Calculate the magnitude and direction of the centripetal acceleration of the following objects moving in a circle:

A 2000 kg truck drives along a circular round a bout with a radius of 20 m at a constant speed of 10 m/s.

Answers

Answer 1

Answer:

The magnitude and direction of the centripetal acceleration will be:

[tex]a_c=5[/tex] m/s²   (towards the center of the circle).

Explanation:

Given

v = 10 m/sr = 20 m

Using the formula to determine the centripetal acceleration

[tex]a_c=\frac{v^2}{r}[/tex]

[tex]a_c=\frac{\left(10\right)^2}{20}[/tex]

[tex]\:a_c=\frac{100}{20}[/tex]

[tex]a_c=5[/tex] m/s²

As the truck is moving in a circle, therefore the direction is towards the center of the circle.

Hence, the magnitude and direction of the centripetal acceleration will be:

[tex]a_c=5[/tex] m/s²   (towards the center of the circle).


Related Questions

How much energy is required to raise the temperature of 5.0 g of silver from 298 K to
334 K?

Answers

Answer:

43.2J

Explanation:

Q = m × c × ∆T

Where:

Q = amount of energy

m = mass (grams)

c = specific heat capacity

∆T = change in temperature

Mass = 5.0g

Specific heat capacity of Silver (Ag) = 0.240 J/g°C

We need to convert the temperature from Kelvin (K) to °C

Initial temperature = 298 - 273 = 25°C

Final temperature = 334 - 273 = 61°C

Q = 5 × 0.240 × (61°C - 25°C)

Q = 1.2 × 36

Q = 43.2J

a spy satellite of mass of 1000 kg is orbiting the earth at an altitude of 300 km/s

a) what is its period
b) what is its orbital speed​

Answers

Answer:

a) The period of the satellite is approximately 5,425.305 seconds (1.507 hours)

b) The orbital velocity of the satellite is approximately 7,725.8565 m/s

Explanation:

The given parameters are;

The mass of the satellite, m = 1,000 kg

The altitude at which the satellite is orbiting, h = 300 km

a) The period of the satellite is given as follows;

[tex]T = 2 \times \pi \times \sqrt{\dfrac{(R + h)^3}{g \times R^2} }[/tex]

Where;

R = The radius of the Earth = 6.371 × 10⁶ m

g = The acceleration due to gravity = 9.81 m/s²

h = The altitude of the orbit of the satellite = 300 km = 300,000 m

By substitution, we have;

[tex]T = 2 \times \pi \times \sqrt{\dfrac{((6.371 + 0.3)\times 10^6)^3}{9.81 \times (6.371 \times 10^6)^2} } \approx 5,425.305[/tex]

T ≈ 5,425.305 seconds ≈ 1.507 hours

b) The orbital velocity of the satellite is given as follows;

[tex]v_0 = \sqrt{\dfrac{G \times M_{central}}{R + h} } = \sqrt{\dfrac{g \times R^2}{R + h} }[/tex]

Where;

v₀ = The orbital velocity of the satellite

Which by substitution gives;

[tex]v_0 = \sqrt{\dfrac{9.81 \times (6.371 \times 10^6)^2}{(6.371 + 0.3) \times 10^6} } = 7,725.8565[/tex]

The orbital velocity, v₀ = 7,725.8565 m/s.

solvent that can be used to remove ink from clothes and cleaning greasy
hands​

Answers

Answer:

Rubbing Alcohol

Explanation:

The external stimulus (what causes the stress) NEED HELP ASAP

Answers

Answer:

Some examples of external stressors include:

Major life changes. These changes can be positive, such as a new marriage, a planned pregnancy, a promotion or a new house. ...

Environment. The input from the world around us can be a source of stress. ...

Unpredictable events.

Workplace.

Social.

Explanation:

The cause of stress of not having a healthy life style

Which disadvantage of nuclear power use poses the greatest threat to the environment?
the emission of greenhouse gases
the proliferation of nuclear materials
the storage and management of radioactive wastes
the high cost of building facilities

Answers

The correct answer is The storage and management of radioactive wastes

Explanation:

In general, nuclear reactions (changes in the nucleus of an atom such as fission) release a lot of energy including a lot of heat. Moreover, this heat is used by humans to obtain electricity and other types of energy, which is known as a nuclear power. This type of power is considered positive because it does not emit carbon and it is quite efficient.

