a capacitor and a resistor are connected in parallel to a 120-v, 60-hz line. the resistor has a resistance of 40 , and the capacitor has a capacitance of 132.6 f. what is the impedance of the circuit in the question?

Answers

Answer 1

The impedance of the circuit having a resistor of resistance 40Ω and a capacitor of capacitance 132.6F is 2.65Ω

The potential of the circuit = 120 V

The frequency of the circuit = 60 Hz

The capacitance of the capacitor = 132.6 F

The resistance of the resistor = 40Ω

The impedance of this circuit can be found using the formula

                           Z = R / (RωC + 1)

where Z is the impedance

          R is the resistance of the resistor

          C is the capacitance of the capacitor

          ω is the angular frequency

First, let us find the angular frequency
                         

                     ω = 1/2πf

where f is the frequency

                     ω = 1/ 2 x 3.14 x 60

                         = 1 / 376.8

                         = 0.00265

So, let us substitute the known values in the impedance formula, we get

         

                      Z = 40 / ( 40 x 0.00265 x 132.6 +1)

                         = 40 / (14.05 +1)

                         = 40 / 15.05

                        = 2.65Ω

Therefore, the impedance of the circuit is 2.65Ω

Learn more about the impedance in

https://brainly.com/question/2263607

#SPJ4


Related Questions

a block is given a push so that it slides up a ramp. after the block reaches its highest point, it slides back down, but the magnitude of its acceleration is less on the descent than on the ascent. why?

Answers

The frictional force due to sliding.

What is frictional force?

Frictional force is the force produced when two surfaces slide against and touch each other. The surface texture and amount of force needing them together have the biggest an impact on these forces. The amount of frictional force is influenced by the object's position and angle.

Two forces are applied to the block as it moves up a ramp; the first is the weight component, and the second is the frictional force from sliding.

The weight and frictional forces that are pulling the block up are parallel to one another. These forces are directed downward toward the plane, which results in a stronger force and acceleration.

The components of weight and frictional force are moving in the opposite directions as the block down the ramp. The upward direction is where the frictional force operates.

Since the force's magnitude is small as a result of the opposite directions, the acceleration will also be smaller. As a result, the acceleration on the descent is lower than on the rise.

Learn more about frictional force from given link

https://brainly.com/question/23161460

#SPJ4

______ involves the complete breakdown of glucose in the presence of oxygen gas to yield carbon dioxide, water, and energy in the form of atp.

Answers

Answer:

Cellular respiration involves the complete breakdown of glucose in presence of oxygen gas to yield carbon dioxide ,water , and energy in the form of atp

A car speeds up from 4 m/s to 25 m/s in 5 seconds. Calculate its acceleration

Answers

We have:

vi = initial speed = 4 m/s

vf = final speed = 25 m/s

t= time = 5 s

a = acceleration = ?

Apply:

[tex]a=\frac{vf-vi}{t}[/tex]

Replace with the values given:

[tex]a=\frac{25-4}{5}=4.2[/tex]

Answer: 4.2 m/s^2

The Acceleration of the car is 4.2 m/s.

We will use the formula of acceleration.

a = vu - vi / t

Given:

vi = initial speed = 4 m/s

vu = final speed = 25 m/s

t= time = 5 s

a = acceleration = ?

Now, we will put the given values in the formula,

a = vu - vi / t

a = 25 - 4 / 5

a = 21 / 5

a = 4.2 m/s

Therefore, the Acceleration of the car is 4.2 m/s.

To know more about Acceleration:

https://brainly.com/question/18717714

what will happen to a speed or disctance traveled of a cart in an inclined plane if the mass of the car is increased?

Answers

The distance travelled by the car and the velocity of the car, both will increase weather the mass increases or not.

Let us say that there is a horizontal surface inclined at an angle A, the acceleration is g(acceleration due to gravity) and the car is going down the inclined.

Let us say that the mass M of the car is increasing constantly.

Now, we know, because the inclined is at an angle, so the component of g that will be in the direction of the motions is gsinA.

This component of acceleration not going to change, so the acceleration is now constant.

As there is some acceleration, that too in the direction of the motion, so the velocity of the car will increase constantly regardless of the mass until it reaches the final maximum value.

