The 4kg head of a sledge hammer is moving at 6m/s when it strikes a chisel, driving it into a log. The duration of the impact (or the time for the sledge hammer to stop after contact) is 0.0020s. Find the time average of the impact force

Answers

Answer 1

Answer:

The average impact force is 12000 newtons.

Explanation:

By Impact Theorem we know that impact done by the sledge hammer on the chisel is equal to the change in the linear momentum of the former. The mathematical model that represents the situation is now described:

[tex]\bar F \cdot \Delta t = m \cdot (v_{2}-v_{1})[/tex] (1)

Where:

[tex]\bar F[/tex] - Average impact force, in newtons.

[tex]\Delta t[/tex] - Duration of the impact, in seconds.

[tex]m[/tex] - Mass of the sledge hammer, in kilograms.

[tex]v_{1}[/tex], [tex]v_{2}[/tex] - Initial and final velocity, in meters per second.

If we know that [tex]\Delta t = 0.0020\,s[/tex], [tex]m = 4\,kg[/tex], [tex]v_{1} = -6\,\frac{m}{s}[/tex] and [tex]v_{2} = 0\,\frac{m}{s}[/tex], then we estimate the average impact force is:

[tex]\bar F = \frac{m\cdot (v_{2}-v_{1})}{\Delta t}[/tex]

[tex]\bar F = 12000\,N[/tex]

The average impact force is 12000 newtons.


Related Questions

a block of mass m is released from rest and slides down an incline, as shown in the figure. the length d of the incline is 0.8 m and the angle of the incline, θ, is 37°. a graph of the speed v as a function of time t of the block as it descends the incline is shown. how could a student use the graph and the information provided to determine whether the block-earth system is an open system or a closed system?

Answers

The system is open, because there is a net force exerted on the block.

What are some instances of kinetic energy?

An individual strolling, a taking off baseball, a piece tumbling from a table and a charged molecule in an electric field are instances of dynamic energy at work. An item that isn't moving has zero motor energy.

The energy an item has as a result of motion is known as kinetic energy. A force must be applied to an item in order to accelerate it. We must put forth effort in order to apply a force. After the job is finished, energy is transferred to the item, which then moves at a new, constant speed.

According to question:

On graphing free body diagram of the problem

There is a force = mgsin(37°)

So, the it is a open system.

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A wheel i rotating about an axi that i in the z-direction. The angular velocity ωz i -6. 00 rad/ at t = 0, increae linearly with time, and i 4. 00 rad/ at t = 10. 0. We have taken counterclockwie rotation to be poitive. I the angular acceleration during thi time interval poitive or negative?

Answers

The time interval during which the speed of the wheel is increasing is 4 s.

What is angular acceleration?

The temporal rate at which angular velocity changes is known as angular acceleration. The standard unit of measurement is radians per square second.

Calculation:

The angular velocity at time t = 0, is ω₁ = - 6.00 rad/s.

The angular velocity at time t = 10.0 s, is ω₂ = +4.00 rad/s.

Angular acceleration of the wheel = change in angular velocity /time interval

= ( 4.00 - (-6.00))/10 rad/s²

= 1.0 rad/s²

Hence, angular velocity becomes zero at time = ( 0 - ( -6))/1.0 s = 6 s.

So, during t = 0 to t = 6s, the clockwise angular velocity of the wheel decreases from 6.00 rad/s to 0.00 rad/s and  during t = 6s to t = 10s , the counterclockwise angular  velocity of the wheel increases from 0.00 rad/s to +4.00 rad/s.

Hence,  the time interval during which the speed of the wheel is increasing is = 10 s - 6 s = 4 s.

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20 points, will give brainliest.
If 37 newtons of force is applied to the object pictured above with 6 newtons of friction...

Answers

Answer: 31 N

Explanation:

Forces in the y-direction (Fn and Fg) are balanced. (ΣFy = 0)

ΣFx = Fa- Ff = 37N - 6N = 31N

What is the unit of frequency and wavelength?

Answers

frequency: Hz
waverlength: m

A sports car has a mass of 1500 kg and accelerates at 5 m/s every second. What is the net force on the car?.

Answers

The needed force is therefore F=ma=15000.5=750 N. The car accelerates at 3 m/s2 and needed 4500 N of force to get to the destination 5 seconds after starting,

the car reaches a speed of 5 metres per second.