However, in most cases, it is a threat to the environment and living beings because storing and managing the wastes of this type of power is difficult and expensive. Indeed, dealing with the wastes of nuclear power requires complex infrastructure, and any accident or leaking leads to serious consequences from the death of those exposed to the wastes to permanent loss of diversity or changes in nearby areas.

Answer:

C. The storage and management of radioactive wastes

Explanation:

Hello!
Define heredity, please.

Answers

Answer:

the sum of all biological processes by which particular characteristics are transmitted from parents to their offspring

A 48 N force accelerates a block at 6 m/s/s. What is the mass of the block?

Answers

Answer:8

Explanation:

m=f/a

48/6=8

Consider a 12.5 kg baby tiger in a tree has 490 J of gravitational potential energy. Determine the height of the tiger above the ground?

Answers

Answer:

[tex]\boxed {\boxed {\sf 4 \ meters}}[/tex]

Explanation:

Gravitational potential energy can be found using the following formula:

[tex]E_P=m*g*h[/tex]

where m is the mass, g is the gravitational acceleration, and h is the height.

The mass of the tiger is 12.5 kilograms. The gravitational acceleration on Earth is 9.8 m/s².

The potential energy is 490 Joules. Convert the units to simplify cancelling units later. 1 Joule is equal to 1 kilogram * meter² /second²Our answer of 490 J = 490 kg*m²/s²

[tex]m= 12.5 \ kg \\g= 9.8 \ m/s^2\\E_p= 490 \ kg*m^2/s^2[/tex]

Substitute the values into the formula.

[tex]490 \ kg*m^2/s^2 = 12.5 \ kg * 9.8 \ m/s^2 *h[/tex]

Multiply 12.5 kg and 9.8 m/s²

12.5 kg* 9.8 m/s² = 122.5 kg*m/s²

[tex]490 \ kg*m^2/s^2 = 122.5 \ kg *m/s^2 *h[/tex]

Since we are trying to solve for h, we must isolate it. Since h is being multiplied by 122.5, we must divide both sides by that number because the inverse of division is the inverse of multiplication.

[tex]\frac{490 \ kg*m^2/s^2} { 122.5 \ kg *m/s^2}= \frac{ 122.5 \ kg *m/s^2 *h }{ 122.5 \ kg *m/s^2}[/tex]

Note that when dividing, the kg*m/s² will cancel each other out, but a m (meter) will be left.

[tex]\frac{490 \ m }{122.5} =h[/tex]

[tex]4 \ m =h[/tex]

The tiger was 4 meters above the ground.

Describe how different types of motion are represented by distance-time graphs and velocity-time graphs.

Answers

Answer:

non-accelerated movement

velocity versus time  a horizontal straight line.

distance versus time  gives a horizontal straight line.

accelerated motion

graph of velocity versus time s an inclined line and the slope

graph of distance versus time is a parabola of the form

Explanation:

In kinematics there are two types of steely and non-accelerated movements

In a  the velocity of the body is constant therefore a speed hook against time gives a horizontal straight line.

A graph of distance versus time is a straight line whose slope is the velocity of the body

          x = v t

In an accelerated motion the velocity changes linearly with time, so a graph of velocity versus time is an inclined line and the slope is the value of the acceleration of the body

         v = v₀ + a t

A graph of distance versus time is a parabola of the form

         x =v₀ t + ½ a t²

what is the wavelength of a wave with a frequency of 262 hz and a speed of 343 m/s
A. 89,8666 m/s
B. 0.76 m
C. 1.11 x 10^ -5 m
D. 1.3 m

Answers

Heya!!

For calculate wavelength, lets applicate formula:

                                                      [tex]\boxed{\lambda = V/f}[/tex]

                                                   Δ   Being   Δ

                                            f = Frequency = 262 Hz

                                            v = Velocity = 343 m/s

                                             [tex]\lambda[/tex] = Wavelenght = ?

⇒ Let's replace according the formula:

[tex]\boxed{\lambda = 343\ m/s / 262\ Hz }[/tex]

⇒ Resolving

[tex]\boxed{\lambda = 1,3 \ m}[/tex]

Result:

The wavelength is 1,3 meters.

