Which object weighs more on Earth (g=10 m/s2)?

Answer:

11.4 kg

Explanation:

kinetic energy = ½mv²

where v is speed and speed is 4.31 m/s,

½×m×(4.31)² = 106

(1)m×(4.31)² = 106×2

(2)m = (106×2) ÷ (4.31)² = 11.41251393 ≈ 11.4 kg

further details

(1)multiply 2 on both sides if the equation to remove the ½

(2)divide both sides by 4.31² to remove 4.31² from the mass

since all values used in calculation are in SI units (speed is in m/s and mass in formula is in kg), the final answer is already in kilograms.

When a skateboarder oscillates between horizontal positions of 1.5 m and 4.5 m, the skateboarder-Earth system's maximum energy is 3000J. if the skateboarder weighs 60 kilograms.

An essential measure of a permanent magnet's material's strength is its maximum energy product. It is commonly expressed in terms of either kJ/m and is frequently labelled (BH)max. Is called maximum energy.

When a skateboarder oscillates, The skateboard's mass (mg) bears down vertically. As indicated by the red arrows and labels, this can be divided into two halves in the radial and tangential directions (they are not additional forces to m g ). Is called oscillation.

At x = 4.5m, the skateboarder's height is 5m.

At 4.5 meter's, the skateboarder's speed is zero potential energy or total Energy of the skateboarder at 4.5m = mgh

= 60*10*5 = 3000J

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Answer:

When a skateboarder oscillates between horizontal positions of 1.5 m and 4.5 m, the skateboarder-Earth system's maximum energy is 3000J. if the skateboarder weighs 60 kilograms.

Explanation:

An essential measure of a permanent magnet's material's strength is its maximum energy product. It is commonly expressed in terms of either kJ/m and is frequently labelled (BH)max. Is called maximum energy.

When a skateboarder oscillates, The skateboard's mass (mg) bears down vertically. As indicated by the red arrows and labels, this can be divided into two halves in the radial and tangential directions (they are not additional forces to m g ). Is called oscillation.

At x = 4.5m, the skateboarder's height is 5m.

At 4.5 meter's, the skateboarder's speed is zero potential energy or total Energy of the skateboarder at 4.5m = mgh

The operation of a machine that, once begun, would keep pushing forever with no extra energy essential to maintaining it going. This is referred to as the perpetual motion machine.

What is periodic motion?

Motion that repeats at regular intervals is termed periodic motion in physics. A rocking rocker, a jumping ball, a humming tuning fork, a swing in motion, the Earth in its orbit of the Sun, and a water wave are a few instances of periodic motion.

It would be hard due to the number of factors at play. Gravity, positioning energy, height, weight, etc. You would need to construct something like the stated with sufficient weight to balance its momentum on every swing's peak with the pull of the earth's core to keep it moving for as long as possible.

I will make the variable out of something like copper. The way the variables are weighted on a basis is also significant. Take all this into consideration and try some things out! Maybe one day you'll be able to find the ideal ratio for each role for weight, gravitational momentum, and mechanical potential to make it last forever. As said, a variety of things are very important in this experiment.

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The length of time (in seconds) that the train blocks the crossing are 29.15 s.

Velocity is defined as the trade in position or displacement (∆x) divided by the time durations (∆t) wherein the displacement takes place. The common velocity can be effective or negative depending upon the sign of the displacement. The SI unit of average velocity is meters per second (m/s or ms-1).

Average velocity is calculated by means of dividing your displacement (a vector pointing out of your initial role in your final position) through the entire time; the average pace is calculated by way of dividing the overall distance you traveled by means of the total time.

Calculation:-

the average velocity =(82.4+16.4)/2

                             =49.4 km/h

the distance travelled =length of the train =400 m=0.4km

 time taken =distance /average speed

                =0.4/49.4

                 =0.00809 h

                  =29.15 s

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The work done by the applied force is 21.23 J.

The work done by the gravity is 29.4 J.

The magnitude of the normal force between the block and the wall is 9.8 N.

