Does speed increase down a ramp?

Answers

Answer 1

The speed depends on the gravitational force acting on the object in the rolling motion of the object that is acting on it at a continuous moment rate. the speed increases at a constant rate.

Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.

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Related Questions

What is a marine zone? Thats all I need thank you :)

Answers

Answer:
For this I believe that your working on Ocean layers in science physics
There are actually 5 ocean zones or layers. (here they are in order)
1. Sunlight zone
2. Twighlight zone
3. Midnight zone
4. Abyssal Zone
5. Hadal zone
As a rephrase of the question I believe you meant to say
What are the marine zones?
Please correct me if wrong!!

A full stop means that there is a complete cessation of the forward movement of the vehicle, or _________ with no forward motion.

Answers

A full stop means that there is a complete cessation of the forward movement of the vehicle, or stop with no forward motion.

If two or more automobiles arrive at a four-way stop at the same time, the car to the right shall proceed first. "If two or more automobiles arrive at a four-way stop at the same moment, the car on the right shall proceed first."

Your headlights will allow you to see roughly 400 feet ahead of you. You should travel at a speed that permits you to stop within this distance, which is around 50 miles per hour.

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A 10.0-g bullet is fired into a stationary block of wood having mass m 5 5.00 kg. The bullet imbeds into the block. The speed of the bullet-plus-wood combination immediately after the collision is 0.600 m/s. What was the original speed of the bullet

Answers

The original speed of the bullet was 300.6 m/s.

What is the best meaning of mass?

A measure of the amount of matter contained in or constituting a physical body. In classical mechanics, the mass of an object is related to the force required to accelerate it and hence is related to its inertia, and is essential to Newton's laws of motion.

Given:

mV bi​ +MV wi​ =mV b​ +M Vwf​

where m= mass of bullet =10 g=10^−2 ∣kg

M= mass of wood block =5 kg

V bI​ = initial mass of bullet

Vwi​ = initial mass of wood block and V bf​ =V wf​  

=0.06 m/s 10 −2 Vbi+0(10 −2 +5)0.6 V

bi​ = 10 −2 5.01×0.6​ V

bi​ =300.6 m/s

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If you pound a feather with a hammer, which one feels a greater force? a. always the hammer both feather moves, then it felt the greater force. b. therwise the force the same on both. c. always the feather d. The size of the force is always exactly the same on both of them.

Answers

If you pound a feather with a hammer, which one feels a greater force always the hammer both feather moves, then it felt the greater force.

What is the force?
Force is an influence that produces a change in the motion of an object. It is measured in units of mass times acceleration, or newtons (N). Force is a vector quantity, meaning it has both magnitude and direction. Force can cause an object to accelerate, decelerate, remain in motion, change direction, or alter shape. Examples of forces include gravity, friction, tension, and magnetism. Forces can also be generated by electrical, thermal, and nuclear energy. All forces are generated by the interaction of two objects and can be balanced or unbalanced. Unbalanced forces will cause an object to move or accelerate and balanced forces will cause an object to remain stationary or in motion at a constant speed.

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Two charged particles are located on the x axis. The first is a charge +Q at x = -a. The second is an unknown charge located at x = +3a. The net electric field these charges produce at the origin has a magnitude of 2keQ / a2. What are the two possible values of the unknown charge?

I honestly have absolutely no idea where to begin solving this problem. I know the equation for the electric field (kQ/r2), but I have no idea how to work with the information given to get a net electric force. Can anyone show me where to start?

Answers

Two charged particles are located on the x axis.

What are charged particles?

Charged particles are particles that have either a positive or negative electrical charge. These particles can be found in many forms in nature, such as electrons, protons, and ions. These particles are a key component of electricity, and can be used as a source of energy. Charged particles can be found in atoms and molecules, where they interact with other particles and affect their behavior. They can also be found in plasma, a state of matter that is made up of ions and electrons.

