The answer is dy/dt is equal to -(20/7)(1/14)(0.6) = **-0.12245 m/s.**

The negative sign shows that the rate is falling as y **gets shorter**

.Woman Height/ Distance** Light To Woman** equals

Shadow Height/Distance** Light To Wall.**

**explanation?**

Think of a huge triangle with the origin as the spotlight, a base of 20, and the height of the shadow on the wall as y. Inside the larger triangle, a comparable triangle that is** x meters** from the spotlight and** 2 meters **

tall—the woman's height—can be seen.

Woman Height/ Distance Light To Woman equals

Shadow Height/Distance Light To Wall.

The shadow height is y. Let x be the distance from the woman to the light.

**xy = 40 or y/20 = 2/x**

Take both sides' derivative:

**XDY + YDX = 0** based on the product rule.

Solve for the desired result, dy/dy:

dy/dt = -(y/x)dx/dt, where **dx/dt = 0.6 m/s.**

The woman is 20 - 6 meters from the light when she is 6 meters from the wall, which is** 14 meters, or x.**

Keep in mind that y/20 = 2/x = 2/14 --> y = 40/14 = 20/7 from the related triangles.

So, dy/dt is equal to** -(20/7)(1/14)(0.6) = -0.12245 m/s.**

The negative sign shows that the rate is falling as **y gets shorter.**

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Please help me!!!!

Make a hypothesis on this question. Can you use density to identify eight cubes made of different materials?

The ratio of an object's mass to volume is known as its **density. Density** is defined as the product of** mass** and **volume**, or D = m/v. Because of the size, mass, and arrangement of each substance's atoms or molecules, each substance has a unique characteristic **density.**

Can density be used to identify a material?One of an object's most significant and practicable physical characteristics is density.

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what is the average velocity if the distance is 471,000,000km

I need to know too?

Tiana leaves her internship at the doctor's office and goes home to wake up her brother, Adam. Then, they both walk to the school together to watch a play by the Drama Club. What distance did Tiana cover?

The distance covered by **Tiana** is **greater than** the **distance** covered by the brother.

**Distance** is defined as the quantity that defines how far or near an object is from an observer which is normally measured in meters, kilometers and feet.

There are various ways by which **distance** can be **measured** which include the following:

From the scenerio created concerning **Tiana** and the brother, Tiana first left the doctors office to her friends house and they both left together to the school.

This shows that the **distance** covered by Tiana is greater than the distance covered by her brother.

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if the wire is oriented so that the current flows in the direction you chose for part (e), what would the mass per unit length of the wire, μ, in grams per meter, need to be for the magnetic force to balance the weight of the wire?

A **magnetic **force that is given by acts on a wire when a current I passes through it while it is in a consistent magnetic field (B). F = B I L where L is the conductor's length.

For thousands of years, people have been aware of magnets and magnetism. The earliest records are from Asia Minor, specifically from a place called **Magnesia**, which is where words like magnet first appeared.

Ancient people were intrigued by the **magnetic **rocks that were discovered in **Magnesia**, which is today a region of western Turkey. When people first discovered magnetic rocks, it's possible that they noticed that some of these rocks were more magnetically drawn to iron or other **magnetic **rocks than other portions.

The poles of a magnet are these regions. A magnet's magnetic pole is the area that attracts other magnets or magnetic materials, such iron, with the greatest force.

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the heating coil in a hair dryer is made of nichrome wire with a radius of 0.275 mm. if the coil draws a current of 8.85 a when there is a 120 v potential difference across its ends, find the following. (take the resistivity of nichrome to be 1.50 ✕ 10−6 ω · m.)

The **resistance** of the coil **R IS 12.435Ω** and The length of the wire that is calculated from R= ρL/A is ** L = 1.97 m.**

Electrical **resistance **is a force that opposes the flow of **current** and is hence resistance to electricity. In this sense, it acts as a gauge for the difficulty of **current **flow. Ohms () are used to measure resistance.

Electricity will flow from high to low when there is an electron difference between two terminals. In opposition to that flow is resistance. The **current **decreases with increasing resistance. Conversely, the higher the current, the lower the resistance. In theory, resistance is affected by the kind, temperature, and length of the material through which the electricity is flowing. Metals generally have low electrical resistance, which varies depending on the type of metal, which makes electricity flow through them more easily.

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a radioactive nucleus has a half-life of 5 × 108 years. consider a sample of rock (say, in an asteroid) that solidified right after the solar system formed (4.5 × 109 years ago).

