It takes 180 kj of work to accelerate a car from 21.0 m/s to 27.0 m/s. what is the car's mass?

Answers

Answer 1

The car's mass is calculated using the work-energy principle, which equates work done to the change in kinetic energy. The car's mass is found to be 1250 kg after solving the equation with the given work and velocity change values.

To calculate the mass of the car, we first need to recognize that work done on an object is equivalent to the change in its kinetic energy. The work-energy principle states that the work done on an object equals the change in kinetic energy, which can be expressed as Work = ΔKE = 0.5 * m * (vf2 - vi2), where m is the mass of the car, vf is the final velocity, and vi is the initial velocity.

Given that the work done on the car is 180 kJ, and the change in velocity (Δv) is from 21.0 m/s to 27.0 m/s, we have to convert the work into joules by multiplying kJ by 1000. The calculation becomes:

180 kJ * 1000 = 180,000 J

180,000 J = 0.5 * m * (27.02 - 21.02)
180,000 J = 0.5 * m * (729 - 441)
180,000 J = 0.5 * m * 288
180,000 J = 144 * m
m = 180,000 J / 144
m = 1250 kg

Therefore, the mass of the car is 1250 kg.

Related Questions

What is the current when a typical static charge of 0.234~\mu\text{c}0.234 μc moves from your finger to a metal doorknob in 0.595~\mu\text{s}0.595 μs?

Answers

The current is defined as the quantity of charge Q that passes through a certain location in a time [tex]\Delta t[/tex]:
[tex]I= \frac{Q}{\Delta t} [/tex]
Using the data of the problem, we find:
[tex]I= \frac{Q}{\Delta t} = \frac{0.234 \mu C}{0.595 \mu s}=\frac{0.234\cdot 10^{-6} C}{0.595 \cdot 10^{-6} s}=0.39 A [/tex]

Burning magnesium gives us magnesium oxide. This is a example of

Answers

radioactive movement

combustion and oxygen

what causes the end of a star?

Answers

The start likely burned all of its hydrogen fuel and expands in size

Two cars of the same mass have different velocities. Which car has more momentum

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the car with the higher velocity would have a more impactful momentum.

An ebonite (very hard, black rubber) rod is rubbed with the four different substances below. Choose the one that is MOST likely to produce the largest static charge by friction.

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electrons form the atoms f one material may move to the atoms of the other material. The movement of electrons from one atom to another changes the charge of the atoms. When an atom loses electrons, it is left with more protons than electrons, so it then has a positive charge. when an atom gains electrons, it has more electrons than protons so its charge is negative.

__________ helps us adapt to our environment. It also generally __________ with age. A. Plasticity . . . decreases B. Development . . . increases C. Plasticity . . . increases D. Development . . . decreases

Answers

Not sure this is a physics question (probably biology).
Anyway, the correct answer is A):
"Plasticity helps us to adapt to our environment. It also generally decreases with age".
Plasticity is the ability to adapt to the environment. Since this ability is linked with brain functions, and brain functions worsen with age, then plasticity decreases with age.

Answer: A, Plasticity ... decreases

Explanation:

A 2.90 kg mass is pushed against a horizontal spring of force constant 23.0 n/cm on a frictionless air table. the spring is attached to the tabletop, and the mass is not attached to the spring in any way. when the spring has been compressed enough to store 15.0 j of potential energy in it, the mass is suddenly released from rest. part a find the greatest speed the mass reaches. vmax = 3.22 m/s submitmy answersgive up correct part b when does this occur? if not friction acts on it forever. if there is right at the beginning when it is just released. submitmy answersgive up

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A boiling pot of water (the water travels in a current throughout the pot), a hot air balloon (hot air rises, making the balloon rise) , and cup of a steaming, hot liquid (hot air rises, creating steam) are all situations where convection occurs.
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An automobile engine slows down from 4500 rpm to 1600 rpm in 6.0 s. (a) calculate its angular acceleration, assumed constant. 3036.87 incorrect: your answer is incorrect. rad/s2 (b) calculate the total number of revolutions the engine makes in this time. 8700 incorrect: your answer is incorrect. rev

