A 1 kg cart has 5 J of work done on it. If the initial velocity of the cart was 3 m/s, what is the final velocity of the cart?

Answers

Answer 1

The final velocity of the cart at the given mass is 4.36 m/s.

The given parameters;

mass of the cart, m = 1 kgwork done on the cart, W = 5 Jinitial velocity of the cart, u = 3 m/s

The distance traveled by the cart is calculated as follows;

Fd = W

mgh = W

[tex]h = \frac{W}{mg} \\\\h = \frac{5}{1 \times 9.8} \\\\h = 0.51 \ m[/tex]

The final velocity of the cart is calculated as follows;

[tex]v^2 = u^2 + 2gh\\\\v^2 = (3)^2 + 2(9.8)(0.51)\\\\v^2 = 18.996\\\\v = \sqrt{18.996} \\\\v = 4.36 \ m/s[/tex]

Thus, the final velocity of the cart at the given mass is 4.36 m/s.

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Related Questions

A flute plays a note with a frequency of 266 Hz. What is the speed of sound if the wavelength is 1.3 m? 102 m/s 205 m/s 346 m/s 692 m/s

Answers

Answer:

the speed of sound if the wavelength is 346 m/s

When a flute plays note with a frequency of 266 Hz and the wavelength is 1.3 m then speed of sound will be 346 m/s. Hence option C is correct.

What is Speed ?

Speed is a rate of change of distance with respect to time. i.e. v=dx÷dt. Speed can also be defined as distance over time i.e. speed= distance ÷ time it is denoted by v and its SI unit is m/s. it is a scalar quantity. Speed shows how much distance can be traveled in unit time.

To find dimension for speed is, from formula

Speed = Distance ÷ Time

Dimension for distance is [L¹] ,

Dimension for Time is [T¹],

Dividing dimension of distance by dimension of time gives,

[L¹] ÷ [T¹] = [L¹T⁻¹]

Dimension for speed is [L¹T⁻¹].

For a any wave, there is relation between speed c, wavelength λ and frequency ν which is given by,

c = λν

Given,

wavelength = 1.3 m

frequency = 266 Hz

Speed = ?

Putting all values in the equation,

Speed = 1.3 m× 266 Hz = 345.8 m/s ≅ 346 m/s

Hence option C is correct.

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What is the electric current if a resistance of 100 Q and voltage of 12.0 V?
A.0.120 A
B.9.00 A
C.12.0 A
D.25.0 A​

Answers

We use the formula v=ir where I is current, v is voltage, and r is resistance, we get that r=12/100 which is answer choice A

Answer:

letter A

Explanation:

yan po tamang sagot

What is the answer and full explanation?

Answers

Answer:

There is no question or a work that you need help with

How are newtons third law of motion applies to a system of objects

Answers

Answer:

Newton's third law of motion states that whenever a first object exerts a force on a second object, the first object experiences a force equal in magnitude but opposite in direction to the force that it exerts. ... Newton's third law is useful for figuring out which forces are external to a system.

Explanation:

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describe the motion of a baseball from pitch to being caught in the outfield, use as many concepts as u can

Answers

Answer:

Image result for describe the motion of a baseball from pitch to being caught in the outfield, use as many concepts as u can

The rotation of the baseball in combination with the way the seam is spinning through the air causes the ball to move in different patterns. A few common pitches are the fastball, curve ball, slider, and the screwball. Each of these pitches has a different spin because of how the player grips the ball.

Explanation:

Answer:

When a baseball is pitched, hit and flies in the air, one or more of the physical principles formulated over 300 years ago by Sir Isaac Newton act on it. Folklore tells how the mathematician and physicist first realized the law of gravity while observing a falling apple. Had Newton watched a baseball game instead, he might have formulated all three laws of motion by the seventh-inning stretch.

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Dina has been working out for a few weeks. She wants to really focus on developing healthy habits rather than a very specific goal, like losing weight. She knows that tracking can help maintain health. What could she document that would let her see progress?
A.
She should just create a long-term goal.
B.
She could note the lengths and speeds of her morning runs.
C.
She should write down what she weighs when she wakes up in the morning.
D.
She can record what days she exercises and the type of activity.