Therefore, the current mass will be 0.0017002 times the sample's initial **mass**.

Given:

half life of the **sample** in question, t^=5 x 108 years

We are aware that the solar system formed roughly 4.6 x 109 years ago.

Let the starting amount for the solar system's formation **sample **be, mo

The current ultimate quantity would then be:

m = mo x (1/2) (t^/t)

m= mo x (1/2) 4.6 x 10^9/(5x10^8)

m= mo x 0.0017002

Therefore, the current **mass **will be 0.0017002 times the **sample**'s initial mass.

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Matter undergoes a physical change when it changes from one______ to another.

what's the answer?

**Answer:**

phase

**Explanation:**

Phases : solid liquid gas

**Answer:**

form or state. (Sometimes the teacher won't accept state as an answer.)

**Explanation:**

For matter to change when moving from a solid state, it would have to be physically altered to be in, say, a liquid state. It's still the same product, it just had to change form. Ex: Solid to liquid. When you take an ice cube and melt it, it is still the same water, it's just in a different form or state.

Hope this helps! :)

what are two properties of star

a size, distance

b size, temperature

c brightness, temperature

d speed, distance

e distance, brightness

**Answer: C. brightness, temperature**

**Explanation: This question doesn't fully make sense because there are basically multiple correct answers. A star has the properties of distance, luminosity, temperature, brightness, radius, etc .**

if a certain spring stretches 5.35226 cm when a load of 14.4393 n is suspended from it, how much will the spring stretch if it is cut in half and 24.1382 n is suspended from it? answer in units of cm.

The average force exerted as the **displacement** from 0 to x changes is 12kx. W = 12kx² is the work done when stretching or compressing a spring a distance x from its **equilibrium** position.

The Hooke's Law Calculator employs the formula Fs = -kx, where F is the spring's restoring force, k is the **spring constant,** and x is the displacement, or distance the spring is stretched. Hooke's Law states that when a spring is stretched, the force exerted is proportional to the increase in length from the equilibrium length. The **spring constant** can be calculated as follows: k = -F/x, where k is the **spring constant. **The Young's **modulus** (E) is a material property that indicates how easily it can stretch and deform. It is defined as the ratio of **tensile** stress () to tensile strain ().

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If an 800 kg roller coaster is at the top of its 50 high trackwill have a potential energy 392,000 J and a energy of This means the total mechanical energy is 392,000 the cart drops down to where its kinetic energy is now 92, 000J how high off the ground is the cart now?

Given data:

* The mass of the roller coaster is m = 800 kg.

* The total mechanical energy is E = 392000 J.

* The kinetic energy at the particular height (let h') is K = 92000 J.

Solution:

The potential energy of the roller coaster at h' is,

[tex]\begin{gathered} U=E-K \\ U=392000-92000 \\ U=300000\text{ J} \end{gathered}[/tex]The potential energy in terms of height and mass is,

[tex]U=\text{mgh}[/tex]where g is the acceleration due to gravity,

Substituting the known values,

[tex]\begin{gathered} 300000=800\times9.8\times h \\ 300000=7840\times h \\ h=\frac{300000}{7840} \\ h=38.3\text{ m} \end{gathered}[/tex]**Thus, the height of the roller coaster from the ground is 38.3 meters.**

a 100-hp 250-v 350-a shunt d.c. motor with an armature resistance of 0.05 ω. it is desired to design a starter circuit limits the maximum starting current to twice its rated value and which will switch out sections of resistance as the armature current falls to its rated value.

n= log(Ra/Rt)/log(Imin/Imax) ;= log(0.05/0.357)/log(350/700)= 2.84

**3** stages of starting **resistances **

A circuit's opposition to current flow is measured by its **resistance**. The Greek letter omega () stands for **ohms**, which are used to measure resistance. Georg Simon **Ohm **(1784–1854), a German physicist who examined the connection between voltage, current, and resistance, is the subject of the name "**Ohm**." Many parts have a set resistance value, including heating elements and resistors. In manuals or on nameplates of components, these values are frequently printed for reference.

If there is a tolerance listed, the measured resistance value must fall within the given resistance range. A issue is typically indicated by any appreciable change in a fixed-resistance value.

Although the word "resistance" may sound bad, it has positive uses in electricity. In an active circuit, resistance cannot be measured.

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a spherical cavity is hollowed out of the interior of a neutral conducting sphere. at the center of the cavity is a point charge, of positive charge q.