Answers

1) The angular acceleration of the engine is given by:
[tex]\alpha = \frac{\omega _f - \omega _i}{\Delta t} [/tex]
where [tex]\omega _f [/tex] and [tex]\omega _i[/tex] are the final and initial angular velocity of the engine, while [tex]\Delta t[/tex] is the time interval considered.
We need first to convert the velocities from rpm (revolutions per minute) into rad/s. Keeping in mind that
[tex]1 rev=2\pi rad[/tex]
[tex]1min = 60 s[/tex]
The factor of conversion is
[tex]1 \frac{rev}{min} = \frac{2 \pi rad}{60 s} [/tex]
So, the two velocities become
[tex]\omega _i = 4500 rpm \cdot ( \frac{2 \pi rad}{60 s} )=471 rad/s[/tex]
[tex]\omega _f = 1600 rpm \cdot ( \frac{2 \pi rad}{60 s} )=167 rad/s[/tex]
And using [tex]\Delta t=6.0 s[/tex] we can find the angular acceleration of the engine:
[tex]\alpha = \frac{167 rad/s - 471 rad/s}{6.0 s}=-50.7 rad/s^2 [/tex]
where the negative sign means the engine is decelerating.

2) The total number of revolutions is given by the law of angular motion:
[tex]S(\Delta t)= \omega _i \Delta t + \frac{1}{2} \alpha (\Delta t)^2 = (471 rad/s)(6.0 s) + \frac{1}{2}(-50.7 rad/s^2)(6.0 s)=[/tex]
[tex]=1915 rad [/tex]
And keeping in mind that [tex]1 rev=2 \pi rad[/tex], the number of revolutions is
[tex]1915 rad \cdot \frac{1}{2 \pi}=305 rev [/tex]

The angular acceleration of the automobile is 50.62 rad/s².

The total number of revolutions within the given time is 290 revolutions.

Angular acceleration of automobile

The angular acceleration of the automobile is calculated as follows;

[tex]\alpha = \frac{\omega _f - \omega _i}{t} \\\\[/tex]

ωf = 1600 rpm = 167.57 rad/s

ωi = 4500 rpm = 471.3 rad/s

[tex]\alpha = \frac{167.57 - 471.3}{6} \\\\\alpha = -50.62 \ rad/s^2[/tex]

Total number of revolutions in 6 s

N = (4500 rpm - 1600 rpm)

N = 2,900 rpm

N = 2,900 x (6/60)

N = 290 rev

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A 120-meter-long ski ift carries skiers from a station at the foot of a slope to a second station 40 m above. what is the IMA (ideal machincal advantage) of the lift?

Answers

The ideal mechanical advantage (IMA) of an inclined plane is given by:
[tex]IMA = \frac{L}{h} [/tex]
where L is the length of the inclined plane while h is the height.
In our problem, L=120 m and h=40 m. Therefore, the IMA of the ski lift is
[tex]IMA= \frac{120 m}{40 m}=3 [/tex]

FILL IN TUE BLANK WITH ANSWER DOWN BELOW!!! When storm clouds produce lightning and thunder, 1)_________ energy changes to2)______ energy and 3)_______ energy

1) electric potential, gravitational potential, or sound?
2) Chemical, electric potential, or radiant?
3) Chemical, electric potential, or sound?

Answers

Electric potential, Chemical , sound

Answer:

1) electric potential, Radiant Energy(Lightening) , or sound Energy(Thundering)

Explanation:

During lightening we know that clouds are at high electric potential and earth surface is taken at low potential.

Due to this potential difference the charge particles in the atmosphere has tendency to move from high potential to low potential.

Also the moisture present and few dipole gases present in the atmosphere will have tendency to show breakdown and due to this breakdown and motion of charge the phenomenon of lightening occurs.

So here the electric potential energy of charge particles will change and it will convert into sound energy as it produce sound as well as in Radiant energy in form of lightening occurs in the sky.

A block of mass 2.5 kg is attached to a spring with spring constant 150 n/m and slides on a rough, horizontal surface (coefficient of kinetic friction 0.25). the spring is initially extended by a distance of 45 cm from its equilibrium position and released from rest. (a) what is the speed of the block when it is at the equilibrium position of the spring? (b) where does the block stop?

