A bullet with a mass of 4.26 g and a speed of 881 m/s penetrates a tree horizontally to a depth of 4.44 cm. Assume that a constant frictional force stops the bullet. Calculate the magnitude of this frictional force. Try energy considerations.

Answers

Answer 1

Let F be the magnitude of the frictional force. This force performs an amount of work W on the bullet such that

W = -Fx

where x is the distance over which F is acting. This is the only force acting on the bullet as it penetrates the tree. The work-energy theorem says the total work performed on a body is equal to the change in that body's kinetic energy, so we have

W = ∆K

-Fx = 0 - 1/2 mv²

where m is the body's mass and v is its speed.

Solve for F and plug in the given information:

F = mv²/(2x)

F = (0.00426 kg) (881 m/s)² / (2 (0.0444 m))

F = 37,234.8 N ≈ 37.2 kN


Related Questions

Two particles A and B start simultaneously from a Point P with velocities 20 m/s and 30 m/s respectively. A and B move with acceleration equal in magnitude but opposite in direction. When A overtakes B at Q, its velocity is 30 m/s. The velocity of B at Q :

Answers

Answer:

20 m/s

Explanation:

Given

u(A) = 20 m/su(B) = 30 m/sacceleration equal in magnitude but opposite in direction

Solving

Velocity of A at Q = 30 m/sFrom, P to Q, Δv(A) = 30 - 20 = +10 m/sTherefore, velocity of B at Q will be decreased by 10 as it is equal in magnitude but opposite in direction to AΔv(B) = v(B at Q) - u(B at P)-10 m/s = v(B at Q) - 30 m/sv(B at Q) = 30 - 10 = 20 m/s

In which substance will light move slowest?

Answers

Answer:

light travels slowest in diamond

Explanation:

The higher the index of refraction is, the slower the speed of light is. The indexes of refraction for diamond, air, and glass are, respectively, 2.42, 1.00, and approximately 1.50, depending upon the composition of the glass. Light travels slowest in diamonds.

When a quality control test is performed to ensure that the penetrating ability of the x-ray beam is accurate, the result must be within what amount of the control panel setting

Answers

When a quality control test is performed to ensure that the penetrating ability of the x-ray beam is accurate, the result must be within what amount of the control panel setting will be ±4 kVp.

What is quality control?

Quality control entails testing units to see if they meet the standards for the final product.

The goal of the testing is to evaluate whether any corrective measures are required in the production process. Good quality control assists businesses in meeting customer needs for improved products.

When a quality control test is performed to ensure that the penetrating ability of the x-ray beam is accurate. The results must be under some limits.

Hence the result must be within what amount of the control panel setting will be ±4 kVp.

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Why is it sometimes difficult for scientists to identify a a fold or fault?

Answers

Folds and faults are difficult to identify because they occur in the interior of rocks and also due to the dense nature of the materials.

What are faults and folds?

Faults are lines of weakness are present in materials dues to uneven positioning of the particles of the material.

Folds occurs when infolds occur in materials.

Faults and folds usually occur in rocks.

Folds and faults are difficult to identify because they occur internally and also due to the dense nature of the materials.

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simple cell. Study it and answer the questions that follow ​

Answers

Explanation:

there is no picture or question attached

Which would take more force to stop in 17. 3 seconds: a 3. 2 kg ball rolling in a straight line at a speed of 0. 3 m/sec or a 4. 1 kg ball rolling along the same path at a speed of 1. 2 m/sec?

Answers

The second one (4.1 kg ball)

This is because the mxv is greater than the other one.

For the 4.1kg ball, the force it’s moving on is 4.92N

As for the 3.2kg ball, it’s moving with a force of 0.9N. Much less than the other one.

0.030 m3.
The balloon is compressed at a constant temperature causing the volume
decrease to 0.025 m3.
No helium leaves the balloon.
Calculate the new pressure in the balloon

Answers

Answer:

see below

Explanation:

P1V1 = P2V2

100 000 (.03)  = x ( .025)     x = 120 000 pa

Describe the relationship between current, voltage difference and resistance in a circuit.

Answers

Answer:

see below

Explanation:

voltage = current * resistance

A star is observed to have a temperature of 3000 k and a luminosity of 105. what is the color of the star? what group does the star belong to?

