The maker of an automobile advertises that it takes 13 seconds to accelerate from 5 kilometers per hour to 65 kilometers per hour. Assuming constant acceleration, compute the acceleration in meters per second per second. Round your answer to three decimal places.

Answers

Answer 1

Answer: the acceleration is 1.282 m/s²

 

Explanation:

Given that;

Time t = 13 sec

Initial velocity U = 5 kmph = (5 × 1000)/(60 × 60) = 1.3888 m/s

final velocity V = 65 kmph = (65 × 1000)/(60 × 60) = 18.0555 m/s

Now we know that;

V = U + at

we substitute

18.0555 = 1.3888 + 13a

18.0555 - 1.3888 = 13a

13a = 16.6667

a = 16.6667 / 13

a = 1.282 m/s²

Therefore the acceleration is 1.282 m/s²


Related Questions

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TIME REMAINING 10:34
Which statement describes an atomic nucleſus?
An atomic nucleus is negatively charged.
An atomic nucleus has no electrical charge.
An atomic nucleus consists of mostly empty space.
An atomic nucleus contains most of the atom's mass,

Answers

An atomic nucleus . . .

-- contains all of the atom's positive charge

-- contains almost all of the atom's mass

-- contains none of the atom's negative charge.

Answer:

An atomic nucleus . . .

-- contains all of the atom's positive charge

-- contains almost all of the atom's mass

-- contains none of the atom's negative charge.

Explanation:

yaaaaaa what the person on top said

ASTRONOMY
Match the following phases of stellar evolution to its characteristics.

*please help me thx*

Answers

Answer:

1. Brown dwarf.

2. Red giant.

3. Black dwarf.

4. White dwarf.

5. Black hole.

Explanation:

A star is a giant astronomical or celestial object that is comprised of a luminous sphere of plasma, binded together by its own gravitational force.

Basically, stars are typically made up of two (2) main hot gas, Hydrogen (H) and Helium (He).

Some of the examples of stars are; Canopus, Sun (closest to the Earth), Betelgeus, Antares, Vega etc.

1. Brown dwarf: does not undergo hydrogen fusion.

2. Red giant: has an outer shell of burning hydrogen and a core of helium.

3. Black dwarf: a white dwarf that has lost all its energy.

4. White dwarf: has a core of carbon that is not massive enough to fuse. A white dwarf also known as degenerate dwarf is a star or an electron degenerate matter and is as massive as the Sun but only about as large in size as planet Earth. Also, the maximum mass of a white dwarf is about 1.4 times the mass of the Sun.

5. Black hole: formed from the collapse of a white dwarf beyond 1.5 solar masses.

Answer:

other person is correct!!!

Explanation:

got 100 on test

What is the force required to stretch a spring whose constant value is 35 N/m by an amount of 0.25 m?

Answers

Answer:

or whatever then look it up it

Explanation:

Draw the Free- Body diagram of the 37 kilogram glass falling to the floor in a vacuum.



Then, use Newton’s Second Law to calculate how much force the glass hits the floor with.

Answers

Answer:

362.6 N

Explanation:

[tex]F_{g}=mg[/tex]

[tex]F_{g}=37\cdot9.8[/tex]

[tex]F_{g}=362.6\ N[/tex]

Therefore, the force that the glass hits the floor with is 362.6 N

A
B
с
4 teaspoons sugar
2 cups water
6 teaspoons sugar
2 cups water
4 teaspoons sugar
3 cups water
Which of these lemonade glasses is the most concentrated for sugar?
Ос

Oa

Answers

6 teaspoons of sugar

A ball of clay is thrown at a wall at a velocity of 28.0 m/s. After it hits the wall, it
takes 0.020 s to stop. What is the acceleration of the clay when it hits the wall?

Answers

Answer:

Explanation:

1400 m/s2

The acceleration of the ball when it hits the vertical wall is -1,400 m/s²

The given expression:

velocity of the ball, v = 28 m/s

time of  motion of the ball, t = 0.02 s

To find:

the acceleration of the ball when it hits the vertical wall.

