A soccer field is viewed from above, while a ball is kicked eastward with an initial speed of 10.0 m/s. The ball experiences a constant eastward acceleration of 0.75 m/s 2 over a distance of 20.0 m. Immediately after this 20.0 m distance, the ball is kicked northward in a manner that does not change its speed at that point, just its direction. The ball is allowed to come to a complete stop. How far north does the ball travel before stopping if the acceleration after this kick is 1.15 m/s 2

Answers

Answer 1

Answer:

the ball travelled approximately 60 m towards north before stopping

Explanation:

 Given the data in the question;

First course : \(a_{x}\) = 0.75 m/s², \(d_{x}\) = 20 m, \(u_{x}\) = 10 m/s

now, form the third equation of motion;

v² = u² + 2as

we substitute

\(v_{x}\)² = (10)² + (2 × 0.75 × 20)

\(v_{x}\)² = 100 + 30

\(v_{x}\)² = 130

\(v_{x}\) = √130

\(v_{x}\) = 11.4 m/s

for the Second Course:

\(u_{y}\) =  11.4 m/s,  \(a_{y}\) = -1.15 m/s²,  \(v_{y}\) = 0

Also, form the third equation of motion;

v² = u² + 2as

we substitute

0² = (11.4)² + (2 × (-1.15) ×  \(d_{y}\) )

0 = 129.96 - 2.3\(d_{y}\)

2.3\(d_{y}\)  = 129.96

\(d_{y}\) = 129.96 / 2.3

\(d_{y}\) = 56.5 m

so;

|d| = √( \(d_{x}\)² + \(d_{y}\)² )

we substitute

|d| = √( (20)² + (56.5)² )

|d| = √( 400 + 3192.25 )

|d| = √( 3592.25 )

|d| = 59.9 m ≈ 60 m

Therefore, the ball travelled approximately 60 m towards north before stopping


Related Questions

A person riding a bike has an initial velocity of 2.5 m/s and accelerates at a rate of 1.5 m/s2 for
6 seconds. What is the bike's final velocity?

Answers

Answer:

11.5m/s

Explanation:

v=2.5

a=1.5

t=6s

vf=vi+at

vf=2.5+(1.5)(6)

vf=11.5

In the process of pair-creation by a high-energy photon, matter is A). Destroyed B). Created C). Conserved

Answers

The pair-creation or pair-production is a process in which an electron and a positron are created by an incident of a photon on a nucleus. This is a process in which the radiation energy is converted into matter.

Thus in this process, the matter is created.

Therefore the correct answer is option B.

What is a population?
Group of answer choices
A. a group of individuals of the same species living in the same area
B. a group of different species living in the same area
C. a group of individuals of the same species living in separated areas a group of different species living in separated areas

Answers

Answer:

A

Explanation:

Which of the following is the BEST explanation for why oceans have two different types of currents?

Answers

Answer:

sddww

Explanation:

szsswa

What is the cost per month to operate an A.C. 10hours per day whose power is 3kW and 1KWH cost 79francs

Answers

The cost of operation for an A.C for 10 hours per day for a month will be 71,100 francs.

What is Power?

Power is the amount of energy transferred or converted per unit time. The unit of power is the watt, equal to one joule per second. Power is a scalar quantity.

Cost of operation for 10 hours a day;

Daily consumption = 3kW x 10 hours

Daily Consumption = 30kW

Since 1kWH = 79 francs;

Daily consumption amount = 30 x 79 francs

Daily consumption amount = 2,370 francs

Therefore, the monthly consumption (using 30days) will be;

2,370 francs x 30 = 71,100 francs

In conclusion, 71,100 francs will be spent in a month (30 days) to run the 3kW rated A.C for 10 hours a day at 1kWH.

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A light-year (ly) is the distance light travels in one year (at speed of 2.998 × 10^8 m/s ). An astronomical unit (AU) is the average distance from the Sun to Earth, 1.50 × 10^8 km. 1 year = 3.156 × 10^7 s.

A. How many meters are there in 1.50 ly ?

B. How many AU are there in 1.50 ly light-year?

Answers

There are few points given to us in this question.

The speed of lightTime (in seconds) in a yearDistance between Earth and SunSpeed of light in m/s

A) There are 1.41× 10^16 m in 1.5 light years

B) There are 9.4 × 10^4 AU in 1.5 light years

What is a light year?

