Three forces act simultaneously on poin J. One force is 10.0 N north; the second is 15.0 N west; the third is 15.0 N 30.0° east of north. Determine the magnitude and direction of the resultant force.​

Answers

Answer 1

The magnitude and direction of the resultant force are 10.0N and 101.36⁰

The sum of force along the force horizontal is expressed as:

[tex]\sum F_x=-15.0N+15cos30\\\sum F_x = -15.0N + 12.99N\\\sum F_x = -2.01N[/tex]

The sum of force along the vertical is expressed as:

[tex]\sum F_y = +10N[/tex]

Calculate the magnitude of the force:

[tex]F=\sqrt{(\sum F_x)^2+(\sum F_y)^2} \\F=\sqrt{(-2.01)^2+(10)^2} \\F=\sqrt{104.0401}\\F= 10.2N[/tex]

Hence the magnitude of the resultant force is 10.2N

Find the direction

[tex]\theta = tan^{-1}\frac{y}{x}\\ \theta = tan^{-1}\frac{10}{-2.01}\\\theta =tan^{-1}(-4.9751)\\\theta =-78.63^0\\\theta = 180-78.63 = 101.36^0[/tex]

Hence the magnitude and direction of the resultant force are 10.0N and 101.36⁰

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Related Questions

although the pivot exerts a force on the ruler it does not exert a torque with respect to the pivot point. why not?

Answers

Answer:

The situation is not shown, however if one calculates torques about the pivot point, then the pivot point itself exerts no torque because the force applied by the pivot point exerts zero torque because Fp * L = 0 where L = 0 in this case.

If one wants to calculate torques about, say, the end of the ruler then one would need to calculate the torque applied by the pivot point.

I NEED A SCIENCE EXPERT TO GIVE ME THE RIGHT ANSWER TO THESE ASAP NO LINKS !!!

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Answer:

1 st question: Control variable

2nd question: random variable

3rd question: if the two objects are dropped from the same height they will hit the ground at the same time

Answer:

it IS the control variable

Explanation:

what is a concentration?​

Answers

Answer/Explanation:

In chemistry, concentration is the abundance of a constituent divided by the total volume of a mixture. Several types of mathematical description can be distinguished: mass concentration, molar concentration, number concentration, and volume concentration.

A concentration refers to a subject or study within a specific major. As part of the degree coursework, concentration classes count toward your major requirements as well.

what effects does ionizing radiation have on the atmosphere

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What else did you want to do today and you can do homework today and tomorrow morning at school and so we can do

A force is applied to a 2.9 kg mass and pro-
duces 2.7 m/s?
acceleration.
What acceleration would be produced by
the same force applied to a 6.2 kg mass?
Answer in units of m/s?

Answers

Answer:

5.8 or 5.77

Explanation:

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A 755 N force is used to push a 15 Kg box across the floor. What is the acceleration of the box?

Answers

Answer:

a = 151/3 m/s²

General Formulas and Concepts:

Forces

Newton's 2nd Law of Motion: F = ma

F is force (in N)m is mass (in kg)a is acceleration (in m/s²)

Explanation:

Step 1: Define

Identify variables

F = 755 N

m = 15 kg

Step 2: Solve for a

Substitute in variables [Newton's 2nd Law of Motion]:                                 755 N = (15 kg)aIsolate a:                                                                                                            a = 151/3 m/s²

Topic: AP Physics 1 - Algebra Based

Unit: Forces

Paula has walked in a straight line, 30.5° north of west, for 1650 meters. How far south and east should she walks to return to her original location

Answers

The answer is A.
Sy = 1650 x sin30.5 = 837.4 m toward south
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__________ invented the analytical engine, a machine that did calculations.

Answers

Answer:

Charles Babbage

Explanation:

Analytical Engine, generally considered the first computer, designed and partly built by the English inventor Charles Babbage in the 19th century (he worked on it until his death in 1871).

Please help I’ll mark brainlyest

Answers

Answer:

10N right

Explanation:

The 10N of force acting down and up on the object cancel out.

