Robin fired a bullet of mass 100 gm from a gun of mass 5 kg. The bullet leaves the gun with a speed of 400 m/s. After penetrating 4 cm of a plank of 10 cm, the bullet loses one third of its initial velocity.
a. Calculate the backward velocity of the gun?
b. Can the bullet penetrate the plank of the wood completely? Explain mathematically.

please help

Answers

Answer 1

(a) The recoil or backward velocity of the gun is 8 m/s.

(b) The bullet cannot penetrate the plank of the wood completely.

The given parameters include;

mass of the bullet, m₁ = 100 g = 0.1 kgmass of the gun, m₂ = 5 kginitial velocity of the bullet, u₁ = 400 m/sthickness of the plank, x = 10 cm

(a) The backward or recoil velocity of the gun is calculated by applying the principle of conservation of linear momentum.

let the backward or recoil  velocity of the gun = u₂

m₁u₁  + m₂u₂ = 0

m₂u₂ = -m₁u₁

[tex]u_2 = -\frac{m_1u_1}{m_2} \\\\u_2 = - \frac{0.1 \times 400}{5} \\\\u_2 = -8 \ m/s[/tex]

Thus, the recoil or backward velocity of the gun is 8 m/s.

(b) determine if the bullet can penetrate the plank of the wood completely

the bullet traveled 4 cm and lost ¹/₃ of u₁the remaining distance to completely penetrate the plank = 6 cmthe final velocity of the bullet at 4 cm, v = 400 - ¹/₃ x 400 m/s  = 266.67 m/s

the acceleration of the bullet is calculated as;

v² = u₁² + 2as

2as = v² - u²

[tex]a = \frac{v^2 -u_1^2}{2s} \\\\a = \frac{(266.67)^2 -(400)^2}{2\times 0.04} = -1.111 \times 10^6 \ m/s^2[/tex]

Finally, determine the distance traveled by the bullet when it comes to a complete stop, that is the final velocity = 0

[tex]v_f^2 = v^2 + 2ad\\\\2ad = v_f^2 - v^2\\\\d = \frac{v_f^2 - v^2}{2a} \\\\d = \frac{(0) - (266.67)^2}{2(-1.111\times 10^6)} \\\\d = 0.032 \ m[/tex]

d = 3.2 cm

The total distance traveled by the bullet inside the plank = 4 cm + 3.2 cm = 7.2 cm

Therefore, the bullet cannot penetrate the plank completely.

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Related Questions

What does physics means to you. (own words)

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Answer:

the physical properties and phenomena of some thing.

In explannation

Physics is a branch of science. It is one of the most fundamental scientific disciplines. The main goal of physics is to explain how things move in space and time and understand how the universe behaves. It studies matter, forces and their effects. The word physics comes from the Greek .

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define 1 second time​

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Answer:

define 1 second time

One second is the time that elapses during 9,192,631,770 (9.192631770 x 10 9 ) cycles of the radiation produced by the transition between two levels of the cesium 133 atom. ... One second is equal to 1/86,400 of a mean solar day.

Answer:

One part of 86400 part of a day is called one second time.

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please answer me fast ​

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Answer: i think c

Explanation:QA: “What is ordinary glass made of ?”

Glass is mostly silica, or silicon dioxide, present as quartz in many types of sand. Pure silica forms a highly transparent glass, but has a very high melting or softening temperature, around 1700°C. Even at such high temperatures it is highly viscous and difficult to work. Its use is largely confined to applications requiring high transparency to ultra-violet and infra-red radiation, stability at elevated temperatures or low thermal expansion coefficient.

“Ordinary glass” windows and drinking vessels are typically made from soda-lime glass, containing silica with around 25% sodium, calcium and other oxides, which together reduce the softening temperature to roughly 500–600°C

3. Assume that the elastic bands on a slingshot work like a spring with a
spring constant of 250 N/m. If you have to pull back with 100 N of stretch
(spring) force to fully stretch the bands, how far will the elastic bands stretch?

Please help me

Answers

As you stretch the band a distance x, the force you need to exert has a magnitude of (250 N/m) x.

So if 100 N is required to stretch it to maximum length, then this length is x such that

100 N = (250 N/m) x   ==>   x = (100 N)/(250 N/m) = 0.4 m

Answer:

0.6

Explanation:

I got it right

A force of 50 N stretches a string by 4 cm,calculate the elastic constant.

Answers

Answer:

50/0.04= answer

which substance is an acid ?