Many might confuse it with time because of the presence of term “year” this term is actually used for space objects to measure distance. Light Year is the distance travelled by light in one Earth year.

It’s a term named by German scientist Friedrich Bessel who first used it in 1838.

One light year is about 6 trillion miles or 9.46 trillion kilometers.

To solve part A, we will first multiply V(light) with time (in seconds) in a year and multiply the product with 1.5 light year per light year.

Now let us understand what is Astronomical Unit AU?

AU is also used to measure distance but within our solar system. It is usually the average distance between Sun and Earth. It is about 93 million miles or 150 million kilometers.

To solve part B, we first convert the light year to AU and we do this by using the final value from part A and then convert it in significant figure to obtain a proper value for the answer.

The calculations are shown in the figures below.

Hence,

A) There are 1.41× 10^16 m in 1.5 light years

B) There are 9.4 × 10^4 AU in 1.5 light years

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A light-year (ly) is the distance light travels in one year (at speed of 2.998 10^8 m/s ). An astronomical
A light-year (ly) is the distance light travels in one year (at speed of 2.998 10^8 m/s ). An astronomical

a shopper pushes a cart 40.0m south down one aisle and then turns 90.0 degrees and moves 15.0m. He then makes another 90.0 degree turn and moves 20.0m. Find the shoppers total displacement. (there could be more than one correct answer)

Answers

Answer:

Explanation:

The displacement is the distnce of the shopper from the starting point.

Sum of movement along the vertical = 40-20 = 20m

Movement along the horizontal (x direction) = 15.0m

Displacement will be gotten using the pythagoras theorem.

d = √20²+ 15²

d = √400+225

d = √625

d = 25.0m

Hence the shoppers total displacement is 25.0m

Displacement is the shortest distance between the initial and final points. The total displacement of the shopper is 25 m.

Displacement :

It is the difference between the initial and final point or the shortest distance between the initial and final point.

Given Here,

A shopper moves south = 40m

Shopper took a turn and move = 15 m

Shopper again take a  turn and move  = 20 m

So,

The movement of shopper in Y-axis = 40-20 = 20 m

The movement of shopper in X-axis = 15 m

The displacement can be found using the Pythagoras theorem,

\(\bold{ d = \sqrt{ 20^2+ 15^2}}\\\\\bold {d = \sqrt{ 400+225}}\\\\\bold {d = \sqrt{625}}\\\\\bold {d = 25.0m}\)

Therefore, The total displacement of the shopper is 25 m.

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sing the superposition principle find the magnitude ofthe electric field at point P in the gap.1. E =5Q / εoA2. E = 4Q/εoA3. E =3Q/ εoA5. E =Q/ εoA6. E =2Q/ εoA

Answers

The superposition principle  used to calculate the electric field's strength at point P, which comes out to be 15 Q/oA.

The superposition principle states that the total electric field at a point is equal to the vector sum of the electric fields due to each individual charge at that point.

In this case, we have five charges, each producing an electric field at point P, so the total electric field at P is:

E = (E1 + E2 + E3 + E4 + E5) = (5Q/εoA + 4Q/εoA + 3Q/εoA + Q/εoA + 2Q/εoA) = (15Q/εoA)

So the magnitude of the electric field at point P is 15 times the magnitude of the electric field due to a single charge.

If the magnitude of the electric field due to one charge is given by

E = Q/εoA,

then the magnitude of the electric field at point P is:

E = 15 * (Q/εoA) = 15Q/εoA

So the magnitude of the electric field at point P is 15Q/εoA.

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During the 1960's and 1970's, the Apollo spacecraft took humans to the moon in 3 days. Traveling to Mars requires a trip of about 2 astronomical units in total. How long would this trip take, traveling at the same speed as to the moon?

Answers

Answer:

join my z o o m

Explanation:

PLEASE PROVIDE EXPLANATION.

THANK YOU!!

PLEASE PROVIDE EXPLANATION.THANK YOU!!
PLEASE PROVIDE EXPLANATION.THANK YOU!!

Answers

Answer:

11,000 kg

(a) 11.2 m/s

(b) 1.6 m/s

Explanation:

Momentum is conserved.

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

(2200 kg) (60.0 km/h) + m (0 km/h) = (2200 kg) (10 km/h) + m (10 km/h)

132,000 kg km/h = 22,000 kg km/h + m (10 km/h)

110,000 kg km/h = m (10 km/h)

m = 11,000 kg

Momentum is conserved.