Because the velocity of the car is increasing so obviously the distance will also increase.

To know more about Motion on an inclined plane, visit,

https://brainly.com/question/17012294

#SPJ1

A jet flying north increases its velocity at a uniform rate from 138.5 m/s to 432.8 m/s in 47 seconds. Calculate the acceleration of the jet. a 12.16 m/s2 b 294.3 m/s c 6.26 m/s2 d 571.3 m/s

Answers

The acceleration of this jet is equal to: C. 6.26 m/s².

How to calculate the acceleration of this jet?

In Physics, the acceleration of a physical object (jet) or body can be calculated by using this formula:

a = (V - U)/t

Where:  

U represents the initial velocity.a represents the acceleration.V represents the final velocity.t represents the time measured in seconds.

Substituting the given parameters into the formula, we have;

Acceleration, a = (432.8 m/s - 138.5 m/s)/47 seconds

Acceleration, a = 294.3/47

Acceleration, a = 6.26 m/s².

In conclusion, we can logically deduce that this jet has an acceleration of 6.26 meters per seconds square (m/s²).

Read more on acceleration here: brainly.com/question/24728358

#SPJ1

PLEASEE HELP MEEE!!!!!!’

Answers

Answer:

7+z / 2

z = 10

replace the value of z

7 +10 /2

use order of operations ( division comes before addition)

7+5 = 12

Explanation: 12

a 800 kg car pushes a 2100 kg truck that has a dead battery. when the driver steps on the accelerator, the drive wheels of the car push against the ground with a force of 4700 n . rolling friction can be neglected. you may want to review (page) . part a part complete what is the magnitude of the force of the car on the truck?

Answers

Force on the truck is 3402N .

An item having mass changes its velocity when it is pushed or pulled. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

We are given that,

Mass of the car = m = 800 kg

Mass of the truck = m = 2100kg

The car exerted the force on the ground = F = 4700N

The total mass of the car and truck = 800kg + 2100kg = 2900kg

According to Newton's second law of motion,

F = ma

Where, a is total acceleration of the system, m is total mass of the system and F is the total force on the system,

a = F/m

a = 4700N/ 2900kg

a = 1.62 m/s²

The product of this acceleration and the car's mass will determine the force on the truck acting alone. Since force on the truck can be calculated as,

F = ma

Where, F is force on the truck and m is the mass of truck and a is acceleration of the system. After putting the above value we can get,

Ft = 2100kg × 1.62m/s²

Ft = 3402 N

Thus, Force on the truck would be 3402N.

Force on the car the force from the truck will be equal to it but act in the other direction .

To know more about force

https://brainly.com/question/17062924

#SPJ1

using any of the equation of uniform motion show that maximum high attained by a ball projected at angle sintintal to the horizontal with a velocity u is Hmax=u2 sin2tintal/2g

Answers

According to question, we know that

ux=ucosθax=0

uy=usinθay=−g

How to find max. height?

The projectile's maximum height h is equal to one-half of H, the triangle's altitude. = H - 12H, resulting in h = H/2, which is the desired result. If a projectile's maximum height is 15 m, its maximum range is 4 * max height, which equals 60 m.

The highest point of the structure or sign measured from the average natural ground level at the base of the supporting structure is referred to as the maximum height.

at max. height

Vy=0

0- usinФ = gt

t = usinФ/g

Now, we know that

H = ut + 1/2g[tex]t^{2}[/tex]

After putting all the values, we get

H(max) = [tex]u^{2} sin^{2}[/tex]Ф/2g

Hence proved

To learn more about maximum height, refer to:

https://brainly.com/question/12446886

#SPJ9

You need a wheelbarrow to transport some soil for your garden. The wheelbarrow you have gives you a mechanical advantage of 3.5. If you use 65 newtons of force to lift the wheelbarrow so that you can roll it, how much soil can you carry with this wheelbarrow? Give the weight of the soil in newtons and be sure to show your work.​

Answers

The soil we can carry with this wheelbarrow is 227.5 Netwon weight.

Mechanical advantage is a measure of the ratio of output pressure to enter pressure in a system, used to investigate the forces in simple machines like levers and pulleys. notwithstanding converting the forces which might be implemented the conservation of power continues to be authentic and the output energy remains identical to the enter strength.