1. Start by writing out the equation for the electric field at the origin:

E = (kQ)/r^2

2. Substitute in the values for Q, k, and r, and solve for the unknown charge:

E = (2keQ)/a^2

E = (2k(+Q))/(3a)^2

+Q = (2kE)/(3a)^2

Since the electric field has a magnitude of 2keQ / a2, the unknown charge can be either positive or negative:

+Q = ±(2kE)/(3a)^2

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Which of these situations describe the motion shown in the motion diagram at point a?
consider the following situations:
a car is moving along a straight road at a constant speed.
a car is moving along a straight road while slowing down.
a car is moving along a straight road while speeding up.
a hockey puck slides along a horizontal icy (frictionless) surface.
a hockey puck slides along a rough concrete surface.
a cockroach is speeding up from rest.
a rock is thrown horizontally; air resistance is negligible.
a rock is thrown horizontally; air resistance is substantial.
a rock is dropped vertically; air resistance is negligible.
a rock is dropped vertically; air resistance is substantial.

Answers

The right response is a hockey puck slides along a horizontal icy frictionless surface and as a car is going along a straight road at a constant pace, according to the motion diagram.

The car is shown in the diagram starting at point a. The arrows remain pointing in the same way. This indicates that the thing is travelling directly forward. The arrows stay stationary at A. This indicates that the thing is travelling continuously.

The speed of the puck is not impacted by friction while it is moving on an ice rink surface. So, it is reasonable to suppose that it is moving at a constant speed before to impact.

The work done is zero only if there is no non-conservative force, such as friction, because the kinetic energy does not vary and the car is going along a straight, horizontal road. The work done will be force into displacement if there is friction.

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A 2kg object is moving with speed 5ms. then hits a
wall in 0.5s before reversing its direction with a speed of 2ms
a. Calculate the impulse​

Answers

Given :

A 2kg object is moving with speed 5m/s. then hits a  wall in 0.5s before reversing its direction with a speed of 2m/s.

To Find :

The impulse.

Solution :

Impulse can be calculated by change in momentum :

[tex]I = mv_f - mv_i\\\\I = 2\times( -2 + 5 )\ kg \ m/s\\\\I = 6 \ kg \ m/s[/tex]

Therefore, the impulse is 6 kg m/s.

The largest meteorite of lunar origin reportedly has a mass of 19 g. If the meteorite placed on a scale whose spring constant is 83 N/m, what is the compression of the spring

Answers

According to reports, the biggest meteorite with lunar origin weighs 19 g. If the meteorite placed on a scale whose spring constant is 83 N/m, 0.22 m is the compression of the spring.

We can use Hooke's Law to calculate the compression of the spring caused by the meteorite. Hooke's Law states that the force exerted on a spring is directly proportional to the spring's compression or extension.

= F

= k * x

where F is the force (in newtons), k is the spring constant (in N/m), and x is the compression (in meters).

Given the mass of the meteorite is 19 g and the spring constant is 83 N/m, the force exerted on the spring can be calculated as

= F

= (mass of the meteorite) * g

= (19 g) * (9.8 m/s^2)

The compression of the spring can be found by rearranging Hooke's Law and substituting in the force and spring constant

x = F/k

x = (19 * 9.8) / 83

x = 0.22 m

The compression of the spring caused by the meteorite is 0.22 m.

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Coolant is forced through the engine and other system parts by the _____. [ Choose ] The _____ transfers engine coolant heat to the outside air. [ Choose ] Coolant flow and engine operating temperature are controlled by the _____. [ Choose ] _____ is mixed with water to produce the engine coolant. [ Choose ] A(n) _____ permits coolant circulation through the engine when the thermostat is closed. [ Choose ] The fan switch, or _____, is a temperature-sensitive switch that controls fan motor operation. [ Choose ] The engine is connected to the radiator by the _____. [ Choose ] The _____ draws air through the radiator. [ Choose ] A disc with fan-like blades that spins and produces pressure and flow is known as a(n) _____. [ Choose ] The center section of the radiator made up of tubes and cooling fins is called the _____.

