which mass is the lightest between 5m/s,0m/s and 3m/s?

( a ) T = ( [tex]u_{y}[/tex] + √ [tex]u_{y}[/tex]² + 2 g H ) / g

T = Total time taken

g = Acceleration due to gravity

H = Height above the ground

u = 5 m / s

H = 1.9 m

g = 9.8 m / s²

[tex]u_{y}[/tex] = Y-component of initial velocity

θ = 90° ( Since she bounces straight up )

sin θ = [tex]u_{y}[/tex] / u

[tex]u_{y}[/tex] = 5 * sin 90°

[tex]u_{y}[/tex] = 5 m / s

T = ( 5 + √ 5² + ( 2 * 9.8 * 1.9 ) ) / 9.8

T = ( 5 + √ 62.24 ) / 9.8

T = 12.89 / 9.8

T = 1.32 s

( b ) v² = u² + 2 a s

v = Final velocity

u = Initial velocity

s = Displacement

Consider the y-components until the swimmer reaches the highest point of her motion,

[tex]v_{y}[/tex] = 0

a = - 9.8 m / s²

[tex]u_{y}[/tex] = 5 m / s

0 = 5² + ( 2 * - 9.8 * s )

19.6 s = 25

s = 1.28 m

Maximum height reached = 1.9 + 1.28

Maximum height reached = 3.18 m

( c ) V = √ [tex]V_{x}[/tex]² + [tex]V_{y}[/tex]²

V = Final velocity

[tex]V_{x}[/tex] = X-component of final velocity

[tex]V_{y}[/tex] = Y-component of final velocity

[tex]V_{x}[/tex] = [tex]U_{x}[/tex] ( Since there is no external force acting on x-direction )

cos θ = [tex]U_{x}[/tex] / u

[tex]U_{x}[/tex] = cos 90° * 5

[tex]U_{x}[/tex] = 0

[tex]V_{y}[/tex] = [tex]U_{y}[/tex] + a t

[tex]V_{y}[/tex] = 5 + ( - 9.8 * 1.32 )

[tex]V_{y}[/tex] = 5 - 12.94

[tex]V_{y}[/tex] = - 7.94 m / s

V = √ 0 + ( - 7.94 )²

V = √ 63.04

V = 7.94 m / s

Therefore,

To know more about Projectile launched from a height

https://brainly.com/question/14467028

#SPJ1

Answer: The question asks us to find the pressure exerted by the Eiffel Tower on the ground. To answer this question we use the formula

        pressure=Force/Area

and obtain the answer Pressure exerted by Eiffel Tower on the ground =[tex]196000 Pa[/tex]

Explanation: To find the pressure exerted by the Eiffel Tower on the ground we use the formula

[tex]pressure = \frac{force}{area}[/tex]

Given in the problem, the weight of the Eiffel Tower= 9000 tons= 9000000 kg. Ton or kilogram(kg) is a unit of mass and we have to convert it into force

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

acceleration due to gravity [tex]g[/tex] =9.8 m/[tex]s^{2}[/tex]

mass = 9000 tons = 9000[tex]*[/tex]1000 kg[tex]= 9000000 kg[/tex]               ∵[tex](1 ton = 1000 kg)[/tex]

∴ [tex]force =[/tex] [tex]9000000* 9.8[/tex] = 88200000 N                 [tex](1 N(newton) = 1 kg.m/s^{2})[/tex]

Given [tex]area = 450 m^{2}[/tex]

∴[tex]pressure =\frac{force}{area}= \frac{88200000}{450} =196000 N/m^{2} = 196000 pascal= 196000 Pa[/tex]

Thus the pressure exerted by the Eiffel Tower on the ground is 196000Pa

Find more problems on pressure:

brainly.com/question/17207834        

#SPJ4

The concept of an inverse squared relationship explains the behavior of intensity of light and distance of the light source. As the distance of the light source increases, the intensity of light decreases.

The law of inverse square law says that intensity equals the inverse of the square of the distance from the source.

