Unimpressed with your previous stunt, the director of the new James
Bond movie has come to you with a more exciting idea. In this stunt,
Bond will run towards a bridge that is 18m above a river. His partner
is in a speedboat 60 meters away from the bridge. Bond jumps
horizontally off the bridge with a speed of 6.7 m/s toward where
his partner is waiting. Starting from rest, his partner begins racing
toward the bridge the moment Bond jumps. What is the minimum
acceleration his partner will need in order to catch Bond before he
hits the water?

Answers

Answer 1

Answer:

The minimum acceleration his partner will need in order to catch Bond before he hits the water is 25.688 meters per square second.

Explanation:

Let be the initial position of the sppedboat the reference location, James Bond jumps horizontally and experiments a parabolic motion, which consists in a horizontal motion at constant velocity and an vertical uniform accelerated motion due to gravity.

Speedboat must accelerate from rest and get Bond at right location and instant. Now we describe the appropriate equations of motion for James Bond and for the speedboat:

James Bond

[tex]x_{B} = x_{B,o} + v_{B,o,x} \cdot t[/tex]

[tex]y_{B} = y_{B,o} + v_{B, o, y}\cdot t + \frac{1}{2}\cdot g \cdot t^{2}[/tex]

Speedboat

[tex]x_{S} = x_{S,o}+v_{S,o}\cdot t + \frac{1}{2}\cdot a_{S}\cdot t^{2}[/tex]

Where:

[tex]x_{B,o}[/tex], [tex]x_{S,o}[/tex] - Initial horizontal positions for James Bond and the speedboat, measured in meters.

[tex]x_{B}[/tex], [tex]x_{S}[/tex] - Current horizontal positions for James Bond and the speedboat, measured in meters.

[tex]v_{B,o,x}[/tex], [tex]v_{S,o}[/tex] - Initial horizontal velocities of James Bond and the speedboat, measured in meters per second.

[tex]v_{B,o, y}[/tex] - Initial vertical velocity of James Bond, measured in meters per second.

[tex]t[/tex] - Time, measured in seconds.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

[tex]a_{S}[/tex] - Acceleration of the speedboat, measured in meters per square second.

We must observe the following conditions such as we may calculate the minimum acceleration of the speedboat:

1) [tex]x_{B} = x_{S}[/tex]

2) [tex]y_{B} = 0\,m[/tex]

Now, if we know that [tex]x_{B,o} = 60\,m[/tex], [tex]x_{S,o} = 0\,m[/tex], [tex]y_{B, o} = 18\,m[/tex], [tex]y_{B} = 0\,m[/tex], [tex]v_{B,o, x} = -6.7\,\frac{m}{s}[/tex], [tex]v_{S,o} = 0\,\frac{m}{s}[/tex], [tex]v_{B,o,y} = 0\,\frac{m}{s}[/tex] and [tex]g = -9.807\,\frac{m}{s^{2}}[/tex], the resulting system of equations is:

[tex]60\,m +\left(-6.7\,\frac{m}{s} \right)\cdot t = 0\,m +\left(0\,\frac{m}{s} \right)\cdot t +\frac{1}{2}\cdot a_{S}\cdot t^{2}[/tex]

[tex]\frac{1}{2}\cdot a_{S}\cdot t^{2} +\left(6.7\,\frac{m}{s} \right)\cdot t -60\,m = 0[/tex] (Eq. 1)

[tex]0\,m = 18\,m +\left(0\,\frac{m}{s} \right)\cdot t +\frac{1}{2}\cdot \left(-9.807\,\frac{m}{s^{2}} \right) \cdot t^{2}[/tex]

[tex]\frac{1}{2}\cdot \left(-9.807\,\frac{m}{s^{2}} \right) \cdot t^{2}+18\,m = 0[/tex] (Eq. 2)

At first we get the time from (Eq. 2) by using the Quadratic Formula:

[tex]t_{1} \approx 1.916\,s[/tex] and [tex]t_{2}\approx -1.916\,s[/tex]