Answers

Answer:

According to Arrhenius definition, an acid is a substance that releases hydrogen ion or hydronium ion.

there are also other definition like bronsted and lewis.

I HOPE IT WILL HELP

Your help will really be great plz help me

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5 N

Archimedes' Principle

25 N

what is the Ramsar convention?

Answers

The Ramsar Convention on Wetlands of International Importance Especially as Waterfowl Habitat is an international treaty for the conservation and sustainable use of wetlands.

match the columns

please answer this question
it's urgent​

Answers

Answer:

1. b

2. e

3. a

4. c

5. d

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How effectiveness of a small force is increased when action area of force is
reduced?

Answers

Answer:

The force is proportional to the area, for if we increase the area but keep the number of molecules per cubic centimeter the same, we increase the number of collisions with the piston in the same proportion as the area was increased.

Explanation:

more area =more space = more free for molecules = less pressure = less force.

How many millilitres are there in one dm3​

Answers

Answer:

there is 1000ml in 1dm3

Explanation:

Answer:

There are 1000 millilitres in one dm3 .

Q2.
1.0 kg of ice at -10°C is added to 10 g of water at 0°C.
(a)
Find the final temperature of the mixture. (The specific latent heat of fusion of
ice is 336 J/g and the specific heat capacity of ice is 2000 J kg K-1)


Please help

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Answer:

gsbddgshdhsghhdhdhvvs

solve the horizontal component​

Answers

Answer:

To find the horizontal component, we multiply the magnitude of the vector by the cosine angle referenced to the horizontal. To find the vertical component, we do the same thing, but take the sine angle.

The word ‘radiation’ is used to describe particles or waves that are emitted by an object (known as a ‘source’) and carry energy. Name two types of radiation other than nuclear radiation. For each type, name one source of that type of radiation.

Answers

Answer:

The word ‘radiation’ is used to describe particles or waves that are emitted by an object  

In physics, radiation is the emission or transmission of energy in the form of waves or particles through space or through a material medium. This includes: electromagnetic radiation, such as radio waves, microwaves, infrared, visible light, ultraviolet, x-rays, and gamma radiation (γ)

Explanation:

There are four major types of radiation: alpha, beta, neutrons, and electromagnetic waves such as gamma rays. They differ in mass, energy and how deeply they penetrate people and objects.

The first is an alpha particle. These particles consist of two protons and two neutrons and are the heaviest type of radiation particle. Many of the naturally occurring radioactive materials in the earth, like uranium and thorium, emit alpha particles

The second kind of radiation is a beta particle. It's an electron that is not attached to an atom. It has a small mass and a negative charge. Tritium, which is produced by cosmic radiation in the atmosphere and exists all around us, emits beta radiation. Carbon-14, used in carbon-dating of fossils and other artifacts, also emits beta particles. Carbon-dating simply makes use of the fact that carbon-14 is radioactive. If you measure the beta particles, it tells you how much carbon-14 is left in the fossil, which allows you to calculate how long ago the organism was alive.

The third is a neutron. This is a particle that doesn't have any charge and is present in the nucleus of an atom. Neutrons are commonly seen when uranium atoms split, or fission, in a nuclear reactor. If it wasn't for the neutrons, you wouldn't be able to sustain the nuclear reaction used to generate power.

The last kind of radiation is electromagnetic radiation, like X-rays and gamma rays. They are probably the most familiar type of radiation because they are used widely in medical treatments. These rays are like sunlight, except they have more energy. Unlike the other kinds of radiation, there is no mass or charge. The amount of energy can range from very low, like in dental x-rays, to the very high levels seen in irradiators used to sterilize medical equipment.

Find the amount of force required to move an object of 1200 kg at a velocity of 54 km/hr?​

Answers

F=m times v, which means it would be 64,800 N

The amount of force required to move the object is 64,800N

The first step is to write out the parameters given in the question;

Mass= 1200 kg

Velocity= 54 km/hr

The amount of force required to move the object can be calculated as follows;

Force= mass × velocity

= 1200×54

= 64,800N

Hence the amount of force that is required to move the object is 64,800N

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what give negative acceleration ?

Answers

Answer:

But negative acceleration means that the rate of change of velocity is negative or velocity decreases. Example: (1) When we apply brakes in a moving car, then negative acceleration acts on it and the car stops. (2) When we throw a ball upwards, then also negative acceleration acts on it.