Answers

if a vector a - b = 2c, a + b = 4c and c = 3i + 4j,find a and b

Answers

Ans:
a = 9i + 12j
b = 3i + 4j

Explanation:
We have two equations:

a - b = 2c --- (A)
a + b = 4c --- (B)

and two unknowns:
a = ?
b = ?

Whereas,
c = 3i + 4j

Add equations (A) and (B):
=> a - b = 2c
a + b = 4c
----------------------
2a = 6c

=> a = 3c --- (C)
Put the value of vector c in equation (C):

(C) => a = 3(3i + 4j)
=> a = 9i + 12j

Now that we have vector a, put that vector and vector c in equation (A):
(A)=> (9i + 12j) - b = 2(3i + 4j)

=> b = (9i + 12) - (6i + 8j)
=> b = 3i + 4j

Ans:
a = 9i + 12j
b = 3i + 4j

Select all 3 of the reactants (things needed) necessary for photosynthesis to occur. A. oxygen B. carbon dioxide C. sunlight D. water E. sugar (glucose)

Answers

The answers would be B. carbon dioxide, C. sunlight, and D. water!
Hope this helps!

A solid object heated to 120°C is placed inside a container of water at 33°C. What is the BEST explanation of the resulting change in temperature?
A) The temperature of both the water and solid will decrease.
B) The temperature of the solid will decrease and the water will decrease.
C) The temperature of the water will increase; the temperature of the solid will decrease.
D) The temperature of the water will remain constant; the temperature of the solid will decrease.

Answers

The correct answer is C) The temperature of the water will increase; the temperature of the solid will decrease.

In fact, the solid is at higher temperature, so when it is put inside the water it starts to release heat to the water. As a result, the temperature of the solid decreases, and since the heat is absorbed by the water, the temperature of the water increases. This process continues until the water and the solid reach thermal equilibrium (i.e. until they reach same temperature).

Answer:

its c

Explanation:

i took it

Which statements accurately describe elements? Check all that apply.
Elements are made up of two or more types of atoms.
Elements are made up of only one type of atom.
Each element has a unique chemical symbol.
Elements can be identified by their atomic number.
One element cannot be combined with another element.

Answers

The correct statements are:
- Elements are made up of only one type of atom.
- Each element has a unique chemical symbol.
- Elements can be identified by their atomic number.

In fact, elements are made up of only one tipe of atom, and each of them is identified by a different symbol. Moreover, each element has a different atomic number (number of protons), therefore elements can be identified by their atomic number.

Answer: The correct statements are:

- Elements are made up of only one type of atom.

- Each element has a unique chemical symbol.

- Elements can be identified by their atomic number.

Explanation: and just for a little bit more information about elements.

An element is a pure substance that is made from a single type of atom. Elements are the building blocks for all the rest of the matter in the world. Examples of elements include iron, oxygen, hydrogen, gold, and helium. An important number in an element is the atomic number.

If the initial velocity of the system were not zero, how would this affect your results?

Answers

just try your best best friend everyone

A particle moves at a speed such that its kinetic energy just equals its mass energy. what is the speed of the particle?

a. 3 x 108 m/s;

b. 2.6 x 108 m/s;

c. 2.82 x 108 m/s;

d. 2.3 x 108 m/s

Answers

I believe it is B. I could be wrong though.

A 3.00 kg mud ball has a perfectly inelastic collision with a second mud ball that is initially at rest. the composite system moves with a speed equal to one- third the original speed of the 3.00 kg mud ball. what is the mass of the second mud ball?

Answers

Perfectly inelastic collision is type of collision during which two objects collide, stay connected and momentum is conserved. Formula used for conservation of momentum is:

[tex] m_{1} * v_{1} + m_{2} * v_{2} = m_{1} * v'_{1} + m_{2} * v'_{2}[/tex]

In case of perfectly inelastic collision v'1 and v'2 are same.