Only the first root is physically reasonable. ([tex]t\approx 1.916\,s[/tex])

Then, we substitute time in (Eq. 1) and clear the acceleration of the speedboat:

[tex]\frac{1}{2}\cdot a_{S}\cdot (1.916\,s)^{2} +\left(6.7\,\frac{m}{s} \right)\cdot (1.916\,s) -60\,m = 0[/tex]

[tex]1.836\cdot a_{S}-47.163\,m = 0[/tex]

[tex]a_{S} = 25.688\,\frac{m}{s^{2}}[/tex]

The minimum acceleration his partner will need in order to catch Bond before he hits the water is 25.688 meters per square second.


Related Questions

A .What is the difference between fossils fuels and nuclear fuel ?

B .Explain why it is important for us to find alternatives to fossil fuels to meet pur energy?

C .What are renewable energy sources?give three examples.

Answers

Answer:

A. Nuclear and fossil fuel-burning power plants differ mainly in where their energy comes from; a nuclear reactor produces heat from radioactive metals, and a fossil-fuel plant burns coal, oil or natural gas.

B. Environmental and economic benefits of using renewable energy include: Generating energy that produces no greenhouse gas emissions from fossil fuels and reduces some types of air pollution. Diversifying energy supply and reducing dependence on imported fuels

C. These are energy sources that are constantly being replenished, such as sunlight, wind, and water.

The most popular renewable energy sources currently are:

Solar energy.

Wind energy.

Hydro energy.

Tidal energy.

Geothermal energy.

Biomass energy.

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Give some hypothetical examples where destroying evidence might leave more that could identify you.

Answers

Faced with evidence that seems to contradict a hoped-for-finding, people may object to the study’s methodology. This is a example of where destroying evidence might leave more that could identify you.

If a person and wheelchair have a combined weight of 185 lb, how much ideal effort
force is required to travel up the ramp?

Answers

Answer:

Effort force[tex]=824.04 \sin\theta[/tex]

where [tex]\theta[/tex] is the angle of inclination of the ramp.

Explanation:

The given combined mass of a person and wheelchair is 185 lb.

In SI unit, 1 pound= 0.453592 kg

So, 185 lb=[tex]185\times0.453592[/tex] kg=84kg (approximately)

Assuming the whole mass as a point mass and denote it by M, so

M=84kg

Let the angle of inclination of the ram with the is [tex]\theta[/tex] with respect to the ground and assume that the friction offered by ram id negligible, so neglection the frictional force.

The applied effort force, F, will be minimum when applied in the direction parallel to the ramp surface as shown in the figure.

The gravitational force action on M is Mg in the downward direction.

For the mass M to be at an equilibrium condition on the ramp, the sum of the total force in any direction will be zero.

Equate the sum of all the forces in the direction parallel to the ramp to zero.

[tex]F-Mg\sin\theta=0[/tex]

[tex]\Rightarrow F=Mg \sin\theta[/tex]

[tex]\Rightarrow F=84\times 9.81\sin\theta[/tex]

[tex]\Rightarrow F=824.04\sin\theta N[/tex].

Solar panels work because photons from the sun give their energy to electrons in the panels (photoelectric effect). At noon on a typical day in San Diego, the power of the visible radiation from the sun is about 225 Watts per square meter. If you had solar panels on your roof covering an area of 2 meters by 6 meters, and the efficiency of the panel was 13% (meaning that 13 out of every 100 photons hitting the panel sent an electron down the wire), how many electrons per second would you get

Answers

Answer:

The number of electrons per second received by the panel is 2.19 x 10²¹ electrons/second

Explanation:

Given;

intensity of light, I = 225 W/m²

area of the solar panel, A = 2m x 6m = 12m²

Power of photons hitting the panel = 225 W/m² x 12m² = 2700 W

Power received by the electrons in the panel = 0.13 x 2700 W = 351 W

Energy of these electrons = 351 J/s

The number of electrons per second is given by;

[tex]= \frac{1 \ electron}{1.602*10^{-19} \ J} *\frac{351 \ J}{s} = 2.19*10^{21} \ electrons/second[/tex]

Therefore, the number of electrons per second received by the panel is 2.19 x 10²¹ electrons/second

A projectile is launched at an angle into the air at velocity v and angle 0. Determine its vertical acceleration.
The answer choices are in the picture.