The acceleration of the ball is calculated as follows:

[tex]acceleration = \frac{\Delta velocity}{\Delta time} = \frac{Final \ velocity\ - \ initial \ velocity }{time} \\\\final \ velocity \ of \ the \ ball \ when \ it \ hits \ the \ wall = 0\\\\acceleration = \frac{0 - 28}{0.02} \\\\acceleration = - \ 1,400 \ m/s^2[/tex]

Thus, the acceleration of the ball when it hits the vertical wall is -1,400 m/s²

Learn more here: https://brainly.com/question/14109204

An Airplane moves 70 m/s as it travels around a vertical circular loop which has a 3 km radius. What is the magnitude of the net force on the 95 kg pilot at the bottom of this loop?

Answers

Answer:

155.17N.

Explanation:

The magnitude of the net force is expressed as;

F = mv²/r where;

m is the mass

v is the velocity of the airplane

r is the radius of the loop

Given

m = 95kg

v = 70m/s

r = 3km = 3000m

Required

Magnitude of the net force

F = 95*70²/3000

F = 95*4900/3000

F = 95*49/30

F = 4655/30

F = 155.17N

Hence the magnitude of the net force on the 95 kg pilot at the bottom of this loop is 155.17N.

The net force on the pilot is 1551.67 N.

What is force?

Force can be defined as the product of mass and acceleration.

To calculate the magnitude of the net force at the bottom of the loop, we use the formula below.

Formula:

F = mv²/r............. Equation 1

Where:

m = mass of the pilotv = velocity of the Airplaner = radius of the loopF = net force on the pilot.

From the question,

Given:

m = 95 kgr = 3 km = 3000 mv = 70 m/s

Substitute these values into equation 1

F = 95(70²)/300F = 465500/300F = 1551.67 N

Hence, the net force on the pilot is 1551.67 N.

Learn more about force here: https://brainly.com/question/13370981

diffine thermodynamics ​

Answers

Answer:

The science of the conversions between heat and other forms of energy is thermodynamics.

Hope it helps :)

Answer:

thermodynamic is the branch of physics that deals with the  relationship between heat and  other forms of energy .it describes  how thermal energy is converted to  other forms  and how it will affect matter.

Explanation:

Nuclear power plants produce energy using:________

a. nuclear fission.
b. nuclear fusion.
c. combustion.
d. critical mass.

Answers

Answer: a. nuclear fission.

Explanation:

Nuclear power plants use heavy materials, like uranium 238, which is bombarded with neutrons. When the neutrons interact with the uranium, there is fission (a division of one atom into smaller ones and other subatomic particles), and in this process, more neutrons are produced. These new neutrons may impact other atoms of uranium and continue with this cycle, generating heat in the process.

Then we can conclude that nuclear power plants produce energy using nuclear fission.

calculate the number of molecules of hydrogen and carbon present in 4 g of methane?​

Answers

Answer: 6.022×10²³ molecules of CH4 which consists of 1 mole of C atoms and 4 moles of H atoms.

An asteroid has acquired a net negative charge of 149 C from being bombarded by the solar wind over the years, and is currently in equilibrium whereby it expels electrons at the same rate as it acquires them. How many more electrons does it have than protons

Answers

Answer:

93.125 × 10^(19)

Explanation:

We are told the asteroid has acquired a net negative charge of 149 C.

Thus;

Q = -149 C

charge on electron has a value of:

e = -1.6 × 10^(-19) C

Now, for us to determine the excess electrons on the asteroid, we will just divide the net charge in excess on the asteroid by the charge of a single electron.

Thus;

n = Q/e

n = -149/(-1.6 × 10^(-19))

n = 93.125 × 10^(19)

Thus, it has 93.125 × 10^(19) more electrons than protons

A rotating space station simulates artificial gravity by means of centripetal acceleration at the rim. The radius of the station is 1156 m and the apparent acceleration of gravity at the rim is 6.13 m/s2. What is the rotation rate of the station in rpm (revolutions per minute).