The mechanical benefit is a measure of the pressure amplification carried out by using using a device, mechanical device, or system machine. The tool trades off enter forces in opposition to the motion to attain a desired amplification within the output force. The model for that is the law of the lever.

Mechanical advantage = load / effort

given mechanical advantage = 3.5

effort =-65 N

Load = mechanical advantage effort

           = 3.5 65

           = 227.5 Netwon

Learn more about mechanical advantage here:-https://brainly.com/question/18345299

#SPJ1

the plates of a parallel-plate capacitor are 2.00 mm apart, and each carries a charge of magnitude 75.0 nc . the plates are in vacuum. the electric field between the plates has a magnitude of 3.00×106 v/m .

Answers

It is here 3.00x106vm

the possible ways used to remove a truck that is stuck in mud

Answers

Answer:

deflate tyres, rock your vehicle forwards and backwards, use traction

Explanation:

Someone please do this for me. due soon! would really appreciate it. will mark brainliest.

Answers

1. When egg hits the ground with a force, the ground exerts the same force back on the egg. The faster the egg falls, greater is this force is. If extreme force is delivered to the egg shell, it will crack. When the egg is dropped, speed increases as it falls, and as speed goes up, it gains momentum from the impulse caused by gravity. When it hits the floor, it stops due to an impulse in the opposite direction.

2. Structure of lander:

Sketch a few design ideas for your egg lander. It could consist of a small cardboard box, lined with a cushioning material and egg placed in the middle.Make sure that you are able to easily open the design to check if the egg is broken or notPlace an egg in the lander and drop it from certain height.Check whether the egg is broken or not and also check the lander for damage.Drop the lander again from the same height. Keep repeating this process, checking for damage each time, until the egg breaks or the lander falls apart. Keep record of the total number of drops it survives.

3. Reasons that design would allow safe landing of egg:

Slowing down the speed. Cushioning the egg so that something else absorbs the impact of landing other than egg. Place the egg so that it lands on the strongest part of the shell.

To know more about egg lander , refer

https://brainly.com/question/27845025

#SPJ13

what minimum speed is required for the ball to clear the 0.90 m high net about 15.0 m from the server if the ball is hit from a height of 2.50 m?

Answers

The velocity in the x direction is 26 m/s minimum horizontal speed.

Were asked to find the speed in the x (horizontal) direction which can be acquired from

x = vxt or vx = x/t.

We know x (15.4 m) but we need to find t.

We can find how long it takes for gravity to force the ball down from the initial height (tennis racket) to the final height (top of net) from y = yo + vot + 1/2 at2.

We'll choose y to be positive up.

The initial height yo = 2.6 m, final height y = 0.90 m, the initial velocity in the y direction is zero

vo = 0, and

a = -g (since y is positive up, gravity is downward and negative,

-g = -9.8 m/s2).

We have:0.90m = 2.6 m - 4.9 m/s2 * t2 4.9 m/s2 * t2

= 1.7 mt = ± [ 1.7 m / 4.9 m/s2 ]1/2t

= ± 0.6 s (choose + s)

Therefore, The velocity in the x direction: vx = 15.4 m / 0.6 s = 26 m/s minimum horizontal speed.

To learn more about velocity, click:
https://brainly.com/question/25749514

#SPJ4

two long parallel wires carry currents of 10 a and 5.0 a in the same directions. the wire is separated by 10 cm. what is the strength of the magnetic field midway between the two wires? ()

Answers

The strength of the magnetic field is 4x10^-2 T

What is Magnetic Field?

A magnetic field is a vector field that describes the magnetic influence on moving charges, currents, and magnetic materials. A moving charge in a magnetic field is subjected to a force that is perpendicular to both its own velocity and the magnetic field.

Magnetic field at O due to wire 1,  B1 = UoI1/2pid;

where d = 5 cm

B1 = u0(10)/2pi(5)

Magnetic field at O due to wire 2,

B2 = uo I2/2pid

B2 = u0(5)/2pi(5)

The net magnetic field at O Bo = B2-B1

uo(10-5)/2pi(5)

B0 = (4pi x10^-7)(5)/2pi(5)

= 4x10^-2 T.
Therefore the answer is 4x10^-2 T

To learn more about Mangnetic field from the given link
https://brainly.com/question/24761394
#SPJ4

Short -circuit evaluation is only performed with the not operator.

a. True
b. False

Answers

Short-circuit evaluation is only performed with the AND and OR operators.

