please answer part A and part B
You are driving through town at 10.0 m/s when suddenly a ball rolls out in front of you. You apply the brakes and begin decelerating at 3.4 m/s². 2
How far do you travel before stopping? Express you

Answers

Answer 1

A. The distance traveled before stopping is 15 m

B. The time taken before you stop is 2.9 s

A. How do i determine the distance traveled?

The distance traveled can be obtained as shown below

Initial speed (u) = 10 m/sFinal speed (v) = 0 m/s Deceleration (a) = -3.4 m/s²Distance  traveled (s) =?

v² = u² + 2as

0² = 10² + (2 × -3.4 × s)

0 = 100 - 6.8s

Collect like terms

6.8s = 100

Divide both sides by 6.8

s = 100 / 6.8

s = 15 m

Thus, we can conclude that the distance traveled is 15 m

B. How do i determine the time?

The time taken can be obtained as follow:

Initial speed (u) = 10 m/sFinal speed (v) = 0 m/s Deceleration (a) = -3.4 m/s²Time taken (t) =?

v = u + at

0 = 10 + (-3.4 × t)

0 = 10 - 3.4t

Collect like term

3.4t = 10

Divide both sides by 3.4

t = 10 / 3.4

t = 2.9 s

Thus, the time taken is 2.9 s

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Complete question:

You are driving through town at 10.0 m/s when suddenly a ball rolls out in front of you. You apply the brakes and begin decelerating at 3.4 m/s².

A. How far do you travel before stopping? Express your answer in 2 significant figures

B. How long before you stop?


Related Questions

How much force (in N) is exerted on one side of an 14.8 cm by 21.0 cm sheet of paper by the atmosphere?

Answers

Answer:

3149.181 N

Explanation:

the force exerted by the atmosphere can be calculated as

F = PA

Where P is the atmospheric pressure and A is the area of the sheet of paper.

The atmospheric pressure is P = 101325 Pa

And the area is equal to

A = Length x Width

A = 0.148 m x 0.210 m

A = 0.03108 m²

Because 14.8 cm = 0.148 m and 21.0 cm = 0.210 m

Now, we can calculate the force as

F = (101325 Pa)(0.03108 m²)

F = 3149.181 N

So, the force exerted is 3149.181 N

If = (10.0+ 0.1) cm and , = (9.0t 0.1) cm, find
their sum, difference and error in each.

Answers

Sum = 10.1 + 9.0 = 19.1 cm
Difference = 10.1 - 9.0 = 1.1 cm
Error in sum = 0.1 + 0.1 = 0.2 cm
Error in difference = 0.1 + 0.1 = 0.2 cm

the mass of piece of granite is 15.6g when it is suspended can a mass of 5.5g of water is displaced find the dencity of granite

Answers

Answer:

2836.36 kg/m³

Explanation:

Applying,

Densty of granite(D')/Density of water(D) = weight of granite(W')/weight of water displaced(W)

D'/D = W'/W................... Equation 1

Make D' the subject of the equation

D' = W'D/W............... Equation 2.

From the question,

Given: W' = mg = 9.8(15.6/1000) = 0.15288 N, W = 9.8(5.5/1000) = 0.0539 N, Constant: D = 1000 kg/m³

Substitute these values into equation 2

D' = 1000(0.15288)/0.0539

D' = 2836.36 kg/m³

Mass or weight? On a large piece of paper, draw a table with two columns: one for mass and one for weight.

Each of the statements below should start with either the word 'mass' or the word 'weight'.

Work in pairs to decide in which column to put each of the statements. When you have decided, write the statement in the appropriate column.
The statements are:

... of an object is affected by the strength of gravity on a planet. is measured in newtons, N.

... is measured in kilograms, kg.

....is not affected by gravity.

....of an object decreases as the object moves further away from Earth. .

...is the quantity of matter in an object.

