024 (part 1 of 3) 10.0 points
A 4.0 kg block is pushed 1.0 m at a constant
velocity up a vertical wall by a constant force
applied at an angle of 30.0
◦ with the horizontal, as shown in the figure.
The acceleration of gravity is 9.81 m/s
2
.
1 m
30◦
4 kg
F
Drawing not to scale.
If the coefficient of kinetic friction between
the block and the wall is 0.40, find
a) the work done by the force on the block.
Answer in units of J.

The velocity after the collision is 27.19 m/s

For a collision between Object 1 and Object 2 in an isolated system, the total momentum of the two objects before collision equals the total momentum of the two objects after collision. That is, the momentum lost from object 1 is equal to the momentum gained from object 2 (a constant or unchanging value). It can be stated by following equation:

Pₙ = mₙvₙ

mₙvₙ = m₁v₁ + m₂v₂

Where, Pₙ = final momentum

mₙ = total mass of the system

vₙ = final velocity of the system

For the given case,

Since,  mₙvₙ = m₁v₁ + m₂v₂

(m₁ + m₂)vₙ = m₁v₁ + m₂v₂

(925 + 145)vₙ = (925 × 29.5) + (145 × 12.5)

1070 vₙ = 27287.5 + 1812.5

1070 vₙ = 29100

vₙ = [tex]\frac{29100}{1070}[/tex]

vₙ = 27.19 m/s

To know more about law of conservation of momentum visit:

https://brainly.com/question/24989124

#SPJ4

If the speed of the car is increased by 65%, the stopping distance of the car will be increased by 272.25%.

Let us say, the car is moving with velocity U, the stopping time of the car is T and the stopping distance of the block is d,

Now, we should use the equation of motion,

U²-V² =2aD

Where,

U is initial velocity,

V is final velocity,

D is the stopping distance,

a is the acceleration.

We know, at the final velocity will be zero,

So,

U² = 2aD

U =√(2aD)

Now, if the speed is increased by 65%, let us say the stopping distance becomes D'.

So,

U+65%U = √(2aD')

165U/100 = √(2aD')

Now, putting U = √(2aD),

165√(2aD)/100 = √(2aD')

(1.65)²D = D'

D' = 2.7225D

Now,

∆D = D' - D/D × 100

∆D = 2.7225 × 100

∆D = 272.25%

So, the stopping distance increased by 272.25%.

To know more about stopping distance, visit,

https://brainly.com/question/26711747

#SPJ4

The ratio between centripetal force of satellite b and satellite a is 2vm²/ ve².

We need to know about centripetal force to solve this problem. When an object moves in a circular motion, the object is experiencing centripetal force. The magnitude of centripetal force is

Fc = m . v²/R

where Fc is the centripetal force, m is mass, v is velocity and R is the radius.

From the question, we know that

ma = m

mb = 2m

va = ve

vb = vm

ra = rb = r

Find the centripetal force ratio

Fcb / Fca = (mb . vb²/Rb) / (ma . va²/Ra)

Fcb / Fca = (2m . vm²/r) / (m . ve²/r)

Fcb / Fca = 2 . vm²/ ve²

Find more on centripetal force at: https://brainly.com/question/898360

#SPJ4

   The separation between an orbit's center and its course is known as its radius. This separation is constant in all directions for an orbit that is entirely circular.

        A particle travelling uniformly in a circle experiences a centripetal force, F, which is dependent on the mass (m), velocity (v), and radius (r) of the circle. the F formula using the dimensions method.

        Where a, b, and c are the respective powers of m, v, and r and k is the dimensionless constant of proportionality.

Electric field

According to the query, the speed of an electron is 7.50 106 m/s.

1 105 T magnetic field, B

mass of an electron. m = 9.11 × 10⁻³¹

Electron charge, q = 1.6 1019

The relationship between radius of curvature,

r =( 9.11 × 10)-31  × 7.50 × (10)6/ 11.6 × (10) -19 ×1× (10) -5

  = 4.266 m.

Therefore, the circular path's radius is 4.266 meters.