The work done on the block include the following;

where;

The applied force on the block is calculated as follows;

Fsinθ - μmgsin(90) = ma

at a constant velocity, the acceleration of the block = 0

Fsinθ - μmg = 0

Fsinθ = μmgsinθ

F =  μmg/sinθ

F = (0.4 x 1 x 9.8)/sin(29)

F = 8.09 N

The work done by the applied force is calculated as;

W = Fcosθ x d

W = (8.09 x cos29) x 3

W = 21.23 J

The work done by the gravity is calculated as follows;

W = Fn cosθ x d

where;

W = mg cosθ x d

W = 1 x 9.8 x cos(0) x 3

W = 29.4 J

The magnitude of the normal force between the block and the wall is calculated as follows;

Fn = mg cosθ

where;

Fn = 1 x 9.8 x cos(0)

Fn = 9.8 N

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The spring will be the longest when T = 0.045 seconds has passed, and the shortest when T = 0.135 seconds has passed. For a spring hung vertically with a spring stiffness constant of 290 N/m.

The main purpose of a mechanical spring, an elastic component, is to deflect under load. As the load is relieved, returning to its original shape and location. An elastic machine component that can flex when a load is applied is the stiffness constant. It returns to its previous place after the burdens are taken away. In order to restore elasticity, a spring is a mechanical device built of a material with a very high yield strength.

Amplitude, A = 0.25m

stiffness constant = 290N/M

mass, m = 0.24kg,

angular velocity = w =(k/m)^1/2= (290/0.240)^1/2

W = 34.7 Rad/sec

For a spring at maximum stretch = 34.7t = sin^-1(1)

34.7T = 3.14

T = 3.14/2*34.2

T = 0.045sec

For a spring at minimum stretch = sin(34.7t) = -1

34.7t = sin^-1(-1) = (3*90)/2

t =3 *pi/2*34.7 = 0.135 sec

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The system does the work of 874 KJ and releases heat 105 KJ, then the change in internal energy of the system is -189 KJ.

A temperature gradient causes energy to flow from one body to another, known as heat. Energy is transferred, or heat flows, when two bodies of different temperatures are placed together.

The hotter body goes to the cooler. Typically, but not always, this energy transfer causes the temperature of the region of lower temperature to rise and the temperature of the warmer object to fall.

The work done by the system, w = -84 KJ and,

Heat released, q = -105 KJ

ΔU = q + w

ΔU = -84 + (-105)

ΔU = -189 KJ

The negative sign shows the loss of heat.

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The weight of the block is W = F - 3Ma.

Solution:

Mass of the block = M

Weight of the block = W

The force with which the rope is pulled = F0

Acceleration of the block = 3a

From the free-body diagram

M (3a) = Fo - W

W = F - 3Ma

The weight of the block is given by

W = F - 3Ma

Apply force to the block using a spring balance. Measure the acceleration of the block and the applied force. Inertial mass can be measured using a spring with a known spring constant. This value indicates the force required to extend the spring a certain distance.

Measuring the inertial mass of an object involves applying a force to the object and recording the resulting change in motion. Objects always exert an equal force on each other hence the frictional force that blocks and surfaces exert on each other. The tension in the string of an Atwood machine is the same wherever the system is at equilibrium but it is different for each mass in the system Acceleration system.

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If the voltage is doubled, and the resistance is halved, the present day in a twine increase by using 4 instances. electric resistance is the obstruction in the go with the flow of current.

This means that whilst resistance will be less, the contemporary will be more. additionally, the components for the contemporary is, I = V / R, in which I = modern-day, V = Voltage, R = Resistance.

In Ohm's law, the quantity R is usually constant. So, while you double the contemporary strolling through an element, the voltage throughout that element also doubles, leaving you with the same resistance for the element.

Resistance is directly proportional to the period and inversely proportional to the cross-sectional location. So if the duration is halved and the move-sectional place doubled, the resistance becomes one-fourth of the unique cost.

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The anchors to reach the bottom of the lake are 250 seconds.

Solution:

v = d/t

t = d/v

t = 17.5 ft/0.07ft

t = 250 second

So, the time taken by the anchor to reach the bottom of the lake is 250 seconds. Hence, this is the required solution.

