An alien spaceship traveling at 0.550c toward the Earth launches a landing craft. The landing craft travels in the same direction with a speed of 0.790c relative to the mother ship (as measured by aliens on the mother ship). As measured on the Earth, the spaceship is 0.160 ly from the Earth when the landing craft is launched.
(a) What speed do the Earth-based observers measure for the approaching landing craft?
c
(b) What is the distance to the Earth at the moment of the landing craft's launch as measured by the aliens (mother ship)?
ly
(c) What travel time is required for the landing craft to reach the Earth as measured by the aliens on the mother ship?
yr
(d*) What travel time is required for the landing craft to reach the Earth as measured by Earth-based observers?
yr
(e*) What travel time is required for the landing craft to reach the Earth as measured by those on the landing craft?
yr

Answers

Answer 1

(a)The velocity (Xv) of the craft as measured from the earth is given as follows:

Vx = v¹x+v/1+( v¹x+v/c²) = 0.79∝ + 0.550c/1+(0.79c)(0.550c)

= Vx = 0.434c

Hence Vx is the velocity of the craft with respect to the mother ship and the velocity of the mother ship with respect to earth.

(b) distance between craft and earth, as measured by the mother ship as follows.

\(L0 = \sqrt[L]{\frac{1-V^{2} }{C^{2} } } = (0.160ly)\sqrt{1-(\frac{0.550}{c})^{2} }\)

L0 = 0.1336ly.

(c)The velocity of craft with respect to earth as measured from the mother ship is as follows:

VCO = Vcmt + Vme

= 0.790 + 0.550 = 1.34c

Time taken by craft to land on earth as measured by the mother ship is as follows:

t =  0.1336ly/1.34 =  0.0997yr

(d) Time taken by craft to reach earth as measured from the earth is as follows:

t = 0.60ly/0.934c

t = 0.171yr

(e) Time taken by the craft to reach earth with respect to its rest frame is as follows:

to =\(\sqrt[t]{1-\frac{v^{2} }{c^{2} } }\)

= 0.171 yr \(\sqrt{1-\frac{(0.934c)^{2} }{c^{2} } }\)

to = 0.0610yr

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Related Questions

When this surgical procedure is used to reduce the risk of stroke it will correct stenosis in the artery the most common cause of this condition is the buildup of plaque that forms in the artery name this procedure

Answers

Endarterectomy is used to reduce the risk of stroke and correct the stenosis in the artery.

What is carotid artery stenosis?

The primary blood vessels that supply the brain with blood and oxygen are the carotid arteries.

The narrowing of these arteries is referred to as carotid artery disease. Carotid artery stenosis is another name for it. The main factor causing constriction is atherosclerosis.

This fat deposit reduces the blood flow to the brain which cause a stroke.

Carotid endarterectomy is a surgical treatment to remove plaque, an accumulation of fatty deposits that causes a carotid artery to become narrowed.

Hence, an Endarterectomy is used to reduce the risk of stroke, it will correct stenosis in the artery.

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How can graphs help demonstrate the qualitative relationship that may exist in a set of data to readers?

Answers

Graphs can help to demonstrate the qualitative relationship between a set of data by identifying patterns among these data.

What other information can the data show?Comparison between groups.Proportional relationships.Variation and dispersion.

Graphs can allow readers to identify a lot of information among a set of data. The most common information to be evaluated through the graphs is the existence of patterns between the data.

For example, a line graph can show the change in a variable over time, allowing readers to see if there is a consistent increase or decrease.

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The block falls for a time t0, but the string does not completely unwind. What is the change in angular momentum of the pulley-block system from the instant that the block is released from rest until time t0?

Answers

The change in angular momentum of the pulley-block system is given as \(\omega = Rm_ogt_o\)

Data;

time = t0mass = Mo

Torque

This is the force that makes object rotate about an axis. The formula is given as the product between the radius about the axis and the force acting upon it.

The torque about point o is given as

\(\tau = R * m_og\)

The change in angular momentum about point 'o' is the product between the torque and time.