We have following information:
m₁=3 kg
m₂=? kg
v₁=x m/s
v₂=0 m/s
v'1 = v'2 = 1/3 * v₁

Now we insert given information and solve for m₂:
3*v₁ + 0*? = 3*1/3*v₁ + m₂*1/3*v₁
3v₁ = v₁ + m₂*1/3*v₁
2v₁ = m₂*1/3*v₁
2 = m₂*1/3
m₂= 6kg

Mass of second mud ball is 6kg.

The gauge pressure for the air in a balloon equals 1.01 x 10^5 Pa. If atmospheric pressure is equal to 1.01 x 10^5 Pa, what is the absolute pressure of the air inside the balloon?

a.

0 Pa

b.

5.05 x 10^4 Pa

c.

1.01 x 10^5 Pa

d.

2.02 x 10^5 Pa

Answers

Absolute Pressure = Atmospheric Pressure + Gage Pressure

Absolute Pressure = 1.01 x 10^5 Pa + 1.01 x 10^5 Pa = D. 2.02 x 10^5 Pa

Answer:

D. 2.02 x [tex]10^{5}[/tex] Pa

Explanation:

The gauge pressure is the pressure measured relative to the atmospheric pressure.

Absolute pressure (or total pressure), is the sum of the gauge pressure and the atmospheric pressure. i.e

[tex]P_{ABS}[/tex] = [tex]P_{G}[/tex] + [tex]P_{ATM}[/tex]

Where;

[tex]P_{ABS}[/tex] = absolute pressure

[tex]P_{G}[/tex] = gauge pressure = 1.01 x [tex]10^{5}[/tex]Pa (from the question)

[tex]P_{ATM}[/tex] = atmospheric pressure = 1.01 x [tex]10^{5}[/tex]Pa

Substitute these values into the equation above;

[tex]P_{ABS}[/tex] = [tex]P_{G}[/tex] + [tex]P_{ATM}[/tex]

[tex]P_{ABS}[/tex] = 1.01 x [tex]10^{5}[/tex] + 1.01 x [tex]10^{5}[/tex]

[tex]P_{ABS}[/tex] = 2.02 x [tex]10^{5}[/tex] Pa

Therefore, the absolute pressure of the air inside the balloon is 2.02 x [tex]10^{5}[/tex] Pa

Based on their locations on the periodic table, which best compares the properties of the metalloids arsenic (As) and antimony (Sb)?

Answers

Arsenic has a more nonmetallic behavior than antimony because arsenic's atoms have fewer electron shells.

If vx = 7.90 units and vy = -6.50 units, determine (a)the magnitude and (b)direction of v

Answers

a) To find the magnitude of the resultant, we can apply Pythagorean theorem, because vx and vy are the two sides of a rectangle triangle, of which the resultant v is the hypothenuse:
[tex]v= \sqrt{v_x^2+v_y^2}= \sqrt{(7.90)^2+(6.50)^2}=10.2 units [/tex]

b) To find the direction (the angle with respect to the horizontal), let's keep in mind that the tangent of the angle is equal to the ratio between the opposite side and the adiacent side:
[tex]\tan \alpha = \frac{v_y}{v_x}= \frac{-6.50}{7.90}=-0.82 [/tex]
From which we find
[tex]\alpha = arctan (-0.82)=-39.4 ^{\circ}[/tex]

A culture is a group of people that share the same __________.
A. development goals
B. professions and work
C. beliefs and behaviors
D. philosophies and religion

Answers

The correct answer is: [C]: "beliefs and behaviors" .
_________________________________________________
This would include "philosophies and religion" [which is "Choice: [D]" ) ; however, "Choice : [C]: "beliefs and behaviors" is the correct answer; since "Choice: [C]" is completer and more comprehensive.
__________________________________________________

For a temperature increase of Î´t1, a certain amount of an ideal gas requires 30 j when heated at constant volume and 50 j when heated at constant pressure. how much work is done by the gas in the second situation?

Answers

Work done by the ideal gas in the second situation is 20 Joule.

We know that amount of energy given to a ideal gas is distributed in it to increase its internal energy and to work done by increasing it volume.

Mathematically:

energy given to a ideal gas (dQ) = Increase in internal energy (dU) + work done (dW).