Answers

AnsAnswerwer:

the first box is red and the second boybox is giant

Explanation:

Answer:

the first answer is red and the second answer is supergiant

Explanation:

i just did it on edge 22

A uniform cube with mass 0.500 kg and volume 0.0270 m3 is sitting on the floor. A uniform sphere with radius 0.400 m and mass 0.800 kg sits on top of the cube. How far is the center of mass of the two-object system above the floor

Answers

Answer:

44 1/3 cm

Explanation:

The cube has an edge length of ∛0.027 m = 0.3 m, so a center of mass (CoM) 15 cm above the floor.

The sphere's center of mass is 40 cm above the top of the cube, so is 70 cm above the floor. The weighted average of the CoM locations is ...

 ((15 cm)(0.700 kg) +(70 cm)(0.800 kg))/(0.700 kg +0.800 kg)

 = (10.5 kg·cm +56 kg·cm)/(1.500 kg) = 44.333... cm

The center of mass of the two-object system is 44 1/3 cm above the floor.

what do it mean by the value of gravitational constant is 6.67×10^-11Nm^2/kg^2

Answers

Answer:

gravitational constant value means it was never change in any particular area of the Earth

A circuit carries a current of 0.64 A when there is a resistance of 50.0 Ω. The voltage applied to the circuit, to the nearest whole number, is ___ V.

Answers

V = I • R

V = 32 volts

Answer:

32v

Explanation:

edge 2023

Your house is 45.0 m from a powerline carrying 152 A of current. How much magnetic field does the current create at your house?

?×10^? T

Answers

This question involves the concepts of th magnetic field and current.

The magnetic field created by the current at the house is "6.75 x 10⁻⁷ T".

Magnetic Field

The magnetic field created by a current carrying wire can be given by the following formula:

[tex]B=\frac{\mu_o I}{2\pi r}[/tex]

where,

B = magnetic field = ?[tex]\mu_o[/tex]= permeabiliy of free space =4π x 10⁻⁷I = current = 152 Ar = distance = 45 m

[tex]B=\frac{4\pi x\ 10^{-7}(152)}{2\pi(45)}[/tex]

B = 6.75 x 10⁻⁷ T

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What voltage source provides alternating current?

Answers

A good example of a voltage source, and the most commonly used, is a bettery. A voltage source is essential for any electrical circuit to function.

Answer:

an alternator or a generator      

Explanation:

batteries do NOT provide alternating current ...they provide DC

A crate is attracted toward the center of the earth by a gravitational force of 500 N. The force with which the earth is attracted toward the crate is:

Answers

Answer:

500 N    -    For every action there is an opposite and equal reaction.

If you drive an oscillator, it will have the largest amplitude if you drive it at its _______ frequency.

Answers

the answer is resonant frequency

Why do we think that ring particles must be replenished over time? where we think ring particles come from? choose the correct statement.

Answers

Answer:

Because collisions are constantly occurring within the ring systems, ring particles are continually being ground down to dust.

Explanation:

Energy is transferred in an electrical circuit through.

Answers

Answer:

Poynting field

Explanation:

magnetic field of currents named the Poynting field, chosen following in position or time the 19th of one hundred years English researcher John Poynting.

Hello people ~
The capacitance of a capacitor will decrease if we introduce a slab of:
(a) copper
(b) aluminium
(c) zinc
(d) None of these​

Answers

Answer:

Copper

Explanation:

Capacitance is directly proportional to dielectric constant

Aluminium and zinc are highly reactive and have high dielectric contact.

Copper has less dielectric constant hence capacitance will decrease

A tourist bus is carrying passengers from the bottom of a hill to the top. the people, the bus, and the luggage can be analyzed as a single . the total amount of energy in the system as the bus travels. this situation happens because some of the kinetic energy changes to energy because of friction between the tires and the road.

Answers

The  friction between the tires and the road causes loss of energy in the form of heat-energy.

What is kinetic energy?

The term kinetic energy refers to the energy of an object that is in motion. The pasengers that are sitting at a point possess potential energy. If the bus stops suddenly, the potential energy of the passengers is converted to kinetic energy as they move forward.

Since friction causes loss of energy, the  friction between the tires and the road causes looss of energy in the form of heat-energy.

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What is the power of a toaster if it can perform 3500 j of work In 3 minutes

Answers

Answer:

Around 20 watts, or 19.4W exactly

Explanation:

to calculate the power in a time frame you use
Joules/Time(Seconds) = W (your power)

So, we take 3500 joules / 3min (180sec)
3500/180 = 19.4W, if your question asks you to round up/down, round up to 20W of power! good luck!

would a sphere shaped eraser bounce

Answers

Yes it would, I’ve tried it before

I know this ain't right but can someone please correct the mistakes I have it for a test​

Answers

Answer:

NICE HANDWRITING. I've done this before and I'm sure everything is correct. Although I would re-check to see if you had any mistakes with your calculations. Good job!