To Learn more About radius, Refer:

https://brainly.com/question/390660

#SPJ4

Given,

The position function is, x(t)=At+bt²

A=-4.9 m/s

B=6.9 m/s²

The velocity is described as the rate of change if the displacement with time.

That is, the velocity is the time derivative of the displacement.

Therefore on differentiating the given function with respect to the time, we get the expression for the velocity.

i.e.,

Therefore the expression for the velocity is A+2Bt

To know at what time the velocity will be zero,

On simplifying the above equation,

On substituting the known values in the above equation,

Therefore the velocity will be zero at 0.71 s

[tex]X=150m/s * 4.518s =677.63m[/tex] far short of the target  it will drop the package.

First we can find the total time in order to reach the ground using the following kinematic formula:

[tex]y_{f} =y_{i}+v_{iy}+ \frac{1}{2} gt^{2}[/tex]

And replacing we have:

[tex]-100 =0+0- \frac{1}{2} (9.8)t^{2}[/tex]

And solving for t we got:

[tex]t=\sqrt{ \frac{2* (-100)}{-9.8} }=4.518 s[/tex]

And now we can find the final distance on the x axis using the formula:

[tex]D = Vxt[/tex]

The velocity on x not changes and is the same plane speed [tex]Vx=150m/s[/tex] , if we replace we got:

[tex]X=150m/s * 4.518s =677.63m[/tex]

Learn more about kinematic formula: here:

https://brainly.com/question/16888003

#SPJ4

A heavy vehicle of mass 200 tones has a maximum speed of 20m/s up a hill inclined at 1.15 degree to horizontal when the engine is working at 800 kilowatts.  The resistance to motion of the truck will be 800 N

We can define power as the rate of doing work, it is the work done in unit time. The SI unit of power is Watt (W) which is joules per second (J/s).

since , Power = Force * velocity

Force = power / velocity

          = 800 * [tex]10^{3}[/tex]/ 20 = 4 * [tex]10^{4}[/tex] N

F net = 0

F - friction force - mg(sin (theta)) = 0

4 * [tex]10^{4}[/tex]  - fr - 2 * [tex]10^{5}[/tex] * 9.8 * sin(1.15) =0

fr = resistive force = 4 * [tex]10^{4}[/tex] - 2 * [tex]10^{5}[/tex] * 9.8 * sin(1.15)

fr = 800 N

To learn more about friction force here:

https://brainly.com/question/19180015

#SPJ1

The magnitude of electromotive force is 0.13 volt.

We need to know about the electromotive force of induction to solve this problem. The emf induction appears when there is any change in magnetic flux. The magnitude of emf can be determined by

ε = N dΦ / dt

where N is coil turns, ε is electromotive force, dΦ is change in magnetic flux and dt is time interval.

From the question above, the parameters given are

B1 = 3T

B2 = 6T

dt = 2 s

N = 17

A = 50 cm² = 5 x 10¯³ m²

Find the change in magnetic flux

dΦ = (Φ2 - Φ1)

dΦ = (B2 . A - B1 . A)

dΦ = A (B2 - B1)

dΦ = 5 x 10¯³(6 - 3)

dΦ = 15 x 10¯³ Tm²

By substituting the given parameters, we can calculate electromotive force

ε = N . dΦ / dt

ε = 17 . 15 x 10¯³ / 2

ε = 0.13 volt

Find more on electromotive force at: https://brainly.com/question/24168205

#SPJ4

The magnitude of the magnetic force each exerts on the other is 4.41 N.

The magnitude of the magnetic force depends on the current through the wire, the length of the wire, and the radius of separation. It can be written as

F = μ₀ . I1 . I2 . L / (2π . a)

where F is a magnetic force, μ₀ is vacuum permeability (4π x 10¯⁷ H/m), I1 and I2 is current through the wire, L is the length of the wire and a is the radius of the wire.