\(\omega = \tau * t_o\\\omega = Rm_ogt_o\)

The change in angular momentum of the pulley-block system is given as

\(\omega = Rm_ogt_o\)

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Walking down a pebble beach becomes less painful as you enter the sea. Explain why.

Answers

Answer:Since pressure = force/area, the same force on a smaller area means more pressure. When you are walking on sand, the force being applied by your body is spread out over the entire surface of your foot. ... So, more pressure applied on a given area of your foot causes more pain.

Explanation:

Good Question

A 1400-N crate rests on the floor.
How much work is required to move it at constant speed 5.0 m
vertically.
Express your answer to two significant figures and include the appropriate units.

Answers

The work required to move the crate vertically at a constant speed of 5.0 m is approximately 7000 Joules (J).

To determine the work required to move the crate vertically, we need to calculate the gravitational potential energy change. The work done is equal to the change in potential energy.

The formula for gravitational potential energy is given by:

Potential energy = mass * acceleration due to gravity * height

In this case, the mass of the crate is not provided, but we can use the given weight of the crate to find the mass. Weight is equal to mass multiplied by the acceleration due to gravity (W = mg).

Given:

Weight of crate (W) = 1400 N

Acceleration due to gravity (g) = 9.8 m/s^2

Vertical distance (height) = 5.0 m

First, calculate the mass of the crate:

1400 N = m * 9.8 m/s^2

m = 1400 N / 9.8 m/s^2 ≈ 143 kg

Now we can calculate the work:

Work = Potential energy = mass * g * height

Work = 143 kg * 9.8 m/s^2 * 5.0 m ≈ 7000 J

Therefore, the work required to move the crate vertically at a constant speed of 5.0 m is approximately 7000 Joules (J).

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blending three primary colors of light

Answers

Answer: white light

Explanation:

if you mix red and blue light together, you get magenta and when you mix blue and green light together, you get cyan and when you mix red and green light together, you get yellow but when you mix all three primary colors of light together, you end up with white light or as we see it.

I have no idea what I'm doin ​

I have no idea what I'm doin

Answers

Answer:

yes  I feel you-

Explanation:

Answer:

same bro hard times out here

Describe how the appearance of the fringes changes if the slit is made wider

Answers

The diffraction pattern narrows with increasing slit width. The interference pattern is produced by the intersection of the two diffraction patterns.

What is the explanation for diffraction?

Despite the fact that light waves typically pass close to barriers, where they tend to bend and spread out, light waves do not always move in straight lines as we traditionally believe. Waves spreading as they move through or around an obstruction is referred to as diffraction.

What does diffraction versus refraction mean?

When waves move from one medium to another, the direction they travel in changes, which is known as refraction. A shift in wavelength and speed always occurs with refraction. Waves bend over gaps and obstructions in a process known as diffraction. When the wavelength gets longer, more diffraction occurs.

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A parallel circuit has four branch currents: 120 mA, 380 mA, 250 mA, and 2.1 A. How much current is supplied by the source?

Answers

A parallel circuit is an electrical circuit with more than one current path and all circuit components are connected between the same two sets of electrically common points. The current supplied by the source in a parallel circuit is equal to the sum of all branch currents in the circuit.

The sum of the branch currents in a parallel circuit can be calculated by adding up the values of the individual branch currents. In this case, we have four branch currents: 120 mA, 380 mA, 250 mA, and 2.1 A. Thus, the sum of the branch currents is:120 mA + 380 mA + 250 mA + 2.1 A= 2.85 ATherefore, the current supplied by the source in this parallel circuit is 2.85 A. This is because, in a parallel circuit, the current from the source is split between the different branches of the circuit. Each branch will have a different current, but the sum of all the branch currents will always equal the current supplied by the source

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Answer
Given:
The thermal energy added to the system is Q = 90 J
The work done by the system on the surroundings is
W = 30 J
To find the change in internal energy.
Explanation:
According to the first law of thermodynamics, the
change in internal energy can be calculated by the
formula
AU = Q-W
On substituting the values, the change in internal en...
AU -90-30
= 60 J
Final Answer: The chage in internal energy is 60 J
(option D)
EdemT260579. Beginner
Click to let others know, how helpful is it
...
Q

Answers

Answer:

Explanation:

Given:

Q = 90 J

W = 60 J

________

ΔU - ?

