a tree house is 8 m above the ground. if tarzan does 360 j of work while pulling the box at constant speed from the ground up to his tree house with a rope, what is the mass of the box?

The acceleration of gravity is 9.81 m/s 2 . answer in units of n. The minimum force required was 93.20N.

What is force?

Force is a quantitative representation of an interaction that creates a change in the motion of an item. In reaction to a force, an item may accelerate, slow down, or change direction. In other words, force is any action that tends to maintain or alter the motion of a body or distort it.

Total mass=56Kg

tied radius=0.060m

turning radius=0.35m

g=9.81m/s2

T=0.35F

where F is the force that we want

W=mg

=68Kg

W(0.060)=T=0.35F

0.060/0.35=0.171

F=0.171W

0.171(56)=9.576Kg

=93.20N

So here by the force required is=93.20N

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Answer: The mechanical advantage of the crowbar  9

Answer:

9

Explanation:

50N-load

450N-effort

m.a=load÷effort

450÷50=9

A decrease in velocity is referred to as deceleration. If car is moving at 30 m/s and stop in 50 m .The value of deceleration is 11.56 ms−2.

While acceleration is motion in which an object's speed varies every second, deceleration is motion that causes an object to slow down.

We are aware that acceleration refers to an object's rate of increase in speed, and deceleration refers to an object's rate of decrease in speed. For instance, when we apply the brakes while driving, we benefit from the vehicle's ability to decelerate and slow down.

The Deceleration Formula is the final velocity minus the initial velocity, with a negative sign in the result because the velocity is decreasing, if starting velocity, final velocity, and time taken are given.

velocity of car = 30 m/s

car need to stop in 50m

Deceleration a = v^2 –  u^2 / 2s

                          = 0^2 - 50^2 / 2*30

                          = 11.56

Deceleration of the care = 11.56 ms−2

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The material that is attracted to the electron which is negatively charged and the material from which the electron was lost is considered as positively charged that makes the Mechanism of Static Electricity.

Static Buildup apparatus. The static build up is the phenomenon in which electric charges are traded between the surfaces of two objects that come into contact with each other. In this procedure, one object static takes on a positive charge and the other a negative charge. The material that interested the electron is negatively charged and the material from which the electron was lost is positively charged. This is the appliance for the Generation of Static Electricity. Static electricity is the result of a disparity between negative and positive charges in an object.

So we can conclude that Static electricity is an variance of electric charges within or on the surface of a material or between materials.

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The smaller pebble leaves the slingshot with a speed of 500 m/s.The mass of the larger pebble 25 times more mass compare to that of the smaller pebble.

In Both the cases work done by the elastic band is same i.e

WLarger  = WSmaller

(1/2)MLargerVLarger2 = (1/2)MSmallerVSmaller2

MLarger/MSmaller = (VSmaller/VLarger)2

MLarger/MSmaller =(500/100)2 =25

Teenagers, young adults, and others utilise various stimulant medications collectively referred to as "speed" to feel more focused and alert, and occasionally to get euphoric. Additionally, some people take various forms of speed to suppress their appetite. You lack brute force, intimidation, and might without speed. Simply for show and to assist friends who are moving large pieces of furniture, they are useless. The good news is that speed can be improved with the right physical preparation. The velocity of a body or object determines the direction of its motion. Speed is often measured as a scalar value. The most basic definition of a vector quantity is velocity. It gauges the rate at which a distance varies. It relates to the speed at which displacement is altering. Its velocity is the speed at which something is travelling in a particular direction.

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A multimeter is used for general electrical measurements. So, the correct option is (b)

A multimeter is an electronic measuring device that combines multiple measurement functions into one device. A typical multimeter include features such as the ability to measure voltage, current, and resistance.

Most multimeters have the ability to test circuit continuity. This makes it easier to find faults such as bad cables. It also helps to see if two points in the circuit are connected.

The typical multimeter can measure voltage, resistance, and current. In this case, the device is also called a Volt-Ohm Milliammeter (VOM), since it has the functions of a voltmeter, an ammeter, and an ohmmeter. Some of them even offer measurements of additional properties such as temperature and capacitance.