Only the charge present inside the cavity can explain the **electric field** that exists there. The electric field inside the hollow would remain unchanged as a result.

Each point in space has an **electric field **associated with it when there is **charge** present in any form. E, often known as electric field strength, electric field intensity, or just the electric field, is a mathematical constant that expresses the strength and direction of an electric field. To predict what would happen to electric **charges **nearby a specific point, one only needs to be aware of the value of the electric field there, without having any precise knowledge of what generated the field.

When one **charge** is thought of as the generator of an electric field that spreads outward into the surrounding space, the electric force is not thought of as a direct interaction of two electric charges that are separated from one another.

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Find the initial velocity of an object traveling at a constant acceleration of 3.9 m/s2

, if the

object traveled 70,000 meters for 12 hours. Round to nearest hundredths place

**Answer: 1.62 m/s**

**Explanation:**

Distance/time=speed

12 hours in minutes is 720

12x60=720

720 minutes in seconds is 43200

720x60=43200

70000/43200=1.62037

1.62 m/s

A block is released from rest on an inclined plane and moves 3 m during the next 4.1 s. The acceleration of gravity is 9.8 m/s 2 .

**Answer: angle = 2°**

**Explanation:**

**Let the angle of inclination be θ,**

**as shown in figure the forces equation on the block are as follows**

**Fsinθ = ma , where F=mg**

**mgsinθ = ma**

**sinθ = **[tex]\frac{a}{g}[/tex]....................eq1

now we know that s = ut + 1/2at*t

3 = 0+1/2at*t

6 = a*[16.81]

a = 0.357m/s*s

now put value of a in eq1

therefore sinθ = 0.357/9.8=0.0364

angle θ = 2°

our electric drill rotates initially at 5.47 rad/s.5.47 rad/s. you slide the speed control and cause the drill to undergo constant angular acceleration of 0.379 rad/s20.379 rad/s2 for 4.05 s.4.05 s. what is the drill's angular displacement during that time interval?

31.257 **radian **is the drill's **angular displacement **during that time interval.

initial angular speed ω0 = 5.27 rad/sec , ang.acceleration α = 0.399 rad/s2 , time t = 4.99 sec

angular displacement

θ = ω0 t + 1/2×αt^2

solving we get

θ = 31.257 rad

The angle at which a point revolves about a center or a line around a certain **axis **is known as the **angular displacement ** of a body. We cannot examine a body's motion as a particle when it is **moving **or being rotated on its axis.

**Rotational motion **is the movement of a rigid body about a fixed axis. When the body or item is thought of being rigid, dealing with **rotation **is made simpler and easier. At every moment (t), the item experiences a change in **acceleration **and velocity similar to circular motion.

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you have a summer job working for a basketball camp. the child who wins the dribbling competition can dribble a basketball with a frequency of 2.40 hz. how long does it take her to complete 10 dribbles?

It takes her 4.17s to complete 10 dribbles as **frequency** is 2.40hz

What do you mean by **frequency ?**

In physics, **frequency** is the number of** waves **that pass a fixed point in a unit of time as well as the number of c**ycles or vibrations **that a body in **periodic motion **experiences in a unit of time .A body traveling in periodic motion is considered to have experienced one cycle or one vibration after passing through a series of circumstances or locations and then returning to its starting point.**.** Th**e frequency** is 2 per second if the period, or time interval, needed to complete one cycle or **vibration** is 1/2 second; it is 100 per hour if the duration is 1/100 of an hour. In most cases, the **frequency is equal to the period, or time interval,** reciprocally, therefore **frequency = 1/period = 1. (time interval)**

**frequency **= 2.40hz

2.40 dribble is finished in one second

1 dribble takes 0.60 seconds to complete.

10 dribbles are finished in 1*10/2.40 = 4.17 seconds.

She completes 10 dribbles in 4.17 seconds since the **frequency** is 2.40 hertz.

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A refrigerator operates on average for 10.0 h a day if the power rating of the refrigerator is 700 W how much electrical energy does the refrigerator use in one day

If a refrigerator operates on average for 10.0 h a day if the **power **rating of the refrigerator is 700 Watts, then the **electrical **energy consumed by the refrigerator in one day would be 25200-kilo Joules .

The rate of doing **work **is known as power. The Si unit of power is the watt.

Power = work / time

As given in the problem If a **refrigerator **operates on average for 10.0 h a day if the power rating of the refrigerator is 700 Watts,

The electrical **energy **consumed by = power × time

= 700 × 10 × 3600

= 25200000 Joules

= 25200-kilo Joules

Thus, the **electrical **energy consumed by the refrigerator would be 25200-kilo Joules.

