enough extra push to get the

The force on the heaviest mass is $F = 333.2 \ N$

The mass on the inclined ramp is $M = 76.47 \ kg$

Explanation:

From the question we are told that

The mass of the heaviest box is $m = 68 \ kg$

The coefficient of kinetic friction is $\mu_k = 0.50$

The angle at which the ramp is inclined is $\theta = 50^o$

Generally at constant speed the acceleration is zero , which implies that

F - F_f = 0

Here F is the horizontal force applied to the heaviest box and F_f is the kinetic frictional force which is mathematically represented as

$F_f = \mu_k * m * g$

=> F_f = 0.50 * 68 * 9.8

=> $F_f = 333.2 \ N$

F - 333.2 = 0

=> $F = 333.2 \ N$

Considering the ramp inclined at an angle above the horizontal

Generally apart from the force F acting on the box in a direction parallel to the ramp the other force acting on the box parallel to the ramp is the net force due to frictional force on the object which is mathematically represented as

$F_f_h = \mu Mg cos (\theta )$

and the weight of the object which is mathematically represented as

$F_w = Mg sin (\theta )$

So the net force is mathematically evaluated as

$F_n = F_w - F_{fh}$

=> $F_n =Mg sin (\theta ) - \mu Mg cos (\theta )$

=> F_n =M [ 9.8 sin ( 50 )-0.50 * 9.8 cos (50 ) ]

=> $F_n = 4.3576M \ N$

So the net force acting on the box parallel to the ramp is mathematically represented as

$F_{net} = F - F_n$

=> $F_{net} = 333.2- 4.3575M$

=> ma = 333.2- 4.3575M

From the question we are told the velocity is constant so the acceleration is zero

=> 333.2- 4.3575M = 0

=> $M = 76.47 \ kg$

Answer from: Quest

1. may 2. september 3. february, and december4. 70°f

Answer from: Quest

A. they hold atoms together with a molecule.its a force that exist between molecules. hope this .

Another question on Physics

Physics, 22.06.2019 06:00

Using a pedometer, you walk 3000 steps in 20 minutes, so your speed is 150 steps/min. each of your steps is 0.7 m long. what is your speed? 150 steps/min=/s=/h

Answers: 1

Answer

Physics, 22.06.2019 21:00

The velocity of a car traveling in a straight line increases from 0 meters/second to 30meters/second in 8 seconds. what is the average acceleration of the car?

Answers: 1

Answer

Physics, 23.06.2019 04:40

2) a cubical block of stone is lowered at a steady rate into the ocean by a crane, always keeping the top and bottom faces horizontal. which one of the following graphs best describes the buoyant force b on this block as a function of time t if the block just enters the water at time t = 0 s?

Answers: 3

Answer

Physics, 23.06.2019 05:00

Consider the phase change taking place in the picture. you could use all but one statement to describe what is happening here. that is: a) temperature is increasing. b) kinetic energy is increasing. c) the space between the particles remains the same. d) the attractive force between the particles is decreasing.

Answers: 1

Answer

You know the right answer?

Consider the heaviest box of 68 kg that you can push at constant speed across a level floor, where t...

Questions