2.5 x 103 kilogram truck with rubber tires moves through a 120 meter radius turn on a dry asphalt surface.

a. Determine the force of friction acting on the truck's tires during the turn.


b. Calculate the maximum speed with which the truck could have made this turn.

Answers

Answer 1

Answer:

a. The friction force acting on the truck's tires during the turn, is approximately 20,875 N

b. The maximum velocity with which the truck could make the bend is approximately 31.654 m/s

Explanation:

The given parameters of the truck are;

The mass of the truck, m = 2.5 × 10³ kg

The tire material = Rubber

The radius of the turn the through which the truck moves = 120 meters

The material and condition of the surface = Dry asphalt

a. The coefficient of friction of rubber tires on dry asphalt, μ ≈ 0.85 (researchgate (internet source))

The weight of the truck, W = m × g

Where;

m = The mass of the truck = 2.5 × 10³ kg

g = The acceleration due to gravity = 9.8 m/s²

∴ W = 2.5 × 10³ kg × 9.8 m/s² = 24,500 N

The force of friction acting on the tires, [tex]F_f[/tex] = W × μ

∴ [tex]F_f[/tex] = 24,500 N × 0.85 ≈ 20,875 N

The friction force acting on the truck's tires during the turn, [tex]F_f[/tex] ≈ 20,875 N

b. The centrifugal force the truck observes while turning through the bend, 'F', is given as follows;

F = m·v²/r

Therefore, the maximum velocity with which the truck could make the bend, 'v', is given when fiction force, '[tex]F_f[/tex]', is equal to the centripetal force, F

When [tex]F_f[/tex] = F, we have;

W × μ = m·v²/r

∴ 20,875 N = 2.5 × 10³ kg × v²/(120 m)

∴ v² = 20,875 N × (120 m)/(2.5 × 10^3 kg) = 1002 m²/s²

v = √(1002 m²/s²) ≈ 31.654 m/s

The maximum velocity with which the truck could make the bend, v ≈ 31.654 m/s

Answer 2
The force of friction acting on the truck's tires during the turn is 20,875 NThe maximum velocity with which the truck could have made the turn is 31.654 m/s.

According to this question;

The mass of the truck (m) = 2.5 × 10³ kgThe radius of the turn = 120mThe coefficient of friction of rubber tires on dry asphalt, μ ≈ 0.85

QUESTION 1:

Weight of the truck (W) = m × g

Where;

m = mass of the truck = 2.5 × 10³ kgg = acceleration due to gravity = 9.8 m/s²

W = 2.5 × 10³ kg × 9.8 m/s² = 24,500 N

The force of friction acting on the tires, = W × μ

= 24,500 N × 0.85 ≈ 20,875 N

The force of friction acting on the truck's tires during the turn = 20,875 N

QUESTION 2:

Centrifugal force of the truck can be calculated as follows: F = mv²/r

However, force of friction (Ff) is equal to centripetal force (F). That is;

W × μ = m·v²/r

20,875N = 2.5 × 10³ kg × v²/(120 m)

v² = 20,875 × 120/2.5 × 10³ = 1002 m²/s²

v = √1002 = 31.654m/s

The maximum velocity with which the truck could make the turn = 31.654 m/s.

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Related Questions

The final velocity of a car is 30m/s. The car is accelerating at a rate of 2.5m/s2
over an 2.8m/s2
8 second period of time. What is the initial velocity of the car?

Answers

Answer:

10m/s

Explanation:

Vf=v0+at

30m/s=v0+2.5m/s^2*8s

Solve for v0=10m/s

Sorry for the vague explanation I'm on my phone right now. Hope this still helps!

Initial velocity of the car where final velocity of a car is 30m/s and it is accelerating at a rate of 2.5 [tex]m/s^{2}[/tex] over an 2.8 [tex]m/s^{2}[/tex] 8 second period of time is 10 m/s.

To find the initial velocity of the car, we can use the kinematic equation:

Final velocity (v) = Initial velocity (u) + (Acceleration (a) * Time (t)).

Given the final velocity (v) as 30 m/s, acceleration (a) as 2.5 [tex]m/s^{2}[/tex], and time (t) as 8 seconds, we can plug these values into the equation:

30 m/s = u + (2.5 [tex]m/s^{2}[/tex] * 8 s).