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

(m) (-v) + (2m) (5v) = (m) (v₁) + (2m) (v₂)

-mv + 10mv = m v₁ + 2m v₂

9mv = m (v₁ + 2 v₂)

9v = v₁ + 2 v₂

Since the collision is elastic, kinetic energy is also conserved.

½ m₁u₁² + ½ m₂u₂² = ½ m₁v₁² + ½ m₂v₂²

m₁u₁² + m₂u₂² = m₁v₁² + m₂v₂²

(m) (-v)² + (2m) (5v)² = m v₁² + (2m) v₂²

mv² + 50mv² = m v₁² + 2m v₂²

51mv² = m (v₁² + 2 v₂²)

51v² = v₁² + 2 v₂²

We know v = 1.60 m/s.  So the two equations are:

14.4 = v₁ + 2 v₂

130.56 = v₁² + 2 v₂²

Solve the system of equations using substitution.

130.56 = (14.4 − 2 v₂)² + 2 v₂²

130.56 = 207.36 − 57.6 v₂ + 4 v₂² + 2 v₂²

0 = 6 v₂² − 57.6 v₂ + 76.8

0 = v₂² − 9.6 v₂ + 12.8

v₂ = [ 9.6 ± √(9.6² − 4(1)(12.8)) ] / 2(1)

v₂ = 1.6 or 8

If v₂ = 1.6 m/s, then v₁ = 14.4 − 2 v₂ = 11.2 m/s.

If v₂ = 8 m/s, then v₁ = 14.4 − 2 v₂ = -1.6 m/s.

We know v₁ can't be -1.6 m/s, since that would mean puck A didn't change speeds after the collision.  Therefore, v₁ = 11.2 m/s and v₂ = 1.6 m/s.

9. What's the process that a spark represents?
A. A body with a strong positive charge is placed near a body with a neutral charge and the electrons jump between the two bodies
B. A body with a strong positive charge is placed near a body with a strong negative charge and the electrons jump between the two
C. A body with a neutral charge is placed near a body with a strong negative charge and the electrons jump between the two bodies
D. A body with a strong positive charge is placed near a body with a strong positive charge and the electrons jump hatupon the. The answer

Answers

Answer:

Sparks often indicate the presence of a high voltage, or "potential field". The higher the voltage; the farther a spark can jump across a gap, and with enough energy supplied can lead to greater discharges such as a glow or an arc.

Explanation:

What country first colonised Ghana​

Answers

Answer: Colonialism is a big topic, but it can only be understood by looking at human experiences. Formal colonialism first came to the region we today call Ghana in 1874, and British rule spread through the region into the early twentieth century. The British called the territory the “Gold Coast Colony”.

Explanation: hey, hope this hlps! oh, btw you picked the wrong subject for this question it should have been history insteat of phiscics!

Need help with this to please? Cause no Idk?

Need help with this to please? Cause no Idk?

Answers

Answer:

C

Explanation:

I think buh were is the question

The radius and length of a steel cylinder are 40 mm and 110 mm, respectively. If the mass density of steel is 7850 kg/m3 , determine the weight of the cylinder in pounds.

Answers

The weight of the cylinder in pounds is 26.45 lbs.

Solving for the weight of the cylinder in pounds:

To determine the weight of the cylinder in pounds, we first need to calculate its volume. The volume of a cylinder is given by :

V = πr²h

where,

r = the radius

h = the height (or length) of the cylinder.

Given the radius and length, we can substitute these values into the formula to get:

V = π * (0.04 m)² * (0.11 m) = 0.001539 m³

Since the mass density of steel is 7850 kg/m3, we can multiply the volume by the mass density to find the mass of the cylinder:

mass = 7850 kg/m³ * 0.001539 m³

mass = 12 kg

To convert this mass to pounds, we can multiply it by 2.20462 (1kg = 2.20462 lbs)

12 kg * 2.20462 = 26.45 lbs

Hence, the weight of the cylinder in pounds is 26.45 lbs.

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How does the ecotourism industry act as an ecosystem service that benefits tourists, the people that live in the area, and the people that work in the industry?

Answers

It promotes enjoyable experiences for both guests and hosts; It lessens the negative effects of tourism on the environment; It increases local residents' access to work and financial prospects; It promotes conservation by offering financial advantages in its direction.

What is ecotourism?