Answers

a= 1156× 6.13= 7086.28

Explanation:

a = m× m/ s^2

In compressed state, a spring 3.00 meters long hanging from the ceiling has a potential energy of 2.0 joules. If the entire potential energy is used to release a ball of mass

Answers

Answer:

0.068kg

Explanation:

In compressed state, a spring 3.00 meters long hanging from the ceiling has a potential energy of 2.0 joules. If the entire potential energy is used to release a ball of mass

Potential energy is expressed using the formula

PE = mgh

m is the mass

g is the acceleration due to gravity = 9.8m/s²

h is the height =  3.0m

PE = 2.0Joules

Required

Mass of the ball

Substitute the given values into the formula as shown;

2.0 = m(9.8)(3)

2 = 29.4m

m = 2/29.4

m = 0.068kg

Hence the mass of the ball is 0.068kg

A toy car weighing 3.2 N gets pushed a distance of 10 m in 1.3 s. What is the momentum of the car?

Answers

Answer:

2.51 kg * m/s

Explanation:

In order to find momentum, use the equation below:

momentum = mass * velocity.

Since neither mass nor velocity was given, you must solve for both variables.

In order to solve for mass, use the force equation for its weight / gravitational force.

Fg (gravitational force) = 3.2 N = ma = 9.8m

mass = 3.2 N / 9.8 m/s^2 = 0.326531 kg

In order to solve for velocity, use the equation:

velocity = displacement / time

velocity = 10m / 1.3 s = 7.69231 m/s

Momentum = mass * velocity = 0.326531 kg *  7.69231 m/s = 2.51177 kg * m/s = 2.51 kg * m/s

What happens when someone lets go of the button on an electric doorbell?

The electromagnet gets stronger.

The circuit is broken and the electromagnet turns off.

The current moving through the circuit changes direction.

The metal striker hits the bell.​

Answers

Answer:

The current moving through tha circuit changes direction.

Explanation:

hope this helps

The electromagnet is activated. It causes a buzzer to go off. The hammer strikes the bars which creates sound. When you let go, it will stop making a sound by the circuit stop flowing.

What is electromagnet ?

"Electromagnet, device consisting of a core of magnetic material surrounded by a coil through which an electric current is passed to magnetize the core. An electromagnet is used wherever controllable magnets are required, as in contrivances in which the magnetic flux is to be varied, reversed, or switched on and off."

What is Circuit ?

"A circuit is a complete circular path that electricity flows through. A simple circuit consists of a current source, conductors and a load. The term circuit can be used in a general sense to refer to any fixed path that electricity, data or a signal can travel through."

Know more about electromagnet here

https://brainly.com/question/3427992?

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Follow these steps:
A. Place some hot water in the bottom of the bottle and put the ice cube over the opening of the
bottle so that it rests on top and drips into the bottle.
B. Observe carefully what happens over the next 15 minutes. Make a sketch of your experiment
and write down your observations.
Explain your observations using the terms:
condensation
evaporation
solid

Answers

Answer:

is this for a project im a little confused

Answer:

Some of the hot water evaporated and became a gas called water vapor and created condensation on the sides of the bottle. It rose to the top of the solid ice cube and the cold cooled the gas turning it back into a liquid.

Explanation:

Light of intensity So and polarized horizontally passes through three polarizes. The first and third are horizontal, but the second is oriented 0.3927 rad to the horizontal. In terms of So , what is the intensity of the light that passes through the set of polarizers

Answers

Answer: the intensity of the light that passes through the set of polarizers is  0.7285 S₀

Explanation:

based on the data in the question;

As the first polarizer lets all the light through because its plane of polarization is not different from light.

The second polarizer has 2 effects;

firstly, it reduces the intensity by a factor cos²0.3927^c; if you switch the calculator to radians mode, this will give you 0.85355

Secondly; it changes the plane of polarization of the light to be the same as the polarizer; therefore the light now has a plane of polarization of 0.3927 rad to the horizontal.

Hence;

after the second effect, the light enters the third polarizer at 0.3927 rad to the plane of polarization of third polarizer. So the intensity is again reduced by a factor 0.85355.