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Speed (m/s) required to launch the projectile is 5.94m/s.

Speed is defined as the product of distance and the amount of time it took to cover that distance.

Equations,

Vx = Vxo

x = Vx × t

Vy = Vyo + gt

Vyo = 0

Vy = gt

y = yo - Vyo - gt² / 2

yo - y = gt²/ 2

time to get to the ground,

0.85 = g t² / 2

t² = 0.85m × 2 / 9.81 m/s²

t² =0.1732 s²

t = 0.416s.

initial velocity,

Vxo = x / t = 1.8m/ 0.416s =4.32m/s

speed before it strikes the ground,

Vy = g*t = 9.81 m/s × 0.416 = 4.08m/s

V² = Vy² + Vx² = (4.32 m/s)² + (4.08 m/s)² = 35.3064m²/s²

V = [tex]\sqrt{35.3064}[/tex]= 5.94m/s.

Speed required to launch the projectile is 5.94m/s.

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It is typical for people in hypnotic trances to temporarily begin speaking languages they do not know .

Option a is correct

Although hypnosis is frequently described as a sleep-like condition, it is actually better described as a state of sharpened focus, increased suggestibility, and vivid fantasies. People who are hypnotized frequently appear tired and disoriented, yet they are actually hyperaware.

Our brain waves must slow down in order to enter a trance. Throughout the course of the day, people alternate between several brain wave states. Different stages of the brain wave include sleeping, daydreaming, and being fully alert and focused.

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The speed of each wave is identical. The only factor that affects how fast sound travels is the property of the medium.

An example of an energy type that propagates through a medium using adiabatic loading and unloading is acoustic waves. Acoustic pressure, particle velocity, particle displacement, and acoustic intensity are crucial parameters for defining acoustic waves. Because the air molecules oscillate back and forth as the sound travels, we refer to sound as a wave. The way the air behaves is similar to a compression or longitudinal wave on a spring.

A sound wave is a pressure wave, which can be conceptualized as variations in pressure over time. Transverse waves include sound waves. The tines of a tuning fork must transfer air from the fork to one's ear in order for one to hear the sound of the fork.

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(a) The ball will not pass over the wall

(b) The velocity is  21.45m/s

It is the amount of change in velocity per unit time. The velocity change can be calculated using the formula: velocity change = final velocity - initial velocity. This is the time when: The rate of change in velocity is expressed in

Given

A ball is thrown from a 10 m high cliff at the velocity 20 ms-¹ with an angle of 30° to the horizontal plane as shown in the picture below. 40 m from the edge of the cliff is a 10 m high wall.

We have to determine

a) Will the ball pass over the wall?

b) If not, where will it hit the wall and with what velocity?

From the given information

Initial velocity v =20m/s

Initial velocity along x direction vx = vcos300

= 20 cos300

= 20 x 0.866

= 17.32m/s

Initial velocity along y direction vy = v sin300

= 20 sin300

= 20 x 0.5

= 10m/s

Displacement along +ve x = 40m

Time required to travel t = x/vx

= 40/17.32

= 2.31seconds

At this time displacement of the ball along the y direction

Sy = vyt – 1/2gdt2

= 10x2.31 – ½ x 9.81 x (2.31)2

= 23.10 – 26.17

= - 3.07m

Since displacement is in a negative value, it will hit the wall and will not pass over the wall

The ball will hit at d distance from the ground

H = (10 – 3.07)

= 6.93m

Final velocity along +ve y = v’y = vy –gt

= 10 – 9.81 x 2.31

= 10 – 22.66

=-12.66m/s

velocity along +ve x = v’y = vx

= 17.32m/s

So-net velocity of the ball v’= √((v^' x)^2+(v^' y)^2 )

= √(〖(17.32)〗^2+〖(-12.66)〗^2 )

= 21.45m/s

Therefore

(a) The ball will not pass over the wall

(b) The velocity is  21.45m/s

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Answer:

higher is safer

Explanation:

because it is a wet slippery surface, you would need more friction on the tires, to get more traction in the slippery wet road, if you had low friction you would not move anywhere and or could swerve off somewhere

It states that: "At constant volume the pressure of a gas sample is directly proportional to the absolute temperature."

