the free body diagram shown above is for a 5 kg box on a rough surface being pulled to the right at a constant speed by a string that is at an angle of 30° above the horizontal. the coefficient of kinetic friction between the box and the surface is 0.30. the tension in this string is most nearly:

Answers

Answer 1

The tension in the string pulling the box is most nearly 17 N.

The given parameters;

mass of the box, m = 5 kginclination of the string, θ = 30°coefficient of kinetic friction, μ = 0.3

The tension on the string is calculated by applying Newton's second law of motion as follows.

[tex]\Sigma F = ma[/tex]

at constant speed, acceleration, a, = 0

[tex]\Sigma F = 0\\\\T_x - \mu F_n = 0\\\\Tcos(\theta) - \mu F_n = 0\\\\Tcos(\theta)= \mu F_n\\\\T = \frac{\mu F_n}{cos(\theta)} \\\\T = \frac{0.3 \times 5 \times 9.8}{cos(30)} \\\\T = 16.97 \ N\\\\T \approx 17 \ N[/tex]

Thus, the tension in the string pulling the box is most nearly 17 N.

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Related Questions

How are typhoons formed?
Need help! ​

Answers

Answer:

typhoon forms when winds blow into areas of the ocean where the water is warm. These winds collect moisture and rise, while colder air moves in below. This creates pressure, which causes the winds to move very quickly. The winds rotate, or spin, around a center called an eye.

Plz help ⭐..................

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Answer:

where in the world is the image????..

if the magntidude of the sum and difference of two non zero vectors A and B is equal. what can we say about the two vectors ​

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Answer:

A + B = B - A

The above equation must hold for the sum and difference to be zero.

How can one of the vectors not be zero?????

is there any difference in upthrust of water at b and c ​

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Answer:

no picture attached

Explanation:

A) infrared energy
B) microwave energy
C) radio wave energy

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Answer:

Infrared energy

Explanation:

Answer:

A) infrared energy

Explanation:

How to find density of a gas.

Answers

Answer:

Subtract the mass of the cylinder from the mass of the cylinder when it contains gasoline. This is the mass of the gasoline. Divide this figure by the volume, 100 ml, to get the density.

31. TRUE or FALSE A cheese puff must contain C since CO2 was produced when it was burned,

I

Answers

Answer:

True

Explanation:

¿Cuál es la densidad de un metal si una muestra tiene una masa de 63.5 g cuando se mide en el aire y una masa aparente de 55.4 g cuando está sumergida en agua?. Considere la densidad del agua como 1000 kg/m3.

Answers

La densidad del metal como se requiere en la pregunta es 7.8 * 10 ^ 3 Kg / m ^ 3.

Sabemos que ese empuje hacia arriba = peso en aire - peso en líquido

Peso en el aire = 63,5 * 10 ^ -3 Kg * 10 m / s ^ 2 = 0,635 N

Peso en líquido = 55,4 * 10 ^ -3 Kg * 10m / s ^ 2 = 0,554 N

Empuje hacia arriba = 0,635 N - 0,554 N = 0,081 N

Pero ;

Empuje hacia arriba = Volumen * densidad del fluido * aceleración debido a la gratitud

volumen = empuje hacia arriba / densidad del fluido * aceleración debido a la gratitud

volumen = 0.081 N / 1000 * 10

Volumen = 8.1 * 10 ^ -6 m ^ 3

Densidad = masa / volumen

Densidad = 63,5 * 10 ^ -3 Kg / 8,1 * 10 ^ -6 m ^ 3

= 7,8 * 10 ^ 3 kg / m ^ 3

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The first hill of a roller coaster is 42.0 meters high. The bottom of the first hill is 4.2 meters off the ground.The roller coaster cart has a mass of 4500 kg.
Calculate its potential energy at the top of the first hill.





Calculate its potential energy at the bottom of the first hill.





Challenge- What is the velocity of the cart at the bottom of the first hill?

Answers

Answer:

1.89*10⁶J

Explanation:

because 4500kg * 42m*10m/s² is 1890000J

Why are saturn's rings so noticeable?.

Answers

Answer:

Why are Saturn's rings so noticeable? They are made of lots of fresh, bright icy particles from a recent breakup.