Therefore

the Overall reduction is by a factor of 0.85355 × 0.85355 S₀

= 0.7285 S₀

Therefore the intensity of the light that passes through the set of polarizers is  0.7285 S₀


PLEASE HELP ME

1) If a bus travelling at 20 m/s is subject to a steady deceleration of 5 m/s2, how long will it
take to come to rest?

Answers

Answer:

Bus will take 4 seconds before it comes to rest.

Explanation:

Initial Velocity  of bus = u = 20 ms⁻¹

Final Velocity of bus = v = 0 ms⁻¹

Deceleration of bus = a = -5 ms⁻²

Time taken by bus before it comes to rest = t = ?

Using the equation formula

a = (v - u)/t

-5 = (0 - 20) / (t)

t = -20/-5

t = 4 sec

Therefore, Bus will take 4 seconds before it comes to rest.

A golfer shoots a ball horizontally off a cliff with a speed of 80.0 m/s, and it lands 471m from the base of the cliff.

1. How long is the golf ball in the air?
2. What is the height of the cliff?
3. What is the golf ball/s speed when it lands?

Answers

Answer:

1. t = 5.89 s

2. h = 170 m

3. Vf = 57.8 m/s

Explanation:

1.

First, we analyze the horizontal motion of the golf ball. Assuming the air friction to be negligible, the horizontal motion will be uniform. So, e can use the following equation:

[tex]s = vt[/tex]

where,

s = horizontal distance covered by the golf ball = 471 m

v = horizontal speed of golf ball = 80 m/s

t = time taken by the golf ball in air = ?

Therefore,

[tex]471\ m = (80\ m/s)t\\\\t = \frac{471\ m}{80\ m/s}\\\\[/tex]

t = 5.89 s

2.

Now, we analyze the vertical motion. Using 2nd equation of motion:

[tex]h = v_{i}t + \frac{1}{2}gt^2[/tex]

where,

h = height of cliff = ?

vi = vertical component of initial speed of ball = 0 m/s(ball was shot horizontally)

g = acceleration due to gravity = 9.81 m/s²

t = time of flight = 5.89 s

Therefore,

[tex]h = (0\ m/s)(5.89\ s) + \frac{1}{2}(9.81\ m/s^2)(5.89\ s)^2[/tex]

h = 170 m

3.

Now, we can use 1st equation of motion:

[tex]v_{f} = v_{i} + gt\\v_{f} = 0 m/s + (9.81\ m/s^2)(5.89\ s)\\[/tex]

Vf = 57.8 m/s

A 5-kg projectile is fired over level ground with a velocity of 200 m/s at an angle of 25
above the horizontal. Just before it hits the ground its speed is 150 m/s. Over the entire trip the
change in the thermal energy of the projectile and air is:

Answers

Answer: 43.8 kJ

Explanation:

Given;

mass of the object, m = 5kg

initial velocity of the projectile, v₁ = 200 m/s

final  velocity of the projectile, v₂ = 150 m/s

To determine the the change in the thermal energy of the projectile and air, we consider change in potential and kinetic enrgy of the projectile. Since the projectile was fired over level ground, change in potential energy is zero.

Then, change in thermal energy of the projectile, KE = Δ¹/₂mv²

KE = Δ¹/₂mv² = ¹/₂m(v₁²-v₂²)

KE =  ¹/₂ × 5(200²-150²) = 2.5(17500) = 43750 J = 43.8 kJ

Therefore, the change in thermal energy of the projectile is 43.8 kJ

NASA's Ames Research Center has a large centrifuge used for astronaut training. The centrifuge consists of a 3880-kg, 18.0-m-long tubular structure, which rotates about its center. Find the centrifuge's rotational inertia when two 105-kg seats are mounted at either end of the tube, 7.92 m from the rotation axis, and both are occupied by 72.6-kg astronauts. Treat the tube as a thin rod and the astronauts and seats as point masses.

Answers

Answer:

I =  1.27×105 kg⋅m2

Explanation:

if the instantaneous current in the circuit is giveen by I=3 sin theta amperes, the rms value of the current will be

Answers

Answer:

[tex]I_{rms}=2.12\ A[/tex]

Explanation:

Given that,

The instantaneous current in the circuit is giveen by :

[tex]I=3\sin\theta\ A[/tex]

We need to find the rms value of the current.