The sports car weighs 1500 kilogrammes.

The sports car's acceleration is equal to 5 m/s2.

Therefore, let F be the force acting upon it.

The rate of doing labour is called power. Work is the result of the applied force and the distance travelled along the force's direction by the moving body accelerates.

The formula for Newton's second law must be used to compute the force, and the specified values must be entered into the formula. So let's get going. Car weight is 1500 kg. Speed is equal to 10 m/s2.

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This is in finance literacy Please help ASAP

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C. the amount of money in your checking account

What happens when magnesium becomes a 2+ ion?

Answers

When magnesium becomes a 2+ ion its becomes cation that is positive charge.

Due to its 12 protons and membership in group 2 of the periodic table, magnesium possesses two electrons in its outer shell (positive charges)

We know that ionic substances consist of two ions, one of which is a positive cation and the other is a negative anion. For instance, cations and anion are produced when we divide ionic substances into their individual ions.

(a), Breaking of [tex]$\mathrm{MgBr}_2$[/tex] into ions '

[tex]\left.\mathrm{MgBr}_2_(aq) \longrightarrow \mathrm{Mg}_{(\mathrm{aq})}^{2+}+2 \mathrm{Br}_{\left(a q_1\right)}{ }^2\right[/tex]

Cation formula [tex]$=Mg^{2+} (a q)$[/tex]

Anion Formula [tex]$=\mathrm{Br}^{\ominus}(a q)$[/tex]

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What force makes an object slide?

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The force of sliding is the force required to keep an object moving at a constant velocity while it is sliding on a surface.

This force is equal in magnitude to the force of friction acting between the object and the surface, but opposite in direction. The force of friction acts between two surfaces that are in contact and is directed opposite to the direction of motion. When an object is sliding on a surface, the force of friction acts to slow the object down and eventually bring it to a stop.

If the object is moving at a constant velocity, the force of friction is equal in magnitude to the force applied to the object, but opposite in direction. This force is known as the force of sliding.

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Which planet has an orbital eccentricity most like the orbital eccentricity of the moon?

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The planet with an orbital eccentricity most like the orbital eccentricity of the Moon is Earth. The orbital eccentricity of a celestial body is a measure of how much its orbit deviates from a perfect circle. An orbital eccentricity of 0 represents a perfect circle, while an orbital eccentricity of 1 represents a parabolic orbit.

The orbital eccentricity of the Moon is approximately 0.0549, which is relatively small compared to other celestial bodies. The orbital eccentricity of Earth is also small, with a value of approximately 0.0167. This means that both the Moon and Earth have orbits that are relatively close to being circular.

In contrast, many other planets in the solar system have much larger orbital eccentricities. For example, Mars has an orbital eccentricity of 0.0935, while Mercury has an orbital eccentricity of 0.2056. The largest orbital eccentricity in the solar system belongs to Pluto, which has an orbital eccentricity of 0.2488.

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What is the speed of EM waves in a vacuum in km s?

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All electromagnetic waves travel at the same speed in a vacuum, which is 300,000 km/sec (186,000 mph). This results from the electromagnetic waves' oscillating nature.

How fast is an electromagnetic wave in a vacuum?

In general, we say that light moves in waves and that all electromagnetic radiation moves through a vacuum at a speed of around 3.0 * 108 meters per second. Nothing can move faster than the speed of light, which is what we refer to as.

What is the vacuum's speed?

The universal scientific constant known as c—the speed of light in a vacuum—is significant in many branches of physics. The exact value of the speed of light, c, is 299,792,458 meters per second.

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What is the primary rationale behind making space travel available to the general public beyond the profits it might generate?.

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The primary rationale behind making space travel available to the general public for exploring space includes advancing scientific research, national prestige, unifying nations, ensuring future human survival, and developing military and strategic superiority over other nations.

Since 1960, the main purpose of space travel has been to send humans into outer space. At a cost of at least US$250 (roughly R$1.3 million) per seat, 2021 should be the first year of a suborbital flight with a passenger.

The first advantage of space exploration is knowledge. Thanks to this, people can get much more information about the universe. It's not just about the shape of the Earth or the number of planets in our solar system, it's about understanding the laws and secrets of our universe.