Therefore, the given statement is False.

Short-circuit evaluation is another function of the logical OR operator; if the left-hand operand is true, the right-hand expression is not tested. The Boolean AND and OR operators short-circuit evaluate; that is, they only evaluate the expression to the right of the operator when it is required to ascertain the expression's final outcome. Short-circuit operators establish a sequence point because they fully assess the first argument, including any side effects, before (optionally) processing the second argument in imperative languages (particularly C and C++), where side effects are significant.

A programming concept known as short-circuiting allows the compiler to omit some logical expression sub-expressions execution or evaluation. As soon as the expression's value is established, the compiler halts evaluating the following subexpressions.

Learn to know more about short-circuit evaluation on

https://brainly.com/question/15039742

#SPJ4

A jet airliner moving initially at 103 mph (with respect to the ground) to the east moves into a region where the wind is blowing at 441 mph in a direction 19° north of east. What is the new speed of the aircraft with respect to the ground?

Answers

The new speed with respect to the ground is 512 m/h.

What is speed?

We can tell that is speed is the rate at which the velocity changes with respect to time. In this case, we can see that the jet airliner moving initially at 103 mph (with respect to the ground) to the east moves into a region where the wind is blowing at 441 mph in a direction 19° north of east.

Hence;

→ The east component =  103 + 441 cos(52) = 375 m/h

→ The north component = 441 sin(52) = 348  m/h

We can now get the new velocity by the use of;

√( 375)^2 + (348)^2 =

= 512 m/h

Learn more about velocity:https://brainly.com/question/13482524

#SPJ1

A car travels at 15.0 m/s for 10.0 s. It then speeds up with a constant acceleration of 2.0 m/ 2 for 15.0 s. At the end of this time, what is its velocity?

Answers

The velocity of the car travelling at 15 m/s for 10 second speeding up with constant acceleration of 2m/s^2 for 15 second is 45 m/s.

What is velocity and how it is calculated out to be 45 m/s?Velocity as studied earlier is a quantitative quantity which describes the relation between displacement and time as velocity equals displacement per unit time.Here in this question is given the velocity with which the car is travelling for the 10 seconds and then the car speeds up.The speed up speed of the car was at a constant acceleration of 2m/s^2 for 15 seconds.That means Vo = 15 m/s , a = 2m/s^2, and t = 15 seconds, using the relation V = Vo + at .Then putting the values, V= 15 + 2x15 = 15+30 = 45 m/s , hence the velocity of the car would be 45 m/s.

To know more about velocity visit:

https://brainly.com/question/18084516

#SPJ10

how is momentum calculated (apex)

Answers

Answer:  By multiplying mass by velocity

Explanation:  By multiplying mass by velocity

the 4.00 a current through a 7.50 mh inductor is switched off in 8.33 ms. what is the induced voltage opposing this?

Answers

According to the given statement The induced voltage opposing this is 3.60 V.

What is voltage and why is it important?

Electrons transport electrical energy through conducting materials (like power lines). The voltage of the transmission line gauges the amount of potential energy that each electron is transporting along the power line. Voltage, in other terms, is the force that forces current through the electrical supply network.

Briefing:

Magnitude of change in current, dI = 4.00 A as current reduces to zero

Inductance of the inductor, L = 7.50 mh = 7.50 *10⁻³

Time elapsed dt = 8.33 ms = 8.33 * 10⁻³

The induced emf is given by replacing the specified values with:

[tex]\epsilon=L \frac{d I}{d t}[/tex]

=7.50 *10⁻³H * (4.00 A / 8.33 * 10⁻³)

= 3.60 V

To know more about Voltage visit:

https://brainly.com/question/13521443

#SPJ4

when can conservation of momentum be used in calculations ( what assumptions are made and what type of collisions)?

Answers

The velocity of the two wagons after the collision can be calculated using the principle of momentum conservation.

Briefing:

Only one of the wagons is moving in this scenario prior to the accident. We also assume that following the impact, the wagons lock together.