Explanation:

what are the characteristics of a " team " in hit in volleyball ? ​

Answers

Answer:

A team may contact the ball a total of three (3) times before it is sent over the net.

8) If a dog is running at 25 feet per second, how far will he travel after I minute of running? Efe runs for 30 minutes at a speed of 40 miles per hour, how far will run? 10) Turbo the Snail moves across the ground at a pace of 12 feet per day If the garden is 48 feet away, how many days will it take for the snail to get there?​

Answers

the dog will run 1,500 feet
Efe will run 20 miles in 30 minutes
Turbo will take 4 days to get there

How to use bernoulli's equation.

Answers

Answer:

Answer is below ….

Explanation:

The Bernoulli equation is a crucial statement that connects a fluid's pressure, height, and velocity at a single point in its flow. In an idealised system, the connection between these fluid conditions along a streamline always equals the same constant along that streamline.

Water from a reservoir runs through enormous tubes called penstocks before reaching a turbine at the end of a hydroelectric dam. The gravitational potential energy drops as the water flows down the pipe according to Bernoulli's equation, yet in many configurations, the water departs at the same speed.

Bernoulli's equation is a more broad and mathematical version of Bernoulli's principle that includes variations in gravitational potential energy. We'll derive this equation in the following part, but first, let's look at Bernoulli's equation to get a sense of what it says and how one may use it.

________________________________________________________

(hope this helps can I pls have brainlist (crown)☺️)

If your neighbor leaves his house, walks 2 miles south, then turns around and walks home, what is his displacement?

Answers

Answer:

0

Explanation:

The neighbors displacement is 0 as displacement is how far the person is from their starting location. If they walk 2 miles away and then head back those 2 miles back to their house; 2-2=0

0 because displacement is a state function!!!

This means that it is where he started vs. where he ended up, it doesn’t matter the steps in between!!

What is the scientific name for a push or a pull?

Answers

Answer:

thats a force

Explanation:

Answer:

force

Explanation:

the definition of a push or pull is force

A 800N mountain climber scales a 140m cliff. How much work is done by the mountain climber?

Answers

Answer:

112 [kJ]

Explanation:

1) related formula is: A=F*S, where A - required work [J], F - force [N], S - distance [m].

2) according to the formula above: A=140*800=112000[J]=112 [kJ]

Answer:

112000 J

Explanation:

800N x 140m

Which wave has the longest wavelength?

Answers

Answer:

A

Explanation:

During a ______ Moon phase, the side of the Moon facing Earth isn't reflecting any sunlight from the Sun.
A: Full

B: New

Answers

Answer:

B) New

During a new Moon phase, the side of the Moon facing Earth isn't reflecting any sunlight from the Sun.

a girl runs once around a circular track with a radius of 100m at speed of 10m/s.
calculate her displacement​

Answers

Answer:

0 m

Explanation:

Displacement is the shortest distance from one ppont to another. Here, the girl returns to the same spot after running. Hence, displacement is 0 m.

Analyze the effects on a passenger riding in a car traveling at
50 km/h that collides head-on with a solid object.

Answers

Without:

The passenger will get seriously injuredColliding with the windshield at 50km/hCould result in death

With safety:

The seatbelt holds tge passengers body back so they dont collide with anythingTheir head is cushioned by the airbagThe passenger might get minor injuries but nothing serious will happen

echo is experienced more in a newly constructed room than in a furnished room why??​

Answers

Answer:

in a furnished room the furniture scatter the sound waves and it doesn't reach our ears in the same manner it left our mouth.

You push a 24.7 kg toy wagon at a speed of 9.7. What is the momentum of the wagon?

Answers

Answer:

Momentum = 239.59 kg·m/s

Explanation:

Mass x Velocity = Momentum

I need help in question 7, a and b.

Answers

Answer:

The graph for 7a is shown in the attachment. For question 7b she walks a distance of 16 meters. (m)

Explanation:

Emma travels at a speed of 23 miles per hour for 3.5 hours. How far has she travelled?

Answers

You’d do 23 x 3.5 which equals 80.5 miles, she traveled 80.5miles

Answer: 80.5 miles

Explanation:

3.5 x 23 = 80.5

Two towers of height 40 m and 30 m respectively support a transmission line conductor at water crossing. The horizontal distance between the towers is 300 m. If the tension in the conductor is 1590 kg, find the clearance of the conductor at a point mid-way between the supports. Weight of conductor is 0·8 kg/m. Bases of the towers can be considered to be at the water level.