.....is the property of a planet that makes it have gravity ​

Answers

The appropriate term for each statement is as follows;

Weight: of an object is affected by the strength of gravity on a planet. is measured in newtons, N. Mass: is measured in kilograms, kg. Mass: is not affected by gravity.Weight: of an object decreases as the object moves further away from Earth. .Mass: is the quantity of matter in an object. Weight: is the property of a planet that makes it have gravity

What is weight and mass?

Weight is the force on an object due to the gravitational attraction between it and the Earth (or whatever astronomical object it is primarily influenced by).

Mass, on the other hand, is a quantity of matter cohering together so as to make one body, or an aggregation of particles or things which collectively make one body or quantity.

Weight is measured in Newton's because it is a force while mass is measured in kilograms. The weight is affected by the gravity of the planet the object exists.

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a tightly wound toroid of inner radius 1.3 cm and outer radius 2.6 cm has 1080 turns of wire and carries a current of 2.1 a. what is the magnetic field a distance 1.95 cm from the center?

Answers

At 0.9 cm from the toroid's center, there is a 0.053 T magnetic field present.

the details provided;

The toroid's inner radius is 1.3 cm (0.013 m) and

its outer radius is 2.6 cm (0.026 m).

There are 1080 revolutions in the toroid.

carries a current of 2.1.

The following formula is used to compute the magnetic field at a distance of 1.95 cm from the toroid's center:

B= (μNI)/2\(\pi\)R

B=(4\(\pi\)*\(10^{-7}\))*(1080)*(2.1)/2\(\pi\)*0.0195

B=0.023 T.

Simply put, what is a magnetic field?

The magnetic field is the area in which a magnet produces its magnetic effects. To describe how the magnetic force is dispersed in the area around and inside something magnetic in nature, we utilize the magnetic field as a tool.

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Carbon dioxide undergoes a phase change called sublimation, how does a single molecule of carbon dioxide change as a result of this process in terms of its energy and physical characteristics? a. There is a physical change from a gas to a liquid; energy is released into the environment reducing the molecular movement. b. There is a physical change from the solid state to a gas state where energy between the molecules increases. c. There is a chemical change between the carbona nd oxygen resulting int he formation of oxygen gas which has more energy d. There is a chemical change as the carbon dioxide is transferred from a liquid to a solid reducing the amount of energy

Answers

The correct answer is(b). There is a physical change from the solid state to a gas state where energy between the molecules increases.

What is the process of sublimation in carbon dioxide?

During sublimation, carbon dioxide transitions directly from the solid state (dry ice) to the gas state without passing through the liquid phase. In this process, individual molecules of carbon dioxide gain energy from the surroundings, leading to an increase in their kinetic energy and molecular movement.

As a result, the carbon dioxide molecules separate from each other and form a gas. This phase change is considered a physical change rather than a chemical change since the chemical composition of carbon dioxide remains the same throughout the process.

Therefore, the sublimation of carbon dioxide results in a physical change where the molecules transition from the solid state to the gas state, gaining energy and increasing their molecular movement.

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a section of a highway is known to have a free-flow speed of 90 km/h and a capacity of 3300 veh/h. if we assume a linear speed-density relationship, what is the value of jam density?

Answers

The value of jam density is 17.864 kml.

Jam density refers to excessive visitor density while site visitors waft stops absolutely, commonly within the range of 185–250 cars in keeping with mile per lane. but, calculations approximately congested networks are greater complex and rely extra on empirical research and extrapolations from real avenues counts on on.

Density is increased with the aid of human beings joining a street from on-ramps, and this causes automobiles to gradually down, i.e. human beings are generally horrific at merging at pace. Then some humans who've been held up inside the left-hand lane flow to the center lane which causes the identical problem in the middle lane – visitors back up.

Given,

у = 90 km/ max = 3300 ven Ihr Sa Calculate Jam density,

• ІК, 4- 27 = 900 x Е. 4 allega 40 vellum) Put all valu

- 224² = 1980 4 - 28350 to a 224²-19804 + 28350 20 after folving

TH=72.14 kalho and 14a 17.864 kml.