Explanation:

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MATHEMATICALLY A NEGATIVE ACCELERATION MEANS YOU WILL SUBTRACT FROM THE CURRENT VALUE OF THE VELOCITY.

The mass of a body:
(a) decreases when accelerated
(b) increases when accelerated
(c)decreases when moving with high velocity
(d)none of above

Answers

The answer that is the most reasonable is the option B

its important please answer ​

Answers

Answer: Well we see that v= u- ft/m

lets say that ft= feet and m= mass

so you divide those and subtract u

leaving you with the value of v which is 13

A scientist measures the light from a distant star
at 525 nm. The constant for Wien's
displacement law is 2.9 x 10-3 m K. What is the
approximate temperature of the star in Kelvins?
A) 1500 K
B) 180,000 K
C) 1.5 K
D) 5500 K

Answers

The approximate temperature of the star as determined is D) 5500 K.

The Wien's displacement law relates the maximum wavelength of a body to its absolute temperature. Wien's displacement law states that:

λ = [tex]\frac{b}{T}[/tex]

where λ is the maximum wavelength of the body, b is the constant of proportionality and T is the absolute temperature.

Thus from the given question, λ = 525 nm (525 x [tex]10^{-9}[/tex]), and b = 2.9 x [tex]10^{-3}[/tex] mK.

So that,

525 x [tex]10^{-9}[/tex] = [tex]\frac{2.9*10^{-3} }{T}[/tex]

Make T the subject of the formula to have;

T = [tex]\frac{2.9*10^{-3} }{525*10^{-9} }[/tex]

  = 5523.81

T = 5523.81 K

T ≅ 5500.00 K

The approximate temperature of the star in Kelvin is 5500 K.

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(A stone dropped freely from 72 m height of the tower and reaches to the ground in 6 seconds. What is acceleration due to gravity of that stone. At what condition does the acceleration due to gravity becomes zero.)​

Answers

Answer:

As the stone is falling totally under the influence of gravity and toward the earth surface the acceleration is due to gravity and positive. Hence acceleration due to gravity,g is 4m/s²

in order for the average velocity to be different from the avergae speed, what has to be true of the object's motion?

Answers

Answer:

ok

Explanation:

Acceleration is defined as the rate of change of velocity.

Acceleration = (Change in velocity) / time taken

Acceleration = (Final velocity - initial velocity) / time

As the object velocity changes by the same amount in each second, it means the acceleration is constant.

blocks x and y are attached to each other by a light rope and can slide along a horizontal surface. Mass of block x is 10 kg and that of block y is 5 kg. the magnitude of force of friction on blocks x and y is 8.0 N and 4.0N respectively. Find the action-reaction forces that the blocks exert on each other if an applied force of 40 N(right) acts on block per illustration below.

Answers

Blocks x and y exerts action-reaction forces on each other with 146.1 N and 53.1 N respectively.

The given parameters:

mass of block x = 10 kg

mass of block y = 5 kg

magnitude of the frictional force of block x = 8 N

magnitude of the frictional force of block y = 4 N

the applied force to the right = 40 N

To find:

the action-reaction forces that the blocks exert on each other

The block y pulls block x to the left with the following reaction forces;

Force of block y = force due to its own weight + frictional force

Reaction Force of block y = mg  + 4 N

where;

g is the acceleration due to gravity = 9.81 m/s²

Reaction Force of block y = (5 x 9.81) + 4Reaction Force of block y = 49.1 + 4Reaction Force of block y = 53.1 N

Thus, block y reacts on block x with a force of 53.1 N

The block x acts on block y towards the right direction with following forces;

Force of block x on y =  force due to its own weight + frictional force + applied force to the right

Force of block x on y = (mg) + (8 N) + (40 N)Force of block x on y = (10 x 9.81) + (48)Force of block x on y = 98.1 + 48Force of block x on y = 146.1 N

Thus, block x acts on block y with a force of 146.1 N

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Using a fixed 20 V from the power source and three lightbulbs that have the same resistance, how would you design a circuit that would allow at least one bulb to use maximum power (have maximum brightness)?

Answers

Answer:

check photo

Explanation:

We should connect the three bulbs in parallel in order to allow at least one bulb to use maximum power.

We have a 20 V power source and three lightbulbs that have the same resistance.

We have to design a circuit that would allow at least one bulb to use maximum power.

What is the total resistance of the circuit if three resistances each of of resistance R(1), R(2) and R(3) are connected in parallel ?

