A 20 Kg box is sliding across a horizontal table at 10m/s. If the coefficient of Friction is 0.5, what is the acceleration of the box?

Answers

Answer 1

By Newton's second law,

• the net vertical force on the box is

F = n - mg = 0

where n = magnitude of the normal force, m = mass of the box, and g = acceleration due to gravity; then

n = mg = (20 kg) (9.8 m/s²) = 196 N

• the net horizontal force on the box is

F = -f = -ma

where f = mag. of kinetic friction and a = acceleration of the box. Since

f = µn

where m is the coefficient of kinetic friction, so that

f = 0.5 (196 N) = 98 N

Then the box's acceleration is

-98 N = - (20 kg) a   →   a = (98 N)/(20 kg) = 4.9 m/s²


Related Questions

A 0.144-kg baseball is moving toward home plate with a speed of 43 m/s when
it is bunted. The bat exerts an average force of 6,500-N on the ball for 0.00135.
The pitcher throws in the positive x direction. (The Force will act in the -
direction).

Answers

i would say 648858. bc yes

An object is continuously changing its velocity by the same rate. What is true about this object?
А The object has decreasing acceleration
B
The object has increasing acceleration.
С
The object has zero acceleration.
D
The object has constant acceleration.

Answers

Answer:

DThe object has constant acceleration.

Explanation:

I hope it helps

A standard 1 kilogram weight is a cylinder 40.0 mm in height and 53.5 mm in diameter. What is the density of the material?

Answers

Answer:

1.15*10^-5 kg/m^3

Explanation:

Given data

mass= 1kg

hieght= 40 mm

diameter= 52.5mm

radius= 53.5/2= 26.25mm

The volume of the cylinder

V=πr^2h

V=3.142*26.25^2*40

V=3.142*689.0625*40

V=86601.375 mm^3

Density= mass/volume

Density= 1/86601.375

Density=0.00001154716

Density= 1.15*10^-5 kg/m^3

Hence the density is  1.15*10^-5 kg/m^3

Mr. Rudman drives his race car for 4 hrs at 150
miles/hr. How far will he travel?

Answers

150*4=600
So the answer is 600

How long does it take for a car to change its velocity from 10 m/s to 25 m/s if the acceleration is 5 m/s^2?

Answers

Answer:five times five is twenty five divded by 10 is 2.5 seconds of acceleration

A cube icebox of side 3cm has a thickness of 5.0cm. If 4.0 kg of ice is put in the box estimate the amount of ice remaining after 6hrs. The outside T° is 45°c and coefficient of thermal conductivity of thermacole is 0.01J /s/m/k. The heat of fusion of water is 3.35× 10^5 J/k/hr/kg​

Answers

Answer:

The amount of solid ice remaining after 6 hours is approximately 3.68664 kg

Explanation:

The given parameters are;

The side length of the cube box, s = 3(0) cm = 0.3 m

The thickness of the cube box, d = 5.0 cm = 0.05 m  

The mass of ice in the box, m = 4.0 kg

The outside temperature of the cube box, T₁ = 45°C

The temperature of the melting ice inside the box, T₂ = 0°C

The latent heat of fusion of ice, [tex]L_f[/tex] = 3.35 × 10⁵ J/K/hr/kg

The surface area of the box, A = 6·s² 6 × (0.3 m)² = 0.54 m²

The coefficient of thermal conductivity, K = 0.01 J/s·m⁻¹·K⁻¹

For thermal equilibrium, we have;

The heat supplied by the surrounding = The heat gained by the ice

The  heat supplied by the surrounding, Q = K·A·ΔT·t/d

Where;

ΔT = T₁ - T₂ =  45° C - 0° C = 45° C

ΔT = 45° C

Q = K·A·ΔT·t/d = 0.01 × 0.54 × 45 × 6× 60×60/0.05 = 104976

∴ The  heat supplied by the surrounding, Q = 104976 J

The heat gained by the ice = [tex]L_f[/tex] × [tex]m_{melted \ ice}[/tex] =3.35 × 10⁵ J/kg × [tex]m_{melted \ ice}[/tex]