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Define electric current and drift velocity.

Answers

Answer:

Current- the flow of free charges, such as electrons and ions

Drift velocity- the average speed at which these charges move

Answer:

An electric current is the stream of changed particals, such as electrons & ions, moving through an electrical conductor.

The average velocity attained bycharged partical ,such as electrons,in a material due to electric fields

Assume that an intercontinental ballistic missile goes from rest to a suborbital speed of 8.40 km/s in 62.0 s (the actual speed and time are classified). What is its average acceleration in m/s2 and in multiples of g (9.80 m/s2)

Answers

Answer:  \(135.48\ m/s^2\) ,\(13.82g\)

Explanation:

Given

Missile velocity raises from 0 to \(8.4\ km/s\)

Time taken \(t=62\ s\)

Convert velocity into m/s

\(\Rightarrow 8.4=8.4\times 1000=8400\ m/s\)

Acceleration is the change of velocity w.r.t time

\(\Rightarrow a=\dfrac{8400-0}{62}\\\\\Rightarrow a=135.48\ m/s^2\)

In terms of gravity, it is

\(\Rightarrow \dfrac{135.483}{9.8}=13.82\)

Therefore, acceleration in terms of g is \(13.82g\)

A battery powered flashlight: Begins as
energy
energy and transforms into

Answers

Answer:

Explanation:

It starts out as chemical potential energy and when the switch is turned on, the chemical energy is transformed into electrical energy.

potential chemical energy

electrical energy.

please help me in this one,i have never seen a ray diagram like this i don't know if I haven't seen it, or im just forgetful.​

 please help me in this one,i have never seen a ray diagram like this i don't know if I haven't seen

Answers

The characteristics of image formed is a real, inverted, highly magnified image and at infinity.

What is the characteristics of image formed by the lens?

The following are the general properties of image formed by a convex lens when the object is placed at focal point of the lens;

the image formed is realthe image formed is inverted the image formed is magnifiedthe image is at infinity

Thus, when an object is placed at the focal point of a convex lens, the image formed is a real, inverted, highly magnified image and at infinity.

These properties can be seen in the ray diagram attached to this solution.

To construct the ray diagram, draw a line from the top of the image through the focal point and principal axis.

If you look at the lens diagram carefully, you will notice that;

distance B to P is equal to distance P to F

So the object is placed at the focus of the lens.

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 please help me in this one,i have never seen a ray diagram like this i don't know if I haven't seen

a driver notices that her 1150-kg car slows down from 85 km/h to 65 km/h in about 6.0 s on the level when it is in neutral. approximately what power (watts and hp) is needed to keep the car travelling at a constant 75 km /h?

Answers

-2.214*10^4 W power is needed to keep the car travelling at a constant 75 km /h

From the question, we have

Mass (m)=1150kg

Initial velocity= v_0=85 km/h =23.6 m/s

Final velocity = v=65 km/h=18.06 m/s

acceleration (a)=v-v_0/t=18.06-23.6/6.0=-0.924 m/s^2

The force acting on the car is

F=ma

=(1150 kg)(-0.924 m/s^2)

=-1062.7 N

power (P)=Fv

=(-1062.7)(75(5/18))

=-2.214*10^4 W

Force:

According to physics, the force is an influence that has the power to change how an object moves. When a mass-containing object increases its velocity, such as when it travels away from rest, a force can cause it to accelerate. A push or a pull is a simple method to explain force. Since a force has both a magnitude and a direction, it is a vector quantity. It is calculated using the newton SI unit (N). The letter F is used to represent force. This can provide a clear understanding of how forces are defined because they are thought of as pushes or pulls.