Answers

The acceleration due to gravity only points downward with magnitude g. The angle of the projectile doesn't matter.

2. A fish swimming at a constant speed of 18 m/s spots a sta-
tionary barracuda. Just as the fish passes the barracuda, the
predator begins swimming with a constant acceleration of
magnitude 2.2 m/s². The fish and barracuda are moving in the
same direction.
(a) How far does the barracuda swim before catching the fish?
(b) At what time will this occur? (Hint: Graphing may help you
visualize this problem.)
пип

Answers

Answer:

  a) 294.55 meters

  b) 16.4 seconds

Explanation:

The suggested graph shows ...

(a) The barracuda swims 294.55 meters before the it catches the fish.

__

(b) This occurs after about 16.4 seconds.

Define physical laws​

Answers

Answer:

physical law (plural physical laws) A universal statement about the operation of nature, based on empirical observations of physical behavior, tested using scientific method.

Explanation:

Which of these is only a physical change?
A. Melting a solid
B. Burning
C. Rusting
D. Forming a precipitate

Answers

I think it would be D but I’m not completely sure.

Which question cannot be answered through making measurements?
A. How much carbon dioxide is released into the atmosphere when a
square mile of tropical rain forest burns?
B. Should the government invest in technologies that can reduce the
rate of global warming?
C. Which human activities contribute to global warming?
D. What is the relationship between carbon dioxide emissions and
average global temperature?

Answers

Answer: it would be A

Explanation: how are we to measure the air of a square mile

Answer: Should the government invest in technologies that can reduce the

rate of global warming?

Explanation: Trust me

There are two containers of equal volumes, each filled with a different gas. Both containers have the same number of moles of gas and are at the same temperature. The molecules of gas in container 1 are four times more massive than the molecules of gas in container 2. The number of moles in container 2 is increased until it is a factor of 4 larger than the number of moles in container
1. The volume and temperature of container 2 remain unchanged. After increasing the number of moles in container
2: Which container, 1 or 2, has a higher pressure, or are they the same? Which container, 1 or 2, has a higher average (rms) speed of gas molecules, or are they the same? Which container, 1 or 2, has a higher average kinetic energy of gas molecules, or are they the same? Which container, 1 or 2, has a higher thermal energy, or are they the same?

Answers

Answer:

Molecules in container 2 has a higher pressure.

Molecules in container 2 has a greater rms speed.

Molecules in container 2 has a greater kinetic energy.

Molecules in container 2 has a greater thermal energy.

Explanation:

At constant volume and temperature, The number of moles of a gas is proportional to its pressure.

The lower the pressure, the lesser the rms speed of molecules, kinetic energy of the molecules and thermal energy of the molecules, hence the answer above.

Forces of 11.9 N north, 19.1 N east, and 14.4 N south are simultaneously applied to a 3.77 kg mass as it rests on a frictionless air table. What is the magnitude of its acceleration?

Answers

Force Vector = <19.1i+11.9j-14.4j>N
Force Vector = <19.1i-2.5j>N
Acceleration Vector =(Force Vector)/mass
Acceleration Vector =<19.1i-2.5j>N/3.77
Acceleration Vector =<5.0663i-0.6631j>m/s^2
|a| = (5.0663^2+(-0.6631)^2)^0.5
|a| = 5.11 (m/s^2)

What is the average speed of a dancer who moves 4 meters across the stage in 16 seconds?

Answers

Answer:

[tex]v=0.25 \frac{m}{s}[/tex]

Explanation:

Hello,

In this case, since the average velocity is computed as the change in the distance divided by the elapsed time:

[tex]v=\frac{\Delta x}{\Delta t}[/tex]

As 4 m were displaced in 16 seconds, the average speed turns out:

[tex]v=\frac{4m}{16s} \\\\v=0.25 \frac{m}{s}[/tex]

Best regards.