The World Tourism Organization defines ecotourism as all forms of nature-based travel in which visitors' primary interests are in observing and appreciating the environment as well as the local cultures that are still practiced in natural settings.

Here are a few instances of ecotourism:

Visit places where there is nature (think of the flora, animals, and resources)discovering the heritage of the local culture.Ecologically sound wilderness excursions.volunteering or watching nature.trips devoted to environmental preservation efforts, like beach clean-ups.

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how to calculate the total input energy transfer

Answers

Answer:

i dont know

Explanation:

sorry i cant answer this question

A block of mass m = 4.4 kg slides from left to right across a frictionless surface with a speed vi= 8.4 m/s It collides in a perfectly elastic collision with a second block of mass M that is at rest. After the collision, the 4.4-kg block reverses direction, and its new speed is 2.5 m/s What is V, the speed of the second block after the collision?

Answers

Answer:

\(v_{2'}=8.1\:\mathrm{m/s}\)

Explanation:

In a perfectly elastic collision, the total kinetic energy of the system is maintained. Therefore, we can set up the following equation:

\(\frac{1}{2}m_1{v_1}^2+\frac{1}{2}m_2{v_2}^2=\frac{1}{2}m_1{v_{1'}}^2+\frac{1}{2}m_2{v_{2'}}^2\)

Since the second block was initially at rest, \(\frac{1}{2}m_2{v_2}^2=0\).

Plugging in all given values, we have:

\(\frac{1}{2}m_1{v_1}^2=\frac{1}{2}m_1{v_{1'}}^2+\frac{1}{2}m_2{v_{2'}}^2,\\\\\frac{1}{2}\cdot4.4\cdot8.4^2=\frac{1}{2}\cdot 4.4 \cdot (-2.5)^2+\frac{1}{2}\cdot 4.4\cdot {v_{2'}}^2,\\\\{v_{2'}}=\sqrt{64.31},\\\\{v_{2'}}\approx\fbox{$8.1\:\mathrm{m/s}$}\)..

Can the potential of a non-uniformly charged sphere be the same as that of a point charge? Explain.

Answers

No, the potential of a non-uniformly charged sphere cannot be the same as that of a point charge.

The potential of a charged sphere depends on the distribution of charge throughout the sphere, whereas the potential of a point charge depends only on its own charge and the distance from it. A non-uniformly charged sphere has different charges distributed at different distances from a point in space, so the potential at that point will vary depending on the distribution.

In contrast, a point charge has all its charge concentrated at a single point, so the potential at any given distance will be the same regardless of the distribution of charge in the surrounding space. Therefore, the potential of a non-uniformly charged sphere cannot be the same as that of a point charge.

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How did the magnet’s density measurement using the Archimedes’ Principle compare to the density measurement using the calculated volume? Which method might be more accurate? Why?

Answers

Answer:

The two methods will yield different results as one is subject to experimental errors that us the Archimedes method of measurement, the the density measurement method will be more accurate

Explanation:

This is because the density method using the calculated volume will huve room for less errors that's occur in practical method i.e Archimedes method due to human error

What force acts on a projectile in the horizontal direction?

Answers

The force that acts on a projectile in the horizontal direction is Gravitational force.


A projectile is an object upon which the only force is gravity. Gravity acts to influence the vertical motion of the projectile, thus causing a vertical acceleration. The horizontal motion of the projectile is the result of the tendency of any object in motion to remain in motion at constant velocity.

Due to the absence of horizontal forces, a projectile remains in motion with a constant horizontal velocity. Horizontal forces are not required to keep a projectile moving horizontally. Hence, The only force acting upon a projectile is gravity.


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A soccer ball (k = 2/3) with a radius of 0.101 meters and a mass of 0.400 kilograms rolls on a field with an angular speed of 93 radians per second. a. What is the translational kinetic energy of the ball? Include units in your answer.b. What is the rotational kinetic energy of the ball? Include units in your answer.c. The ball then rolls up a hill. What height will the ball reach before coming to rest? Include units in your answer. All answers must be in 3 significant digits.

Answers

Given,

The radius of the ball, r=0.101 m

The mass of the ball, m=0.400 kg

The angular speed of the ball, ω=93 rad/s

a.