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The ratio between the force of friction and the normal force is called:

A.the drag
B.rolling friction
C.the coefficient of friction
D.the starting friction

Answers

Answer:

C.the coefficient of friction

Explanation:

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A blimp has a buoyant force of 54400 N acting on it. What is its volume?
70 Points
HELP FAST PLEASE!!!

Answers

The buoyant force of 55400 N acting on the blimp and the volume of the blimp is 4527 m³.

The buoyant force is the upward force experienced by an object when the object is immersed in the fluids. It is obtained from the product of density, volume, and acceleration due to gravity(g).

From the givens,

Fb = ρ×V×g

Fb  (the buoyancy force) = 54400 N

ρ (the density of the fluid (air)) = 1.225 kg/m³

V (volume of the fluid) =?

g  (acceleration due to gravity) = 9.81 m/s²

V = Fb / ρ×g

  = 54400 / (1.225×9.81)

 = 4526.7 m³.

The volume V of the blimp is 4526.7  m³.

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asynchronous communications does not happen in real time.

Answers

When communication occurs asynchronous, it doesn't happen immediately (e.g. on the phone, in-person, or during a live video conferencing meeting). The statement is true

What about asynchronous communication is accurate?

Information can be exchanged asynchronously when there is no need for timing. The recipient can respond to the message whenever it is convenient for them because it doesn't demand their immediate attention. Emails, forums, and group documents are a few examples of asynchronous communication.

What drawback does asynchronous communication have?

Despite all of its benefits, asynchronous communication for distant teams has drawbacks. feelings of loneliness Some employees may feel alone or alienated due to a lack of in-person interactions or meetings. There is no relationship.

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Asynchronous communications does not happen in real time.

True/ false

given a cp air mass and ct air mass with the same relative humidity, which air mass would have higher specific humidity?

Answers

The cT air mass would have the greater specific humidity; SPECIFIC HUMIDITY is the weight (amount) of vapour contained in a unit weight (amount) of air.

What are specific humidity and relative humidity?

Relative humidity, which is frequently stated as a percentage, describes how humid it is right now in comparison to how humid it would be at its maximum temperature. The proportion of vapour mass to all moist air parcel mass is known as specific humidity. Surface longevity depends heavily on humidity.

Why is a certain humidity used?

The most accurate way to measure humidity is with a unit called the specific humidity unit. The specific humidity unit, g.kg-1, is used to quantify the weight of water vapor per unit weight of air. This measurement is made in grams of water vapor per kilogram of air.

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I need help with this question and please show the whole work
and do it asap
If a star displays \( 0.0190 \) arcseconds of parallax, then long would it take to travel to that star if traveling at half the speed of light?

Answers

The first step is to convert the parallax angle of the star to distance. We can use the formula: parallax angle in arc seconds = (distance to star in parsecs)^-1 We can rearrange this equation to isolate distance: d = (parallax angle)^-1 Therefore, the distance to the star in parsecs is:

d = (0.0190 arcseconds)^-1 = 52.6 parsecs Next, we need to find the actual distance in meters. One parsec is equivalent to 3.09 × 10^16 meters. Therefore, the distance to the star in meters is: distance = (52.6 parsecs)(3.09 × 10^16 meters/parsec) = 1.63 × 10^18 meters Now, we can use the formula for time: d = vt Solving for time: t = d/v We are told to travel at half the speed of light, which is v = 0.5c, where c is the speed of light.

Therefore, the time to travel to the star is: t = (1.63 × 10^18 meters)/(0.5c) Using the speed of light, c = 3.00 × 10^8 m/s, we get: t = (1.63 × 10^18 meters)/(0.5 × 3.00 × 10^8 m/s)t ≈ 10.9 years Therefore, it would take about 10.9 years to travel to the star if traveling at half the speed of light.

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Why do you see a rainbow when you look at white light through a prism?
please don't send links or files
Group of answer choices

components of white light (colors) were refracted into different amounts by the prism.

different colored of atoms passed through the prism and were knocked out.

the white light’s energy was diverted and converted into visible light.

the prism converted ultraviolet light to visible light.