Mathematically, the formula for the inverse square law is given as;

I ∝ 1/r²

where;

The intensity of light can be defined as the measure of the amount of power emitted by a given surface or reflected by the surface.

Thus, the inverse square law is all about the inverse relation between the  intensity of light or power output of a given surface to the distance of the light source.

Learn more about inverse square law here: https://brainly.com/question/9953034

#SPJ1

The acceleration of the car is now found to be 0.3 m/s². Option A

We have to recall that the acceleration is the rate at which the velocity is changed with respect to time. We know that we must take into account that the car is now moving on an inclined plane as we can see in the image attached to the question above for our scrutiny.

Now;

The force that pushes the car forward is the 8200 N force that have been stated in the question.

The component of the weight of the car that can be seen to be effective along the inclined plane is; 1800 Kg * 9.8 m/s^2 * sin 30

= 8820 N

Then we know that;

F - Wp = ma

F = constant force

Wp = effective component

m = mass

a = acceleration

Then;

a = F - Wp/m

a =  8200 N - 8820 N/1800 kg

a = 0.3 m/s²

Learn more about acceleration:https://brainly.com/question/12550364

#SPJ1

ANSWER

EXPLANATION

Parameters given:

Mass of the car, m = 1800 kg

Radius of arc, r = 21.4 m

(a) First, let us make a free body sketch of the problem:

where N = force exerted by the road on the car

W = weight of the car

v = velocity of the car

First, let us convert the given velocity to meters per second:

The centripetal force acting on the car as it moves in the semi-circular arc is given by:

The total forces acting on the car is:

This implies that:

That is the force that the road exerts on the car.

(b) At the maximum speed, the car will start to lose contact with the road at N = 0:

Substitute the values of g and r to solve for maximum speed, vm:

In km/h, that is:

That is the maximum speed that the car can have.

There are 14025 x10^6 grains of sand in the sand box when it is full when there was present on average 55 grains in the box initially.

To know more about mm^3 units visit:

https://brainly.com/question/28626968

#SPJ9

The cumulative distance travelled by the bird is 11.5 Km.

The speed of the jogger is 6.1 km/h.

Speed of the bird is 30.5 km/h.

The distance between the finish line and the jogger is 6.9 Km.

Now, as we know that the bird starts with the jogger and reaches the finish line early and then returns back to the jogger. Assuming no loss in velocity while change the velocity.

We can understand that the time period of travel of the jogger and the the bird is t.

As we know,

Let us say that the distance that the jogger coves in time t is x.

So the distance travelled by the bird is,

Distance travelled till finish line plus the distance between jogger and finish line.

Distance travelled by bird = 6.9+6.9-x

Now as we know,

Time = distance/speed.

For jogger,

t = x/6.1

For the bird,

t=6.9+6.9-x/30.5

We can write,

x/6.1 = 13.8-x/30.5

30.5x =13.8(6.1)-6.1x

x(30.5+6.1) = 84.18

x = 2.3 Km.

The total distance travelled by the bird is 13.8-x

The total distance travelled by bird = 11.5Km.

To know more about speed and distance, visit,

https://brainly.com/question/4931057

#SPJ9

A runner is jogging in a straight line at a steady v = 6.1 km/hr. When the runner is L = 6.9 km from the finish line, a bird begins flying straight from the runner to the finish line at v = 30.5 km/hr (5 times as fast as the runner). When the bird reaches the finish line, it turns around and flies directly back to the runner.

a. What cumulative distance does the bird travel? Even though the bird is a dodo, assume that it occupies only one point in space (a "zero" length bird), travels in a straight line, and that it can turn without loss of speed. Answer in units of km.

Answer:

Scalar quantities are physical quantities which have a magnitude and direction.

e.g. in 5 km, 5 is the magnitude(number) and km is the unit.

some scalar quantities are mass, length, distance, speed, power, energy, temperature etc.

Answer: Values with magnitude but without direction

Explanation:

Majorly there exists two types of quantities, Scalar and Vector.

Vectors: Quantities, with magnitude and direction.

Example: Force, Displacement

Scalars: Quantities, with magnitude but without direction.