This means that doubling the pressure of the gas will cause its absolute temperature to double.

Mathematically this law is expressed as:

       [tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\dfrac{P_{1}}{T_{1}}=\frac{P_{2}}{T_2} \iff \ P_1T_2=P_2T1 } \end{gathered}$} }[/tex]

We have that the data is:

P₁ = 0.87 atm

T₁ = 25 °C + 273 = 298 K

T₂ = 50 °C + 273 = 323 K

P₂ = ?

We clear for the final pressure:

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P_{2}=\frac{P_1T_2}{T_{1}} } \end{gathered}$}}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P_{2}=\frac{(0.87 \ atm)\cdot(323\not{k})}{298\not{k}} } \end{gathered}$}}[/tex]

[tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P_{2}=0.94 \ atm } \end{gathered}$}}}[/tex]

Using the supposition that there is no friction and disregarding air resistance, the speed of the cart at the bottom of the hill is 24.6ms.

Small bumps collide with one another as surfaces move over one another. Friction acts as a resisting force on the surface's motion. Friction can be reduced by lubricants.

The friction caused by a moving item is inversely propotional and runs perpendicular to it. The type of surface the thing is in touch with determines the amount of friction it experiences. As long as there is a point of contact, friction remains independent of a area of contact.

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Answer:90g for 70km

Explanation:

The time taken for the orange to return is 0.96 s.

We know that if an object is thrown up or down that we have to look at the equations of kinematics under gravity so as to be able to obtain the velocity of the object or the time taken.

Now;

v = u - gt

v = final velocity

u = initial velocity

g = acceleration due to gravity

t = time taken.

Thus;

v = 0 m/s at the maximum height so;

u = gt

t = u/g

t = 4.73/9.8 m/s^2

t = 0.48 s

In order to go up and return;

2( 0.48 s) = 0.96 s

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The initial speed of car A is 15.18 m/s.

Momentum is defined as mass in motion. If there are two objects (the two objects in motion or only one object in motion and the other in stationary) that collide and no other forces work in the system, the law of momentum conservation applies in the system.

p=p'

pa+pb = pa'+pb'

(ma×va) + (mb×vb) = (ma×va') + (mb×vb')

(ma×va) + (mb×vb) = (ma×va') + (mb×vb')

(1,783×va) + (1,600×0) = (1,783×8) + (1,600×8)

(1,783×va) + 0 = 14,264+12,800

(1,783×va) = 27,064

[tex]va \:=\: \frac{27,064}{1.783}[/tex]

va = 15.18 m/s

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The constant force applied parallel to the plane required to cause a 15kg box to line up is 127.31 N.

Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.

Calculation:-

mass =15 kg

Normal force = mgCos30°

parallel force = mgsin30°

acceleration required = 1.2 m/s²

Contact force = 15 × 9.8 × √3/2

                      = 127.31 N

Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. Movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.

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A piece of wood from a nearby construction site floats near the shore of a lake. it floats in very calm water with half of its volume just above the surface. The density of this piece of wood will be 500 kg/[tex]m^{3}[/tex]

The floatation principle states that when an object floats in a liquid, the buoyant force acting on the object is equal to the object's weight.

since ,

buoyant force =  rho * g * V

                        = 1000 * g * (V/2)                   equation 1

objects weight = mg                                   equation 2

equating equation 1 and equation 2

500 * g * V  = mg                                  

mass = 500 V

density = mass / volume = 500 V / V

            = 500 kg/[tex]m^{3}[/tex]

The density of this piece of wood will be 500 kg/[tex]m^{3}[/tex]

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Answer:

17.5175J

Explanation:

By the work-kinetic energy theorem,

[tex]W=\frac{1}{2} m{v_{f} }^{2} -\frac{1}{2} m{v_{i} }^{2}[/tex]

where [tex]v_{i}[/tex] is initial velocity and [tex]v_{f}[/tex] is final velocity. Note that their directions make no impact on the problem.