Answers

Answer:

The correct choice is A. She should just create a long-term goal.

She can record what days she exercises and the type of activity to record her progress. Correct option is D.

Documenting the days she exercises and the type of activity she engages in is a valuable way for Dina to track her progress in developing healthy habits. This approach aligns well with her focus on healthy habits rather than a specific weight-related goal.

Tracking exercise routines allows Dina to:

Monitor Consistency: By recording exercise days, she can see how consistently she's engaging in physical activity. Consistency is key to forming lasting healthy habits.

Variety: Recording the types of activities she participates in helps her ensure that she's incorporating a variety of exercises, which contributes to overall fitness and prevents boredom.

Gradual Improvement: Over time, she can observe if she's able to increase the duration, intensity, or frequency of her workouts, indicating progress in her fitness level.

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A motorist accelerates from 0 m/s to 8 m/s in 3 seconds. What is his acceleration? Is this acceleration higher than that of a car which accelerates from 0 to 30 m/s in 6 seconds?

Answers

Answer:

[tex]\boxed {\boxed {\sf \frac {8}{3} \ m/s^2 \ and \ not \ higher \ than \ the \ car's \ acceleration }}[/tex]

Explanation:

Acceleration is the rate of change of velocity with respect to time. It is calculated by dividing the change in velocity by the time.

[tex]a= \frac {v_f-v_i}{t}[/tex]

1. Motorist Acceleration

The motorist accelerates from an initial velocity of 0 meters per second to a final velocity of 8 meters per second in 3 seconds.

[tex]v_f[/tex]= 8 m/s [tex]v_i[/tex]= 0 m/s t= 3 s

Substitute the values into the formula.

[tex]a= \frac{ 8 \ m/s - 0 \ m/s }{3 \ s}[/tex]

Solve the numerator.

[tex]a= \frac{8 \ m/s}{3 \ s}[/tex]

[tex]a= \frac{8}{3} \ m/s^2[/tex]

[tex]a \approx 2.667 \m/s^2[/tex]

2. Car Acceleration

The car accelerates from an initial velocity of 0 meters per second to a final velocity of 30 meters per second in 6 seconds.

[tex]v_f[/tex]= 30 m/s [tex]v_i[/tex]= 0 m/s t=6 s

Substitute the values into the formula.

[tex]a= \frac{ 30 \ m/s - 0 \ m/s }{6 \ s}[/tex]

Solve the numerator.

[tex]a= \frac{30 \ m/s}{6 \ s}[/tex]

[tex]a= { 5 \ m/s^2}[/tex]

The motorist's acceleration is 8/3 or approximately 2.667 meters per second squared. This is not higher than the car's acceleration of 5 meters per second squared.

Explain why cookies baked
near the turned-up edges of a cookie sheet receive
more energy than those baked near the center do.

Answers

Answer:

It's all about the conduction between the pan and the cookies.

Explanation:

The cookies in the middle of the pan are not going to be cooked as much as the cookies touching both the bottom of the pan and the side of the pan due to the level of heat being given to those outside cookies. Lets try an example:

Lets say you're in a car in the middle of summer. You and your sibling sit on opposite sides of your other sibling, who is sitting in the middle seat. You and your other sibling are pressed up against the door of the car, making you heat up quicker since not only is it hot in the car, the sun is also on you. Meanwhile your other sibling isn't getting as much heat (but is still warm).

I hope this was able to help! There weren't any answers listed, so it may be the following:

- Conduction of heat

- Transfer of heat

- The pan heating up more of the cookie

- The conversion of more heat energy to the outside cookies

Good luck!

what is the direction of the magnetic force on the charge?

Answers

Answer: The direction of the magnetic force on a moving charge is perpendicular to the plane formed by v and B and follows right hand rule–1 (RHR-1) as shown. The magnitude of the force is proportional to q, v, B, and the sine of the angle between v and B.

Explanation:

What are the four things that are dependent on the size of an electromagnetic force?

Answers

answer: loop countthe currentthe wire size and the presence of an iron core

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The four things that are dependent on the size of an electromagnetic force are magnitude of force, distance, current and the magnetic strength.