Now, solve for the initial velocity (u):

30 m/s = u + 20 m/s.

Subtract 20 m/s from both sides:

u = 30 m/s - 20 m/s = 10 m/s.

Therefore, the initial velocity of the car is 10 m/s.

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if tje object is placed pf the focus of a concave mirror the image is formed....​

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Answer:

when object is kept at focus then image will form at infinity

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virtual erect highly diminished image will be formed and it is used in the lense in galilean telescope

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Explanation:

1. Electrons spinning around the nucleus of an atom cause the atom to
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Answer:

Answer:answer is C

is the magnetic field

34 Which of these human characteristics shows discontinuous variation?
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B hair color
C height
D weight

Answers

Answer:

Blood group

Explanation:

Answer:

A. Blood group.

Explanation:

They could purely random genetic changes.

Which of the following will best transport electrons around an electrical circuit

Answers

Answer:

b is correct!!!!!!!!!!!

The best transport electrons around an electrical circuit are connected in series. Thus, the correct answer would be option (B) are connected in series.

What is alternating current (AC)?

An alternating current (AC) circuits continuously switches the direction of electron flow back and forth, which can result in fluctuations in voltage and current.

On the other hand, in a direct current (DC) electrical circuit, the electrons flow in one direction, from the negative terminal of the power source to the positive terminal. This unidirectional flow of electrons provides a consistent and stable flow of electricity throughout the circuit.

Connecting components in series mean that they are connected end-to-end, and the current flowing through them is the same.

Overall, the best option to transport electrons around an electrical circuit are to connect in series.

Therefore, the correct answer would be option (B) are connected in series.

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1.) A projectile is launched at 32.1 m/s and 52.6 º above the horizontal. Determine the:
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b.) The time it takes to reach the maximum height
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Answers

Answer:

a.) Maximum height of the projectile. =32.5m

b.) The time it takes to reach the maximum height=2.6s

c.) Time of flight=2.6s

d.) Range=99.5m

Explanation:

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B) They can make something new with the materials.
C) They can only make a wooden box from the materials.​​

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Answer:

i guess u could pick "B" :)

Explanation:

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Answers

Answer:

A plane mirror is a mirror with a flat (planar) reflective surface. For light rays striking a plane mirror, the angle of reflection equals the angle of incidence. The angle of the incidence is the angle between the incident ray and the surface normal (an imaginary line perpendicular to the surface).

Reflective surface

Explanation

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Answers

Answer:

[tex]H=\frac{V^2}{R}[/tex]

Explanation:

Let H be  heat produced per sec

Time, t=1 sec

Resistance of resistor=R ohm

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We know that

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Substitute the value

Then, we get

Heat,[tex]H=\frac{V^2}{R}\times 1[/tex]

[tex]H=\frac{V^2}{R}[/tex]

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Answers

b because it’s a straight line

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A. Heat flowed from the soda to the ice cube and caused it to partially melt.

B. Coldness flowed from the ice cube to the soda, making the soda cooler.

C. The cold water from the melting ice went into the soda, replacing the warmer water that was in the soda

D. The water from the melting ice makes the soda more dilute, and the lower concentration makes the temperature lower.

Answers

Answer:

A.

Explanation:

That's the answer

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Answer:

The actions taken in the initial moments after a crisis matter. These steps can determine how disruptive the aftermath will be. With this in mind, companies need to plan for any potential incidents that could occur. In this blog post, we discuss the importance of emergency planning, the impact it has on a crisis and how to prepare for the worst.

Explanation:

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Answers

Answer:

The moment of inertia depends on the following factors, The density of the material. Shape and size of the body. Axis of rotation (distribution of mass relative to the axis)

PLEASE HELP PLEASEEEE

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Answer:

Concave mirror

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Because as we move the object far away from the mirror the image gets inverted

Please help me, I'm not good in physics.

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Answers

Answer:

Upward direction.

The friction is kinetic friction

The cooling system of an automobile motor contains 20.0 kg of water. What is the Δt of the water if the engine operates until 836,000 J of heat have been added to the water?

Answers

Answer: 10 c

Explanation:

The cooling system of an automobile motor contains 20 kg of water, then the temperature change of the water is 10 °C.