Answers

Answer:

1. Water pump

2. Radiator

3. Thermostat

4. AntiFreeze

5. Bypass Valve

6. Thermo switch

7. Radiator hoses

8. Fan

9. Water Pump Impeller

10. Core

Explanation:

Based on Cooling System Fundamentals, we have the following;

1. Coolant is forced through the engine and other system parts by the WATER PUMP.

2. The RADIATOR transfers engine coolant heat to the outside air.

3. Coolant flow and engine operating temperature are controlled by the THERMOSTAT.

4. ANTIFREEZE is mixed with water to produce the engine coolant.

5. A(n) BYPASS VALVE permits coolant circulation through the engine when the thermostat is closed.

6. The fan switch, or THERMO SWTICH is a temperature-sensitive switch that controls fan motor operation.

7. The engine is connected to the radiator by the RADIATOR HOSES.

8. The FAN draws air through the radiator.

9. A disc with fan-like blades that spins and produces pressure and flow is known as a(n) WATER PUMP IMPELLER

10. The center section of the radiator made up of tubes and cooling fins is called the CORE.

To ensure your battery's longevity, you should keep the area where cables are connected to the positive and negative poles clean. T/F

Answers

True. Keeping the terminals and cable connections clean helps to ensure a good electrical connection, which can prolong the life of the battery.

Keeping the terminals and cable connections of a battery clean is important for prolonging the battery's life. Dirt, corrosion, or other buildup on the terminals can create resistance in the circuit, which can lead to overheating and damage to the battery. This can cause the battery to charge and discharge less efficiently, reducing its overall capacity and lifespan. To clean the terminals, you can use a wire brush or a toothbrush with baking soda and water to scrub away any corrosion. Then, dry the terminals and cables thoroughly before reconnecting them to the battery. This will ensure a good electrical connection and a longer-lasting battery.

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if you reverse the poles of battery what will happen to the direction Of the lines?

Answers

Answer: The battery casing will explode

Explanation: Hydrogen gas will be released because of the heat which may cause an explosion.

how many electrons are on the move in a circuit where a current of 2.0 A flows for 2.0 minutes?

Answers

The number of electrons that move in a circuit where a current of 2.0 A flows for 2.0 minutes will be [tex]1.5X10^2^2[/tex]. The correct option is C.

What is current?

Electrical charge carriers, often electrons or atoms deficient in electrons, travel as current. The capital letter I is a typical way to represent current.

A current of 2A passes through a wire for 20 minutes. The number of electrons that crossed the cross-section in this period is

Given that,

Current =2A

Time t= 20min = 20×60s

Let,

n and e be the number and charge of electrons in time t.

So,

The total charge, q(say) in the wire is

q = ne

Hence, the current flowing in time t is

I = q/t

I = ne/t

n = It/e

[tex]n=\frac{2(20X60)}{1.6X10^{-19}} \\\\n=\frac{2400}{1.6X10^{-19}}\\\\n=1.5X10^{22}[/tex]

Thus, the answer is [tex]1.5X10^2^2[/tex], means the correct option is C.

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Your question seems incomplete, the missing options are:

[tex]1.5X10^{21}\\\\1.5X10^{20}\\\\1.5X10^{22}\\\\1.5X10^{21}\\\\1.5X10^{23}[/tex]

Question 912 points Two hydrogen isotopes fuse to form hellum, as shown below. The mass of helium is 3.12 hydrogen atoms. Select the equation you would use to determine how much energy was * 108 m/s H+, H He+energy O E-0.12 x 10-kg)x3 x 108 m/sp? O E=3.12 x 10 kg) x 108 m/s??​

Answers

Yess the answer is 288366882
Sorrrryyyy just need some points

Assume that you have a mass of 50.0 kg. Earth has a
mass of 5.97 X1024 kg and a radius of 6.38X 10 m.
What is the force of gravitational attraction
between you and Earth?

Answers

The force of gravitational attraction is 489.18N

Gravitation is a study of how two masses interact, one of which is heavier and the other lighter, and force is the force that attracts all bodies towards itself in this universe. Gravitational force is a central force that is exerted along the line joining the q of two masses, and the direction of that force depends only on their position with respect to the source mass.Gravitational force: The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them.