What is electromagnetic force?

An electromagnetic force is generated from a strong electric field associated with a magnetic field. A looping current generates a magnetic field around it where, the direction of magnetic field lines are perpendicular to the electric field.

The strength of electromagnetic field definitely depends on the wire size, number of turnings, material of coli and its magnetic strength. There are both electromagnetic force of attraction and repulsion as well.

The things which are dependent on the electromagnetic force are the distance over it can act, the loop current, magnetic strength and its magnitude of magnetic field.

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A block weighing 30kg is moved at a constant speed over a horizontal surface by a force of 100 N applied parallel
to the surface
What does the "constant speed" tell you about the forces acting on the block?
Draw body diagram for the block.
[

Answers

30-100=70^3•É+ 30 =3^E

Define power and discuss how to determine power worth 4 points

Answers

     Power is, summarized, how fast something is done using energy. More specifically, power is the amount of energy transferred or converted per unit time.

     To determine power, you use the following formula:

                              [tex]P=\frac{W}{Δt}[/tex]

(formatting is messed up, the denominator is Δt)

         P - power

         W - work

         Δt - elapsed time

     Hope this helps, have a wonderful day :D

Write the complete chemical symbol for the ion with 29 protons, 27 electrons,
and 31 neutrons.

Answers

Answer: Cu+2

Explanation:

I =
Q = 240 C
t= 300 s

Answers

It’s 40 what time is it

When enough energy is produced to a gas the electrons on the gaseous atoms being to detach themselves leaving ions of the typical gaseous atoms in plasma phase. The transition from a gas to plasma is called what?

Answers

Answer:

it's called ionization

solid are _______, usually in a regular repeating pattern

Answers

Answer:

particles or arranged will be the answer depending on the previous line.

Answer:

Solids are crystalline , usually in a regular repeating pattern.

YALL PLZ HURRY UP-!!
How should the student modify (change) the setup to investigate how a motor works?

A. Attach a crank or use a students finger to force the coil of wire to rotate.

B. Place an iron nail inside the coil of wire.

C. Remove the magnet from the model.

D. Replace the lamp with a battery.

Answers

Answer:Students investigate motors and electromagnets as they construct their own simple electric motors using batteries, magnets, paperclips and wire.

Explanation:

A giant rat is running at +4 m/s. After 2 seconds, his velocity is +20 m/s. What is his acceleration?

Answers

Answer:

8m/s²

Explanation:

the formula to find acceleration is: a=v-u/t

v refers to the final velocity

u refers to the initial velocity

so, a=20-4/2

a= 8m/s²

does cool air have more or less air pressure than warm air

Answers

Answer:

cold

Explanation:

cold air is more dense than warm air, therefore it has a higher pressure

total momentum only stays the same if no external forces except for friction are present. true or false

Answers

Answer:

i think its false sorry if im wrong.

Explanation:

A train travel south at the
speed of 120 km/h in 1. 6 hours
Calculate it's displacement​

Answers

ANSWER

Velocity: 120 miles/hr

Now Distance=  Speed × Time

Now Velocity and speed have the same magnitude. Velocity being a vector quantity has a definite direction. Whereas speed is a scalar quantity,it indicates only the magnitude an doesn't define any direction.

Hence Distance = Velocity x time

Distance = 3.5 × 120 = 420 miles

Speed=120Km/hTime=1.6h

[tex]\\ \sf\longmapsto Displacement=Speed(Velocity)\times Time[/tex]

[tex]\\ \sf\longmapsto Displacement=120(1.6)[/tex]

[tex]\\ \sf\longmapsto Displacement=192km[/tex]

A 2 kg box of taffy candy has 40j of potential energy relative to the ground. Its height above the ground is​

Answers

Answer:

2.04m

Explanation:

PE=mgh

h= PE/mg

h= 40/2(9.82)

h=40/19.64

h=2.04

Answer:

[tex]20m[/tex]

Explanation:

Formula to find the potential energy is,

Potential Energy = mgh

Here,

m = mass

g = gravitational field

h = height

According to the question, we have to find the height.

Usually, we get g is [tex]10ms^{-2}[/tex]

Let us solve for the answer now.