Answers

The sag in the tensioned cable depends on the weight of the cable and

the applied tension.

The clearance midway between the support is approximately 29.34 meters

Reasons:

The given parameters are;

Height of the towers are; h₁ = 40 m and h₂ = 30 m

Horizontal distance between the towers, l = 300 m

The tension in the conductor, T = 1,590 kg

Weight of the conductor, w = 0.8 kg/m

Required:

The clearance space of the conductor mid-way between the support

Solution:

The distance, x₁, to the lowest point on the conductor, from the tower, h₁, is given by the formula;

[tex]\displaystyle x_1 = \mathbf{ \frac{l}{2} -\frac{T \cdot h}{w \cdot l}}[/tex]

Where;

h = h₂ - h₁ = 40 m - 30 m = 10 m

Which gives;

[tex]\displaystyle x_1 = \frac{300}{2} -\frac{1590 \times 10}{0.8 \times 300} = \mathbf{83.75}[/tex]

The sag at the lowest point is give by the formula;

[tex]\displaystyle d_1 = \mathbf{ \frac{W \cdot x_1^2}{2 \cdot T}}[/tex]

Therefore;

[tex]\displaystyle d_1 = \frac{0.8 \times 83.75^2}{2 \times 1590} = \frac{4489}{2544} \approx 1.765[/tex]

The lowest point sag, s₁ = 30 m - 1.765 m = 28.235 m

The distance of the midpoint from the lowest point, x, is therefore;

[tex]\displaystyle x = \frac{l}{2} - x_1 = \frac{300}{2} - 83.75 = \mathbf{ 66.25}[/tex]

Which gives;

[tex]\displaystyle d_x = \frac{0.8 \times 66.25^2}{2 \times 1590} = \frac{53}{48} \approx 1.104[/tex]

The clearance midway between the support ≈ 28.235 + 1.104 ≈ 29.34

The clearance midway between the support ≈ 29.34 m

Learn more about overhead lines sag calculations here:

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A 2kg body is moving a long a horizontal circular path of radius 2m with constant speed of 6m/s . what is the magnitude of the force acting on the body ? ​

Answers

The magnitude of force acting on the body is 36N

Help plz????????? Giving out Brainly

Answers

Answer:

Answer should be (B)

Explanation:

If the forces on an object are balanced (or if there are no forces acting on it), this is what happens: a stationary object stays still. a moving object continues to move at the same speed and in the same direction.

ALSO: forces acting upon an object are balanced, then the object will maintain its state of motion. To maintain the state of motion is to keep the current speed and direction. But if the forces are not balanced, the object will change its state of motion.

3. Would prudent to do an observatory M 82 for this class?​

Answers

Answer: Yes,

If you need any other thing let me know, I'll still be on

Explanation:


How fast should a girl of 35 kg run so that her kinetic energy becomes 700J
of?

Answers

V^2 = 700J/0.5*35kg

V = square root of 40

v = 6.324 m/s

Answer:

√40m/sec

Explanation:

As we know Kinetic energy = 1/2 mv^2

700 = 1/2 x 35 x v^2

1400/35 = v^2

√40 = v

So v, √40m/sec

Hope this helps you.

A 2kg water balloon is flying at a rate of 4m/s^2. With what force will it hit its target?

Answers

Explanation:

F=m×a

m=2kg

a=4m/s^2

F=2kg×4m/s^2

F=8N

A 2 kg water balloon is flying at a rate of 4 m/s². Force with which balloon will hit its target is 8 Newton.

What is force?

A force is a push or pull upon an object resulting from the object's interaction with another object. Whenever there is body with some mass than there is force.

Given in the question mass and acceleration of balloon, force is given as

F = m*a

m = 2 kg

a = 4 m/s²

F = 2 kg×4 m/s²

F = 8 N

A 2 kg water balloon is flying at a rate of 4 m/s². Force with which balloon will hit its target is 8 Newton.

To learn more about force refer to the link:

brainly.com/question/13191643

 #SPJ5

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