                                          [tex]F = \frac{Gm_{1} m_{2} }{r^{2} }[/tex]

 

Where,

F is the gravitational force between two bodies

m1 is the mass of the first body = 50 Kg

m2 is the mass of the second body = [tex]5.97 * 10^{24} Kg[/tex]

r is the distance between the centres of two bodies = [tex]6.38 * 10^{6} m[/tex]

G = gravitational constant = [tex]6.67 * 10^{-11}[/tex]

Putting these values in above equation we get: F = 489.18N

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In an 11v11 adult game, I see a defender challenge for the ball. The defender misses the ball and with their momentum they accidentally but careelessly trip the opponent. The ball rolls over the touchline. What is the restart

Answers

For the Direct free kick, the game restarted.

What does a soccer direct free kick entail?

There are two different kinds of free kicks used in soccer: direct and indirect.The term "direct free kick" refers to a kick that can be used as a direct strike.Indirect free kicks require a second touch before the ball can be used as a shot at goal.

A direct penalty kick is what?

If a player attacks an opponent in a way that the referee deems to be irresponsible, reckless, or employing excessive force, the referee will award a direct free kick.jumps, kicks, or makes an attempt to kick.

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which force affect the aeroplane and ship​

Answers

Explanation:

the force effect the aeroplane and ship are Gravity and drug

Answer:

The answer is GRAVITY and DRUGS

Explanation:

Hope you have a good day :)

A lever is used to lift an object with a weight of 60 Newtons. The effort force is 15 meters from the fulcrum, while the load force is 5 meters from the fulcrum. What is the mechanical advantage?

Answers

Answer:

Below

Explanation:

Mech adv = effort arm / load arm = 15 / 5 = 3

To solve this we must be knowing each and every concept related to force. and its different types. Therefore,  the mechanical advantage is 3.

What is force?

A force is an outside entity that has the power to alter a body's state of rest or motion. It has a direction and a magnitude. The point where forces are applied is determined either by the force's direction as well as the application of the force.

Your training at this level should place a major emphasis on the idea which a push or even a pull was refereed to as a force. In our daily lives, forces appear in a variety of ways. as in weight and power. It refers to the force a bat applies to a ball and the strength a hairbrush has when stroking hair.

Mech adv = effort arm / load arm = 15 / 5 = 3

Therefore,  the mechanical advantage is 3.

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Elliot is going to start strength training at home. He does not have any weights and is
brand new to strength training but is young and healthy. What would be a good
household object to use to for strength training? (1 point)
O a can of soup
O a box of tissues
O a gallon of water
O a paperback book

Answers

Answer:

A gallon of water would be a good household object to use for strength training.

Explanation:

Gallon jugs of water typically weigh around 8.3 lbs, which can provide a good amount of resistance for strength training exercises such as bicep curls, shoulder presses, and tricep dips. Additionally, the handle on the jug of water makes it easy to grip and use for various exercises. Cans of soup and boxes of tissues are generally too light to provide enough resistance for strength training, and a paperback book may not be sturdy enough to use for certain exercises.

Write a complete scientific explanation to account for why the heavier ball caused more flour to spread out

Answers

When a ball moves with faster velocity, then a greater impulse force is Imparted that causes more flour to spread out.

The momentum of a system remains constant unless the system is acted on by an external force in which case the acceleration of center of mass satisfies. The force on a system of particles is the external force because the internal force is zero.

The external force is equal to the change in momentum of the system and is proportional to the acceleration of the center of mass. For a fixed choice of system, if there are no external forces acting on the system then the momentum of the system is constant is constant.

The external force may be zero in one direction but not others. The component of the system momentum is constant in the direction that the external force is zero. The component of system momentum is not constant in a direction in which external force is not zero.