Example: Weight, Length, Quantity

we do not need direction to define weight,

it is just 5 kilograms, and NOT 5 kilograms towards east.

In order to calculate the energy used per day by each appliance, let's multiply the power by the amount of time used in a day:

For the toaster oven, we have:

For the AC, we have:

For the bulb, we have:

So the total energy used in a day is:

Answer:

Pressure is defined as the force exerted on a surface divided by the area over which that force acts. Force is measured in units of Newtons (N), named after the famous scientist Isaac Newton. Area is typically measured in units of meters squared (m2).

The mathematical relationship between variables is suggested by a graph showing an L-shaped hyperbola that drops and flattens quickly is option A:  Inverse (simple).

When two variables change in an inverse relationship, they do so in the opposite directions: one increases while the other drops, and vice versa. Y declines as X rises in an inverse relationship. An inverse relationship always has a negative slope on a graph.

A function that can be altered into another function is said to be one that  can be seen as an inverse function or what we call the anti-function.

Therefore, Inverse operations are a class of mathematical operations where one operation cancels out the effects of another and it best shows  L-shaped hyperbola.

Learn more about inverse relationship from

https://brainly.com/question/28628342
#SPJ1

Answer:

B. Inverse-squared

Explanation:

I took the physics exam

A heat engine converts 100.0 cal from a supply of 400 cal into work. Hence, the mechanical work done will be 25%.

A heat engine normally expels heat that can't be used to perform work after using energy supplied in the form of heat to do so. The study of the interactions between heat and work is known as thermodynamics. The operation of a heat engine is restricted by the first and second laws of thermodynamics.

The first law applies the principle of energy conservation to the system, and the second law establishes upper and lower bounds on the machine's potential efficiency and specifies the direction of energy flow.

According to the question,

Mechanical work done = 100/400

= 0.25 or,

Work done = 25%.

Hence, the mechanical work done will be 25 %.

To get more information about Heat Engine :

https://brainly.com/question/28034387

#SPJ1

Since the same monochromatic light passes through the interface between two other unknown materials. The option that can be said about these two materials and the light traveling through them is  option B and C:

Regarding the question Snell's law tells us that light at an interface bends toward a more dense or higher index of refraction.

The second material has a lower index of refraction than the first material because the light is bending away from the normal since it is farther from the normal. As a result, for the second question, the second and third boxes are checked.

The refracted ray bends away from the normal to the interface when a light ray enters a material with a lower index of refraction and a higher wave speed, and it will look closer to the interface than the incident ray.

Learn more about monochromatic light from

https://brainly.com/question/1581262
#SPJ1

See full question below

The same monochromatic light passes through the interface between two other unknown materials. This time the transmitted wave is observed to be farther from the normal to the interface than the incident wave. What can be said about these two materials and the light traveling through them?

A)The second material through which the light propagates has a higher index of refraction.

B)The second material through which the light propagates has a lower index of refraction.

C)As the light passes into the second material, its speed increases.

D)As the light passes into the second material, its speed decreases.

Kinetic energy has the following formula:

K.E. = 1/2 m v2, where m is the object's mass and v is its square    velocity. The standard unit of kinetic energy measurement is the Joule (J), which is equal to 1 kg/m2/s2.

Data point:  A discrete unit of information is called a data point. Any single fact is a data point, broadly speaking. The singular form of data, or datum, is roughly equal to the term "data point."

To know more about Kinetic and Potential Energy  refer:

https://brainly.com/question/18963960

#SPJ13

The net force on the box after the applied force is 50N.

A force in physics is an effect that has the power to alter an object's motion. A mass-containing object's velocity can vary, or accelerate, as a result of a force. Intuitively, a push or a pull can also be used to describe forces. As a vector quantity, a force has both magnitude and direction. Newton is the unit of measurement.

Additional units include dyne, pound-force, poundal, kip, and kilopond.

Deriving values from other quantities: F = ma (previously P = mf)

Force is an external agent that has the power to alter a body's resting or moving condition. It has a size and a movement. The direction of the force is referred to as the force's direction, and the application of force is the place at which the force is applied.