A train running along a straight track at 32.90 m/s is slowed at a rate of 0.783 m/s/s to a stop how far did the train travel before coming to rest ?​

Answers

Answer:

The distance traveled by the train is 691.2 m

Explanation:

Given;

initial velocity of the train, u = 32.9 m/s

deceleration of the train, a = - 0.783 m/s²

final velocity of the train when brought to a stop, v = 0

The distance traveled by the train is given by;

v² = u² + 2as

0 = (32.9)² + 2(-0.783)s

0 = 1082.41 - 1.566s

1.566s = 1082.41

s = 1082.41 / 1.566

s = 691.2 m

Therefore, the distance traveled by the train is 691.2 m

Help please it’s due by 11:59p

Answers

Answer: 6 m/s squared

Explanation:

6m/s squared. Hope this helped

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The items in a mixture can be returned to their original form.
True
False

Answers

I believe it’s false.

Answer:

I believe it is true

If not, pls let me know. :)

Two cars A and B are 100m apart moving towards each other with
velocity 40m and 60m's respectively calculate the time the meet
each other and the time they are 100m apart in their opposite destinations. ​

Answers

Let car A's starting position be the origin, so that its position at time t is

A: x = (40 m/s) t

and car B has position at time t of

B: x = 100 m - (60 m/s) t

They meet when their positions are equal:

(40 m/s) t = 100 m - (60 m/s) t

(100 m/s) t = 100 m

t = (100 m) / (100 m/s) = 1 s

so the cars meet 1 second after they start moving.

They are 100 m apart when the difference in their positions is equal to 100 m:

(40 m/s) t - (100 m - (60 m/s) t) = 100 m

(subtract car B's position from car A's position because we take car A's direction to be positive)

(100 m/s) t = 200 m

t = (200 m) / (100 m/s) = 2 s

so the cars are 100 m apart after 2 seconds.

Q3. What is the symbol for a :-
(a) millimeter
(b) micrometer
(c) centimeter
(d) kilometer
(e) metre
(f) nanometer​

Answers

Explanation:

a. mm

b. μm

c. cm

d. km

e. m

f. nm

A 25.0 kg bag of peat moss sits in the back of a flatbed truck, driving up a hill. The bag experiences a 225N normal force. The maximum acceleration the truck can have so the bag does not slip is 2.40 m/s2 . Calculate the (a) angle of the hill relative to horizontal and (b) coefficient of static friction between the bag and the truck. (c) The truck is now travelling on level ground at constant speed. The sand bag is tossed forward sliding along the truck bed with a horizontal speed of 2.55 m/s. If the coefficient of kinetic friction is 0.350, how far does the bag slide before coming to rest

Answers

Answer:

a

   [tex]\theta  =  23.32^o [/tex]

b

  [tex] \mu_s =  0.27  [/tex]

c

[tex] s = 0.948 \ m [/tex]

Explanation:

From the question we are told that

The mass of the bag is [tex]m_b = 25.0 \ kg[/tex]

The normal force experienced is [tex]F_n = 225 \ N[/tex]

The maximum acceleration of the bag is [tex]a = 2.40 \ m/s^2[/tex]

Generally this normal force experience by the bag is mathematically represented as

[tex]F_n = mg cos \theta[/tex]

=> [tex]225 = (25 * 9.8) cos \theta[/tex]

=> [tex] 0.9183 = cos \theta[/tex]

=> [tex]\theta = cos^{-1}[0.9183][/tex]

=> [tex]\theta = 23.32^o [/tex]

Generally for the bag not to slip , it means that the frictional force is equal to the sliding force

[tex]F_f = F_s[/tex]

Hence [tex]F_f [/tex] is mathematically represented as

[tex]F_f = \mu_s * F_n [/tex]

While [tex]F_s [/tex] is mathematically represented as

[tex]F_s = m * a [/tex]

So

[tex] \mu_s * F_n = m * a [/tex]

=> [tex] \mu_s * 225 = 25 * 2.40 [/tex]