What is heat?

Heat is the result of the movement of kinetic energy from one substance or item to another, or from an energy source to a substance or object. Radiation, conduction, and convection are three different ways that this energy can be transferred.

The calorie (cal), the primary unit of heat in the International System of Units (SI), is the quantity of energy transfer necessary to raise the temperature of one gram of liquid from water by one degree's Centigrade, provided that the water's temperature is both higher than the freezing point and lesser than the boiling point.

The given data in the question is,

Heat, Q = 836000 J

Volume, V = 20 L

Mass, m = 20 kg

ΔT = Q/m[tex]C_p[/tex]

ΔT = (836000)/(20 × 4180)

ΔT = 10 °C

Therefore, the change in temperature will be equal to  10 °C.

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Question 6 of 59
A wave has a wavelength of 5 m and a speed of 65 m/s. What is the frequency of this wave in Hz?

Answers

Answer:

13 Hz Ans..

Explanation:

Data:

wavelength = 5 m

v = 65 m\s

f = ?

Formula:

v = f w

f= v\w

Solution:

f = 65 \ 5

f = 13 Hz Ans .........

A 45-kg child sits on a 3.2-kg tire swing. What is the tension in the rope that hangs from a tree branch?

Answers

Answer:

472.36 N

Explanation:

The total mass with the tire and child would be 45 kg + 3.2 kg = 48.2 kg

Ft = force tension

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Fnet=0 (because child is motionless and not accelerating)

0 = Ft - Fg

Ft = Fg

Ft = m*g

Ft = 48.2 kg * 9.8 m/s^2

Ft = 472.36 N

Hope this helps!!

A 45-kg child sits on a 3.2-kg tire swing. The tension of the rope is 472.36 N.

The parameters given in the question is

Mass of the child= 45 kg

Mass of the tire swing attached to the tree= 3.2 kg

What is Tension?Tension can be defined as the force that can gets transmitted through a rope, string or wire when they are pulled through any forces that should acting from opposite sides.The tension force can be directed throughout the length of the wire and also it pulls the energy equally on the bodies at the ends.All the physical object which will be in contact exerts some force on one another.

The first step is to calculate the total mass. The total mass can be calculated as follows;

= Mass of the child + mass of the tire swing

= 45 + 3.2

= 48.2 kg

The tension can be calculated as follows,

= mass × acceleration

= 48.2 × 9.8

= 472.36

Hence, A 45-kg child sits on a 3.2-kg tire swing. The tension of the rope is 472.36 N.

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How do longitudinal waves differ from transverse waves? Give examples of both.

Answers

Answer:

Explanation:

Longitudinal

The medium moves in the same direction of the wave

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This wave can be produced in any medium such as gas, liquid or solid

The earthquake P wave is an example

It is made of rarefactions and compressions

Transverse

The medium is moving perpendicular to the direction of wave

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The wave can be polarized or aligned

This wave can be produced in solid and liquid’s surface

Earthquake S wave is an example

It is made of troughs and crests

. A boy wishes to throw a ball through a house via two small openings, one in the front and the other in

the back window, the second window being directly behind the first. If the boy stands at a distance of 5m

in front of the house and the house is 6m deep and if the opening in the front window is 5m above him

and that in the back window 2m higher, calculate the velocity and the angle of projection of the ball that

will enable him to accomplish his desire.

Answers

Answer:

1) The angle of projection of the ball is approximately 52.496° above the horizontal

2) The velocity with which the boy throws the ball to enable him accomplish his desire is approximately 14.769 m/s

Explanation:

In the projectile motion of the ball, the parameters are;

The distance the boy stands from the front of the house = 5 m

The depth of the house, front to back = 6 m

The height of the opening of the front window above him = 5 m

The height of the back window = 2 m higher than the front window

Therefore, the height of the back window = 5 m + 2 m = 7 m

1) The general formula for the vertical height of a parabolic projectile motion is given as follows;

y = a·x² + b·x + c

At y = 0, x = 0, therefore, c = 0

At y = 5, x = 5, we have;

5 = a·5² + b·5

∴ 5 = 25·a + 5·b...(1)

At y = 7, x = 11, we have;

7 = a·11² + b·11

7 = 121·a + 11·b...(2)