1 law of thermodynamics:

Q = ΔU + W

Change in internal energy:

ΔU = Q - W = 90 - 30 = 60 J

The graph in the accompanying figure (Figure 1) shows the magnitude of the force exerted by a given spring as a function of the distance x the spring is stretched.
Figure1 of 1
A graph of force F as a function of distance x. The force is measured from 0 to 350 newtons on the vertical axis. The distance is measured from 0 to 8 centimeters on the horizontal axis. A graph curve starts from the origin and rises linearly to approximately 7 centimeters and 350 newtons.
Part A
How much work is needed to stretch this spring a distance of 2.0 cm, starting with it unstretched.
Express your answer in joules to two significant figures.


W =
nothing
J
Request Answer
Part B
How much work is needed to stretch this spring from 5.0 cm to 7.0 cm?
Express your answer in joules to two significant figures.


W =
nothing
J
Request Answer
Provide Feedback

Answers

The elastic potential energy stored in the stretched spring is 1 J.

What is Hooke's law?

Hooke's law states that; provided the elastic limit is not exceeded, the extension of the spring is directly proportional to the force on the spring.

Given that;

Force on the spring = 350 Newton

Distance stretched = 7 centimeters or 0.07 m

Hence;

F = ke

k = F/e = 350 Newton/0.07 m = 5000 N/m

Work done in stretching a spring = 1/2ke^2

= 0.5 × 5000 × (2 × 10^-2)^2 =1 J

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Answer:

12.6

Explanation:

trust me I found the core answer

A positively charged rubber rod is moved close to a neutral copper ball that is resting on a nonconducting sheet of plastic.
With the rod still close to the ball, a metal wire is briefly connected from the ball to the earth and then removed. After the rubber rod is also removed, describe the distribution of charges (if any) on the copper ball.
Match the words to the appropriate blanks.
1. __________ from the earth are _______ by the region of _________ charge on the ball and flow onto the ball, giving it a net ______ charge.
2. When the rod is removed, this net charge distributes _______ over the ______of the ball.
- attracted
- uniformly
- positive
- electrons
- unevenly
- negative
- repelled
- surface
- interior
- protons

Answers

1. Electrons from the earth are attracted by the region of positive charge on the ball and flow onto the ball, giving it a net negative charge.

2. When the rod is removed, this net charge distributes uniformly over the surface of the ball.

The planet serves as a ground with little promise. Therefore, positive charge flows into the ground when a positively charged conductor is linked to it, and as a result, electrons move from the earth to the conductor.

The sphere receives electrons from the ground until it reaches electrical neutrality. As the sphere fills with electrons from the earth, it becomes negatively charged.

The item will have a balanced charge and become neutral by absorbing electrons from the ground. A positively charged item is grounded by transferring electrons from the earth into it, a process known as grounding. Electrons from the ground are drawn to the object's surplus positive charge.

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What is the resistance of a 15 ampere current with 8 volts of potential difference?

Answers

Answer:

Resistance in circuit = 0.53 ohm (Approx.)

Explanation:

Given:

Flow of current in circuit = 15 amp

Potential difference = 8 Volts

Find:

Resistance in circuit

Computation:

In an electrical system, resistance is a stopper of a material to electric current.

Resistance in circuit = Potential difference / Flow of current in circuit

Resistance in circuit = 8 / 15

Resistance in circuit = 0.53 ohm (Approx.)

What is a push or pull that one object excerpts on another object?

Answers

Answer:

Force

Explanation:

The answer would be force.

A chemical reaction separates water into hydrogen gas and oxygen gas. Which of the following statements is true about the mass of the water and the combined mass of the two gases

Answers

Answer:

The mass of the water is greater than the combined mass of the two gases

HELP PLS!!!!!!!!WILL MARK BRAINLIEST!