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an 5000 kg elevator is decreasing speed on the way up. the tension in the cable supporting the elevator is 40,000 n. what is the magnitude and direction of the acceleration of the elevator?

This **acceleration **will be expressed in decimal terms as 1.8 m/s square, and the direction of this investigation will be downhill and vertical.

There is an **elevator**, and it weighs a whopping 5000 kg. assuming that it has also been revealed that the elevator is supported by a cable. And it has been noted that the 40,000 newtons of tension in the wire holding this **elevator**. Four into ten is thus equal to four newtons. Additionally, we must ascertain the elevator's magnitude and **acceleration**. So let's think about E. S. The acceleration that we must here calculate. Wheat will therefore follow the accelerator and will be moving downward. We multiply mass by the gravitational acceleration to obtain weight.

The mass is 5000, then. This is multiplied by 9.8 To obtain the weight of 49,000 Newtons, it is necessary to apply 40,000 Newtons of tension. Therefore, it can be seen that the downward force is greater than the tension. Therefore, we can infer that the **acceleration **in this case will be in the downward direction and that the net force will also be in that direction. Additionally, the mass of the accelerator will be divided by the net force to get the acceleration. So let's start by calculating the net force. Therefore, that will be MG – t. And according to Newton's second law, this will be equal to mass times the acceleration.

Therefore, from this point on, we will receive 9000 when we subtract the tension from the weight. And when we divide by 5000, which is the elevator's mass, we arrive at the acceleration, which works out to be roughly nine by five m per second square. The acceleration will be expressed in decimal terms as 1.8 m/s square, and this exploration will be conducted vertically downward.

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Which diagram represents the postulate that states exactly one line exists between any two points?

B

Intro

#/108 core leam edgenuit

A

B

B

0000

A

B

Done

**Answer:**

A.BB is 000 with A.B is 0.00

extend your answer to question 5: what will be the final velocity of cart b if it is infinitely more massive than cart a? what will be the maximum velocity of cart b when it is of infinitesimal mass compared to cart a?

A common occurrence is the **collision** of a moving object with another object, after which both objects stick together. Because there is no bounce, such a **collision** is referred to as** inelastic**.

**Inelastic collisions** occur when** kinetic energy** is lost. An **elastic collision**, on the other hand, is one in which the **kinetic energy **after is equal to the** kinetic energy** before.** Inelastic collisions** occur when there is some "bounce" but the** final kinetic energy **is less than the** initial kinetic energy**. A **collision **with no bounce is sometimes referred to as completely** inelastic**.** Collisions **that are completely** inelastic** result in the objects sticking together and lose the most** kinetic energy**.

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33. Five forces act on an object: (1) 60 N at 90°,

(2) 40 N at 0°, (3) 80 N at 270°, (4) 40 N at

180°, and (5) 50 N at 60° What are the magni-

tude and direction of a sixth force that would

produce equilibrium?

**Answer:**

See below

**Explanation:**

If you draw the vectors, you will see the 40 N 's cancel out

and you are left with 20 N at 270 and 50 N at 60 (see diagram)

find R... then the 'balancing' R will be of same magnitude in opposite (+180 degrees) direction

x component of 50 N 50 cos 60 = 25 N

y component of 50 N 50 sin 60 = 43.3 N

So now you have 25 N in x direction and (43.3 -20) = 23.3 N at 90 deg

R Magnitude = sqrt( 25^2 + 23.3^2 ) = 34.2 N

R angle = arctan ( 23.3/25) = ~43 degrees

So balancing force would be 34.2 N at (43+180) = 223 degrees

planet a has mass 3m and radius r, while planet b has mass 4m and radius 2r. they are separated by center-to-center distance 8r. a rock is released halfway between the planets’ centers at point o. it is released from rest. ignore any motion of the planets.

a. Expression for magnitude of the **acceleration **is** GM/16R²** b. magnitude of the acceleration is **1.33 e^-5 ms^-2** .