What is conservation of momentum?

According to the rule of conservation of momentum, absent an external force, the combined momentum of a number of bodies operating upon one another in an isolated system remains constant. As a result, momentum cannot be gained or lost.

What is the result of momentum conservation?

The conservation of momentum is a general law of physics which states that the total momentum of the system remains constant and that the quantity called momentum which characterizes motion never varies in an isolated collection of objects.

To know more about conservation of momentum visit:

https://brainly.com/question/26058425

#SPJ4

A 2000 kg car is moving to the right at a constant speed of 5 m/s what is the net force on the car?

Answers

the net force of the car is 0 N

a flotation buoy has mass 803 kg, volume 1.09 m3, and is attached to the sea floor by a cable in such a way that the buoy is completely submerged. calculate the magnitude of the tension in the cable, given the density of sea water is 1025 kg/m3.

Answers

Answer:

Volume of buoy = 1.09 m^3

Volume of seawater displaced = 1.09 m^3

Mass of seawater displaced = 1.09 m^3 * 1025 kg/m*3 = 1117 kg

Mass of buoy = 803 kg

Net mass = 1117 - 803 = 314 kg         Mass supported by cable

Net force on cable F = M a = 314 kg * 9.80 m / s^2 = 3077 N

How might a price floor benefit farmers?

A price floor would limit the amount of money a farmer would earn in a season.
A price floor would allow farmers to try different crops.
A price floor would guarantee that farmers sell all of their crops.
A price floor would provide some security in agricultural income.

Answers

The price floor benefits farmers as price floor would provides some security in agricultural income.

What is price floor?

The lowest permitted price that can be paid in marketplaces for commodities and services, labor, or financial capital is known as a price floor. The minimum wage, which is founded on the normative idea that someone performing a full-time job should be able to afford a basic level of living, is maybe the best-known example of a price floor.

Price floors raise the price above the equilibrium price, which generates surpluses. The quantity delivered surpasses the quantity demanded at the price determined by the floor. Price floors in agriculture have led to enduring surpluses of a variety of agricultural goods.

For farmers these price floors thus give them a sense of financial security that all of their crops will atleast get that minimum price and thus he will be able to earn some money.

To learn more about price floor visit the link:

https://brainly.com/question/13335147?referrer=searchResults

#SPJ1

What is the initial velocity and the net force (I don't want to do this again but I need to know the formula)

If you did it, thank you.

Answers

Answer:

F = 64655.86 N

Explanation:

Im not sure about the initial velocity but its somewhere near 0.23 m/s

a mass of 1.5 kg of air at 120 kpa and 24°c is contained in a gas-tight, frictionless piston–cylinder device. the air is now compressed to a final pressure of 600 kpa. during the process, heat is transferred from the air such that the temperature inside the cylinder remains constant. calculate the magnnitude of work input during this process. take the gas constant of air as r

Answers

The magnitude of work input during this process is - 73.62 kJ

It is Given that

In a gas-tight, friction-free piston cylinder, 1.5 kg of air at 120 kPa and 24 °C is housed. This final pressure of 600 kPa is reached for the air. Heat is transferred from the air during the procedure, maintaining a consistent temperature inside the cylinder.

We have to Calculate the work input during this process.

Assuming air is an ideal gas at constant temperature, the ideal gas equation will be

P = mRT/V

Now mRT is constant at constant temperature, the equation for work will be V2

W = ∫ path P dv

= v1 ∫v1 to v2 mRT / Vdv

= ∫ v1 to v2 dV/V

= mRT (log V) v1 to v2

= mRT (log V2/V1)

We need to find V2/V1 for constant temperature

So V2/V1 mRT / P2/mRT/P1

V2/V1 mRT / P2/mRT/P1 = P1/ P2

Substituting P1/P2 in V2/V1 using gas constant for air = 0.2870,

So m = 1.5 kg

T = 24 degree Celsius = 285.15 K

So W = mRT log(P1/P2)

= 1.5 kg x 0.2870 kJ/kg K x 285.15 K log (120 kpa / 600 kpa)

= - 73.62 kJ

The negative sign implies that it is a work input of - 73.62 KJ

Learn more about Work here:

https://brainly.com/question/25573309

#SPJ1

The acceleration of a mass is 15 m/s^2 to the left, what is the mass of the object? answer with 2 sig figs

Answers

The mass of the object if the acceleration of a mass is 15 m/s^2 to the left is 1.27 kg

F = F1 + F2 + F3

F1 = - 8 N

F2 = 7 N

F3 = - 18 N

F = - 8 + 7 - 18

F = - 19 N

Negative symbol indicates that the force is acting towards the left.