HELP PLS!!!!!!!!WILL MARK BRAINLIEST!

Answers

I do not know the answer sorry :(

Four-wheel drive trucks do not stop better on icy
roads than a car. Is what law of motion (Newton's laws)

Answers

It would be Newton’s second law of motion

A pitcher throws a baseball with a mass of 143 g horizontally at a speed of 38.8 m/s (87 mi/h). The hitter's bat is in contact with the ball for 1.20 ms and then travels straight back to the pitcher's mound at a speed of 45.9 m/s (103 mi/h). Determine the average force exerted on the ball by the bat. Neglect the weight of the ball (it is much smaller than the force of the bat) and choose the direction of the incoming ball to be positive. (Indicate the direction with the sign of your answer.)

Answers

Answer:

F = −10093.41 N

Explanation:

Given that,

Mass of a baseball, m = 143 g = 0.143 kg

Initial speed of the baseball, u = +38.8 m/s

The hitter's bat is in contact with the ball for 1.20 ms and then travels straight back to the pitcher's mound at a speed of 45.9 m/s, v = -45.9 m/s

We need to find the average force exerted on the ball by the bat. So, Force is given by :

\(F=ma\)

a is acceleration

\(F=\dfrac{m(v-u)}{t}\\\\F=\dfrac{0.143\times (-45.9-(38.8))}{1.2\times 10^{-3}}\\\\F=-10093.41\ N\)

So, the average force exerted on the ball by the bat has a magnitude of 10093.41 N.

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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A very fast train starts running from the earth at a speed of 60 miles per hours . How many years will it take to reach Uranus without stopping anywhere?

Answers

Distance between earth and Uranus =2.998×10^9kmSpeed=60mph=60(1.6)=96km/h

Time=Distance/Speed

Time:-

\(\\ \rm\hookrightarrow \dfrac{2.998\times 10^9}{96}\)

\(\\ \rm\hookrightarrow 0.0312\times 10^9\)

\(\\ \rm\hookrightarrow 3.12 \times 10^7hrs\)

The person would have died before reaching Uranus .

PLS HELP!!
The speed of light is 300,000,000 m/s. What is the frequency of microwaves with a wavelength of 0.01 meter?

Answers

Answer:

c = 3.00E8 m/s      speed of light

c = f * λ        frequency ^ wavelength

f = c / λ  = 3.00E8 m/s / .01 m = 3.00E10 / sec

f = 30,000,000,000 /sec

A 1.2kg stone is tied to a string and swung in a vertical circle with a radius of 0.75m. The string can withstand a tension of 40.0N. At what maximum speed can a stone move at the bottom of it's path without the string breaking

Answers

Hello!

We can begin by summing the forces acting on the stone when it is at the bottom of its trajectory.

Refer to the free-body diagram in the image below for clarification.

We have the force of tension (produced by the string) and the force of gravity acting in opposite directions, so:
\(\Sigma F = T - F_g\)

The net force is equivalent to the centripetal force experienced by the stone. Recall the equation for centripetal force for uniform circular motion:
\(F_c = \frac{mv^2}{r}\)

m = mass of object (1.2 kg)
v = velocity of object (? m/s)
r = radius of circle (0.75 m)

The centripetal force is the resultant of the forces of tension and gravity, and points upward (same direction as the tension force) since the tension force is greater.

Therefore:
\(\frac{mv^2}{r} = T - Mg\)

We can solve the equation for 'v':

\(mv^2 = r(T - Mg) \\\\v^2 = \frac{r(T - Mg)}{m}\\\\v = \sqrt{\frac{r(T - Mg)}{m}}\)

Plug in values and solve.

\(v = \sqrt{\frac{(0.75)(40 - 1.2(9.8))}{1.2}} = \boxed{4.201 \frac{m}{s}}\)

A 1.2kg stone is tied to a string and swung in a vertical circle with a radius of 0.75m. The string can

A 100V battery connected to two oppositely charged plates that are 10cm apart.
a. What is the magnitude of the electric field?
b. What is the electric force exerted on a +200uC ?