The general equation of current is given by :

[tex]I=I_o\sin\theta[/tex]

It means, [tex]I_o=3\ A[/tex]

We know that,

[tex]I_{rms}=\dfrac{I_o}{\sqrt2}\\\\=\dfrac{3}{\sqrt2}\\\\=2.12\ A[/tex]

So, the rms value of current is 2.12 A.

A man stands on top of a cliff and shouts.
He hears the echo on the third clap when
he claps his hand at the rate of two claps
per second. What is the distance between
man & the obstruction, if the velocity of
sound is 320 m/s

Answers

[tex] \small\bf \: let \: the \: distance \: of \: the \: man \: from \: the \: cliff \: be \: x[/tex]

[tex] \small\bf \: thus \: time \: taken \: by \: sound \: to \: hit \: the \: cilff \: and \: return = \frac{2x}{v} = 1[/tex]

[tex] \bf \to \: x = \frac{320}{2} m = 160m[/tex]

[tex] \small \bf \: thus \: the \: distance \: between \: the \: cliffs \: = 160m \times 2 = 320m[/tex]

The Mars Curiosity rover was required to land on the surface of Mars with a velocity of 1 m/s. Given the mass of the landing vehicle and parachute is 2270 kg, the drag coefficient is effectively 0.5, the atmosphere density is 0.71 that of Earth (take Earth atmosphere density as 1.2 kg/m3), and the Martian gravitational acceleration is 3.689 m/s2, find the required total frontal area (in m2) of the lander plus a parachute to land at the given velocity. Assume the landing vehicle has achieved terminal velocity as it falls through the Martian atmosphere.

Answers

Answer:

The value is      [tex]A = 39315 \ m^2[/tex]

Explanation:

From the question we are told that

    The velocity which the rover is suppose to land with is  [tex]v = 1 \ m/s[/tex]

    The  mass of the rover and the parachute is  [tex]m = 2270 \ kg[/tex]

     The  drag coefficient is  [tex]C__{D}} = 0.5[/tex]

      The atmospheric density of Earth  is  [tex]\rho = 1.2 \ kg/m^3[/tex]

     The acceleration due to gravity in Mars is  [tex]g_m = 3.689 \ m/s^2[/tex]

     

Generally the Mars  atmosphere density is mathematically represented as

          [tex]\rho_m = 0.71 * \rho[/tex]

=>        [tex]\rho_m = 0.71 * 1.2[/tex]

=>        [tex]\rho_m = 0.852 \ kg/m^3[/tex]

Generally the drag force on the rover and the parachute  is mathematically represented as

          [tex]F__{D}} = m * g_{m}[/tex]

=>       [tex]F__{D}} = 2270 * 3.689[/tex]  

=>       [tex]F__{D}} = 8374 \ N[/tex]  

Gnerally this drag force is mathematically represented as

         [tex]F__{D}} = C__{D}} * A * \frac{\rho_m * v^2 }{2}[/tex]

Here A is the frontal area

So  

         [tex]A = \frac{2 * F__D }{ C__D} * \rho_m * v^2 }[/tex]

=>       [tex]A = \frac{2 * 8374 }{ 0.5 * 0.852 * 1 ^2 }[/tex]

=>       [tex]A = 39315 \ m^2[/tex]

A mixture contains salt, sand, pebbles, and grass. Which part of this mixture is soluble in water?

Grass
Pebbles
Salt
Sand

Answers

Answer:

hey!

the answer is

salt

Explanation:

this is due to sand, grass and pebbles are not soluble (they do not dissolve in water)

pls put brainliest

a 15 kg block of substance with specific heat capacity 840J/kg is heated by 15 c.assume its volume change to be negligible by how much its internal energy increases​

Answers

Answer:

Q = 189000 [J]

Explanation:

The internal energy or heat can be calculated by means of the following expression.