Explanation:

A mass on the end of a spring undergoes simple harmonic motion. At the instant when the mass is at its equilibrium position, what is its instantaneous velocity?.

Answers

Answer:

V = ω A sin ω t       can be used to describe SHM

When sin ω t = 1 (the maximum value possible)

V = ω A          at equilibrium sin ω t = 1

A bowling ball with a mass of 9kg is thrown down a lane with a constant speed of 3 m/s. The ball hits the 1.5kg pin, initially at rest, at the end of the lane. After the collision the pin moves with a speed of 5 m/s. How fast is the ball moving after the impact?​

Answers

Answer:

M1 V1 = M1 V2 + M2 V3    conservation of momentum

V2 = (M1 V1 - M2 V3) / M1      where V2 = speed of M1 after impact

V2 = (3 * 9 - 1.5 * 5) / 9  =   (27 - 7.5) / 9 = 2.17 m/s

Note: All speeds are in the same direction and have the same sign

When astronauts aboard the space shuttle look down at the earth, its atmosphere appears blue. Why?.

Answers

Answer:

Reflection

Explanation:

The particles in the atmosphere only reflect the color blue and and all others are absorbed. Only the reflected colors can be seen from our eyes not the absorbed ones

The velocity of a free falling ball at different time intervals on unknown planet is shown in Figure 1.24.

Answer all of the following questions based on the image

A) What is the acceleration due to gravity of the planet?

B)What is the velocity at positions A and B?

C)What happens to the magnitude of velocity with passage of time? Why?

D)What factor(s) can influence the falling object on the Earth?

Answers

Answer:

a1 = (V2 - V1) / 1 s = 3.75 m/s^2

a2 = (V2 - V1) / (t2 - t1) = (7.5 - 3.75) / 1 s = 3.75 m/s^2

a3 = (V2 - V1) / (t2 - t1) = (7.5 - 3.75) / 1 s = 3.75 m/s^2

A) a = (a1 + a2 + a3) / 3 = 3.75 m/s^2

v = a (t2 - t1)

B) after    1 sec    v = 3.75 m / sec^2 * 1 sec = 3.75 m/s

    after   2 sec     v = v0 + a t = 3.75 m/s + 3.75 m/s^2 * 1 s = 7.5 m/s

C)  The velocity increases proportionaly to the time

D) One factor depends on the variation of the acceleration due to gravity because of different positions of measurement (on earth)

A much larger factor is due to air resisance of the air on the falling object

In the first video for chapter 29, we looked at the emission spectrum of excited gases. In this video, we look at the __________ spectrum of colored filters

Answers

Although the video is not found here, the sentence makes reference to the transmission spectrum of colored filters.

What is the transmission spectrum?

The transmission spectrum indicates the light portion having a given wavelength that can be passed through a filter.

This spectrum (transmission spectrum) depends on the physical separation of the particles that form the filter.

In conclusion, although the video is not found here, the sentence makes reference to the transmission spectrum of colored filters.

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A car is driving at 18 m/s as it begins to merge onto a freeway. If it starts to accelerate at a constant rate of 5 m/s2, how long does it take the car to reach a speed of 47 m/s

Answers

Answer:

it will take 5.8seconds

an air track car with a mass off 0.25 kg and velocity of 3.4 m/s to the right collides and couples with a 0.45 kg car moving to the left with a velocity of 3.9 m/s. what is the combined velocity of the cars just after the collision?

Answers

Answer:

Two objects are moving in opposite direction on a straight line. After collision, they stick together and move with common velocity

The total momentum of a colliding system is constant always. Therefore, by using this concept, the final velocity of the coupled mass will be 3.7 m/s.

What is momentum ?

Momentum of an object is the ability of an object to bring the force applied to make a maximum displacement. It is the product of its mass and velocity. Momentum is a vector quantity. It have both magnitude and direction.

The momentum in a collision is conserved. Thus total initial momentum is equal to the final momentum. Let m1 and m2 be the colliding masses and the u and v be the initial and final velocity.

Then, m1 u1 + m2u2 = (m1 + m2)v for a coupled mass after collision.

then final velocity v =  ( m1 u1 + m2u2 )/ (m1 + m2)

Apply the given values in the equation as follows:

v = (0.25 kg ×3.4m/s + 0.45 kg× 3.9 m/s)) (0.45 + 0.25) = 3.7 m/s

Therefore, the final velocity of the coupled masses after collision is  3.7 m/s.

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