Select all the answers that apply.

Consider a system made of a ramp that has a run of 8 m and a rise of 6 m. Two equal masses of 4-kg are connected to each other b

djyliett [7]

Answer:

The force of friction is 15.68 N.

Explanation:

Given:

Rise is 6 m and run is 8 m.

Mass of each body (m) = 4 kg

The whole system is in equilibrium.

Now, consider the diagram below representing the scenario given in the question.

The forces acting on the mass that is hanging are tension force in the upward direction and weight of the body acting vertically downward.

As the mass is in equilibrium, the total upward force equals total downward force. So,

$T= mg=4\times 9.8=39.2\ N$ -------- (1)

Now, the forces acting on the other mass along the ramp are:

1. Tension (T) up the ramp

2. $mg sin\theta$ and frictional force (f) down the ramp

Now, as per question:

Rise = 6 m and run = 8 m

So, from figure,

$\tan\theta=\frac{6}{8}=0.75\\\\\theta=\tan^{-1}(0.75)=37\°$

Now, $\sin\theta=\sin(37\°)=0.6$

Now, as the other mass is also at rest, net force acting on it is also 0. So,

$F_{net}=0\\\\T-(mg\sin\theta+f)=0\\\\mg\sin\theta+f=T\\\\f=T-mg\sin\theta$

Now, plug in the given values and solve for 'f'. This gives,

$f=39.2-(4\times 9.8\times 0.6)\\\\f=39.2-23.52=15.68\ N$

Therefore, the force of friction is 15.68 N

4 0

4 years ago

Why it is important for scientists and engineers to understand the relationship between a structure and its function?

ivolga24 [154]

Answer:

Science is the body of knowledge that explores the physical and natural world. Engineering is the application of knowledge in order to design, build and maintain a product or a process that solves a problem and fulfills a need.

Explanation:

3 0

3 years ago

Light from a 560 nm monochromatic source is incident upon the surface of fused quartz (n = 1.56) at an angle of 60°. What is the

MaRussiya [10]

Answer:

The angle of reflection is "60°".

Explanation:

The given values are:

Light from monochromatic source,

= 560 nm

Angle of incidence,

= 60°

Surface of fused quartz (n),

= 1.56

Whenever a light ray was indeed occurring at a flat surface, it should be the law or concept of reflection which contains this same rays of light, the reflected ray as well as the "normal" ray at either the mirror surface.

According to the above law,

⇒ $Angle \ of \ incidence=Angle \ of \ reflection$

then,

⇒ $Angle \ of \ reflection=60^{\circ}$

3 0

3 years ago

A gas in a closed container is heated with 10J of energy, causing the lid of the container to rise 2m with 3N of force. What is

AveGali [126]

Explanation:

For this problem, use the first law of thermodynamics. The change in energy equals the increase in heat energy minus the work done.

ΔU=Q−W

We are not given a value for work, but we can solve for it using the force and distance. Work is the product of force and displacement.

W=FΔx

W=3N×2m

W=6J

Now that we have the value of work done and the value for heat added, we can solve for the total change in energy.

ΔU=Q−W

ΔU=10J−6J

ΔU=4J

Answer is 4J

i think this may help you very much

3 0

3 years ago

Superman throws a boulder of weight 3800 n at an adversary on the surface of the earth, where the magnitude of the acceleration

evablogger [386]

The weight of the boulder is 3800 N, therefore its mass i s
3800/9.8 = 387.755 kg

If the horizontal acceleration is 12.8 m/s², then the horizontal force applied is
F = (387.755 kg)*(12.8 m/s²) = 4.963 x 10³ n = 4.963 kN

Answer: 4.963 kN

5 0

4 years ago