F = m a

F = Force

m = Mass

a = Acceleration

a = - 15 m / s²

m = F / a

m = - 19 / - 15

m = 1.27 kg

Therefore, the mass of the object is 1.27 kg

To know more about Acceleration

https://brainly.com/question/12550364

#SPJ1

15) SEP Use Mathematics A force of 20 N is applied to an object in the
positive x-direction. A force of 12 N is applied to the same object in
the negative x-direction. Sketch the two force vectors and determine
the magnitude and direction of the resultant vector.

Answers

Answer:

20n

Explanation:

20 n

Copper has 2 isotopes Cu-63 and Cu-65. Cu-63 has an abundance of 69.15% while Cu-65 has an abundance of 30.85%. What is the average atomic mass

Answers

Copper has 2 isotopes Cu-63 and Cu-65. Cu-63 has an abundance of 69.15% while Cu-65 has an abundance of 30.85%, then the average atomic mass of the copper would be  63.167 grams.

What is atomic mass?

It is the sum of the mass of all the protons as well as the neutrons that are present inside the nucleus.

Atomic mass = mass of protons + mass of neutrons

As given in the problem Copper has 2 isotopes Cu-63 and Cu-65. Cu-63 has an abundance of 69.15% while Cu-65 has an abundance of 30.85%.

The average atomic mass of the copper = 63*0.6915 +65*0.3085

                                                                    =63.167 grams

Thus, the average atomic mass of copper would be 63.167 grams.

To learn more about atomic mass here, refer to the link;

brainly.com/question/11681718

#SPJ1

a 75 kg man rides on a 39 kg cart moving at a velocity of 2.3 m/s. he jumps off with zero horizontal velocity relative to the ground. what is the resulting change in the car

Answers

The external force with a horizontal component will not act on the cart's man and the sum of the vertical forces is zero, so the system's total momentum is conserved.

What is external force?

External forces are those that come from how the body interacts with its surroundings.

There are contact forces and non-contact forces that come from the outside. Most of the forces used in biomechanics are contact forces. Contact forces are forces that happen when two things touch each other. Non-contact force happens when two things are not in direct with each other e.g., gravitational force

What is momentum?

Momentum is the product of a particle's mass and speed. Momentum is a "vector quantity," which means that it has both size and direction.

Let mc be the mass of the cart, ν  be its initial velocity, and νc be its final velocity (after the man jumps off). Let mm be the mass of the man. His initial velocity is the same as that of the cart and his final velocity is zero. Conservation of momentum yields (mm+mc) ν = mcνc. Consecutively the final speed of the cart is:

vc = v(mm+mc)/mc = (2.3m/s)(75kg+39kg)/39kg) = 6.7m/s

Hence, the cart goes faster by 6.7m/s–2.3m/s, which is +4.4m/s. To slow himself, the man causes the cart to push him backward by pushing forward on it, so the cart speeds up

To learn more about external force and momentum the given link

https://brainly.com/question/23008234?

#SPJ4

A book is pushed off a desk and falls to the floor. Assuming that the velocity of the book is 3.5m/s as it leaves the desk. The height of the desk is 75.0cm. How far from the bottom of the desk does the book ball hit the ground?
How far from the bottom of the desk does the book ball hit the ground?

How long (time) does it take the book to hit the ground?

What is the velocity of the book as it hits the ground?

Answers

time of flight of the book is 0.38 seconds and the range of the book is 1.35 meters, and the final velocity of the book is 5.4 m/s

What is projectile motion?

The path followed by a projectile is known as projectile motion, when we throw any object in the air it follows a certain trajectory and that trajectory is known as projectile motion.

What is the time of flight?