Good Luck!!

Answer:

D) 1.3 m

Explanation:

Have a amazing day

True or false Adding salt to a pot of water will decrease the temperature that water boils at.

Answers

Answer:water gets hot at 212 so incress

Explanation:

Answer:

False

Explanation:

It will increase

Which of the following is NOT one of the essential components of an exercise program?

Answers

Answer:

i dont know dude but ask someone who is in your grade lol

Explanation:


A girl whose weight is 220-N hangs from
the middle of a bar supported by four vertical
strands of rope. What is the tension in each
strand?

Answers

Answer: 55n

Explanation:

A steel rod has a diameter of 3.75cm.Express it's diameter in millimeters and meter

Answers

Answer:

3.75cm into millimetres

= 3.75 * 10

37.5 millimetres

3.75 cm into metres

3.75/100

= 0.0375m

A car traveled 885mi from El Paso, TX to Dallas, TX in 12.5 hours. What was the car's average speed?

Answers

Answer:

The car's average speed is 70.8 mph

Explanation:

The given parameters are;

The total distance traveled = 885 miles

The time of travel = 12.5 hours

The average speed is given by the following equation;

[tex]Average \ speed = \dfrac{Total \ Distance \ traveled}{Total \ time \ taken \ to \ travel \ the \ distance}[/tex]

Therefore, we have;

[tex]Average \ speed = \dfrac{885 \ miles}{12.5 \ hours} = 70.8 \ miles \ per \ hour[/tex]

Therefore, the car's average speed = 70.8 mph.

Answer:

The car's average speed is 70.8 mph

Explanation:

Different sources of heat . Explain

Answers

Answer:

sun,fire

Explanation:

The main source of heat is sun. It is because there is so much pressure in the core of sun that nuclear fusion takes place: hydrogen is changed to helium. Nuclear fusion creates heat and light.

What is the cause of any sound wave?

Answers

Answer:

When an object vibrates, it causes movement in surrounding air molecules. These molecules bump into the molecules close to them, causing them to vibrate as well. This makes them bump into more nearby air molecules. This “chain reaction” movement, called sound waves, keeps going until the molecules run out of energy.

Explanation:

What is the net force of the diagram?

Answers

The answer is
For the diagram
90 N

Which of the following is a negative affect of palm oil farming related to biodiversity?

Question 2 options:

Palm oil is poisonous to local animals, causing many deaths.


Planting palm oil plantations removes essential nutrients from the soil.


Planting palm oil plantations means cutting down natural rainforests.


Palm oil farming has no negative effects on biodiversity.

Answers

Answer:

The main facts about palm oil

Here are the main facts why palm oil plantations are harming the environment: They release massive amounts of CO2 in the air as rainforests are cleared. Rainforests' soils hold about 45% of the world's terrestrial carbon, cutting them down is like releasing a carbon bomb.The production of palm oil can result in land grabs, loss of livelihoods and social conflict, and human rights are often violated on plantations. The resulting conflicts have had a significant impact on the social welfare of many. Read more. Palm oil is one of the most profitable land uses in the tropics.

Explanation:

The main facts about palm oil

Here are the main facts why palm oil plantations are harming the environment: They release massive amounts of CO2 in the air as rainforests are cleared. Rainforests' soils hold about 45% of the world's terrestrial carbon, cutting them down is like releasing a carbon bomb.The production of palm oil can result in land grabs, loss of livelihoods and social conflict, and human rights are often violated on plantations. The resulting conflicts have had a significant impact on the social welfare of many. Read more. Palm oil is one of the most profitable land uses in the tropics.

a sports event, the car starts from rest, in 5.0 s its acceleration is 5.0 m/s2.
culate the distance travelled by car.

Answers

Answer:

62.5m

Explanation:

Given parameters:

Time  = 5s

Acceleration  = 5m/s²

Unknown:

Distance traveled by car  = ?

Solution:

To solve this problem, we use one of the motion equations as given below:

     S  = ut + [tex]\frac{1}{2}[/tex] at²

S is the distance traveled

t is the time taken

u is the initial velocity  = 0m/s

a is the acceleration

Now insert the parameters and solve;

      S = (0 x 5) + ([tex]\frac{1}{2}[/tex] x 5 x 5²) = 62.5m

A 15 kg box is sliding down an incline of 35 degrees. The incline has a coefficient of friction of 0.25. If the box starts at rest, how fast is it moving after it travels 3 meters?