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Skyler whose mass is 74.5 kg is moving across at 9.52 m/s while holding a 2.05 kg carefully packed snowball forward with speed of 15.9 m/s . Determine Skyler velocity after throwing the snowball .

Answers

Skyler velocity after throwing the snowball  is 9.34 m/s in forward direction.

What is velocity?

A body's velocity is the rate at which its displacement alters with respect to time. A vector quantity with both magnitude and direction is velocity. The meter/second unit of measurement for velocity.

Given that Skyler whose mass is 74.5 kg is moving across at 9.52 m/s while holding a 2.05 kg carefully packed snowball.

forward speed of the snowball = 15.9 m/s.

Let the Skyler velocity after throwing the snowball = v.

According to principle of conservation of momentum;

Total initial momentum = total final momentum

⇒ (74.5 + 2.05)9.52 = 74.5×v + 15.9×2.05

⇒ 74.5×v  = (74.5 + 2.05)9.52  - 15.9×2.05

⇒ v = 9.34 m/s.

Hence, velocity of the Skyler  is 9.34 m/s. in forward direction.

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a solenoid 4.00 cm in diameter and 20.0 cm long has 500 turns and carries a current of 15.0 a. calculate the magnetic flux through the circular cross-sectional area of the solenoid.

Answers

The solenoid's circular cross-sectional area has a magnetic flux of 0.0185 voltsec.

The magnetic constant, 0 in the formula, has a value of 4 x 10-7 Hm-1 or 12.57 x 10-7 Hm-1. N and I in the formula stand for the number of turns and the current flowing through the solenoid, respectively.

Calculation:

R = 2 cm for the solenoid's radius

L=20cm,    turns=N=500

turns per unit length = n=1,250turns/meter

current i=15A

Magnetic field through the solenoid = μ0ni=4π×10 −7 ×1250×15units

B=2.356×10−2 H

Outside of the solenoid's turns, the magnetic field is 0 and only exists in the region around r.

Flux=B×πr2 =0.0185voltsec

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Which electromagnetic wave has the lowest frequency?

Answers

Radio waves are the types of EM radiation with the lowest energy, longest wavelengths, and lowest frequencies.

What are radio waves?The electromagnetic spectrum's longest wavelengths, which are found in radio waves, are normally found at frequencies of 300 gigahertz (GHz) and lower. The wavelength for 30 Hz is 10,000 kilometers (6,200 miles) while the wavelength for 300 GHz is 1 mm (shorter than a grain of rice) (longer than the radius of the Earth). Like all electromagnetic waves, radio waves move at the speed of light in a vacuum and at a nearly same, slightly slower speed in the Earth's atmosphere. Charged particles, such as time-varying electric currents, that are accelerating produce radio waves.

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a force produces power p by doing work w in a time t what power will be produced by a force that

Answers

The power that will be produced by such a force is 12 times the initial power.

What is power?

Power can be defined as the time rate of doing work. Also power can be defined as the energy expended per unit time.

Mathematically, the formula for power expended by an object is given as;

p = E / t

where;

p is the  powerE is the energyt is the time

p = w / t

where;

w is the work done

When a force does six times as much work in half as much time, the power becomes;

p' = (6w) / (¹/₂t)

p' = (2 x 6w) / t

p' = 12w/t

p' = 12 (p)

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The complete question is below:

a force produces power p by doing work w in a time t what power will be produced by a force that does six times as much work in half as much time?

The greater efficiency achieved with the curved blades of a pelton wheel is due to

Answers

The greater efficiency achieved with the curved blades of a Pelton wheel is due to the fact that the curved shape of the blades allows them to more effectively capture and use the energy of the water jet.

In a Pelton wheel, water is jetted through a nozzle onto the blades of a turbine, which rotates and converts the energy of the water jet into mechanical work. The shape of the blades plays a significant role in the efficiency of the turbine. Curved blades are more efficient than straight blades because they can capture and use more of the kinetic energy of the water jet.

The curved shape of the blades creates a more efficient flow of water over the surface of the blade, which allows the blade to extract more energy from the water jet. This results in a higher torque and power output from the turbine, leading to a more efficient conversion of water energy into mechanical work.

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what is the mathematical formula to calculate resistance when the value of voltage and current are known

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Voltage divided by current equals resistance (R=VI R = V I). Ohm's Law (E = IR) is as basic to electronics students as Einstein's Relativity equation (E = mc2) is to physicists.