Therefore, from Q =  [tex]L_f[/tex] × [tex]m_{melted \ ice}[/tex], we have;

Q = 104976 J =  [tex]L_f[/tex] × [tex]m_{melted \ ice}[/tex] = 3.35 × 10⁵ J/kg × [tex]m_{melted \ ice}[/tex]

104976 J = 3.35 × 10⁵ J/kg × [tex]m_{melted \ ice}[/tex]

[tex]m_{melted \ ice}[/tex] = 104976 J/(3.35 × 10⁵ J/kg) ≈ 0.31336 kg

The mass of melted ice, [tex]m_{melted \ ice}[/tex] ≈ 0.31336 kg

∴ The amount of solid ice remaining after 6 hours, [tex]m_{ice}[/tex] = m - [tex]m_{melted \ ice}[/tex]

Which gives;

[tex]m_{ice}[/tex] = m - [tex]m_{melted \ ice}[/tex] = 4.0 kg - 0.31336 kg ≈ 3.68664 kg

The amount of solid ice remaining after 6 hours, [tex]m_{ice}[/tex] ≈ 3.68664 kg.

what is a physical benefit of stretching

Answers

It leads to greater range of motion, improved balance, and increased flexibility.

A 4500 kg Honda Civic, a 0.5 kg Matchbox car, and a 45 kg Power Wheel
are each pushed with a 30 N force. Which car will have the GREATEST
acceleration?

Answers

F= ma so rearrange the equation to a= F/m (net force/ mass) and using that equation with all three different cars, the matchbox car has the greatest acceleration of 60 m/s^2


10 m/s^2 is an example of which vocabulary word?

Answers

Answer:

Acceleration.

Explanation:

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

[tex]a = \frac{v - u}{t}[/tex]

Where,

a is acceleration measured in [tex]ms^{-2}[/tex]

v and u is final and initial velocity respectively, measured in [tex]ms^{-1}[/tex]

t is time measured in seconds.

The S.I unit for measuring acceleration is meters per seconds square (m/s²).

Hence, 10 m/s^2 is an example of acceleration.

How does momentum play in tackling?

Answers

Answer:

When two players are running full speed at each other on a football field they build up their momentum

How much pressure is being exerted by blood cells that are applying 375N of force over 25.5m2 of your body’s blood vessels?

PLS HELP MEEE

Answers

Answer:

Pressure = 14.71N/m²

Explanation:

Given the following data;

Force = 375N

Area = 25.5m²

To find the pressure;

Pressure = force/area

Pressure = 375/25.5

Pressure = 14.71N/m²

Therefore, the amount of pressure that is being exerted by blood cells is 14.71 Newton per meter square.

- An object in equilibrium has three forces exerted on it. A 33-N force act at 90° from the x-axis and a 44-N force act at 60°. What are the magnitude and direction of the third force

Answers

Answer:

The magnitude of third force is 74.4 N and direction of third force  is 72.8 degrees South.

Explanation:

Let F1, F2 and F3 are three forces exerted on an object.

[tex]\theta_1=90^{\circ}[/tex]

[tex]\theta_2=60^{\circ}[/tex]

[tex]|F_1|=33 N[/tex]

[tex]|F_2|=44 N[/tex]

We have to find the direction and magnitude of third force i.e F3.

[tex]F_{1x}=33cos(90^{\circ})=0 N[/tex]

[tex]F_{1y}=33sin(90^{\circ})=33 N[/tex]

[tex]F_{2x}=44cos(60^{\circ})=22 N[/tex]

[tex]F_{2y}=44 sin(60^{\circ})=22\sqrt{3}=38.11 N[/tex]

Now,

x-component of  resultant

[tex]R_x=F_{1x}+F_{2x}=0+22=22 N[/tex]

y-component of resultant

[tex]R_y=F_{1y}+F_{2y}=33+38.11=71.11 N[/tex]

[tex]|R|=\sqrt{R^2_x+R^2_y}[/tex]

[tex]|R|=\sqrt{(22)^2+(71.11)^2}=74.4 N[/tex]

[tex]\theta=tan^{-1}(\frac{R_y}{R_x})[/tex]

[tex]\theta=tan^{-1}(\frac{71.11}{22})=72.8^{\circ}[/tex] South

Hence, the magnitude of third force is 74.4 N and direction of third force  is 72.8 degrees South.