Answers

Answer:

Work to move unit charge from one plate to the other separated by d

W = E q d

Electric potential: V = W / q

E = V / d = 100 Volts /  .1 m = 1000 Volts / m

F = E q = 1000 Joule / C m * 2 * 10E-4 C

F = .2 J / m = .2 N

The atomic number of an atom is determined by its1) number of electrons.2) number of protons.3) number of neutrons.4) sum of protons and neutrons.

Answers

The atomic number of an atom can be said to be defined by the number of protons in an element.

An atom can be said to be the part of an element. It defines a particle of matter that uniquely defines an element.

A proton is a stable subatomic particle which contains a positive charge that forms part of the nucleus of an atom. A proton determines the atomic number of an atom.

Therefore, the number of protons in an element determines the atomic number.

ANSWER:

2) Number of protons.

Hi please answer the question labeled d

If Q1 is 5 times larger than Q2 the force that Q1 exerts on Q2 is?
(greater than, smaller than, or exactly the same as) the force that Q2 exerts on Q1.

Hi please answer the question labeled dIf Q1 is 5 times larger than Q2 the force that Q1 exerts on Q2

Answers

part a) If Q increases by 5 times its original value, the electrostatic force (F) will increase5 times as well.

part b) If r is halved (reduced by 2), the force will become four times stronger (since 2² = 4).

part c) If Q1 is positive and Q2 is negative, the charges will attract each other.

part d) If the force that Q1 exerts on Q2 is 5 times larger than the force that Q2 exerts on Q1 is same.

What is electrostatic force?

The electrostatic force is described as the force of attraction or repulsion between two charged particles.

With regards to Coulomb's Law, we have that the electrostatic force between two charges separated by a distance is :

Force = k * (Q1 * Q2) / r²

Where:

F_ =  electrostatic force

k = electrostatic constant

Q1 and Q2 =  magnitudes of the charges

r = distance

for case a:

If one of the charges, Q1 or Q2, increases by 5 times then the electrostatic force  will also increase by 5 times.

case b)

If the distance between the charges, r, is halved, the electrostatic force   will become four times stronger because (1/r²).

for case c.

if Q1 is positive and Q2 is negative, the charges will attract each other because of magnetic laws.

for case d.)

If the force that Q1 exerts on Q2 is 5 times larger than the force that Q2 exerts on Q1 is same as there is a resulting stronger gravitational or electromagnetic force.

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calculate how much heat is released when 500g of platinum is cooled from 250.0K to 240.0K

Answers

Q= heat
m= mass
C= specific heat
AT- change in temperature (final minus initial)

Q=mCA(delta)T
Q=500g(0.133J/g*C)(-10*C)
Q= -655 J

Answer:

Q = 665 J

Explanation:

Given:

m = 500 g = 0.5 kg

T₁ = 250.0 K

T₂ = 240.0 K

c = 133 J / ( kg*⁰K) - Specific heat capacity of platinum

___________

Q - ?

 Heat is released:

Q = c*m*( T₁ - T₂) = 133*0.5*(250.0 - 240.0) =

= 133*0.5*10 ≈ 665 J

If a car traveled 8 miles for 15 minutes, 3 miles for 11 minutes, and 2 miles for 4 minutes, what its average speed?

Answers

The average speed of the car is calculated as 0.43miles/min.

HOW TO CALCULATE AVERAGE SPEED:

The average speed of the car can be calculated by dividing the distance covered by the time taken. That is;

Average speed (miles/mins) = distance covered (miles) ÷ time (mins)

However, the total distance covered is summed as follows:

8 miles + 3 miles + 2 miles = 13 miles

The total time taken is calculated as follows:

15 mins + 11 mins + 4 mins = 30 mins

Average speed = 13 ÷ 30

Average speed = 0.43miles/min.

Therefore, the average speed of the car is calculated as 0.43miles/min.