The linear velocity of the ball is given by,

\(v=\omega r_{}\)

The translational kinetic energy is given by,

\(\begin{gathered} K_t=\frac{1}{2}mv^2 \\ =\frac{1}{2}m\omega^2r^2 \end{gathered}\)

On substituting the known values,

\(\begin{gathered} K_t=\frac{1}{2}\times0.400\times93^2\times0.101^2 \\ =17.6\text{ J} \end{gathered}\)

hus the translational kinetic energy of the ball is 17.6 J

b.

The moment of inertia of the ball is given by,

\(I=\frac{2}{3}mr^2\)

The rotational kinetic energy of the ball is given by.

\(\begin{gathered} K_r=\frac{1}{2}I\omega^2 \\ =\frac{1}{2}\times(\frac{2}{3}\times mr^2)\times\omega^2 \\ =\frac{1}{3}mr^2\omega^2 \end{gathered}\)

On substituting the known values,

\(\begin{gathered} K_r=\frac{1}{3}\times0.400\times0.101^2\times93^2 \\ =11.8\text{ J} \end{gathered}\)

hus the trotational kinetic energy of the ball is 11.8 J

.

From the law of conservation of energy, the energy can neither be created nor be destroyed but can be converted from one form to another.

When ball rolls up the hill the ball will lose its translational and rotational kinetic energy. But the lost kinetic energy will be converted into its gravitational potential energy.

Therefore, the gravitational potential energy of the ball when it is up the hill is equal to the sum of its translational and rotational kinetic energy.

Thus,

\(\begin{gathered} K_t+K_r=P \\ =\text{mgh} \end{gathered}\)

Where g is the acceleration due to gravity and h is the height that the ball will reach before coming to rest.

On rearranging the above equation,

\(h=\frac{K_t+K_r}{mg}\)

On substituting the known values,

\(\begin{gathered} h=\frac{17.6+11.8}{0.400\times9.8} \\ =7.5\text{ m} \end{gathered}\)

herefore the ball will treach a height of 7.5 m before coming to rest.

Three cars are driving at 29.0 m/s along the road shown in the figure (Figure 1). Car B is at the bottom of the hill and car C is at the top. Suppose each car suddenly brakes hard and starts to skid. Assume μk=1.00. What is the x-component of the tangential acceleration (i.e., the acceleration parallel to the road) of car A?

Answers

Since the car masses are unknown, we are unable to calculate the numerical value of the x-component of Car A's tangential acceleration.

How do kinetic and potential energy compare?

The energy that is held in any object or system as a function of its position or component arrangement is known as potential energy. The object or system is unaffected by external factors like air pressure or altitude. Kinetic energy, on the other hand, describes the power of moving particles within a system or an object.

They are being affected by the kinetic frictional force, which is caused by:

f = μk * N

Therefore,

fB = μk * N = μk * mB * g

Car C is at its highest point at the top of the hill, where the normal force acting on it is equal to the force of gravity. Therefore,

fC = μk * N = μk * mC * g

where mC is the mass of Car C.

For Car A, the x-component of the tangential acceleration is given by:

aA = (fB - fC) / mA

where mA is the mass of Car A.

We can substitute the following values and simplify by assuming that the mass of each of the three automobiles is the same:

aA = (μk * mB * g - μk * mC * g) / mA

aA = μk * g * (mB - mC) / mA

Since μk = 1.00 and g = 9.81 m/s², we can plug in the values and get:

aA = (mB - mC) * 9.81 / mA

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Three cars are driving at 29.0 m/s along the road shown in the figure (Figure 1). Car B is at the bottom

how long does it take energy to pass through the radiative zone

8 minutes A

100,000 years B

10,000 years C

100 years D

Answers

Time it takes energy to pass through radiative zone is :  A) 8 minutes

How long does it take energy to pass through radiative zone?

Energy generated in the core of the Sun takes about 8 minutes to pass through radiative zone and reach the top of convective zone. The radiative zone is a layer of the Sun that lies just outside the core and it is characterized by high density and high temperature.

In this zone, energy is transported by photons that bounce around between atoms and ions that make up the plasma of the Sun. This process is known as radiative diffusion and is relatively slow compared to convective transport of energy that takes place in the outer layers of Sun.