The magnitude and direction of the third force is;

F3 = 74.44 N

θ3 = 72.81° in the south direction

We are given;

F1 = 33 N

F2 = 44 N

θ1 = 90°

θ2 = 60°

Let the third force be F3 which will serve as the resultant

Let's first find the x and y component of the forces.

F1x = F1 cos θ1

F1x = 33 × cos 90

F1x = 0 N

F1y = F1 sin θ1

F1y = 33 × sin 90

F1y = 33 N

F2x = F2 cos θ2

F2x = 44 × cos 60

F2x = 22 N

F2y = F2 sin θ2

F2y = 44 × sin 60

F2y = 38.11 N

Thus, the resultant of the x component is;

F3x = F1x + F2x

F3x = 0 + 22

F3x = 22 N

The resultant of the y component is;

F3y = F1y + F2y

F3y = 33 + 38.11

F3y = 71.11 N

Thus, magnitude of resultant of the F3 force is;

F3 = √((F3x)² + (F3y)²)

F3 = √(22² + 71.11²)

F3 = 74.44 N

The direction of the resultant of F3 is;

θ3 = tan^(-1) F3y/F3x

θ3 = tan^(-1) 71.11/22

θ3 = 72.81° in the south direction

Read more about resultant of forces at;

https://brainly.com/question/25155203

Twice a year the Sun’s rays strike Earth north or south of the....

Answers

Answer:

Tropic of Cancer in the north and the Tropic of Capricorn in the south.

Explanation:

Margy is trying to improve her cardio endurance by performing an exercise in which she alternates walking and running 100.0 m each. If Margy is walking at 1.4 m/s and accelerates at 0.20 m/s2 during one of the running portions, what is her final velocity at the end of the 100.0 m? Round your answer to the nearest tenth. m/s

Answers

Answer:

6.5 m/s

Explanation:

We are given that

Distance, s=100 m

Initial speed, u=1.4 m/s

Acceleration, [tex]a=0.20 m/s^2[/tex]

We have to find the final velocity at the end of the 100.0 m.

We know that

[tex]v^2-u^2=2as[/tex]

Using the formula

[tex]v^2-(1.4)^2=2\times 0.20\times 100[/tex]

[tex]v^2-1.96=40[/tex]

[tex]v^2=40+1.96[/tex]

[tex]v^2=41.96[/tex]

[tex]v=\sqrt{41.96}[/tex]

[tex]v=6.5 m/s[/tex]

Hence, her final velocity at the end of the 100.0 m=6.5 m/s

Answer:

6.5

Explanation:

A boy finds an abandoned mine shaft in the woods, and wants to know how deep the hole is. He drops in a stone, and counts 3 seconds before he hears the "plunk" of the stone hitting the bottom of the shaft. Approximately how deep is the shaft? (Assume a gravitational acceleration of 9.8 m/s2 and no significant air resistance.)

Answers

Answer: 9.81 times 3s= 29.43m/s

so 29.43 m/s times 3= 88.29m

Explanation:

What is the ƒ if v = 50 m/s and λ = 10 m?

Answers

Answer:

5Hz

Explanation:

I hope that by stating f you mean frequency

so I think people in this app just like to give answers without explaining so let me try to explain to you why

first of all, you must know the formula

which is velocity = frequency x wavelength

just insert the values in

50 = 10 x frequency

50/10 = frequency

5 = frequency

A ball with a mass of 0.8 kg is thrown straight upward, flies up to its maximum height, and
then falls back down. If the ball reaches a maximum height of 10.7 meters, how fast was the
ball thrown initially? Round your answer to the tenths place.

Answers

Answer:

v = 14.5 m/s

Explanation:

The Principle Of Conservation Of Mechanical Energy

In the absence of friction, the total mechanical energy is conserved. That means that

Em=U+K is constant, being U the potential energy and K the kinetic energy

U=mgh

[tex]\displaystyle K=\frac{mv^2}{2}[/tex]

The ball with a mass of m=0.8 kg is thrown straight upward from the zero height reference (h=0) and with some speed (v). The potential energy is zero, but the kinetic speed is given by the equation above.