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The diagram pictured shows a loop of wire being rotated at a constant rate about an axis in a uniform magnetic field.
Axis of
rotation
N
S
Wire
loop
Which of the following would increase the current induced in the loop of wire ?
decrease the number of loops in the coil of wire
reverse the direction of the batteries
o increase the speed of rotation of the loop of wire
decrease the strength of the magnetic field

Answers

the rotation is probably n

Select the correct anwer from each drop-down menu. When a looe brick i reting on a wall, it ha
[ Select ]
(. )kinetic (. )potential (. )both kinetic and potential energy. When the brick i puhed off the wall and i falling down, the amount of
[ Select ]
(. )kinetic (. )potential (. )both kinetic and potential energy i decreaing while the amount of
[ Select ]
(. )kinetic (. )potential (. )both kinetic and potential energy i increaing

Answers

When a loose brick is resting on a wall, it has potential energy. When the brick is pushed off the wall and is falling down, the amount of potential energy is decreasing while the amount of kinetic energy is increasing.

Kinetic energy is motion––of waves, electrons, atoms, molecules, substances, and objects. Potential energy is stored energy and the energy of position––gravitational energy. There are several forms of potential energy.

Conservation of energy is not saving energy. The law of conservation of energy says that energy is neither created nor destroyed. When we use energy, it doesn’t disappear. We change it from one form of energy into another.

A car engine burns gasoline, converting the chemical energy in gasoline into mechanical energy. Solar cells change radiant energy into electrical energy. Energy changes form, but the total amount of energy in the universe stays the same.

Energy efficiency is the amount of useful energy you get from a system. A perfect, energy-efficient machine would change all the energy put in it into useful work—an impossible dream. Converting one form of energy into another form always involves a loss of usable energy.

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A sealed cylinder of length l and cross sectional area A contains n molecules of an gas at kelvin temperature T. What is the force acting on the cylinder marked A due to the gas?
A. NRT/l
B. NRT/lA
C. NkBT/lA
D. NkBT/l

I know it has to be option D but I have no idea how to get to that answer.

Answers

At kelvin temperature T, cylinder A includes n molecule of a gas, and the force exerted by the gas on the cylinder is NkBT/l.

Force is what?

When two bodies interact, it refers to any form of pushing or pulling that one body exerts on the other. A vector quantity, that is. For instance, a person pushes or pulls on something to provide force, such as opening a door.

What variety of forces exist?

Contact forces that act at a remove forces are the two different types of forces. Your daily use of force is evident. Basically, pressure and pull are forces.

Briefing:

Formulas,

-P = F/A

-n = n/Na

-PV = nRT

= NKT (R = KNa)

- Volume of cylinder: A* l

F=PA

P = NKbT / V

P = NKbT / A* l

F = NkBT / A * l (A)

Cross out A,

Final, F = NkBT/l.

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Particles q1 = -8.99 uC, q2 = +5.16 uC, and q3 = -89.9 uC are in a line. Particles q1 and q2 are separated by 0.220m and particles q2 and q3 are separated by 0.330m. What is the net force on particle q1?

Answers

Answer: -39200.45 Nm^2/C^2       This is rough work

Explanation:

So, the net force will be felt on particle [tex]\sf{q_1}[/tex] approximately 15.39 N to the right.

Introduction

Hi! Here I will explain the net force of three charges that interacts. Remember that this question can be solved using Coulomb's Law. Coulomb's Law states that the interaction force between two interacted charges will be proportional to the magnitude of the charges that have specific interaction but inversely proportional to the square of the value of the distance between each other. So, with this concept, we can calculate the magnitude of coulomb force with this equation:

[tex] \boxed{\sf{\bold{F = k \cdot \frac{q_1 \cdot q_2}{(r_{12})^2}}}} [/tex]

Formula Used

On this condition, the net force will be felt only by the first charge, so we must define the position of the first charge as a fixed one. So, we can calculate the magnitude of coulomb force concerning the first charge with this equation:

[tex] \boxed{\sf{\bold{\sum F_{q1} = k \cdot (\frac{q_1 \cdot q_2}{(r_{12})^2} + \frac{q_1 \cdot q_3}{(r_{13})^2})}}} [/tex]