Answers

Answer:

Sunlight is a mixture of colors. When it passes through a glass prism, some of the light is bent, or refracted, more than other portions. And just as sunlight passing through a prism is bent, so is sunlight passing through drops of water. This produces an atmospheric solar spectrum in the sky for all to see: a rainbow.

Explanation:

if a needle had to be removed from a syringe, what would be the safest way to do so based on safe sharps work practices? remove the needle by twisting off the syringe directly by hand ask a colleague to hold the syringe while you twist the needle off by hand recap the needle with a forceps, then remove the needle from the syringe by hand use a needle box equipped with a needle removal device that permits the needle to fall directly into the needle box or sharps container when removed

Answers

The  safely removing a needle from a syringe based on safe sharps work practices is to use a needle box equipped with a needle removal device that permits the needle to fall directly into the needle box or sharps container when removed.

This method ensures that the needle is immediately disposed of in a safe manner, reducing the risk of accidental needlestick injuries. It is important to never remove the needle by twisting off the syringe directly by hand, as this can cause the needle to become dislodged and potentially cause harm. Similarly, asking a colleague to hold the syringe while you twist the needle off by hand also poses a risk. Recapping the needle with forceps before removing it by hand is also not recommended, as it increases the risk of needlestick injuries. Therefore, using a needle box equipped with a needle removal device is the safest and most effective method for removing a needle from a syringe.

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Please help me with this psychics problem, forever thankful!

Place the following in order of increasing frequency (low to high).
Radio Waves

X-Rays, (1018 Hz to 1022 Hz), (1 nm to 10-3 nm)
:
Ultraviolet, (7 x 1014 Hz to 1018 Hz), (103 nm to 1 nm)

Visible Light, (4 x 1014 Hz to 7 x 1014 Hz) (700 nm to 380 nm)

Infrared, (1010 Hz to 4 x 1014 Hz), (106 nm to 103 nm)

Microwaves, (106 Hz to 1010 Hz), (1 m to 106 nm)
Gamma Rays

Answers

Answer:

I don't know how it works, but I found this on the internet. image does not belong to me.

hope it helps!

Please help me with this psychics problem, forever thankful!Place the following in order of increasing

Answer:

X-RAY

Explanation:

I took the test on study island

how can I get mass of a liquid whose density is 11gcm-3 and volume of 25cubic metres.

Answers

Answer:

here we go

Explanation:

\(density \: = mass \div volume \\ mass \: = density \times volume \\ \\ but \: our \: volume \: is \: in \: cubic \: metres \\ convert \: it \: to \: cubic \: centimeters \\ volume \: = 25 \div {(100)}^{3} \\ = 2.5 \times 10^{ - 5} cm^{3} \\ \\ mass = 11 \times (2.5 \times 10 ^{ - 5} ) \\ = 2.75 \times 10 ^{ - 4} grams\)

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A 10-kg box Initially at rest and moves along a frictionless horizontal surface. A Horizontal force to the right as applied to the box. The magnitude of the box change of the function of time as shown

b. What is the velocity of the box at 10 seconds? Show your work.
c. If you want to apply at constant force starting at 10 seconds, that would stop the box at exactly 20 seconds. What would the magnitude and direction of that force be? Show your work

A 10-kg box Initially at rest and moves along a frictionless horizontal surface. A Horizontal force to

Answers

Answer:

b. 1.1 m/s c. -1.1 m/s

Explanation:

b.

m x v=f x t

The mass is 10 kg

10 x v (equation for momentum) = f x t (impulse)

you would find the impulse by finding the area under the graph, and then dividing by the mass

So in this case:

10 x v = 11

then divide by the mass

v = 11/10

v= 1.1 m/s

c.

F x t = impulse

we are trying to find force (magnitude)

impulse/t = F

we said that in order for it to stop the impulse for b would be 11, so if thats the case it would be 11 but it would be negative because when going in a positive direction and suddenly stopping the direction changes.