From the question above, the given parameters are

L = 300 m

a = 23 cm = 0.23 m

I1 = I2 = 130 A

By substituting the parameters, we can calculate the magnetic force

F = μ₀ . I1 . I2 . L / (2π . a)

F = 4π x 10¯⁷ . 130 . 130 . 300 / (2π . 0.23)

F = 4.41 N

Find more on the magnetic force at: https://brainly.com/question/13277365

#SPJ4

Answer:

8.6 km

Explanation:

Use Pythagorean theorem

D^2 = 5^2 + 7^2

        = 25 + 49

D = sqrt (74) = 8.6 km

The ratio of the heads of arkansas' reservoir to west virginia's reservoir is 1813 : 1120

Consider the West virginia reservoir,

To calculate the head of the virginia reservoir, we will use

φ = P / nρgh                      ...(1)

where φ is the flow rate, P is the power generated, n is efficiency, ρ is the density of water, g is the acceleration due to gravity and h is the head.

Given that flow rate is 7 m/s, power generated is 12 mw, 80% is the efficiency.

We know that density of water is 1000 [tex]kg/m^{3}[/tex] and  acceleration due to gravity is 9.8 [tex]m/s^{2}[/tex]

By using equation (1)

h = P / φnρg

h = [tex]\frac{12}{7 * \frac{80}{100} * 1000*9.8 }[/tex]

h = 13440

Similarly, the head of the arkansas reservoir will be

Given that flow rate is 3 m/s, power generated is 9 mw, 74% is the efficiency.

h = P / φnρg

h = [tex]\frac{9}{3 * \frac{74}{100} * 1000*9.8 }[/tex]

h = 21756

Now, the ratio of the heads of arkansas' reservoir to west virginia's reservoir is

= (heads of arkansas) / (head of the virginia)

= 21756 / 13440

= 1813 : 1120

Know more about Flow Rate: -https://brainly.com/question/23855727

#SPJ4

A truck is traveling at a constant velocity of 30 m/s. It  will take the time to travel 1000 meters is (t)=33.33 S.

The velocity means the ratio of distance and time. Mathematically it means the distance divided by time. It can be measured in m/s and cm/s.

To calculate the time we are using thee formula here is,

S=vt

Or, t=S/v

Here we are given,

S = The covered distance of the car = 1000 m

v= The velocity of the car. = 30 m/s.

We have to calculate the time taken by truck = t

Now we put the values in the above equation, we get

t=S/v

Or, t=1000/30

Or, t=33.33 S

From the calculation we can say that,  It will take the time to travel 1000 meters is (t)=33.33 S.

Learn more about velocity:

https://brainly.com/question/24739297

#SPJ10

The potential energy of the hiker at the first hut is mathematically given as

v = 548800J

Generally, the equation for potential energy is mathematically given as

v = mgh

where,

m = 80kg, g = 9.8, h = 700

therefore

v = 80 x 9.8 x 700

In conclusion, the potential energy of the hiker at the first hut

v = 548800J

Read more about potential energy

https://brainly.com/question/24284560

#SPJ1

The average fluid velocity (in m/s) is 3.636 m/s.

The volume of fluid moving past a spot in a given amount of time is measured as the flow rate. Circular and noncircular pipelines both experience fluid flow in daily life.

From the question we have given:

The diameter of the pipe (l) is  3.00 cm or 0.0300 m.

The magnetic field (B) is  0.550 T.

The hall voltage (E) is  60.0 mv or 60 x 10⁻³ v.

  [tex]v = \frac{E}{Bl}[/tex]

The average fluid velocity can be calculated using the equation E = Blv.

In this instance, the width really corresponds to the diameter:

[tex]v = \frac{60 \;*\; 10^{-3} \;V}{0.0165\; m} \\[/tex]

[tex]v = 3.636 \;m/s[/tex]

Thus, the average fluid velocity is 3.636 m/s.

Visit the link below to learn more about the average fluid velocity:

brainly.com/question/19130911

#SPJ4

9. The object's acceleration will decrease if the net force applied to the object is constant but the total mass increases. 10. The objects acceleration will increase if the net force was increase and the mass was kept constant

F = m a

F = Force

m = Mass

a = Acceleration

a ∝ F

a ∝ 1 / m

9 ) Since Force is constant and mass increases, the acceleration will decrease.