With the following condition:

[tex] \sf{\sum F_{q1}}[/tex] = the net force will be felt by the first charge (N)k = constant of coulomb ≈ [tex] \sf{9 \times 10^{9}}[/tex] N.m²/C².[tex] \sf{q_1}[/tex] = first charge (C)[tex] \sf{q_2}[/tex] = second charge (C)[tex] \sf{q_3}[/tex] = third charge (C)[tex] \sf{r_{12}}[/tex] = the distance between first and second charge (m)[tex] \sf{r_{13}}[/tex] = the distance between first and third charge (m)Problem SolvingWe know that:[tex] \sf{q_1}[/tex]= first charge = -8.99 [tex] \sf{\mu C}[/tex] = [tex] \sf{-8.99 \times 10^{-6}}[/tex] C.[tex] \sf{q_2}[/tex]= second charge = +5.16 [tex] \sf{\mu C}[/tex] = [tex] \sf{+5.16 \times 10^{-6}}[/tex] C.[tex] \sf{q_3}[/tex]= third charge = -89.9 [tex] \sf{\mu C}[/tex] = [tex] \sf{-8.99 \times 10^{-5}}[/tex] C.[tex] \sf{r_{12}}[/tex] = the distance between first and second charge = 0.220 m = [tex] \sf{2.2 \times 10^{-1}}[/tex] m.[tex] \sf{r_{13}}[/tex] = the distance between first and third charge = 0.220 + 0.550 m = [tex] \sf{5.5 \times 10^{-1}}[/tex] m.What was asked?[tex] \sf{\sum F_{q1}}[/tex] = the net force will be felt by the first charge = ... NStep by Step:

[See the attached image to know how to solve this problem]

Conclusion:

So, the net force will be felt on particle [tex]\sf{q_1}[/tex] approximately 15.39 N to the right.

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When you step on the break, the car engine rotation rate decreases from 10 rad/s to 6.3 rad/s in 5.0 s. What is the magnitude of the average angular acceleration

Answers

The average angular acceleration has a value of 0.74 rad/s2.

What leads to a reduction in angular speed?

Applying a force tangential to the rim and in the direction of the instantaneous velocity of the piece of the rim you are applying the force to will most likely increase the angular speed. Reversing the direction of the force will slow down the angular speed.

What are the positions of and when rotation is accelerating?

(rad/s)/s or rad/s2 are the units of angular acceleration. If rises, is a positive number. is negative if it decreases. Remember that the positive direction is counterclockwise and the negative direction is clockwise.

F = m r α . τ=mr2α. τ = m r 2 α

initial rotaton speed=10rad/s

final speed=6.3rad/s

time=5sec.

α=(10-6.3)/5 =.74rad/s

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calculate the current,if charges is 100c pass through ​

Answers

Answer:

An amp is one C per second. Two minutes is 120 seconds. So current is 10 C/120 sec which is 1/12 th of an Amp.

Marissa’s car accelerates at an average rate of 3. 6 m/s2. Calculate how long it takes her car to accelerate from 26. 4 m/s to 28. 6 m/s

Answers

It will take 1.5 seconds for Marissa's car to accelerate from 26. 4 m/s to 28. 6 m/s.

Acceleration can be calculated by looking at the change in velocity over a specific period of time. It is an important concept in physics as it is used to explain the motion of objects in the real world.

Acceleration is a measure of how quickly an object is changing its velocity on average, and it is usually expressed in meters per second squared (m/s2).

This simple calculation of Marissa's car acceleration can be determined by using the formula: Delta speed / Acceleration rate = Time taken.

In this case, that would be 2.2 m/s (28.6-26.4) / 3.6 m/s2

= 0.6 s or 1.5 sec (rounded up).

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What does the energy hill represent on an energy diagram?
A. The additional potential energy the reactants must gain in order to
react
B. The final amount of potential energy of the products of the
reaction
C. The potential energy the reactants have stored in molecular bonds
D. The potential energy gained by the products when a reaction
happens

Answers

Answer:

In my opinion I think the answer is C you don't have to choose C

Answer:

A The additional potential energy the reactants must gain in order toreact

Explanation:

Can I get help??? again

it's timed #TheStruggleIsReal

The density of an object is .835 g/cm3. If its volume is 34 cm3, what is the mass of the object?