[tex]P.E. =mgh\\40J =2kg*10ms^{-2} *h\\40 = 20h\\\frac{40}{20}= \frac{20h}{20} \\20m=h[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

How do the molecules move in the frozen lake?

1. They don't move
2. In place
3. Away from each other
4. Around each other

Answers

2 they move in place, molecules only stop moving at absolute zero and away from each other in gases, they move around each other in liquids
The hydrogen bonds in liquid water constantly break and reform as the water molecules tumble past one another. As water cools, its molecular motion slows and the molecules move gradually closer to one another. ... For most liquids, this continues as the liquid freezes and the solid state is denser than the liquid state.

A student claimed energy was lost when she bounced a ball. Was she correct?

Answers

Answer:

Yes

Explanation:

Though energy can not be created or destroyed, when the ball is bounce it loses energy.

Why are there 16 ounces in a pound but 14 pounds in a stone?

Answers

Answer:

The pound originally was 12 oz, but was increased to 15 and then 16 oz later. One should remember that the weights on the scales were marked in oz, of 1, 2, 4, 8, &c, and in one case, the 16 oz simply became the pound.

Explanation:

Hope this helps

In a blinding blizzard, a reindeer trudges 310.0 m 55° east of south across the tundra. How far south does the reindeer move? How far east does the reindeer move?

Please show work.

Answers

The characteristic of the displacement is a vector allows to find the results for the components of the displacement are;

It moves to the south  distance  is: y = 177.8 m It moved to the east  distance is: x = 253.9 m

The displacement is a vector quantity, therefore it has modulus and direction, see attached for a diagram.

The reference system the West - East axis coincides with the x axis and the South - North axis with the y axis.

 

Let's use trigonometry to find its components.

          cos 55 = [tex]\frac{y}{d}[/tex]  

          sin 55 =  [tex]\frac{x}{d}[/tex]  

          y = d cos 55

          x = d sin 55

let's calculate

         y = 310 cos 55

         x = 310 sin 55

         y = 177.8 m

          x = 253.9 m

In conclusion using the characteristics of the displacement is a vector we can find the components of the displacement are;

It moves to the south  distance is y = 177.8 m It moved to the east  distance is x = 253.9 m

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Answers

beta decay. Nuclear reaction: ⁴⁰K → ⁴⁰Ca + e⁻. Beta decay is radioactive decay in which a beta ray and a neutrino are emitted from the same reaction hope this helps!

Answer:

a

Explanation:

aaaaa......................aaaaaa

27. How do you determine the number of valence electrons in a neutral atom?

Answers

Answer:

number of valence electrons is equal to the atoms main group number.

Explanation:

main group number for an element can be found from its column on the periodic table.

A car has a weight of 24000N which is distributed equally across all four wheels. Each wheel
has a spring of spring constant 400 N/cm.

a) Determine the force on the spring for each wheel.

b) Calculate the compression (x) of each spring when the car rests on the ground.

Answers

(a) The force on the spring for each wheel of the given car is 6,000 N.

(b) The compression of each spring when the car rest on the ground is 15 cm.

The given parameters;

weight of the car, W = 24,000 Nspring constant, k = 400 N/cm

The force on the spring for each wheel of the given car is calculated as follows;

[tex]F = F_1 = F_2 = F_3 = F_4 = \frac{W}{4} \\\\F= \frac{24,000}{4} \\\\F = 6,000 \ N[/tex]

The compression of each spring when the car rest on the ground is calculated as;

[tex]F= kx\\\\x = \frac{F}{k} \\\\x = \frac{6,000}{400} \\\\x = 15 \ cm[/tex]

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What are the advantages and disadvantages of each of the methods of calculating maximum oxygen intake?

Answers

Answer:

The advantages of the multi-stage fitness test and the direct VO2 measurement are that it is the most accurate testing, the disadvantage it requires hard work. The estimated VO2 max requires less activity, but it is less accurate.

Explanation:

The advantages of the multi-stage fitness test and the direct VO2 measurement are that it is the most accurate testing, the disadvantage it requires hard work. The estimated VO2 max requires less activity, but it is less accurate.

The person above me is correct :).

Have a nice day.

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