Every projectile remains in the air for a certain period of time the amount of time the projectile space in the air is known as time of flight for the same velocity with different angles the time of flight can vary.

given:

initial velocity in y axis = 3.5m/s

initial velocity in x axis = 0 m/s

height of the disk = 75 m

acceleration due the gravity 10 m/s²

range of the projectile = velocity in y direction × time of flight

so first we will deduce time of flight,

time of flight for both the motion in x axis and y axis is the same therefore, we will find the time of flight in x axis.

using newtons second law of motion we get,

s = u × t + 0.5 × a × t²

here,

s is the displacement in x axis

u is the initial velocity

t is the time of flight

a is acceleration due to gravity

substituting value on newtons second law of motion we get,

0.75 = 0 + 0.5 × 10 × t²

t² = 0.15

t = 0.38 seconds

therefore, the time of flight is 0.38 seconds

range of the book = velocity in y direction × time of flight

range of the book = 3.5 × 0.38

range of the book = 1.35 meters

velocity of the book as it touches the ground = 10 × 0.38 × 1.41

velocity of the book as it touches the ground = 3.8 × 1.41 m/s

velocity of the book as it touches the ground = 5.4 m/s

therefore, time of flight of the book is 0.38 seconds and the range of the book is 1.35 meters, and the final velocity of the book is 5.4 m/s

learn more about projectile motion here

https://brainly.com/question/974124

#SPJ13

Other Questions
help me on this one please Part CCompare and contrast the relative frequency for the whole table in part B with the two-way frequency table given in theactivity introduction. What trends or generalizations can you identify from the data in the tables? Which triangles are similar?17Triangle A12)151037g8Triangle BTriangle cA. Triangles A, B, and CB. Triangles A and CC. Triangles B and CD. Triangles A and B 14. Mason has 2 quarters, and he needs 50 cents more to pay the turnpike toll. There are 5 dimes, 6 quarters, and 10 nickels in his glove compartment. If he reaches in and selects two coins at random without replacing the first one, find the probability of choosing two quarters. 99 question 2 (10 points) Read "South."What does this poem express about the individual's search for home?People find comfort when their home is unchanged over time.Home may not be a welcoming place upon returning.It is important to teach others about the history of one's home.The definition of home differs for different people. The American colonists wrote the declaration of independence in part because the British government PLSS HELP IM DESPERATETerrence walks at a pace of 2mi/hr to the theater, and watches a movie for 2hrs and 15mins. He rides back home, taking the same route, on a bus that travels at a rate of 40mi/hr. The entire trip takes 3.5 hrs. How far along this route is Terrences house from the theater. Explain. a power athlete is unable to consume the recommended amount of carbohydrate during exercise due to gastrointestinal upset. what recommendation should be provided to this athlete? a single occurrence of an entity type defines Your contact information is an optional part of the signature in a business letter?. and thanks to my first story, id already met most of the school administrators in person and had the beginnings of an actual list of sources for future stories. The points (-3,-6) and (9,4) are the endpoints of the diameter of a circle. Find the center, the length of the radius, and the equation of the circle. Keep values in exact form, no decimals. On a 1200 foot stretch of highway through the mountains the road rises by a total of 40 feet find the slope of the road To what extent should nations ensure that immigrants accept the cultural and political values of their new home? In what specific ways does multiculturalism benefit political, social and economic development? How did slaves combine their African Heritage and their circumstances in America? Which would require the least force to move a box along a floor with a coefficient of friction of 0.30?Multiple Choicepull it with a rope at an angle of 30 above the horizontalpush it at an angle of 30 below the horizontalEITHER pull it with a rope at an angle of 30 above the horizontal OR push it at an angle of 30 below the horizontalnot enough information to solve Each day, Deshaun earns a fixed wage plus extra money for every hour of overtime he works. The graph shows his total pay (in dollars) versus the amount of overtime ( in hours) that he works. graph this line using slope From "The Writer"I remember the dazed starling.Which was trapped in that very room, two years ago......and how our spiritsRose when, suddenly sure,It lifted off from a chair-back,Beating a smooth course for the right window,And clearing the sill of the world.3. What does dazed starling symbolize?a) Freedomb) His daughter's voicec) Their raised spirits4. What could the theme be, based on this excerpt?a) Singing is importantb) Finding your voice is importantc) Be kind to birds