Because the direction is always shifting, motion on a circle **accelerates **even while the speed is constant. Both effects add to the acceleration for all other types of motion. It is a vector quantity because acceleration has both a magnitude and a direction. Another vector quantity is **velocity**. The **velocity **vector change during a certain period of time, divided by that period of time, is the definition of acceleration. Acceleration requires a change in speed, direction, and rate of change. An object experiences constant acceleration when its **velocity **changes at the same rate every second. Whether an object is accelerating or decelerating determines the direction of acceleration. The force of gravity causes an item in free fall to fall. An object has positive acceleration when it is going faster than it was previously. Positive acceleration was demonstrated by the moving car in the first scenario. The acceleration is in the same direction as the car's motion since the vehicle is moving ahead and accelerating.

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water flows steadily through the nozzle show discharging to atmosphere. calculate the horizontal component of force in the flanged joint. indicate whether the joint is in tension or compression.

The **horizontal componen**t of **force **in the flanged join and the indicator of whether the joint is in the tension of **compression **are

This is further explained below.

What isGenerally,

[tex]A_1 Y_1=A_2 V_2 \\\\ A_1=\frac{\pi}{4}(0.30)^2, A_2=\frac{\pi}{4}(0.15)^2, \quad V_1=1.5 \mathrm{~m} / \mathrm{s}\end{gathered}\\ \\$eqn $A_1 V_1 &=A_2 V_2 \\\\ \frac{\pi}{4}(0.30)^2 \times(1.5) &=\frac{\pi}{4}(0.15)^2 V_2 \\\\\frac{\pi}{4}(0.09) \times(1.5) &=\frac{\pi}{4}(0.0225) V_2 \\[/tex]

0.07 *1.5 =0.01767 V_2

0.106 =0.01767 V_2

V_2 =0.10610 .01767

[tex]V_2=5.998 \approx 6m/s[/tex]

By moment Equation

[tex]\begin{aligned}&\quad \sum F_x=n^{\circ}\left(V_2 x-V_1 x\right] \\\\&P_x+P_1 A_1=\left(P_1 A_1 V_1\right)\left[V_2 \cos 30^{\circ}-V_1\right] \\\\&P=15 \mathrm{k} \quad 1000 \mathrm{~kg} / \mathrm{m}^3, V_1=10^3, A_1=\frac{\pi}{4}(0.30)^2, V_1=1.5 \mathrm{~m} / \mathrm{s} / \mathrm{s}\end{aligned}[/tex]

[tex]P=100kg/m^3 , V_2=6m/s[/tex]

[tex]\begin{aligned}R_x+P_1 A_1=\left(P A_1 V_1\right)\left[V_2 \cos 30^{\circ}-V_1\right] \\\\R_x+\left(15 \times 10^3\right)\left(\frac{\pi}{4}(0.30)^2\right) &=\left(1000 \times \frac{\pi}{4}(0.30)^2 \times 1.5\right)(6 \cos 30-1.5) \\\\R_x+\left(15 \times 10^3\right)(0.07) &=(1000 \times 0.106)(5.196-1.5) \\\\R_x+1050 \quad &=(106)(3.696) \\\\R_x &=391.776-1050 \\\\R_x &=-658.224\end{aligned}[/tex]

In conclusion, Hence the sign is negative, which means the force acts to the left.

Therefore, the force is **compression**

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CQ is attached below

If an astronaut weighs 148 N on the Moon and 893 N on Earth,

then what is his mass on Earth?

**Answer:**

91 kg

**Explanation:**

F = m a

893 = m *9.81 m/s^2

91 kg

If an **astronaut weighs** 148 N on the Moon and 893 N on Earth, his **terrestrial mass** is 91 kg

Therefore,

F = m a

893 = m × 9.81 m/s^2

91 kg

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What is the range of values and the percentage uncertainty of of the volume

measurement (10.05±0.08)mL

**Answer:**

Range of values: [9.97, 10.13] or 0.16 ml

Percentage uncertainty = 0.0.796%

**Explanation:**

Since there is an uncertainty of ±0.08 ml, the minimum is

10.05 - 0.08 = 9.97

Maximum with uncertainty = 10.05 + 0.08 = 10.13

So the min, max range is [9.97, 10.13] which is a spread of 0.16

Uncertainty as a percentage

= (0.08/10.05) x 100

= 0.0.796%

dark energy has been hypothesized to solve which problem? the universe is expanding. the cmb is too smooth. the expansion of the universe is accelerating. stars orbit the centers of galaxies too fast.

Dark energy has been **hypothesized **to solve The expansion of the universe is accelerating.