[tex]Q=m*c_{p}*DT[/tex]

where:

Q = internal energy or heat [J]

m = mass = 15 [kg]

Cp = 840 [J/kg*°C]

DT = temperature change = 15 [°C]

[tex]Q = 15*840*15\\Q = 189000 [J][/tex]

A(n) 70.1 kg astronaut becomes separated from the shuttle, while on a space walk. She finds herself 41.4 m away from the shuttle and moving with zero speed relative to the shuttle. She has a(n) 0.916 kg camera in her hand and decides to get back to the shuttle by throwing the camera at a speed of 12 m/s in the direction away from the shuttle. How long will it take for her to reach the shuttle

Answers

Answer:

4.4 min

Explanation:

To solve this, we use the law of conservation of momentum

0 = -m(a).v(a) + m(c).v(c), where

m(a) = mass of the astronaut

m(c) = mass of the camera

v(a) = velocity of the astronaut

v(c) = velocity of the camera

Making v(a) subject of the formula, we have

v(a) = m(c).v(c)/m(a)

Now, we make one last assumption, that the astronaut is moving at constant speed and time, thus the time needed will be

t = s/v -> since s = vt

Now, we already have our v from above, so we substitute

t = s/[m(c).v(c)/m(a)]

t = s.m(a)/m(c).v(c)

Applying the values, we have

t = (41.4 * 70.1) / (0.916 * 12)

t = 2902.14 / 10.992

t = 264 seconds or 4.4 minutes

The weight of an astronaut plus his space suit on the Moon is only 319 N. How much (in N) do they weigh on Earth?

Answers

Answer:

The weight of an astronaut plus his space suit on the Earth is 1,931.69 N.

Explanation:

Newton's second law, called the fundamental law or fundamental principle of dynamics, states that a body accelerates if a force is applied to it. This law indicates that the net force applied on a body is proportional to the acceleration that the body acquires. The constant of proportionality is the mass of the body, so Newton's second law is expressed in the following formula:

F = m*a

Where:

F is the net force. It is expressed in Newton (N) m is the mass of the body. It is expressed in kilograms (Kg). a is the acceleration that the body acquires. It is expressed in meters over second squared (m/s²).

The weight of an astronaut plus his space suit on the Moon is only 319 N. Then, being:

F= weight= 319 Nm= ?a = acceleration of the Moon's gravity, whose value is 1.62 m/s²

you get:

319 N= m* 1.62 m/s²

Solving:

[tex]m=\frac{319 N}{1.62 \frac{m}{s^{2} } }[/tex]

m=196.91 kg

The mass is an invariable quantity, regardless of the planet in which the astronaut plus his space suit on the Moon is, then you have:

F= weight= ?m= 196.91 kga = acceleration of the Earth's gravity, whose value is 9.81 m/s²

replacing in the definition of force:

Weight= 196.91 kg* 9.81 m/s²

Weight= 1,931.69 N

The weight of an astronaut plus his space suit on the Earth is 1,931.69 N.

A homeowner wants some insulation blown into her attic. The original quote was for 16 cm of R-17 rated insulation. If she wants the attic insulated to R-44, what thickness (in cm) does she need to use

Answers

Answer: the value of the required thickness is 41.4 cm

Explanation:

Given that;

R1 = 17

R2 = 44

L1 = 16

L2 = ?  

we know that, from thermal conductivity formula

P = 1 / R

P = k / L  

1 / R = k / L    

since k of a distinct material  is constant,

we can take

L / R = constant

L1 / R1 = L2 / R2  

L1R2 = L2R1

L2 = (L1 × R2) / R1  

so we substitute

L2 = (16 × 44) / 17

L2 = 704 / 17

L2 = 41.4 cm  

Therefore the value of the required thickness is 41.4 cm  

In which example would the most transfer of energy take place from Mechanical energy to Thermal (heat) energy?

Question 2 options:

When a feather falls from the sky


When a metal plate is pressing against a fast spinning piece of steel hard enough to stop it


When a skydiver opens her parachute


When a child slides down a waterslide on an innertube

Answers

Answer:The answer is when a metal plate is pressed against a fast spinning piece of steel hard enough to stop it. i know this because I just took a test and got this question and got it write

Explanation:

Other Questions
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