When written down, voltage = current x resistance, or volts = amps x ohms, or V = A x. According to Ohm's law, the current flowing through a conductor between two places is proportional to the voltage across the two points. According to Ohm's law, the current flowing through a conductor between two places is proportional to the voltage across the two points. The formula for Ohm's law is V I. As a result, V = RI, where R is a constant known as resistance.

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A hot stovetop transfers thermal energy by the method of

This is due to the contact between the bottom of a
cooler pot with the warmer burner on the stove.

Answers

Answer:

Conduction is the answer!!!

Explanation:

(can you try to help me with my most recent questions) ty

the gas undergoes an isothermal compression from point 2 until the volume is restored to the value it had at point 1. what is the final pressure of the gas? express your answer to two significant figures and include the appropriate units.

Answers

The final pressure of the gas is 3atm.

As given in the question,

The volume of the gas at point 1  ( [tex]V_1[/tex]) is 1000 [tex]cm^3[/tex]

The volume of the gas at point 2 ( [tex]V_2[/tex]) is 3000[tex]cm^3[/tex]

The pressure of the gas ([tex]P_2[/tex]) is 1 atm

For an isothermal process , the temperature of the system remains constant so,

The formula to find the pressure of the gas is

   [tex]P_1V_1=P_2V_2[/tex]                                                                      ----(1)

Where

[tex]V_1[/tex] is the volume of the gas at point 1

[tex]V_2[/tex] is the volume of the gas at point 2

[tex]P_1[/tex] is the pressure of the gas at point 1

[tex]P_2[/tex] is the pressure of the gas at point2

now substitute the values given in the question in the equation (1),

[tex]P_1V_1=P_2V_2\\P_1 =\frac{ P_2V_2}{V_1}[/tex]

=>[tex]P_1[/tex] = [tex]\frac{1\times 3\times10^{-3} }{1\times 10^{-3} }[/tex]

=> [tex]P_1[/tex] = 3

Pressure is 3 atm

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An object with an initial speed of 4. 0 meters per second accelerates uniformly at 2. 0 meters per second2 in the direction of its motion for a distance of 5. 0 meters. What is the final speed of the object?.

Answers

An object moving at an initial speed of 4.0 meters per second accelerates uniformly at 2.0 meters per second over a distance of 5.0 meters. What is the final speed of the object? Vi=4m/s

After uniformly accelerating in the direction of motion, the object's final speed is 6 m/s.

The final speed of the item is calculated using the third equation of motion. v is the final speed or velocity, a, where u is the initial velocity, an is the acceleration, and s is the distance covered.

The final velocity is 20 m/s.

Initial speed is 16 meters per second.

By changing these values in Equation 1, the equation can be solved.

20² = 16²+2×a×36\s36a = 400-256

36a = 144\sa = 144/36\sa = 4

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Why does this bright and dark pattern happen when light goes through the two slits?

Answers

The  bright and dark pattern happen when light goes through the two slits because of interference of light.

What is interference of light?

When two coherent light waves from separate sources collide, the energy distribution caused by the first wave is altered by the second. The term "interference of light" refers to this alteration in the distribution of light energy brought on by the superposition of two light waves.

The conditions of interference of light are:

The two light sources should continuously emit waves with the same wavelength and duration, or phase coherence.The two light sources ought to be situated quite close to one another.It should be impossible for two sources' waves to have any phase difference at all.

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What is kinetic energy short answer?

Answers

Energy possessed due to its motion

A loaded truck can accelerate at 4.3m / (s ^ 2) It loses its load so that it is only 0.2 as massive. By what factor must the acceleration change for the same driving force?

Answers

The new acceleration of the truck  for the same driving force is 21.5  m/s^2.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity.

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. A spring balance can be used to calculate the Force. Newton is the SI unit of force.

Given that: A loaded truck can accelerate at 4.3m/s^2.

It loses its load so that it is only 0.2 as massive.

As force = mass × acceleration, the new acceleration of the truck for same driving force is =  (4.3 ÷ 0. 2) m/s^2

= 21.5  m/s^2

Hence, the new acceleration of the truck is 21.5  m/s^2.

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What are the 6 elements of satire?

Answers

Paradox
Antithesis
Parody
Violence
Vividness
Exaggeration

How long will it take for a radioactive sample to reduce to 1% of his original activity?