The 15N of force pulling the force to the right is stronger than the 5N of force pulling the object left

15N - 5N = 10N

The magnitude and unit is 10N, and the direction is right

22. Calculate the displacement in meters a cyclist would travel in 5.00 h at an average
of 12.0 km/h to the south west

Answers


Explanation:
To whichever direction, if the cyclist did not change the direction, the displacement is
By formula :d=v×t
given, v=12km/h and, t=5h
=>
x=12km/h×5h=60km=60×1000m=60000m

constraints for the sub-problem for pollution

Answers

AIR POLLUTION

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You push the sofa across the floor. Which force is NOT present on the sofa?
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Answers

Answer:

c) tension ........ ........

Answer:

gravity

Explanation:

because it cannot be move across if there is present gravity force

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Answer:

You need to divide 200 by 23 seconds in order to get your answer.

Evan drives a golf ball with an initial velocity of 49 meters per second at an angle of 16 degrees own a flat driving range. How far will the golf ball land?

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Answer:

solusion Explanation:the answer in 984

tha

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A box of mass 4kg is being pulled along a rough surface to the right, as shown below. When F=8N, the box accelerates to the right 1m/s^2. If F is doubled to 16N, the acceleration of the box across the same rough surface will be:

A) 1m/s^2
B) 2 m/s^2
C) 3 m/s^2
D) 4 m/s^2
E) 0.5 m/s^2

Answers

Hi there!

Recall that:

∑F = ma

In the given situation, there is acceleration occurring in the horizontal direction, so there is a net force.

∑F = Fa (Force applied) - Fκ (Force due to kinetic friction)

We can plug in given values to solve for the frictional force:

ma = Fa - Fκ

(4)(1) = 8 - Fκ

4 = 8 - Fk

Fκ= 4N (negative since working opposite to acceleration)

Now, solve given the new force:

4a = 16 - 4

4a = 12

a = 3 m/s², Answer C.

Can someone help me with one through seven I will mark you the brainly

Answers

Answer:

1.  F = M x A

2. Force  

3. 2nd Law: Force

4. a, b, c (in order)

5. 3rd Law: Action and Reaction

6. b, c, a (in order)

7. 1st Law: Inertia

1. F=ma

2. Force

3. Second law

4. a)first

b)second

C) third

5. Third

6. a) second

b) third

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a proton, moving east, enters a magnetic field of a certain strength. because of this field the proton curves downward. what is the direction of the magnetic field?

Answers

Answer:

F = q V X B

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If V is east and F is down then one can see that B must be directed towards  the south - turn V into B (south) and F will be directed downwards.

calculate the volume of a spare with radius 7cm

Answers

Answer:

around 1436.76 cm^3

Explanation:

v = 4/3(3.14)7^3

v = 4/3(3.14)343

v = 4/3(1077.02)

v = 1436.02666667

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v = 1436.027

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The answer is motion

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Answer:

wala

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April 24 1990 is the correct answer

A car moving along a straight highway with speed of 126 km 1 h− to brought to stop within a distance of 200 m. how long does it take for the car to stop?

Answers

Answer: 11.43 sec

solution:

v2 – u2 = 2as

a = (v2 – u2)/2s

= (0 – 352)/(2 × 200)

= –1225/400

= –3.06 m/s2  

v = u + at

0 = 35 – 3.06 × t

t = 35/3.06

 = 11.43 sec

what is concentration?​

Answers

Answer:

The concentration of a chemical substance expresses the amount of a substance present in a mixture.

Another definition is that concentration is the ratio of solute in a solution to either solvent or total solution. Concentration is usually expressed in terms of mass per unit volume.

Answer:

In chemistry, concentration is the abundance of a constituent divided by the total volume of a mixture. Several types of mathematical description can be distinguished: mass concentration, molar concentration, number concentration, and volume concentration.

When does the object have potential energy?

Answers

Answer:

To summarize, potential energy is the energy that is stored in an object due to its position relative to some zero position.

Explanation:

An object possesses gravitational potential energy if it is positioned at a height above (or below) the zero height.

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A force of 20 N acts upon a 5 kg biock. Calculate the acceleration of the object.

Answers

Answer:

F=ma

Explanation:

Given required solution

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a=4m/s^2

Write down what unit of time, you need to use for measuring

Challenging Questions

a. The beat of your heart.

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Answers

Answer:

resultant displacement = 20√1o6 km = 205912.6 m in the direction of western north.

Explanation:

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using Pythagoras, we get the resultant displacement = 20√1o6 km = 205912.6 m in the direction of western north.

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Answer:

Is zero.

Explanation:

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