-11/t = F

to find t all we need to do is find the amount of seconds between 10 and 20, that would be 10.

-11/10 = F

F= -1.1 m/s

Answer B:

The velocity of the box at 10 seconds is :

Formula :

              m x v=f x t

Given Information :

Mass(m)=10kg

10 x v (equation for momentum) = f x t (impulse)10 x v = 11v = 11/10v= 1.1 m/s

Therefore, the velocity of the box at 10 seconds is 1.1m/s.

Answer C:

The magnitude and direction of that force be :

Formula:

F x t = impulse

impulse/t = F-11/t = F

To find t all we need to do is find the amount of seconds between 10 and 20, that would be 10.

-11/10 = FF= -1.1 m/s

The magnitude and direction of that force will be -1.1m/s.

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0.7-kg of r-134a is expanded isentropically from 800 kpa and 50°c to 140 kpa. determine the total heat transfer and work production for this expansion.

Answers

There will be no heat transmission, and the system's work is 25.27 Kj.

The calculation for total heat transfer and work production:

Provided,

The mass of r-134a = 0.7 kg

Initial pressure of the system, P₁ = 800 kpa

Initial temperature of r-134a, T₁ = 50°C = 273+ 50 = 323 K

Final pressure of the system, P₂ = 140 kpa

From the superheated refrigerant r-134a

P₁ = 800 kpa & T₁ = 50°C

the internal energy, u₁ = 263.87 Kj/kg &

the entropy, s₁ = 0.9803 Kj/kg .K

There won't be any heat transmission because the process is isentropic.

So, Q = 0 KJ

Due to the isentropic nature of the operation, the ultimate entropy is determined by

s₂ = s₁ = 0.9803 Kj/kg .K

From the r-134a superheated refrigerant

at P₂ = 140 kpa & entropy s₂ = 0.9803 Kj/kg .K

the internal energy,u₂ = 227.77 K/kg

The work on the system is provided by

W = m x (u₂-u₁)

W = 0.7 x(227.77 - 263.87)

W = 0.7 x (-36.1)

W = -25.27 KJ

A negative number means the system is doing the task.

As a result, there won't be any heat transfer, and the system will only have used 25.27 KJ of energy.

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A 3.0-kg ball with an initial velocity of (4i +3j) m/s collides with a wall and rebounds with avelocity of (-4i + 3j) m/s.What is the impulse exerted on the ball by the wall?
Question 2 answers
a. +24i N s
b. -24i N s
c. +18j N s
d. -18j N s
e. +8.0i N s

Answers

The impulse exerted on the ball by the wall is -24i N s, the answer is option b.

The impulse exerted on the ball by the wall can be determined using the impulse-momentum theorem.

Impulse is equal to the change in momentum.

That is,

J = Δp

Since momentum is a vector,

p = mv

Substituting the values,

p(initial) = mv(initial) = 3.0 kg × (4i + 3j) m/s

p(initial) = 12i + 9j N s

p(final) = mv(final) = 3.0 kg × (-4i + 3j) m/s

p(final) = -12i + 9j N s

Change in momentum,

(Δp) = p(final) - p(initial)

      = (-12i + 9j) N s - (12i + 9j) N s

      = (-12 - 12)i + (9 - 9)j N s

      = -24i N s

Thus, the impulse exerted on the ball by the wall is -24i N s, which means that the answer is option b.

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Vectors are unchanged if moved to another location as long as their length and direction remain unchanged

true or false

Answers

True. Explanation:it does not change the physical structure it just changes the location

Which voltage would cause a current of 0.5 ampere in a circuit that has a resistance of 24 ohms? question 3 options:
a. 48 v
b. 6.0 v
c. 24 v
d. 12 v

Answers

By Ohm's Law, the voltage across the circuit is D. 12 v.