=> [tex] \mu_s = 0.27 [/tex]

Generally from the workdone equation we have that

[tex]KE_f - KE_i = W_f[/tex]

Here [tex]W_f[/tex] is the work done by friction which is mathematically represented as

[tex]W_f = m * g * \mu_k * s[/tex]

Here s is the distance covered by the bag

[tex]KE_f[/tex] is zero given that velocity at rest is zero

and

[tex]KE_i = \frac{1}{2} * m* v_i^2[/tex]

so

   [tex] \frac{1}{2}  *  m* v_i^2 = m * g * \mu_k * s [/tex]

=>  [tex] \frac{1}{2}  *  v_i^2 =   g * \mu_k * s [/tex]

substituting  2.55 m/s for v_i and 0.350 for  \mu_k  we have that

     [tex] \frac{1}{2}  *  2.55^2 =   9.8 * 0.350 * s [/tex]

=> [tex] s = 0.948 \ m [/tex]

Let A be the last two digits, and let B be the last three digits, and the C be the sum of the last 4 digits of your 8-digit student ID. (Example: For 20245347, A = 47, B = 347, and C = 19) A train moves at an average speed of (23.0 + A) m/s for (250.0 + B) seconds and then at an average speed of (45.0 + C) m/s for (800.0 + B) seconds. Determine the average speed for the entire time in meters per second (m/s). Round your final answer to 3 significant figures.

Answers

Answer:

66.053m/s

Explanation:

A = 47

B = 347

C = 19

Train moves at

(23 + A)m/s

= 23 + 47 = 60m/s

At (250.0+B) seconds

250.0+347 =

547 seconds

Distance d,

= 70 x 597

= 41790

It also moves at

(45.0 + c)

= 45 + 19

= 64m/s

Time = 800 + B

= 800 + 347

= 1147

Distance,

= 64 x 1147

= 73408m

Total distance,

= 73408 + 41790

= 115,198

Total time,

= 597 + 1147

= 1744

Average speed,

= Total distance / total time

= 115198/1174

= 66.053m/s

A car is coasting to a stop with a constant acceleration. The car was going 35 m/s when the driver started coasting. The car moves 50. m forward while slowing down.

Show this on a vt graph.


Determine the acceleration of the car.

Answers

Answer: Plot each graph on the same coordinate system.

35  ( m/ s)

50 m

a v t.

Answer:

I think the car is accelerating at 85 m/s because the car is moving at 35/m plus when it was coasting it went 50.

Explanation:

Sorry I dont have a graph but here is what I think about on the acceleration.

Using a set of observations to test a hypothesis.

Answers

Is this the fully question ?
can you explain it more I think I could help?

A car in a roller coaster moves along a track that consists of a sequence of ups and downs. Let the
x axis be parallel to the ground and +y axis point upward. In the time interval from t=0 to t=4 s the trajectory of the caralong a certain section of the track is given by
→r=A(1 m/s)t^i+A((1 m/s3)t3−6(1 m/s2)t2)^j, where A is positive dimensionless constant.a. At t=2.0s is the roller coaster car ascending or descending?
b. Derive a general expression for the speed v of the car. Make sure that your expression would give the correct value for the speed (in m/s), but you don't need to put in anything explicitly about units (unlike what you see in the original expressionfor →r. Express your answer in meters per second in terms of A and t.

Answers

Answer:

Explanation:

r=A(1 m/s)t^i+A((1 m/s3)t3−6(1 m/s2)t2)^j,

dr / dt = A i  + (3 A t² - 6 x 2 t ) j

At t = 2

dr / dt = A i  + (12A - 24 A ) j  = A i - 12 A j .

Since slope is negative so velocity is downwards , hence it is descending

b ) velocity = dr / dr =  .  A i  + (3 A t² - 6 x 2 t ) j

Vx = A

Vy = 3A t² - 12 t

When a ball is thrown straight up with no air Resistance, the acceleration is in what direction ?

Answers

Answer:

The ball has a velocity upwards but the acceleration is downwards. Gravity is giving the ball a downwards acceleration from the moment the ball leaves the hands.