When the ball reaches its maximum height of h=10.7 m, the speed is zero and all the initial kinetic energy was transformed into potential energy, thus:

[tex]\displaystyle \frac{mv^2}{2}=mgh[/tex]

Simplifying by m:

[tex]\displaystyle \frac{v^2}{2}=gh[/tex]

Solving for v:

[tex]\displaystyle v=\sqrt{2gh}[/tex]

Substituting:

[tex]\displaystyle v=\sqrt{2*9.8*10.7}[/tex]

Calculating:

v = 14.5 m/s

help plz any one
1. In each of the following questions find the density. State the units of your answer.
Mass 45g, volume 5cm3

Answers

Answer:

Explanation:

Density=mass÷volume

=45÷3

=15

heyy i don't understand this question may u help me pls?​

Answers

Answer:

What question?

Explanation:

What’s the question

A particle moving along the x-axis has its velocity described by the function vx =2t2m/s, where t is in s. Its initial position is x0 = 1.3 m at t0 = 0 s

Answers

Answer:

Follows are the solution to this question:

Explanation:

In point a:

Place of particles

[tex]X(t)=\int V_{x}(t)dt[/tex]

       [tex]=\int 2t^{2}dt\\\\=\frac{2}{3}t^{3}+C[/tex]

[tex]\to t=0\\\\ \to X(0)=2.3 \ m[/tex]

[tex]\to X(0)=0+C\\\\ \to C=2.3\ m[/tex]

[tex]\to X(t)=( \frac{2}{3})t^3 + 2.3\\\\ \to t=2.2\\\\\to X=( \frac{2}{3})\times 2.2^3 +2.3 \\\\[/tex]

        [tex]= \frac{2}{3}\times 10.648 +2.3\\\\= \frac{21.296}{3}+2.3\\\\ = 7.09+2.3\\\\ =9.39\\\\ =9.4\ m[/tex]

In point b:

when [tex]t=2.2 \ s[/tex]

the Particle velocity  [tex](V)=2 \times 2.22 =9.68\ \frac{m}{s}[/tex]

In point c:

Calculating the Particle acceleration:

[tex]\to a=\frac{dV}{dt} =4\ t\\\\\to t=2.2 \ s\\\\\to a=4\times 2.2 =8.8 \ \frac{m}{s^2}[/tex]

Given that the mass of Earth is 5.98x1024 kg, what is the orbital radius of a satellite that has an orbital period of
exactly one day (assume that a day is exactly 24 hours in length)?

Answers

Answer:

The orbital radius is approximately 42,259 kilometers.

Explanation:

From Newton's Law of Gravitation we find that acceleration experimented by the satellite ([tex]a[/tex]), measured in meters per square second, is defined by:

[tex]a = \frac{G\cdot M}{r^{2}}[/tex] (1)

Where:

[tex]G[/tex] - Gravitational constant, measured in cubic meters per kilogram-square second.

[tex]M[/tex] - Mass of Earth, measured in kilograms.

[tex]r[/tex] - Orbital radius, measured in meters.

By supposing the satellite rotates at constant speed and in a circular path, we find that acceleration is entirely centripetal and can be defined in terms of period, that is:

[tex]\frac{4\pi^{2}\cdot r}{T^{2}} = \frac{G\cdot M}{r^{2}}[/tex]

[tex]4\pi^{2}\cdot r^{3} = G\cdot M\cdot T^{2}[/tex]

[tex]r^{3} = \frac{G\cdot M\cdot T^{2}}{4\pi^{2}}[/tex]

[tex]r = \sqrt[3]{\frac{G\cdot M\cdot T^{2}}{4\pi^{2}} }[/tex]

Where [tex]T[/tex] is period, measured in seconds.