We need to know about Ohm's Law to solve this problem. Ohm's Law describes the relationship between voltage and current. It can be determined as

V / I = R

where V is voltage, I is current and R is resistance.

From the question above, we know that

I = 0.5 A

R = 24 Ω

By substituting the following parameters, we can calculate the voltage

V / I = R

V = I x R

V = 0.5 x 24

V = 12 volt

Hence, the voltage is 12 volts.

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Question 9 of 10
April sits at rest on a skateboard. She has a mass of 55 kg. Her friend throws
her a watermelon (m= 2 kg) at a speed of 5 m/s. If she catches it, how fast
will she, the skateboard, and the watermelon move?
OA. 5 m/s
B. 0.18 m/s
C. 11 m/s
OD. 0.09 m/s

Answers

The final velocity of April, the skateboard, and the watermelon after the collision is 0.18 m/s.

What is the final velocity of the system?

The final velocity of April, the skateboard, and the watermelon after the collision is calculated by applying the principle of conservation of linear momentum as shown below;

m1u1 + m2u2 = v (m1 + m2)

where;

m1 is mass of Aprilm2 is the mass of the ballu1 is the initial velocity of Aprilv is the final velocity of the system

(55 x 0) + (2 x 5) = v (55 + 2)

10 = 57v

v = 10/57

v = 0.18 m/s

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Why is an object’s mass, rather than its weight, used to indicate the amount of matter it contains?.

Answers

An object's mass remains unchanged everywhere while the weight of an object depends on gravity, it is a measurement of how much gravity has an impact on an object. Therefore, an object’s mass, rather than its weight is used to indicate the amount of matter it contains.

Why is an object's mass used to determine how much matter it contains rather than its weight?

Weight is not a measurement of how much matter something contains, but rather a force. Depending on its location, the same amount of stuff can have a variety of weights. No matter where it is measured, mass consistently expresses the amount of matter that is present. Because an object's mass will not vary if the force of gravity changes, unlike its weight. Weight is a measurement of how much gravity has an impact on an object, whereas mass is the amount of substance (density) that an object possesses. For instance, a person would weigh more on Earth than on the Moon due to Earth's greater mass and thus stronger gravitational force. The amount of matter that makes up a body is measured by its mass.

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what is the work done by a horizontal spring (spring constant k) expanding from a compression distance x to an extension distance of x to an attached mass?

Answers

Answer: The work done by a horizontal spring with spring constant k expanding from a compression distance of x to an extension distance of x due to an attached mass is kx².

Explanation:

When a spring expands or compresses, it does work on the object attached to it. The work done by a spring on an object is given by the formula:

W = (1/2) k (x₂² - x₁²)

where W is the work done by the spring, k is the spring constant, x₁ is the initial compression distance, and x₂ is the final extension distance.

In the given scenario, the spring is expanding from a compression distance x to an extension distance of x due to an attached mass. The initial compression distance is x₁ = -x, and the final extension distance is x₂ = x. Therefore, the work done by the spring is:

W = (1/2) k (x₂² - x₁²) = (1/2) k [(x)² - (-x)²] = (1/2) k (2x²) = kx²

Hence, the work done by a horizontal spring with spring constant k expanding from a compression distance of x to an extension distance of x due to an attached mass is kx².

38. Which one of the waveforms shown below is the
resultant waveform?

38. Which one of the waveforms shown below is theresultant waveform?

Answers

The resultant waveform is in the picture is y1

What is superposition of waves

Superposition of waves is a phenomenon that occurs when two or more waves travel through the same medium and combine together to form a new wave.

When waves superpose, their amplitudes and frequencies add up or cancel out at different points in space and time, resulting in a complex pattern of constructive and destructive interference.

The principle of superposition is a fundamental concept in physics and is used to describe many wave phenomena, such as interference, diffraction, and standing waves. It states that when two or more waves overlap in space, the resultant wave at any given point is the algebraic sum of the individual waves at that point.

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