We can simplify this to:

[tex]W=\frac{1}{2} m({v_{f} }^{2} -{v_{i} }^{2})[/tex]

Now sub in our values:

[tex]W=\frac{1}{2} (3.5)({4.5 }^{2} -{3.2 }^{2})[/tex]

W= (1.75)(20.25-10.24)=17.5175J

Answer:

gravitational force .. .. .

Explanation:

The  thing that affects the amount of potential energy stored in the magnetic field when a magnet is moved against a magnetic force is by the strength of the magnet as well as the distance that another magnet or magnetic object is said to be from it.

Potential energy between two magnets will depend on their orientation as well as their proximity to one another and their distance from one another. If the opposing poles are kept apart, the potential energy will increase with increasing distance and decrease with increasing proximity.

More energy is transferred to the magnetic field when an object is moved against a stronger magnetic force. Near magnets, magnetic forces are stronger.

Therefore, The power of the magnet and the separation from other magnets or magnetic objects have an impact on how much potential energy is held in the magnetic field.

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The number of bright interference fringes in the central diffraction envelope is 3.

To determine the number of bright interference, we need to understand the equation of first minima in the diffraction pattern, and the equation of angular locations of the double slit interference pattern.

For the equation of first minima in the diffraction pattern is:

[tex]W[/tex]·[tex]Sin[/tex]θ = [tex]m_{1}[/tex]·λ

For the equation of angular locations of the double slit interference pattern is:

[tex]d[/tex]·[tex]Sin[/tex]θ = [tex]m_{2}[/tex]·λ..... (1)

Here, W is single slit width while d is slit separation

Next, we need to determine the number of bright interference fringes in the central diffraction envelope.

For the first minima, [tex]m_{1} = 1[/tex], then rewrite the equation (1) as follows.

=[tex]a[/tex]·[tex]Sin[/tex]θ = [tex]m_{1}[/tex]·λ

=[tex]a[/tex]·[tex]Sin[/tex]θ = [tex]1[/tex]·λ

=[tex]a[/tex]·[tex]Sin[/tex]θ = λ..... (2)

Then, from the equations (1) and (2)

[tex]=m_{2}=\frac{d}{w} \\=m_{2}=\frac{2w}{w}\\=m_{2}=2[/tex]

Therefore, there are 3 bright fingers, 1 at the centre and 2 in each side.

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The answer is 361 W/m2-C.

This approach is most commonly used when the building manager or engineer is trying to determine the heat transfer coefficient and outflow fluid temperature and already knows the heat exchanger size and inflow temperature. Subtract the end temperature from the start temperature to get the difference.

You can calculate the efficiency of anything by dividing the energy input and energy output by 100%. We usually use this equation to express energy as heat or electricity. For relatively low-pressure equipment, if the design pressure on the low side is more than two-thirds of the design pressure on the high side a full pipe rupture is not a realistic scenario.

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The speed of Mike and his bike before hitting the ramp is 4.48 m/s.

The acceleration of Michael and his bike is determined by applying Newton's second law of motion as follows.

According this law, the force applied to an object is directly proportional to the product of mass and acceleration of the object.

F = ma

a = F/m

where;

a = (456) / (136)

a = 3.35 m/s²

The speed of Mike and his bike before hitting the ramp is calculated as follows;

v² = u²  + 2as

where;

v² = 0 + 2(3.35)(3)

v² = 20.1

v = √20.1

v = 4.48 m/s

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The smallest separation in terms of nm between two slits that will produce a second-order maximum for 652 nm visible light is  1.30 um

Since the relationship between wavelength and angle for  minima and maxima  in Young's double slit experiment is:

For constructive interference

d sinθ = n

for  Destructive interference

d sinθ = (n+1/2)λ, where  λ is the wavelength, n  is the order of maxima and minima, Since here n = 2

So the separation, λ =  652 nm , and  θ = 90

so, d sin90 = 2*652*10⁻⁹

=> d=  2*652*10⁻⁹/ sin90  

     =  1.30 X10⁻⁶

    = 1.30 цm

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Gravity's role in the tectonic plate motion can be described on the basis of ridge push and slab pull of tectonic plates.

