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Sidana [21]
3 years ago
6

A 20-kg object is subjected to three forces which produce an acceleration a = -8 m.s^-2 i + 6.0 m.s^-2 j on the object. Two of t

he forces are:F1 = 3.0 N i + 16.0 N jF2 = -12.0 N i+ 8.0 N jFind the third force.
Physics
1 answer:
lana66690 [7]3 years ago
7 0

Answer:

F₃ = -151 N i + 96 N j

Explanation:

Newton's second law:

∑F = m*a Formula (1)

∑F : algebraic sum of the forces in Newton (N)

m : mass s (kg)

a : acceleration  (m/s²)

Forces acting on the object

F₁= 3.0 N i + 16.0 N j

F₂ = -12.0 N i+ 8.0 N j

F₃ = F₃x N i +F₃ y N j

x component of the net force on the object

Fx=F₁x+F₂x+F₃ x

Fx = 3.0 N-12.0 N +F₃x

Fx = F₃x - 9 N

y component of the net force on the object

Fy=F₁y+F₂y+F₃ y

Fy =16.0 N+ 8.0 N +F₃y

Fy = F₃y + 24 N

Newton's second law to the object:

a = -8 m/s² i + 6.0 m/s² j

∑Fx = m*ax    m=20 kg , ax = -8 m/s²

F₃x - 9 = 20 *(-8)

F₃x = -160+9

F₃x = -151 N

∑Fy = m*ay    m=20 kg , ay = 6 m/s²

F₃y + 24 =20*( 6 )

F₃y =120 - 24

F₃y = 96 N

F₃ = -151 N i + 96 N j

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alex41 [277]

Answer:

C

Explanation:

<em>During respiration, oxygen diffuses into the lung (carbon dioxide diffuses out), gets into the blood, and is transported around the body. The hemoglobin of the blood distributes the oxygen to the various cells and carbon dioxide from these cells diffuses into the blood. The blood travels back to the lung where the carbon dioxide is exchanged for oxygen once again. The carbon dioxide is eventually exhaled out of the nose.</em>

The correct option is C.

6 0
3 years ago
The box resting on the inclined plane above has a mass of 20kg. The incline sits at a 30o angle. Find the friction force between
tekilochka [14]

The friction force between the box and the incline if the box does not slide down the incline will be 0.577

The force preventing sliding against one another of solid surfaces, fluid layers, and material components is known as friction. There are several kinds of friction: Two solid surfaces in touch are opposed to one another's relative lateral motion by dry friction.

Given the box resting on the inclined plane above has a mass of 20kg and the The incline sits at a 30 degree angle

We have to find the friction force between the box and the incline if the box does not slide down the incline

Since the frictional force F₁ must equal or exceed gravitational force F₂ down the incline:

F₁ = F₂

μmgcosΘ = mgsinΘ

μ = (mgsinΘ)/(mgcosΘ)

μ = tanΘ

μ = 0.577

Hence the friction force between the box and the incline if the box does not slide down the incline will be 0.577

Learn more about friction force here:

brainly.com/question/24386803

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3 0
2 years ago
Read 2 more answers
Which property of a substance can determine using a ph indicator
vagabundo [1.1K]

Answer:

The acidic or the basic nature of a substance can be determined using a pH indicator. If the pH indicator , shows a pH value less than 7 , the substance is acidic. Lower the pH , high is the acidic nature.

Explanation:

7 0
3 years ago
A solid cylindrical object has a mass of 2.0 kg, a diameter
omeli [17]

Answer:

I = 0.0025 kg.m²

Explanation:

Given that

m= 2 kg

Diameter ,d= 0.1 m

Radius ,R=\dfrac{d}{2}

R=\dfrac{0.1}{2}

R=0.05 m

The moment of inertia of the cylinder about it's axis same as the disc and it is given as

I=\dfrac{mR^2}{2}

Now by putting the all values

I=\dfrac{2\times 0.05^2}{2}

I = 0.0025 kg.m²

Therefore we can say that the moment of inertia of the cylinder will be  0.0025 kg.m².

4 0
3 years ago
A large aquarium of height 5 m is filled with fresh water to a depth of D = 1.80 m. One wall of the aquarium consists of thick p
Damm [24]

To solve the problem we will first start considering the Pressure given the hydrostatic definition of the product between the density, the gravity and the depth. We will define the area where the liquid acts and later we will use the definition of the force as a product between the pressure and the area to calculate the force given in the two depths. The gauge pressure at the depth x will be

(P-P_a)= \rho g x

This pressure acts on the strip of area

dA = 7.6dx

The force acting on that strip is given by,

dF = (P-P_a)dA

dF = \rho g xdA

dF = 7.6 \rho g x dx

To evaluate the force, we will then consider the integral of the pressure as a function of the Area, or the integral of the previously found terms.

F = \int_0^x 7.6 \rho g x dx

F = 3.8 \rho g x^2

Evaluating at the initial depth of 1.8m and the final depth of 4.4 we have then that,

F_{1.8} = 3.8 (998)(9.8)(1.8)^2 = 120416.28N

F_{4.4} = 3.8(998)(9.8)(4.4)^2 = 719524.46N

Therefore the Net force will be

F = F_{4.4}-F_{1.8}

F = 719524.46-120416.28

F = 599108.18N

8 0
4 years ago
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