Now in this question: a certain amount of an ideal gas requires 30 j when heated at constant volume. So, this energy is used to increase internal energy (as no volume change occurs).

So, dQ₁ = dU = 30 Joule.

When heated at constant pressure, the certain amount of an ideal gas requires 50 J. So, this energy is used to increase internal energy and work done.

So, dQ₂ = dU + dW

⇒ dW = dQ₂ - dU = 50 Joule - 30 joule = 20 Joule.

Hence, work is done by an amount 20 joule by the ideal gas in the second situation.

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To recharge a 12 v battery, a battery charger must move 3.3 × 105 c of charge from the negative terminal to the positive terminal. how much work is done by the battery charger? answer in units of j

Answers

Work done is calculated by change * potential difference
in equation it means: W = Q * V

since the 2 terminals have now dq charge and (V) potential difference

small work done (dW) = V dq
total work done W = V Q = 12 * 3.3*10^5 = 3.96 *10^6 Joules which is approximately 4 mega joules

To calculate the work done by the battery charger, multiply the charge moved (3.3 × [tex]10^5[/tex] C) by the voltage (12 V). The result is 3.96 × [tex]10^6[/tex] J.

To find out how much work is done by the battery charger, we use the relationship between electrical potential difference (voltage), charge, and work. The work done, W, when moving a charge, Q, through a potential difference, V, is given by the equation:

W = Q × V

Here, the battery charger must move 3.3 × [tex]10^5[/tex] C of charge (Q) through a potential difference of 12 V (V). Substituting these values into the equation gives:

W = 3.3 × [tex]10^5[/tex] C × 12 VW = 3.96 × [tex]10^6[/tex] J

Therefore, the work done by the battery charger is 3.96 × [tex]10^6[/tex] J.

A 1 ev electron has a 10-4 "probability of tunneling through a" 2.0 ev "potential barrier. what is the probability of a" 1 ev "proton tunneling through the same barrier

Answers

if the object, ends up with a positive charge, then it is missing electrons. if it is missing electrons, then it must have been removed form the object during the rubbing process.

Recall that the blocks can only move along the x axis. the x components of their velocities at a certain moment are v1x and v2x. find the x component of the velocity of the center of mass (vcm)x at that moment. keep in mind that, in general: vx=dx/dt. express your answer in terms of m1, m2, v1x, and v2x.

Answers

The center of mass is given with this formula:
[tex]x_c=\frac{\sum_{n=1}^{n=i}m_ix_i}{M}[/tex]
Velocity is:
[tex]v=\frac{dv}{dt}[/tex]
So, for the velocity of the center of mass we have:
[tex]\frac{dx_c}{dt}=\frac{\sum_{n=1}^{n=i}d(m_ix_i)}{Mdt}\\ v_c=\frac{\sum_{n=1}^{n=i}p_i}{M}\\[/tex]
In our case it is:
[tex]v_{xc}=\frac{m_1v_{x1}+m_2v_{x2}}{m_1+m_2}[/tex]

Final answer:

The x component of the center of mass velocity is calculated as the momentum-weighted average of the individual blocks' velocities, using the formula (m1*v1x + m2*v2x) / (m1 + m2).

Explanation:

To find the x component of the velocity of the center of mass (vcm)x, we use the formula for the center of mass velocity in one dimension, which is given by:

(vcm)x = (m1*v1x + m2*v2x) / (m1 + m2)

This equation reveals that the center of mass velocity is the momentum-weighted average of the velocities of the individual blocks. Since momentum is mass times velocity, the product m1*v1x is the momentum of block 1 in the x direction, and m2*v2x is the momentum of block 2 in the x direction. The sum of these momenta gives the total momentum in the x direction. By dividing this sum by the total mass (m1 + m2), we obtain the velocity of the center of mass in the x direction.

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The part of the flower responsible for producing pollen (sperm) is the _______. A. stigma B. anther C. style D. filament

Answers

the answer to ur question is B

An element which has strong intermolecular forces is most likely to have
a. a boiling point below room temperature
b. a melting point below room temperature
c. a boiling point very close to its melting point
d. a very high melting point

Answers

an element like that would have have a molecular structure that has a high tolerance to heat, so the correct answer is D

According to the forces of attraction, an element which has strong inter molecular forces is most likely to have a very high melting point.