For parallel combination of resistances, the total resistance will be -

[tex]\frac{1}{R_{T} } =\frac{1}{R(1)} +\frac{1}{R(2)} +\frac{1}{R(3)} \\[/tex]

We know that the power dissipated by the resistance is equal to -

P = V x I = [tex]I^{2} R[/tex] = [tex]\frac{V^{2} }{R}[/tex]

Let the three bulbs be B(1), B(2) and B(3) each with resistance ' R '. In parallel combination of the bulbs, the voltage across each bulb will be same as that of power source -

V [B(1)] = V [B(2)] = V [B(3)] = 20 V

Therefore, the power used by each bulb will be -

P [B(1)] = P [B(2)] = P [B(3)]  = [tex]\frac{20\times 20}{R}=\frac{400}{R}[/tex]

Whereas, in series combination the voltage drop will regularly take place after the current passes through a resistor.

Hence, we should connect the three bulbs in parallel in order to allow at least one bulb to use maximum power.

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Why do scientists not use US customary units when reporting their data?

Answers

One of the scientist's jobs is to report the results of his experiments to all the other scientists in the world.

There isn't a single real science shop anywhere in the world that uses the US customary system of units. Not one.

Even in the measly three countries that use it for measuring carpet, pumping gas, and weighing fish ... Myanmar, Liberia, an the USA ... the scientists do their work in the SI/MKS/metric system.

Which quantity can be measured directly using a micrometer screw gauge? A the area of a sheet of paper B the mass of a sheet of paper с the thickness of a sheet of paper D the volume of a sheet of paper​

Answers

Answer: C) the thickness of a sheet of paper.

Explanation:

A micrometer screw gauge is a tool that measures distances (in order of millimeters), from this, we can see that the correct option is C: the thickness of a sheet of paper.

Now let's expand on this.

Knowing that the micrometer only can measure distances, we need to analyze which of the options is only a distance.

Notice that while area and volume have similar units, are really different things.

So analyzing the options we have:

A) "the area of a sheet of paper"

To find the area we need two measures (length and width) and then multiply this, but with a micrometer, we never measure the length of a sheet of paper (the maximum measure that you can get in a micrometer is of a few centimeters).

B) "the mass of a sheet of paper"

We can't measure mass with a micrometer.

C) " the thickness of a sheet of paper"

The thickness of a sheet of paper is of the order of 1mm, so we can easily measure this with a micrometer screw gauge.

D) " the volume of a sheet of paper​"

We have a similar problem as the one seen in A.

Then the correct option is C.

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What is Anatomy & Physiology in 5 words?

Answers

Answer:

Anatomy is the study of the structure and relationship between body parts.

Physiology is the study of the function of body parts and the body as a whole.

Explanation:

Total distance between Karachi and Hyderabad is 120 km , if a car speed is 40 km/h, In how many hours it can travel back to Hyderabad

Answers

it takes 6 hours to travel back to Hyderabad

120/40= 3
Answer: 3

Proof:

V = ?
d= 15 m left
t = 5 s
What is the velocity?

Answers

Answer:

Velocity= 3[tex]ms^{-1}[/tex]

Explanation:

Formula to find velocity = Displacement/time taken

therefore, velocity= 15/5 ➤ Velocity = 3 [tex]ms^{-1}[/tex]

A man stands still on a moving walkway that is going at a speed of 0.2 m/s to
the west. What is the velocity of the man according to a stationary observer?
A. 0.2 m/s north
B. 0.2 m/s west
C. 0.2 m/s South
D. 0.2 m/s east

Answers

When,a man stands still on a moving walkway that is going at a speed of 0.2 m/s to the west,then the velocity of the man according to a stationary observer would be 0.2 m/s west,Therefore, the correct answer would be option B.

What is Velocity?

The total displacement covered by any object per unit of time is known as velocity. The velocity of an object is depend on the magnitude as well as the direction of the object.

the mathematical expression for velocity is given by

velocity = total displacement /time

The speed and velocity of the object are very different from each other because speed does not depend upon the direction of the moving  object but velocity depends on the magnitude of speed as well as the direction of the moving object.

As per given in the problem a man stands still on a moving walkway that is going at a speed of 0.2 m/s to the west therefore from the perspective  of a stationary observer the velocity of man would be 0.2 m/s towards West.

Hence the correct options for the problem would be option B.

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The mass of an object is 4kg and it has a density of 5gcm^-3. what is the volume ​

Answers

Answer:

density =   mass/ volume

5=4000/ volume

volume=4000/5

volume=800 cm^-3

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