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Mass movements occur on slopes because of the pull of gravity.

a. True
b. False

Answers

Answer:

true

Explanation:

5.
How are current and resistance related?

A. Inverse relationship
B. Direct relationship
C. No relationship

Answers

Current and resistance are related by an Inverse relationship , your answer will be (A)
It’s A. The current is directly proportional to the voltage and inversely proportional to the resistance.

To understand the meaning of the variables that appear in the equations for rotational kinematics with constant angular acceleration. Rotational motion with a constant nonzero acceleration is not uncommon in the world around us. For instance, many machines have spinning parts. When the machine is turned on or off, the spinning parts tend to change the rate of their rotation with virtually constant angular acceleration. Many introductory problems in rotational kinematics involve motion of a particle with constant, nonzero angular acceleration. The kinematic equations for such motion can be written as

Answers

Answer:

   ω = ω₀ + α t

      ω² = ω₀² + 2 α  θ

      θ = θ₀ + ω₀ t + ½ α t²

Explanation:

Rotational kinematics can be treated as equivalent to linear kinematics, for this change the displacement will change to the angular displacement, the velocity to the angular velocity and the acceleration to the angular relation, that is

     x → θ

     v → ω

     a → α

with these changes the three linear kinematics relations change to

      ω = ω₀ + α t

      ω² = ω₀² + 2 α  θ

      θ = θ₀ + ω₀ t + ½ α t²

where it should be clarified that to use these equations the angles must be measured in radians

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The required subject matter expertise or background for an evaluator is documented in the exercise evaluation plan. g the market quantity in a perfectly competitive market is 600. if there are 3 firms in a costless cournot-style oligopoly in this market, what quantity will be sold? 3^17 mod 25. Can anyone tell me how they got 6? CLAIM: Homework is a necessary tool for students to develop long-term mastery of their learning content. I agree with this statementI disagree with this statement A student divided 1.374 by 4 and got 3.435.a) Without dividing, how do you know the answer is incorrect?b) What do you think the student did wrong?c) What is the correct answer? How can you check? 8x+3y= 70; y=2 Solve for x. Compare and contrast the experiences ofCatalina and the author, Cecilia Aragon. Use at least TWOdetails from the story and two details from the author'snote to support your response. what is the heat absorbed by 47.5g of silver (Ag) when the temperature rises by 10.0*c?( The specific heat of silver is 0.240 j/g *c ) Nikita paid $2073.90 in Medicare Tax last year. If Medicare tax is $1.45 tax per $100 earned, what was Nikita's annual income last year? Round your answer to the nearest dollar. Why don't we see objects in the universe colliding or moving towards each other due to gravitational force? If the caffeine concentration in a particular brand of soda is 3.91 mg/oz, drinking how many cans of soda would be lethal?Assume that 10.0 g of caffeine is a lethal dose, and there are 12 oz in a can. describe your greatest fear that you have to face in your life Which of the following would be a good topic sentence for a process paragraph? A. You must always read the recipe through all the way before you begin. B. As an amateur baker, I learned that there are four steps to flawless baking. C. Those are the steps you must follow to achieve baking perfection. D. Baking is a wonderfully relaxing and fruitful activity. Graph y=-x+3 by plotting ordered pairs The smallest area on a drive that data can be written to is a _______, while the smallest area on a drive that a file can be written to is a ________.A. bit and byteB. sector and clusterC. volume and driveD. memory and disk How did women gain power during the industrial revolution Consumers of public goods will Question 3 options: have an incentive to save and protect the good for a time when the need is greater. have an incentive to consume without regard to the cost of production. not consume the product if it costs too much to produce. have an incentive to purchase only the quantity that they can afford. what lasting consequences did humanism have on european countries 2 - 10z 11 = 0Determine which equation has the same solutions as the given equation.A.(25)2 = 36B.(z 10) = 21O c.(5)2 = 21O D. (10) = 36 Tom delivers newspapers every morning.Today he did the following:Delivered 10 newspapers on Flinders StreetDelivered 6 newspapers on Collins StreetPicked up 20 newspapers from the newsagentDelivered 15 newspapers on Lonsdale StreetWhen Tom returned home there were eight newspapers in his bag.How many did Tom start with?