What are forces of attraction?

Forces of attraction is a force by which atoms in a molecule combine. it is basically an attractive force in nature. It can act between an ion and an atom as well.It varies for different states of matter that is solids, liquids and gases.

The forces of attraction are maximum in solids as the molecules present in solid are tightly held while it is minimum in gases as the molecules are far apart . The forces of attraction in liquids is intermediate of solids and gases.

The physical properties such as melting point, boiling point, density are all dependent on forces of attraction which exists in the substances.

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A 1200-kg ore cart is rolling at 10.8 m/s across a flat friction-free surface. a crane suddenly drops of ore vertically into the cart. how fast does the cart move just after being loaded with the ore?

Answers

The value of the final speed depends on the mass of the ore.

Let's call m the mass of the ore. We can solve the exercise by requiring the conservation of momentum, which must be the same before and after the ore is loaded.

Initially, there is only the cart, so the momentum is
[tex]p=Mv=(1200 kg)(10.8 m/s)=12960 kg m/s[/tex]
After the ore is loaded, the new mass will be (1200 kg+m), and the new speed is [tex]v_f[/tex]. The momentum p is conserved, so it is still 12960 kg m/s. Therefore, we have
[tex]p=12960 kg m/s =(1200 kg+m)v_f[/tex]
and so the final speed is
[tex]v_f = \frac{12960 kg m/s}{1200 kg +m} [/tex]

) a charge of 6.15 mc is placed at each corner of a square 0.100 m on a side. determine the magnitude and direction of the force on each charg

Answers

Because charges are positioned on a square the force acting on one charge is the same as the force acting on all others.
We will use superposition principle. This means that force acting on the charge is the sum of individual forces. I have attached the sketch that you should take a look at.
We will break down forces on their x and y components:
[tex]F_x=F_3+F_2cos(45^{\circ})[/tex]
[tex]F_y=F_1+F_2sin(45^{\circ})[/tex]
Let's figure out each component:
[tex]F_1=\frac{1}{4\pi \epsilon}\frac{q^2}{a^2}\\ F_3=\frac{1}{4\pi \epsilon}\frac{q^2}{a^2}\\[/tex]
[tex]F_2=\frac{1}{4\pi \epsilon}\frac{q^2}{(\sqrt{2}a)^2}[/tex]
Total force acting on the charge would be:
[tex]F=\sqrt{F_x^2+F_y^2}[/tex]
We need to calculate forces along x and y axis first( I will assume you meant micro coulombs, because otherwise we get forces that are huge).
[tex]F_x=F_3+F_2cos(45^{\circ})=\frac{1}{4\pi \epsilon}\frac{q^2}{a^2}+\frac{1}
{4\pi \epsilon}\frac{q^2}{(\sqrt{2}a)^2}\cdot\cos(45)=46N[/tex]
[tex]F_y=\frac{1}{4\pi \epsilon}\frac{q^2}{(\sqrt{2}a)^2}\cdot sin(45)+\frac{1}{4\pi \epsilon}\frac{q^2}{a^2}=46N[/tex]
Now we can find the total force acting on a single charge:
[tex]F=\sqrt{F_x^2+F_y^2}=\sqrt{46^2+46^2}=65N[/tex]
As said before, intensity of the force acting on charges is the same for all of them.

Final answer:

The magnitude and direction of the force between each pair of charges can be determined using Coulomb's Law.

Explanation:

The magnitude of the force between two charges can be determined using Coulomb's Law. In this case, we have four charges placed at the corners of a square. Since the charges are the same (6.15 mc), the force between each pair of charges will have the same magnitude. Let's label the charges as q1, q2, q3, and q4. The force between q1 and q2 is given by:

F12 = (k * q1 * q2) / r^2

where k is the Coulomb's constant (8.988 × 10^9 N m^2/C^2) and r is the distance between the charges (0.100 m). The direction of the force will be repulsive, since the charges have the same sign.

Using this formula, we can calculate the magnitude and direction of the force for all pairs of charges.

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