Original force of box = 0 N

Force applied by 2 student

Adding them because they are pushing it from the same side

50 N + 50 N

= 100N

Subtracting 50 N because the 3rd student is pushing the box from the opposite side

100N - 50N

= 50 N

The net force on the box after the applied force is 50N.

To know more about force ,visit:

https://brainly.com/question/2855467

#SPJ9

The train cannot be stopped on time after the maximum possible braking force is applied.

The maximum acceleration achieved by the maximum braking force is calculated as follows;

F = ma

a = F/m

where;

a = (84,000) / (55,200)

a = 1.52 m/s²

The distance travelled by the train after the brake has been applied is calculated as follows;

v² = u² - 2as

where;

0 = u² - 2as

2as = u²

s = u²/2a

s = (26.8²) / (2 x 1.52)

s = 236.26 m

Thus, we can conclude that the train will not be stopped on time before reaching a distance of 184 m since it will travel a total distance of 236.26 m.

Learn more about braking force here: https://brainly.com/question/16964101

#SPJ1

The work done by the force if the object moves from x = 0.15 m to x = 0.60 m is 0.24 J

The work done by a force is defined as the product of force and distance traveled.

Work done between 0.15 m to 0.25 m = 0.6 * (0.25 - 0.15)

Work done between 0.15 m to 0.25 m = 0.6 * (0.10)

Work done between 0.15 m to 0.25 m = 0.06 J

Work done between 0.25 m to 0.50 m = 0.4 * (0.50 - 0.25)

Work done between 0.25 m to 0.50 m = 0.4 * (0.25)

Work done between 0.25 m to 0.50 m = 0.1 J

Work done between 0.50 m to 0.60 m = 0.8 * (0.60 - 0.50)

Work done between 0.50 m to 0.60 m = 0.8 * (0.10)

Work done between 0.50 m to 0.60 m = 0.08 J

Total work done = 0.06 + 0.08 + 0.1

Total work done = 0.24 J

Learn more about work done at: https://brainly.com/question/26369337

#SPJ1

Answer:

Velocity is a vector quantity, meaning it is dependent on both magnitude and direction of motion. It can be changed by

1. Changing its magnitude (i.e. speed)

2. Changing the direction of motion

3. Changing both magnitude and direction.

velocity can change the three ways are, It has the ability to change direction, speed up, or slow down.

To learn more about Velocity refer:

https://brainly.com/question/2574951

#SPJ9

Beginning with earth, the structure of the universe is Earth ← Planetary system ← Galaxy ← Universe.

An universe is made up of billons of galaxies. A galaxy is made up of thousands of planetary systems. A planet always orbit a star. In a planetary system there may be there is one planet orbiting the star or a  hundreds of planets orbiting the star.

From the point of Earth, Earth is planet orbiting a star called as Sun. Hence the name of our planetary system was called a solar system. The galaxy in which our solar system is present is called as Milky way galaxy.

Therefore, beginning with earth, the structure of the universe is Earth ← Planetary system ← Galaxy ← Universe.

To know more about structure of the universe

https://brainly.com/question/10411044

#SPJ1

The intensity increased by a factor of 4 if the distance from the source dropped by a factor of 2.

Light intensity and distance are inversely correlated; as the distance grows, light intensity decreases.

Sound intensity, also known as acoustic intensity, is the force carried by sound waves per unit area in a direction perpendicular to that region. The watt per square meter (W/m2) is the SI unit of intensity.

I = P/A, where I stands for intensity, P for power, and A for area, is the standard formula for intensity. 

To know more about Sound intensity visit:

https://brainly.com/question/15089336

#SPJ9

Answer:

0 Newtons
Balanced

Explanation:

So for this problem, the arrows are a force, so it would be helpful to think of them as such. Since the block is being pushed to the right from the left with 4 Newtons of force, and the block is being pushed to the left and from the right with 4 Newtons of force too, the forces cancel out. Since the block isn't moving, it is balanced.