Answers

The box has 3 forces acting on it:

• its own weight (magnitude w, pointing downward)

• the normal force of the incline on the box (mag. n, pointing upward perpendicular to the incline)

• friction (mag. f, opposing the box's slide down the incline and parallel to the incline)

Decompose each force into components acting parallel or perpendicular to the incline. (Consult the attached free body diagram.) The normal and friction forces are ready to be used, so that just leaves the weight. If we take the direction in which the box is sliding to be the positive parallel direction, then by Newton's second law, we have

• net parallel force:

F = -f + w sin(35°) = m a

• net perpendicular force:

F = n - w cos(35°) = 0

Solve the net perpendicular force equation for the normal force:

n = w cos(35°)

n = (15 kg) (9.8 m/s²) cos(35°)

n ≈ 120 N

Solve for the mag. of friction:

f = µ n

f = 0.25 (120 N)

f ≈ 30 N

Solve the net parallel force equation for the acceleration:

-30 N + (15 kg) (9.8 m/s²) sin(35°) = (15 kg) a

a ≈ (54.3157 N) / (15 kg)

a ≈ 3.6 m/s²

Now solve for the block's speed v given that it starts at rest, with v₀ = 0, and slides down the incline a distance of ∆x = 3 m:

v² - v₀² = 2 ax

v² = 2 (3.6 m/s²) (3 m)

v = √(21.7263 m²/s²)

v ≈ 4.7 m/s

At which point is the object not moving?

A
B
C
D
All of these.
None of these.

Answers

it’s none of those because it’s moving at a constant rate

help plz i need itttttttttttttt

Answers

Answer:

The answer is A or B. Sorry if incorrect. Hope this helps. :)

what is a zippper
awsedrftvgbhnjmk,l

Answers

Answer:

a jacket closing mechanism a most useful tool to preserve and protect.

Explanation:

Answer:

zip·per

/ˈzipər/

noun

a device consisting of two flexible strips of metal or plastic with interlocking projections closed or opened by pulling a slide along them, used to fasten garments, bags, and other items.

A psychologist wants to identify how the holiday season impacts the anxiety levels of Americans. She wants to get results on the feelings of anxiety from over one million Americans in the next month. What design should she use and why?

Answers

Answer: survey

Explanation:

A survey can be an interview or a questionnaire which is given to a particular group in order to know their characteristics or opinions, towards certain issues.

Since the psychologist wants to get results on the feelings of anxiety from over one million Americans in the next month, the survey should be used.

When food is digested, the
smell changes considerably.
What would you call this type
of change?
A. A physical change
B. A chemical change
C. A solution change

Answers

Answer:

Chemical change

Explanation:

A chemical change is what happens. The food digested changes smell due to some enzyme the has acted on the food which catalyzes the rate of digestion. The enzymes acts on the food in order to speed up the rate of the reaction (digestion) and in turn causing the smell.

A sign is attached to the side of a building as seen below. The sign is attached to a steel rod. A wire connects to the end of the rod for support. The mass of the sign is 50 kg. Determine the supporting force exerted by the cable

Answers

Answer:

500N

Explanation:

50kgx10N/kg

= 500N

the fall of a body on the earth's surface cannot be a complete free fall why ?​

Answers

Explanation:

because the boy has larger surface area due to which he offers the larger air resistance which decreases the acceleration so, he will fall towards the earth's surface approximately with constant velocity.

a force that pushes a small mass will have _ effect on the acceleration than that same force pushing on na large mass
A. greater
B. smaller
C. same

Answers

Answer:

a

Explanation:an example An astronaut in space has the same mass as he does on earth while having different ... Newton's Second Law of Motion: Force = mass x acceleration ... Push less to move it (use less force.) ... Gravity has an effect on an object in the vertical direction only.

Answer:

it is a greater

Explanation:

hope it helps

Calculate the speed of a dog running through a yard covering 24m in 52s

Answers

Answer:

0.46 m/s (meters/second)

Explanation:

speed = distance/timespeed = 24/52speed = 0.461538462 m/sRounding this, we get speed = 0.46 m/s
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