If we know that [tex]G = 6.674\times 10^{-11}\,\frac{m^{3}}{kg\cdot s^{2}}[/tex], [tex]M = 5.98\times 10^{24}\,kg[/tex] and [tex]T = 86400\,s[/tex], then orbital radius of the satellite is:

[tex]r = \sqrt[3]{\frac{\left(6.674\cdot 10^{-11}\,\frac{m^{2}}{kg\cdot s^{2}} \right)\cdot (5.98\times 10^{24}\,kg)\cdot (86400\,s)^{2}}{4\pi^{2}} }[/tex]

[tex]r \approx 42.259\times 10^{6}\,m[/tex]

[tex]r \approx 42.259\times 10^{3}\,km[/tex]

The orbital radius is approximately 42,259 kilometers.

The place below earth's surface where the earthquake begins.
а
focus
fault
en oo
epicenter
P-wave

Answers

Answer:

The position where an earthquake begins below the earths surface is called the hypo center. The point directly above the hypo center is called the epicenter.

Explanation:

www.usga.gov | United States of America Department of Geological Surveys.

Describing the Changes in the Ator Based on the article "Will the real atomic model please stand up?,"describe one major change that occurred in the development of the modern atomic model.​

Answers

Answer: the last period. i think has the largest energy level

Explanation:

Answer:

honestly?

Explanation:

the atoms changed

does it take more force to slow something down than to speed it up.

Answers

To bring something to a stop the same force that was applied to speed it up can be used to stop it. If a greater force is used it will stop quicker.

If an object must be slowed quickly, the force applied to it must be greater than that required for gradual slowing. For example, the greater the force applied to a bicycle's brakes, the faster it will slow or stop.

What is force?

A force is an influence in physics that can change the motion of an object. A force can cause a mass object to change its velocity, or accelerate.

Intuitively, force can be described as a push or a pull. A force is a vector quantity because it has both magnitude and direction.

Force is defined as the tendency of a body to modify or change its state as a result of an external cause. When applied force, the body can also change shape, size, and direction.

The same force that was used to accelerate something can be used to slow it down. It will stop faster if more force is applied.

Thus, it can be concluded that it take more force to slow something down than to speed it up.

For more details regarding force, visit:

https://brainly.com/question/13191643

#SPJ2

PLZ Help!! Answer the Question Below:

Answers

Answer:

18.78 m/s.

Explanation:

From the question given above, the following data were obtained:

Mass (m) = 50 kg

Initial velocity (u) = 0 m/s

Height (h) of cliff = 18 m

Acceleration due to gravity (g) = 9.8 m/s²

Final velocity (v) =?

The velocity with which the diver reach the water can be obtained as follow:

v² = u² + 2gh

v² = 0² + (2 × 9.8 × 18

v² = 0 + 352.8

v² = 352.8

Take the square root of both side

v = √352.8

v = 18.78 m/s

Thus, the diver will reach the water with a velocity of 18.78 m/s.

Which statement best describes how scientists and engineers work together
in the research and development cycle?
O A. Engineers make a new discovery about nature, and then scientists
do experiments to verify it.
O B. Scientists develop new technology, and then engineers use it to
solve design problems.
C. Scientists make a discovery, and then engineers use it to help
them solve problems with their designs.
D. Engineers develop a new technology, and then scientists use it to
solve design problems.

Answers

Answer:

C

Explanation:

At a swim meet, swimmer A swims 50 m in 12 s, swimmer B in 13 s, swimmer C in 11 s, and
swimmer D in 14 s. The race involved swimming back and forth one time. Which swimmer had
the greatest displacement?

Answers

Answer:

Swimmer B had the greatest displacement:)

Explanation:

Hope you do great! :)

brainliest would be nice:)


When applying a force to a book on a desk, the force must be greater than the force of
the book to begin moving.

Answers

What’s ur fave way of thinkinwas my day I wanna I was like this one

The energy of a given wave in the electromagnetic spectrum is 2.64 × 10-21 joules, and the value of Planck's constant is 6.6 × 10-34 joule·seconds. What is the value of the frequency of the wave?

Answers

Answer:

the answer is b

wjejehebe ehshw es

the answer to your que room is b

A 25 kg object is at rest. Calculate the momentum of the object. ​

Answers

Answer:

there is no momentum

Explanation:

if an object is at rest there is no momentum to build, no speed, no acceleration it does not move unless force is acted upon it.

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