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can someone give me a 5 day fitness plan with all the reps and sets for 3 only and 4 exercises a day

Answers

Answer:

Classic 5 Day Split

Day 1 – Chest

Day 2 – Legs

Day 3 – Rest

Day 4 – Back

Day 5 – Arms

Day 6 – Shoulders

Day 7 – Rest  

Upper Lower Push Pull Legs

Day 1 – Upper

Day 2 – Lower

Day 3 – Rest

Day 4 – Push

Day 5 – Pull

Day 6 – Legs

Day 7 – Rest  

5 Day Split Variation

Day 1 – Chest

Day 2 – Legs & Shoulders

Day 3 – Back

Day 4 – Biceps & Triceps

Day 5 – Core & Cardio

Day 6 – Rest

Day 7 – Rest

Explanation:

What is Force ?.............​

Answers

Answer:

Push or pull of an object is considered a force. Push and pull come from the objects interacting with one another. Terms like stretch and squeeze can also be used to denote force.

In Physics, force is defined as:

The push or pull on an object with mass that causes it to change its velocity.

Force is an external agent capable of changing the state of rest or motion of a particular body. It has a magnitude and a direction. The direction towards which the force is applied is known as the direction of the force and the application of force is the point where force is applied.

A uniform solid cylindrical flywheel has a mass of 50 kg and a radius of 40 cm. The flywheel begins to rotate faster with an acceleration of 1.5 rad/s2. The kinetic energy of the flywheel after 1 minute of rotation is:
A. 16.2 KJ
B. 180 KJ
C. 40.5 KJ
D. 32.4 KJ

Answers

The kinetic energy of the flywheel after 1 minute of rotation, given that it has a mass of 50 and radius of 40 cm is 32.4 KJ (Option D)

How do I determine the kinetic energy?

We'll begin by obtaining the velocity of the flywheel. This is shown below:

Radius (r) = 40 cm = 40 / 100 = 0.4 mAcceleration (a) = 1.5 rad/s² = 1.5 × 0.4 = 0.6 m/s²Time (t) = 1 minute = 1 × 60 = 60 sVelocity (v) = ?

v = at

v = 0.6 × 60

v = 36 m/s

Finally, we shall determine the kinetic energy of the flywheel. Details below:

Mass (m) = 50 KgVelocity (v) = 36 m/sKinetic energy (KE) =?

KE = ½mv²

KE = ½ × 50 × 36²

KE = 25 × 1296

KE = 32400 J

Divide by 1000 to express in KJ

KE = 32400 / 1000

KE = 32.4 KJ

Thus, the kinetic energy is 32.4 KJ (Option D)

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HELP! Photo attached worth 60+ points

HELP! Photo attached worth 60+ points

Answers

The period of the wave from the calculation can be seen to be 10 s

What is the period of a wave?

When we talk about the period of the wave what we mean is the inverse of the frequency of the wave. Thus the period and the the frequency of the wave are actually the opposites of each other as we know in physics.

Given f = 0.10 Hz

T = 1/f = 1/0.10

T = 10 seconds

In the study of wave motion, the period of a wave is a crucial variable that is employed in many fields, such as optics, seismology, and communication systems.

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What is the melting pont of a champurrado?

Answers

Answer:

Well If the unknown is one of four possible compounds which melt at 102, 104, 106, and 108° C, it is most likely that which melts at 108° C. To summarize, an impure solid melts over a wide range and at a temperature lower than that of the pure solid.

Explanation:

I have known this since grade school

A spring with a spring constant of 200 N/m stretches by 0.03 m. What is the potential energy of the spring?

Answers

Answer: 0.09 J

Explanation: K = 200 N/m , 1/2 X 200 N/m X (0.03 M)^2 = 0.09 J

You push on a box with a net force of 5 N and it accelerates. What happens if you exert the same net force
on an object that has half the mass?
The object will accelerate four times as much.
The object will accelerate twice as much.
The object will accelerate one half as much.
The acceleration will remain unchanged.

Answers

You push on a box with net force of 5 N and it accelerates. If you exert  same net force on an object that has half the mass, then :The object will accelerate twice as much.

What is Newton's second law of motion?

Newton's second law of motion states that : acceleration of object is directly proportional to net force acting on it and inversely proportional to  mass. Therefore, if net force acting on object is constant, and mass is reduced by factor of 2, then its acceleration will be twice as much.

In this case, if you exert net force of 5 N on object with mass M, and it accelerates with acceleration A, then :

F = M*A; F is the net force applied.

If you exert same net force of 5 N on an object that has half the mass of the previous object, i.e., its mass is M/2, then its acceleration would be:

A' = F/(M/2) = 2F/M = 2A;  A' is the new acceleration of the object.

Object will accelerate twice as much if you exert the same net force on an object that has half the mass.

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