Answers

The amount of material must also fall to [1%] of its initial amount for the activity of the supplied radioactive isotope to decrease to [1%] of its initial level. As a result, it will take the radioactive isotope [6.645T] years to decay to around [1%] of its original value.

How much of a radioactive element remains after one half-life?

As a result, 50% of the original parent nuclei are still present after one half-life, 25% after two half-lives, etc. The half-life and the initial quantity of radioactive atoms present both affect how much radiation is produced by a radioactive source.

How much would still be radioactive after six days?

So after 3 half lives, or 6 days, around 12.5% of the total radioactive material will still be present.

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a ball is kicked at an angle of 40 degrees with the ground with the initial velocity of 15m/s. the ball reaches point b after 1.5 seconds. 1. what is the initial velocity in the y-direction? 2. what is the final velocity in the x-direction (at point b)? 3. what is the range, xb, in meters? 4. what is the height, hb, when the ball reaches point b, in meters?

Answers

(1) The initial velocity in the y-direction is 9.64 m/s.

(2) The final velocity in the x-direction is 11.5 m/s.

(3)  The range, xb, of the ball is 22.6 m.

(4) The maximum height reached by the ball is 4.74 m.

What is the initial vertical component of the velocity?

The initial vertical component of the velocity is calculated using the following kinematic equation.

Vy = V sinθ

where;

V is the initial velocity θ is the angle of projection of the ball

Vy = V sinθ

Vy = ( 15 m/s ) x ( sin 40 )

Vy = 9.64 m/s

The final velocity in the x-direction is calculated as follows;

Vₓf = Vxi = V cosθ

where;

Vₓf is the final horizontal velocity Vₓi is the initial horizontal velocity

Vₓf  = ( 15 m/s ) x ( cos 40 )

Vₓf  = 11.5 m/s

The range of the ball is calculated as follows;

R = v² sin (2θ) / g

R = ( 15² sin (2 x 40) ) / 9.8

R = 22.6 m

The maximum height reached by the ball is calculated as;

H = v² sin²θ / 2g

H = ( 15² x ( sin 40 )² ) / (2 x 9.8)

H = 4.74 m

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FILL IN THE BLANK. the volume of 0.15 mol of an ideal gas at 365 torr and 97 °c is ________ l.

Answers

"The volume of 0.15 mol of an ideal gas at 365 torr and 97 °C is calculated to be 9.5 L."

The ideal gas law asserts that the pressure, volume, and temperature of an ideal gas are all directly correlated. An ideal gas is a fictitious gas that adheres to this law.

Given the number of moles, temperature, and pressure, the ideal gas law can be used to determine the volume of an ideal gas.

The ideal gas law equation is, PV = nRT.

When the equation is rearranged to account for volume, the result is

V = nRT/P. Plugging in the given values, the volume of 0.15 mol of an ideal gas at 365 torr and 97 °C is 9.5 L.

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How do you solve properties of parallel lines cut by transversal?

Answers

When the alternative interior angles of two lines cut by a transversal line are equal, they are parallel.

Alternate interior angles are two angles on the inside side that are opposite each other. When the alternate exterior angles of two lines cut by a transversal line are equal, they are parallel. Alternate external angles are two angles on the outside that are opposite each other. Four sorts of angles are created when parallel lines are sliced by a transversal. Examine the diagram below to identify the many pairs of angles and their relationships. The picture depicts two parallel lines 'a' and 'b' separated by a transversal 'l'.

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A 0.290-mm-diameter silver wire carries a 40.0 mA current. What is the electric field in the wire? Express your answer with the appropriate units. What is the electron drift speed in the wire? Express your answer with the appropriate units.

Answers

Answer:

E = 0.0096 N/C

Explanation:

E = I/σπr²

I = 40 mA = 0.04A

σ silver = 6.29X10⁷ /Ωm

r = 0.29 mm/2 = 0.145 mm = 1.45x10⁻⁴ m

E = 0.04A / (6.29X10⁷ /Ωm)(π)(1.45x10⁻⁴ m)² = 0.0096 N/C

*sorry, don't have time to calculate electron drift velocity for you!

When an object is moving with uniform circular motion, the object’s tangential speed?

Answers

Answer:

is constant

Explanation:

When an object is moving with uniform circular motion, the object’s tangential speed is constant.

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