A saltwater pool sometimes called an underwater lake deep sea, or salt lake is a volume of salt water that collects in a depression on the ocean floor. A pool is a dense body of water with a salinity of three to eight times that of the surrounding sea. The lake's water comes from rain snow melted ice streams and seepage from groundwater. Most lakes contain fresh water.

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The far point in m of a person's eye is 1.42m.

This refers to the longest distance at which an object can be placed for its image to be reflected on the retina within the area the eye can accommodate. It can also be described as the farthest point from the eye at which images appear clear. It is measured in meters, m.

This refers to when the muscles controlling the lens are very much at ease and the lens has its lowest power and longest focal length. It is measured in diopters, D.

P = relaxed power of the eye

F =far point

The power of the eye is given as

P = 1/di + 1/do

P is power of the eye

di is the distance between eye lens and the image

d₀ is distance between eye lens and image

Given that,

P =50.7d

Note: the power unit "d" is called dioptre and it means per meter

If the person is seeing clearly, the distance between the eye lens and the image (di) must be equal to the distance between the eye lenses and the retina which is 2cm

Thus, di = 2cm = 0.02m

P = 1/di + 1/d₀

1/d₀ = P — 1/di

1/d₀ = 50.7 — 1/0.02

1/d₀ = 50.7—50

1/d₀ = 0.7m

taking reciprocal

d₀ = 1/0.7

d₀ =1.4386m

Then, d₀ = 1.4386m

d₀≈ 1.42m

The far point the person can see is 1.42m

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Answer:

When a charged cloud passes over an uncharged cloud during a thunderstorm, the uncharged cloud acquires the opposite charge by induction and the two clouds attract. When they combine, they generate a large amount of heat, light, and sound, also known as lightning.

Explanation:

The momentum of Bobby having a mass of 50 kg is 235 kgm/s.

Momentum can be defined as the product of mass and velocity of a body.

To calculate the momentum of the of Bobby, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the momentum of Bobby is 235 kgm/s.

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When the string breaks, a ball is twirled at a consistent pace on the end of it. If the string snaps, the ball flies off in a straight line in the direction it was travelling when the string snapped.

What is Projectile motion?

A projectile is any object thrown into space with gravity serving as the only acting force. Gravity is the principal force acting on a projectile. This is not to say that other forces do not act on it; rather, their impact is limited when compared to gravity. A trajectory is the path that a projectile takes. A baseball that has been batted or thrown is an example of a projectile.

When a particle is hurled obliquely near the earth's surface, it proceeds along a curved route with constant acceleration towards the earth's centre (we assume the particle stays close to the earth's surface). The path of such a particle is referred to as a projectile, and the motion is referred to as projectile motion.

If the string snaps, the ball flies off in the direction it was travelling at the time the string snapped.

Newton's First Law

Newton's first law asserts that unless driven to alter its condition by the operation of an external force, every object will stay at rest or in uniform motion in a straight line. Inertia is the tendency to resist changes in a condition of motion.

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A cylindrical rod has equal and opposite forces applied perpendicular to its circular ends. The forces are directed toward the rod, compressing the rod. What type of stress is this rod subject to?

the rod is subjected to tensile stress. In such cases, the volume of the rod remains constant, however there's an increment in the length.

Tensile stress makes material elongate along the axis of the applied load.

In this case, the rod elongates along its axis yet the volume remains constant.

The frictional force when the box has a constant velocity of 6 m/s is -30 N

We'll begin by obtaining the acceleration of the box. This can be obtained as follow:

Acceleration = velocity / time

Acceleration = 6 / 2

Acceleration = 3 m/s²

Next, we shall determine the net force on the box. This is shown below:

Net force = mass × acceleration

Net force = 14 × 3

Net force = 42 N

Finally, we shall determine the frictional force. Details below

Net force = Force applied - frictional force

42 = 12 - frictional force

Rearrange

Frictional force = 12 - 42

Frictional force = -30 N

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To help your organization achieve this goal, we have compiled a list of three highly effective ways to reduce measurement uncertainty.