2. The visible region of the hydrogen spectrum results from relaxation of electrons from excited states to energy level 2 (n1). Use the Rydberg equation and your measured wavelengths to determine the energy transitions associated with each of your observed wavelengths for hydrogen. In other words, calculate the excited state energy level (n2) for each of your observed wavelengths for hydrogen. n has integer values; so, calculate it first with appropriate significant digits, then round it to an integer. Use the key to show your work for at least one calculation. Must show energy levels for each hydrogen wavelength.

Answers

Answer:

E = 1.89 eV ,   E = 2.56 eV ,  E = 2.86 eV

Explanation:

The emission of light in the visible range, explained by the Balmer series with expression

            1 /λ= [tex]R_{H}[/tex] (1/2² - 1 / n²)

            n = 3, 4, 5 ...

the constant R_{H} called Rydberg's constant and is equal to 1,097 10⁷ m⁻¹

These transitions are clearly explained by Bohr's atomic model, where the empirical series of Balmer and Rydberg are deduced from a theoretical model of the hydrogen atom in natural form.

Let's calculate the wavelengths for each transition

State

initial   final  λ (10⁻⁷ m)

3           2     6.5634

4           2     4.8617

5           2    4.3408

Let's calculate the energy of each of these wavelengths using Planck's equation

          E = h f = h c /λ

λ = 6.5634 10⁻⁷ m

          E = 6.63 10⁻³⁴ 3 10⁸ / 6.5634 10⁻⁷

          E = 3.03 10⁻¹⁹ J

we reduce to eV

         E = 3.03 10⁻¹⁹ J (1 eV / 1.6 10⁻¹⁹ J)

         E = 1.89 eV

λ = 4.8617 10⁻⁷m

         E = 6.63 10⁻³⁴ 3 10⁸ / 4.8617 10⁻⁷

          E = 4.09 10⁻¹⁹ J

     

          E = 2.56 eV

λ= 4.3408 10⁻⁷ m

           E = 6.63 10⁻³⁴ 3 10⁸ / 4.3408 10⁻⁷

           E = 4.582 10⁻¹⁹J

           E = 2.86 eV


16. A kettle used at a building site is filled with 25 liters of water at 16 °C. The water is heated until it reaches 90 °C. Calculate the amount of heat required in kJ.

Answers

Answer:

The Heat  is  [tex]Q = 7736.7 \ KJ[/tex]

Explanation:

Generally from the question we are told that

  The volume of the water is  [tex]V = 25 L = \frac{25}{1000} = 0.025 \ m^3[/tex]

   The initial temperature is [tex]T_i = 16^oC = 16 + 273 = 289 \ K[/tex]

    The final temperature is [tex]T_f = 90^o C = 90 + 273 = 363 \ K[/tex]

Generally the heat required is mathematically represented as

    [tex]Q = m * c_w * (T_f - T_i)[/tex]

Here [tex]c_w[/tex]  is the specific heat capacity of  water with value  [tex]c_w = 4182 J/(K kg)[/tex]

        m  is the mass of the water which is mathematically represented as

         [tex]m = \rho * V[/tex]

Here [tex]\rho[/tex] is the density of the water which has a value  [tex]\rho = 1000 kg/m^3[/tex]

So

      [tex]m = 0.025 * 1000 = 25 kg[/tex]

So

     [tex]Q = 25 * 4182 * (363 - 289)[/tex]

=>   [tex]Q = 7736700 \ J[/tex]

Converting to KJ

      [tex]Q = \frac{ 7736700}{1000}[/tex]

=>    [tex]Q = 7736.7 \ KJ[/tex]


What comes to mind when you think of the
word energy?
Think of all of the ways that you have heard
people use that word.