10 ) Similarly if the net force increases while the mass is kept constant, the acceleration will increase.

According to Newton's second law of motion, force is equal to the rate of change of momentum. For a constant mass force equals mass of the object times acceleration of the object.

Therefore,

9. The object's acceleration will decrease if the net force applied to the object is constant but the total mass increases.

10. The objects acceleration will increase if the net force was increase and the mass was kept constant

To know more about Newton's second law of motion

https://brainly.com/question/13447525

#SPJ1

Wake turbulence is near maximum behind a jet transport just after take off because of the high angle of attack and high gross weight.

Explanation:

Every aircraft generates wake turbulence while in flight. Wake turbulence is a function of an aircraft producing lift, resulting in the formation of two counter-rotating vortices trailing behind the aircraft.

Wake turbulence from the generating aircraft can affect encountering aircraft due to the strength, duration, and direction of the vortices. Wake turbulence can impose rolling moments exceeding the roll-control authority of encountering aircraft, causing possible injury to occupants and damage to aircraft. Pilots should always be aware of the possibility of a wake turbulence encounter when flying through the wake of another aircraft, and adjust the flight path accordingly.

Wake turbulence is near maximum behind a jet transport just after take off because of the high angle of attack and high gross weight.

To learn more:

https://brainly.com/question/4853035

There are two types of solar system was there:

One system that is energies with sunlight. In other words which convert the sun energy in other energy is called solar system. It made with silicon.

As we mentions earlier there are two types of solar system was their,

Active solar system: This system made with silicon bar which excites by absorb the sunlight and excites by it. It can change energy between any energies and help others to grow more. It helps to make machines to make hot water and electricity and many more. It is not cost friendly. The costs for such custom systems range from $3,000 to $10,000 depending on the size of the space.

Passive solar system: This system is very much cost sufficient solar energy generator. This energy displace the extra things like electricity, natural gas, or other  systems. It so cost friendly that by installing big windows and tress it can hold energy in day and release energy at night. This is called the radiator system as it radiates energy at night.

According to the discussion, this is the main difference between the an active solar heating system with a radiator system.

Learn more about solar system:

https://brainly.com/question/17711999

#SPJ10

Answer:

20 N

Explanation:

Vertical component will be   44 sin 63

HORIZONTAL component is  44 cos 63  N = 19.97 =~ 20 N

The ratio of the time it takes the satellite circling mars to make one revolution divided by the time it takes the satellite orbiting the earth to make one revolution is (Rm/Re)^3/2.(Me/Mm)^1/2

The orbital velocity of the satellite is given by,

V = √(GM/R)

Where,

V is orbital velocity,

G is gravitational constant,

M is the mass of planet,

R is the distance from the centre of the planet to the satellite.

According to given condition,

Ve = √(GMe/Re)

Ve it the orbital velocity of earth,

Me is mass of the earth,

Re is the radius of the earth.

Also,

Vm = √(GMm/Rm)

Vm it the orbital velocity of mars,

Mm is mass of the mars,

Rm is the radius of the mars.

We know, time period of revolution,

T = distance/velocity

Time period od revolution of satelite of earth,

Te = 2πRe/√(GMe/Re)

Time period of revolution of satelite of mars,

Tm = 2πRm/√(GMm/Rm)

Now, dividing the time time period of revolution of mars by time period of revolution of earth,

Te/Tm = [2πRe/√(GMe/Re)]/[2πRm/√(GMm/Rm)]

Te/Tm = (Rm/Re)^3/2.(Me/Mm)^1/2

So the final ratio of both the time periods is (Rm/Re)^3/2.(Me/Mm)^1/2.

To know more about time period of satellite, visit,

https://brainly.com/question/28103637

#SPJ4

Considering the definition of atomic mass, isotopes and atomic mass of an element, the average atomic mass of lanthanum is 151.186 amu.

The atomic mass is obtained by adding the number of protons and neutrons in a given nucleus of a chemical element.

The same chemical element can be formed by different atoms, that is, their atomic numbers are the same, but the number of neutrons is different, thus generating the isotopes of the element.