Tip: Arrows pointing to the left count as a negative force, arrows to the right count as a positive force. The net force is the total amount of force. For example, if there is a force to the left of 3 newtons, that would be represented with -3N. If a force to the right of 2 newtons is being applied to a block, the force would be 2N. Let's say that a block is being pushed to the left with 3 newtons of force and pushed to the right with 2 newtons, the net force would be -3N + 2N, which is -1N of force. -1 isn't zero, so the forces aren't balanced

1. Net force is Zero.

2. The forces are Balanced.

To learn more about : force

Ref :  https://brainly.com/question/388851

#SPJ13

Answer:

Sv = 1/2 a t^2         equation describing vertical distance traveled

Sv = 1/2 F / m * t^2       need to find t

Sh = .029m     horizontal distance traveled

.029 m = Vh t     time to travel 29 mm

t = 29E-3 m / 1.1E7 m/s = 2.64E-9 s

Sv = 1/2 * 5.1E-16 / 9.11E-31 * (2.64E-9)^2 = 5.1 / 2 * 2.64^2 / 9.11 * 10^-3 m

Sv = .00195 m = 1.95 mm

By the speed of 117.6 m/s you falling after 12.0 seconds.

Free fall formula,

v = -gt

v = velocity of free fall

g = acceleration due to gravity, Given = 9.8 m/[tex]s^{2}[/tex]

t = time, Given = 12s

Put these values in formula, v = -gt

v = - 12 × 9.8

v = 117.6 m/s.

Hence, by the speed of 117.6 m/s you falling after 12.0 seconds.

Learn more about free fall here:- https://brainly.com/question/12167131

#SPJ1

Answer: Convection

Explanation: in its simplest form is the transfer of heat through circulating air and liquids, this works inside of a hot air balloon by heating the inside of the air with a burner located at the bottom of the balloon, this then makes the air inside of the balloon less dense or lighter than the cooler air on the outside, causing the balloon to float upwards.

When graphic scores first evolved, what were they often used in combination with (A) Traditional music notation .

A graphic score makes use of uses images, shapes and snap shots rather than notes. Composers use image scores because they allow them to explicit musical ideas that couldn't be described by way of traditional notation.

They advanced a new manner of visualizing song called image scores or picture notation. Photo rankings frequently appearance very specific to traditional musical rankings. In preference to strains and dots on a musical stave, photograph ratings can use all sorts of special pictures and logos to tell the performer what to play.

Graphic notation in its present day shape first appeared in the 1950s as an evolution of movement of Indeterminacy as pioneered by using John Cage.

Divide a large piece of paper into four sections and draw a motif in every. Ensure the motifs are as contrasted as possible. The score works with someone to factor on the sections. whilst they're touching a segment, a corresponding sound is played.

Learn more about John Cage here:- https://brainly.com/question/10568595

#SPJ1

The momentum of truck is 70,000kg.m/s

Newtonian mechanics, the linear momentum is the product of the mass and velocity of an object. It is a vector quantity, having a magnitude and a direction. If m is an object's mass and v is its velocity, then the object's momentum p is given as,

p = mv

We are given here,

Mass of the truck = m = 2000kg

Velocity of the truck = v = 35m/s

Therefore , to get the value of momentum p using the above equation ,

p = (2000kg) × (35m/s)

p = 70000 kg. m/s

Thus , the momentum of the truck can be given as 70,000kg.m/s

To know more about momentum

https://brainly.com/question/4062739

#SPJ1

Gravitational, elastic, and chemical energy are forms of potential energy.

Both kinetic and potsential energy increases with mass.

Ball on the edge of the cliff

A ball is thrown up into the air and rises until it begins to fall

Can be transformed into other form of energy.

An electric light with a wire filament that has been heated until it glows is known as an incandescent light bulb. Wire Y be connected like 4th figure. Then  bulb 1 to be lit but not bulbs 2 and 3.

Wire Y be connected like 4th figure. Then  bulb 1 to be lit but not bulbs 2 and 3.

To learn more about Electric bulb refer to:

https://brainly.com/question/14124370

#SPJ13