Answers

Good energy, Bad energy, Energy used to run, Energy drinks,

A truck heading east has an initial velocity of 6/ms. It accelerates at 2/ms2 for 12 seconds. What distance does the truck travel in the given time

Answers

Answer:

216m

Explanation:

As we know S=ut+1/2at^2

S=6×12+1/2×2×12×12

=72+144

=216 m

You are at the park with your little brother, when you notice a small merry-go-round with a radius that looks to be about 1.5 m. Your brother climbs on, and you give him a spin. From rest, you speed up smoothly, completing one full lap in 3.0 seconds. You wonder what sort of acceleration (magnitude and direction) your brother experiences at the very start of the motion, and at the very end of the first lap. He is quite young and hasn't studied any physics, so he does not know how to answer your question. You decide to give him your smartphone (which has a built-in accelerometer), and repeat the experiment. What will the smartphone record

Answers

Answer:

Explanation:

angle covered in one rotation = 2π radian

θ = ωt + 1/2 αt²

θ is angle rotated in time t with initial angular velocity of ω and angular acceleration α .

Putting the values

2π = 0 + 1/2 x α x 3²

α = 1. 4 radian / s²

linear acceleration =  α x r = 1.4 x 1.5 = 2.1 m / s².

Initial acceleration = 2.1 m /s²

final angular velocity = α t = 1.4 x 3 = 4.2 radian / s

linear velocity = 4.2 x 1.5 = 6.3 m /s

centripetal acceleration = v² / R = 6.3² / 1.5 = 26.46 m /s²

radian acceleration = 26.46 m /s

tangential acceleration = 2.1 m /s²

Total final acceleration = √ ( 26.46² + 2.1² )

= √ ( 700.13 + 4.41)

Final acceleration = 26.53 m / s²

The kid will undergo a circular motion and the smartphone which has a built-in accelerometer will record the acceleration [tex]26.54 \,m/s^2[/tex], which is the magnitude of the vector sum of both radial acceleration and tangential acceleration.

Circular Motion

The angle covered in one full rotation, i.e.; the angular displacement is,

[tex]\theta = 2\pi\,\, radian[/tex]

The kinematics equation in the case of rotational motion is given by;

[tex]\theta = \omega_i \,t + \frac{1}{2} \alpha t^2[/tex]

But the initial angular velocity, [tex]\omega_i = 0[/tex]

Time taken to complete one lap is, [tex]t = 3\,s[/tex]

Therefore, substituting the given values in the kinematics equation;

[tex]2\pi \;rad=0 + \frac{1}{2} \alpha\times (3)^2[/tex]

[tex]\implies \alpha = \frac{4 \pi\,\,rad}{9\,s^2} =1.395\,rad/s^2 \approx 1.4\,rad/s^2[/tex]

We know that linear acceleration (here tangential direction) is given by,

[tex]a_T=a = r \alpha = 1.5\,m \times 1.4\; rad/s^2=2.1\,m/s^2[/tex]

Also, the final angular velocity after 3 s is given by;

[tex]\omega_f = \alpha t=1.4\,rad/s^2 \times 3\,s = 4.2\,rad/s[/tex]

Therefore, the final linear velocity is;

[tex]v_f = r \omega = 1.5\,m \times 4.2\,rad/s = 6.3\,m/s[/tex]

We know that the centripetal or the radial acceleration is given by;

[tex]a_r = \frac{v^2}{r} = \frac{(6.3\,m/s)^2}{1.5m}=26.46\,m/s^2[/tex]

Therefore, the total acceleration is given by;

[tex]a_{total} = \sqrt{(a_T)^2 + (a_r)^2\,} =\sqrt{(2.1)^2 + (26.46)^2} =\sqrt{704.54} =26.54 \,m/s^2[/tex]

Learn more about circular motion here:

https://brainly.com/question/2562955

noise pollution may cause partial hearing impairment true or false​

Answers

Answer: True

Explanation: When people pollute  it breaks down the earth, that is why icebergs are melting and animals are going extinct. Before we know it, people are gonna start losing hearing, and there brain will shut down. That is also why people should stop polluting.

how much higher is 0.25 meters than 0.0254 meters (with real objects)

Answers

Answer:

0.2246 meters

Explanation:

.25-0.0254 meters = 0.2246 meters

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