The atomic masses of chemical elements are usually calculated as the weighted average of the masses of the different isotopes of each element, taking into account the relative abundance of each of them.

In this case, you know:

The average mass of lanthanum can be calculated as:

average mass of lanthanum= 138.9 amu×0.9991 + 137.9 amu×0.09

average mass of lanthanum= 151.186 amu

Finally, the average atomic mass of the element in this case is 151.186 amu.

Learn more about average atomic mass:

brainly.com/question/4923781

brainly.com/question/1826476

brainly.com/question/15230683

brainly.com/question/7955048

#SPJ1

The mass of the block is 4 kg and the force applied on the block is 8 N. So, the acceleration of the block will be 2 m/s².

The rate at which an object's velocity varies with respect to time is referred to as acceleration in mechanics. accelerations' magnitude as a vector. Depending on which way the net force is pulling on an object, it will accelerate in that direction.

Acceleration has a magnitude and a direction, making it a vector quantity. Vessel quantities include velocity as well. The definition of acceleration is the change in the vector of velocity over a time interval divided by the time interval.

According to the question, the given values are :

Block mass, m = 4 kg

Force applied on the block, f = 8 N

[tex]Force = mass *acceleration[/tex]

a = 8/4

a = 2m/s².

Hence, the acceleration of the block will be 2m/s².

To get more information about Acceleration :

https://brainly.com/question/12550364

#SPJ1

1.82 kgm/s and 1.82 s^-1 is  momentum of the ball and of the impulse respectively applied to it by the bat.

 ball mass, m = 0.145 kg

   velocity of the pitched ball, v₁ = 43.5 m/s

   velocity of the batted ball, v₂ = 56.0 m/s

change in the momentum is

[tex]\Delta P=mv_1-mv_2[/tex]

ΔP=6.30-8.12

ΔP=-1.82 kgm/s

The ball's change in momentum is equal to the impulse it experiences.

[tex]J=\Delta P= 1.82/s[/tex]

A moving particle's change in dynamical state can be estimated using the physical quantity known as impulse. It is the change in momentum that a body experiences when it is briefly impacted by a force. It is a vector quantity, and the letter J is used to denote it.

To know more about  impulse visit : https://brainly.com/question/16980676

#SPJ4

Answer:

the soft drink will be elevated by the lower arm

Explanation:

(d) 50N/C

The magnitude of the electric field at point 'P' is 50N/C.

It is derived from the basic concepts of Electrostatics. Coulomb's Law is the basis of relations in Electrostatics. It resembles Newton's Law of Gravitation.

Using the relation between Electric force, charge, and Electric field:

                                          F = qE

                                     200 = (4)E

                                          E = 50N/C  

It is widely used in the calculation of Electric Force and Electric Field. The S.I. Unit of the Electric Force is Newton. The S.I. Unit of the Electric Field is N/C. The S.I. Unit of charge is Coulomb.

Learn more about Electric Field:

https://brainly.com/question/11509296

the center of mass of the two cars moving is with a speed of 61.41m/s

What is  center of mass  ?

A position established in relation to an object or set of objects is the center of mass. It represents the system's average location as weighted by each component's mass. The centre of mass for straightforward stiff objects with homogeneous density is found at the centroid.

The center of mass also functions as a location at which inertial forces, such as centrifugal force, and gravitational force are applied. There are a number of direct and indirect techniques for locating the center of mass.

Let mc be the mass of the Chrysler and νc be its velocity .

Let mf be the mass of the Ford and νf be its velocity . Then the velocity of the center of mass is

ν com = (mc v c + mf v f) /m c+ m f =  [tex](2050*75 + 1300*40)/(2050+1300)[/tex]

            = 61.41 km/h

We note that the two velocities are in the same direction, so the two terms in the numerator have the same sign.

the center of mass of the two cars moving is with a speed of 61.41m/s

To know about center of mass from the link

https://brainly.com/question/28021242

#SPJ4

Answer:

Explanation:

Momentum = m * v  = .12 * 150 = 18 kg m/s

Answer:

d: temperature

Explanation:

temperature doesn't have anything to do with sound