Ridge push refers to gravitational sliding. It is a driving force for plate motion in plate tectonics, occurring at mid-ocean ridges as the result of the rigid lithosphere sliding down the hot and raised asthenosphere below mid-ocean ridges.

Slab pull is a pulling force that is exerted by a cold and dense oceanic plate plunging into the mantle. The term for the process of a tectonic plate descending into the mantle is subduction. Subduction may emerge due to gravity.

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The magnitude of the magnetic force that acts on this wire is 0.2298 N.

The Magnetic Fields is an American band founded and led with the aid of Stephin Merritt. Merritt is the organization's number-one songwriter, producer, and vocalist, as well as a frequent multi-instrumentalist. A magnetic subject is the vicinity around a magnet, magnetic item or an electric powered price wherein magnetic pressure is exerted.” Huh? allow's put it this way.

The magnetic field is the location around a magnet wherein the effect of magnetism is felt. We use the magnetic field as a device to describe how the magnetic pressure is distributed within the space around and within something magnetic in nature.

Calculation:-

Magnetic field B = 0.13 i +0.13 j +0.17 k

length L = 25 k cm =0.25 km

current i = 5 A

the magnetic force acts on the wire F = i ( L X B )

F = 5 [ 0.25 k X ( 0.13 i + 0.13 j + 0.17 k ) ]

= 5 [ (0.25 *0.13) (kXi) + (0.25 *0.13) ( k X j ) + ( 0.25 *0.17 ) ( k X k ) ]

= 5 [ -0.0325 j - 0.0325 I + 0 ]

= -0.1625 I -0.1625 j

magnitude of F = sqrt [ (-0.1625)^2 + (-0.1625)^ 2 ]

= 0.2298 N

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The height of the cliff is 6.22 meters and the time taken by the rock to hit the ground if thrown with same speed is 0.81 seconds.

The time taken by the rock to hit the ground when it is thrown up from the the cliff with an initial velocity of 8.01 m/s.

(a) From the equation of motion,

H = ut+1/2at²

H is the height of the cliff,

u is the the initial velocity,

t is the time taken by the rock,

g is the acceleration due to gravity.

Putting values,

H = (8.01)(2.21) + 1/2(-9.8)(2.21)²

H = -6.22m.

The height of the cliff is 6.22 m.

(b) If the rock is thrown down with the same speed,

Then the time taken by it to reach the ground is,

t = u/g

Putting values,

t = 8.01/9.8

t = 0.81 seconds.

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The effect of - 0.1 miles tolerance on a 3595 miles radius of earth's surface area calculation is 0.00556 %

SA = 4 π r²

SA = Surface area of a sphere

r = Radius

Actual surface area,

r = 3595 mi

SA = 4 * 3.14 * 3595²

SA = 162325754 mi²

Surface area with tolerance,

r = 3595 - 0.1

r = 3594.9 mi

SA = 4 * 3.14 * 3594.9²

SA = 162316723.5 mi²

% error = ( Actual value - Error value ) / Actual value

% error = ( 162325754 - 162316723.5 ) / 162325754

% error = 9030.5 / 162325754

% error = 5.56 * [tex]10^{-5}[/tex]

% error = 0.00556 %

Therefore, the effect of - 0.1 miles tolerance on a 3595 miles radius of earth's surface area calculation is 0.00556 %

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To use the kinetic friction force formula.

What is kinetic coefficient friction?

The proportion of contacting surfaces' kinetic friction forces to normal forces is known as the coefficient of kinetic friction.

What is acceleration?

Any process that causes a change in velocity is referred to as an acceleration. Since velocity depends on both speed and direction, you can only accelerate by changing either one or both.

Fn = 12kg* 9.81 m/s^2 = 117.7 N

since there is no acceleration, friction must equal the horizontal force

30N = 117.7*μ

μ = .255

Therefore, the coefficient of kinetic friction between the crate and the floor is 255.

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