Making 'a' the subject of equation (1) and (2) and equating both values of 'a' gives;

For equation (1);

a = (5 - 5·b)/25 = 1/5 - b/5

a = 1/5 - b/5

For equation (2);

a = (7 - 11·b)/121 = 7/121 - b/11

a = 7/121 - b/11

∴ 1/5 - b/5 = 7/121 - b/11

1/5 - 7/121 = b/5 - b/11

86/605 = 6·b/55

b = (86/605) × (55/6) = 43/33

b = 43/33

a = 1/5 - b/5 = 1/5 - (43/33)/5 = -2/33

∴ y = (-2/33)·x² + (43/33)·x

The slope of the curve = dy/dx = d((-2/33)·x² + (43/33)·x)/dx = -4/33·x + 43/33

The slope of the curve at any point on the projectile = -4/33·x + 43/33

The slope at the origin is given by plugging x = 0  as follows

The slope at the origin = -4/33 × 0 + 43/33 = 43/33

The slope at the origin = tan(θ) = 43/33

Where;

θ = The angle of projection of the ball

∴ θ = arctan(43/33) ≈ 52.496°

The angle of projection of the ball, θ ≈ 52.496° above the horizontal

2) At the back widow, the equation for the vertical height, 'h', is given as follows;

[tex]h = (tan \angle \theta) \cdot x - \left(\dfrac{g}{2 \cdot v_1^2 \cdot cos^2 \angle \theta } \right )\cdot x^2[/tex]

Where;

h = The vertical height of the back window = 7 m

tan∠θ = 43/33

x = The horizontal distance of the back window from the boy = 5 m + 6 m = 11 m

g = The acceleration due to gravity = 9.8 m/s²

v₁ = The velocity with which the boy throws the ball

cos²∠θ = cos²(arctan(43/33)) = 1089/2938

Plugging in the values gives;

[tex]7 = \left (\dfrac{43}{33} \right) \times 11 - \left(\dfrac{9.8}{2 \cdot v_1^2 \cdot \dfrac{1089}{2938} } \right )\cdot 11^2[/tex]

[tex]\therefore v_1^2 = \dfrac{71981}{330}[/tex]

[tex]\therefore v_1 = \sqrt{\dfrac{71981}{330}} \approx \pm14.769[/tex]

The velocity with which the boy throws the ball to enable him accomplish his desire, v₁ ≈ 14.769 m/s.

WILL GIVE BRAINLIST a HELP PLEASE
pleaseeee

Answers

Answer:

Concave mirror

Explanation:

Because as we move the object far away from the mirror, the image gets inverted.

Answer:

Concave mirror

Explanation:

A student wants to make an analogy to help her remember the characteristics of the planets. Which analogy makes the most sense?

The inner planets are like cotton candy and the outer planets are like hard butterscotch candy.
The outer planets are like bowling balls and the inner planets are like basketballs.
The inner planets are like hard butterscotch candy and the outer planets are like cotton candy.
The outer planets are like roses and the inner planets are like daisies.

Answers

Answer:

The last one makes the most sense as they combine two like things that are easy to visualize

Explanation:

Answer:

C. The inner planets are like hard butterscotch candy and the outer planets are like cotton candy.

Explanation:

Right on ED2021, goodluck!


6. What is the measure of the amount of energy released in an earthquake?
a. Earthquake
B. Magnitude
C. epicenter
D. Intensity​

Answers

Answer:

Magnitude

Explanation:

B is the answer

Answer:

its B

Explanation:

HELP please!!!!!!!!!!!!!!!​

Answers

Nolur acil lütfen yalvarırım sana

An object has a force of 88N to the right Wth an acceleration of 8 m/s2 to the right. What is the mass of the object? (mass has a unit of kg.)

Answers

Answer:

your answer is 11

Explanation:

What is the direction of the force of an object moving in a circle?

1.toward the center of the circle

2.toward the outside of the circle

3.straight up

4.45 degree angle

Answers

Answer:

The answer is 45 degree angle

Which of the following determines the identity of an atom?

A. atomic mass

B. mass number

C. atomic number

D. charge

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I believe the answer is C

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Answers

They're both a type of mechanical wave, which require a medium for propagation.
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