A. 0.02 g

B. 0.41 g

C. 28.39 g

D. 40.72 g

Answers

Answer:

C. 28.39 gram

Explanation:

Steps:

m = V × ρ

= 34 cubic centimeter × .835 gram/cubic centimeter

= 28.39 gram

An engine creates a 2230 N force that pushes a car forward 58.3 m in 9.40 s. how much power does the engine produce? (unit = W)

Answers

Given :

An engine creates a 2230 N force that pushes a car forward 58.3 m in 9.40 s.

To Find :

How much power does the engine produce in Watt.

Solution :

We know, Work done is given by :

[tex]W = F.d\\\\W = 2230 \times 58.3 \ J\\\\W = 130009\ J[/tex]

Now, Power is given by :

[tex]Power = \dfrac{Work \ Done}{Time \ Taken}\\\\P = \dfrac{130009}{9.4}\ W\\\\P = 13830.74\ W[/tex]

Therefore, power produced by engine is 13830.74 W.

How much current flows through the bottom wire in the figure(Figure 1) ?
Express your answer to two significant figures and include the appropriate units.

Answers

The current through the bottom of the wire is 0.415 A and the negative sign of the current indicates that current flows from left to right from the bottom wire.

The current through various parts of the circuit is as shown in figure.

Here we have to calculate the current I_5.

Applying Kirchoff's loop rule on each of the loops in the circuit, Consider the left triangle, for it, we have

[tex]$$\begin{aligned}& \left(I_1\right) 6 \Omega+\left(I_3\right) 12 \Omega-9 \mathrm{~V}=0 \\& \Rightarrow 6 I_1+12 I_3=9 \\& \Rightarrow I_1=\frac{9}{6}-\frac{12}{6} I_3 \\& \Rightarrow I_1=1.5-2 I_3-----(1)\end{aligned}$$[/tex]

For the centre of the triangle, we have

[tex]$$\begin{aligned}& \left(I_4\right) 24 \Omega-\left(I_3\right) 12 \Omega=0 \\& \Rightarrow I_4=\frac{12}{24} I_3 \\& \Rightarrow I_4=\frac{I_3}{2}-----(2)\end{aligned}$$[/tex]

And for the right triangle, we have

[tex]$$\begin{aligned}& \left(I_2\right) 10 \Omega+\left(I_4\right) 24 \Omega-15 \mathrm{~V}=0 \\& \Rightarrow I_2=\frac{15}{10}-\frac{24}{10} I_4 \\& \Rightarrow I_2=1.5-2.4 I_4------(3)\end{aligned}$$[/tex]

The junction rule applied at the left corner gives

I_1  =I_3+I_5

=I_5  =I_1-I_3

=1.5-2 I_3-(I_3)=1.5-3 I_3--------(4)

And applying the junction rule at the right corner,

I_4 =I_2+I_5

I_5 =I_4-I_2

=I_4-(1.5-2.4 I_4)=3.4 I_4-1.5-------(5)

Using equation (2) [tex]$I_4=\frac{I_3}{2}$[/tex], equation (5) can be written as

[tex]$$\begin{aligned}I_5 & =3.4\left(\frac{I_3}{2}\right)-1.5 \\\end{aligned}$$[/tex]==1.7 I_3-1.5

Solving equations (4) and (6), we have

1.5-3 I_3=1.7 I_3-1.5

(1.5+1.5)=(1.7+3.0) I_3

3.0=4.7 I_3

[tex]\Rightarrow I_3=\frac{3.0}{4.7} \mathrm{~A}[/tex]

Hence the current in the bottom wire is given by

[tex]I_5 & =1.7\left(\frac{3.0}{4.7}\right)-1.5 \\[/tex] =1.085-1.5 =-0.415 A

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