Functional **behavioural **assessment, or FBA for short, is used to examine a student's behaviour in order to determine the fundamental driving force behind the **behaviour**.As they apply the scientific method to learn more about the world, hypotheses are the questions that scientists ponder. People also employ the procedure of forming then attempting to refute a hypothesis in their daily lives. The purpose of the hypothesis is to organise the process of comprehending how the world operates. After the **behaviour **has been identified and information about the circumstances surrounding the student's activities has been gathered, the next step is to construct a **hypothesis**, which is a declaration that enumerates the conduct, what came before it, and its presumed purpose.

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2

When you drop a 0.37 kg apple, Earth ex-

erts a force on it that accelerates it at 9.8 m/s²

toward the earth's surface. According to New-

ton's third law, the apple must exert an equal

but opposite force on Earth.

If the mass of the earth 5.98 x 1024 kg, what

is the magnitude of the earth's acceleration

toward the apple?

Answer in units of m/s².

The earth's **acceleration** toward the apple is 6.064×10⁻²⁵ m/s²

**What is acceleration?**

The rate at which an object's** velocity **with respect to time changes is referred to as **acceleration** in mechanics. It is a** vector **quantity to accelerate (in that they have magnitude and direction). The direction of the net force acting on an object determines the direction of its **acceleration. **According to **Newton's Second Law**, the amount of an object's **acceleration **is the combined result of two causes:

The **amount** of the net resultant force, which is directly** proportional **to the sum of all external forces acting on that object;

Depending on the** materials** used to create it, an object's mass is inversely related to its** magnitude.**

Force on earth = 0.37×9.8 = 3.626N.

**Acceleration** of earth = 3.626/5.98×10²⁴ = 6.0635×10⁻²⁵ m/s²

Therefore, The earth's **acceleration** toward the apple is 6.064×10⁻²⁵ m/s²

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a. A 2.0 kg object is moving to the right with a speed of 1.0 m/s when it experiences the force shown in Figure P9.7a. What are the object's speed and direction after the force ends?

b. Answer this question for the force shown in Figure P9.7b.

The speed of the object is** 3.0m/s **and the direction is** equal** to the direction** **of its **initial velocity.**

Given:**mass** of the object m=2.0kg

object's **constant velocity** before the action of the force v0=1.0m/s

From the graph of the **force against time**,

we can see that the **force is constant (F=8.0N**)

and it only acts for** Δt=0.5s** in the **same direction** of the object's motion (positive direction, to the right).

Now, using **impulse-momentum theorem**,**J=Δp****The impulse of the force equals the variation in the object's linear momentum. **

In scalar form, along the motion's direction, we can write:**FΔt=Δp**

The variation in the linear momentum equals:** FΔt=mvf−mv0, **

where: vf is the unknown final velocity.

Solving for vf, we have:

vf=8.0N⋅0.5s2.0kg+1.0m/s

= **3.0m/s**

The object's velocity after the force ends equals **3.0 m/s,** moving to the **right. **

The **force increases** the velocity of the object because it acts in the **same direction** as the initial velocity.

Therefore, the object's speed is **3m/s** and the direction is the **same direction as the initial velocity**.

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300kg times 4m/s^(2)

*I'm guessing that you need the force, since the question doesn't specify I'll just use the force equation. If this is not what you wanted let me know in the comments section of this answer.*

- F = 300 x 4

- F = 1200 N (newtons)

There is a bell at the top of a tower with a mass of 20kg. If it had 8829 J of gravitational potential energy, estimate how many floors the tower has.

**Answer:**

10 floors

**Explanation:**

We are told that a bell of mass **20 kg **is atop a tower and has **8829 J **of gravitational energy. The question asks us to estimate the number of floors the tower has.

To do this, we must first calculate how high above the ground the bell is. We can do that using the formula for gravitational potential energy:

[tex]\boxed{g.p.e = mgh}[/tex],

where:

• g.p.e = gravitational potential energy (**8829 J**)

• m = mass of object (**20 kg**)

• g = acceleration due to gravity (approximately **10 m/s²**)

• h = height of object above ground (? m).

Using the above information and formula, we can **solve for *** h*:

g.p.e = [tex]20 \times 10 \times h = 8829[/tex]

⇒ [tex]200 h = 8829[/tex]

⇒ [tex]h = \frac{8829}{200}[/tex]

⇒ [tex]h = \bf 44.145 \ m[/tex]

Therefore the bell is **44.145 m **above the ground, which means that the **height of the tower** is also 44.145 m.

One floor of a building can be estimated to be around **4.3 m**, therefore the number of floors the tower has is:

44.145 ÷ 4.3

≈ **10**

Therefore there are **10 floors **in the tower.

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