Measurement uncertainty is important for risk assessment and decision-making. Organizations base their daily decisions on reports containing quantitative metrics. Inaccurate measurement results increase decision risk. Choosing the wrong supplier can lead to poor product quality.

Replacing graduated cylinders with pipettes or burettes with lower instrument uncertainty reduces errors. Titers should be adjusted to larger volumes to reduce the uncertainty of the burette reading. Attempts to explain how human beings utilize communicative strategies to reduce uncertainty regarding other human beings.

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There are two types of waves: longitudinal waves and transverse waves.

Shear waves are like water the surface rises and falls. Longitudinal waves are like sound waves, alternating between compression and rarefaction in a medium. Based on the direction of particle motion and direction of energy.

Sound waves can be recognized by the fact that waves vibrate objects. Sound wave vibrations must be converted into signals, amplified, and processed. Ears and microphones are common sound detectors. They are easily distinguishable in seismic records. Shallow earthquakes produce stronger surface waves. Deeper earthquakes reduce the intensity of surface waves. Surface waves arrive after body waves.

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The height of the cliff is 80 meters.

The rate of change of position of an item in any path. The speed is measured because of the ratio of distance to the time in which the distance was included.

Velocity can be the concept of the charge at which an item covers distance. a quick-shifting item has a high pace and covers a highly huge distance in a given quantity of time, whilst a sluggish-shifting object covers a fantastically small quantity of distance in an identical amount of time.

Motion is a change in the function of an object over the years. motion is defined in terms of displacement, distance, speed, acceleration, time, and speed. speed, being a scalar amount, is the fee at which an item covers distance with respect to time.

Calculation:-

Time = distance/ speed

         = 30/15

          = 2 seconds.

S = ut + 1/2 at²

   = 30 × 2 + 0.5 × 10 × 4

   = 60 + 20

    = 80 meters.

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Answer: Hubble's discovery in the 1920's of a relationship between a galaxy's distance from Earth and its speed; and the discovery in the 1960's of cosmic microwave background radiation.

Explanation:

a = 3.53 m/[tex]s^{2}[/tex] is the magnitude of the acceleration of a skydiver who is currently falling at one-fifth his eventual terminal speed.

a= g×(1-([tex]\frac{16}{25}[/tex])

a= 9.8×(1-[tex]\frac{16}{25}[/tex])

a= 3.53 m/[tex]s^{2}[/tex]

In mechanics, acceleration refers to the rate at which an object's velocity with respect to time varies. Acceleration is a vector quantity (in that they have magnitude and direction). The direction of an object's acceleration is determined by the direction of the net force acting on it.

According to Newton's Second Law, the amount of an object's acceleration is the combined result of two causes:  

The acceleration unit in the SI is the meter per second squared.

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The Oscillatory Motion, or simply Oscillation, is the periodic "to and fro" motion of a particle about a point (known as equilibrium or mean position) and restoring force=-Kx.

A force must be exerted on a particle in order for it to engage in oscillatory motion; this force must constantly work to return the particle to its equilibrium or mean position. The term "restoring force" refers to this force. A force must always have a direction that is the opposite of the particle's displacement from its mean position in order to be a restoring force.

Simple Harmonic Motion, or SHM, is a particular kind of oscillation where the restoring force is proportional to the particle's displacement from the mean position.

F∝-x.

F=-Kx.

Here,.

The force that restores is F.

The particle's deviation from the mean position is expressed by the value of x.

Force has a constant called K.

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The voltage across the battery's terminals is the same as the voltage across the resistor and capacitor.

The capacitor's voltage is higher than the battery's voltage. Since there is no current flowing through this circuit in the steady state, there is no voltage across the resistor. Compared to the voltage of the battery, the voltage across the capacitor is lower.

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The angular magnification of the telescope with 12.7 m and an eyepiece with focal length 3.84 cm is 330.729.

What is magnification of a telescope?

Magnification of the telescope is the amount that a telescope can enlarge its subject. It is equal to the focal length of the telescope divided by the focal length of the eyepiece. Some factors like true field, resolution and apparent field have to be considered.

Magnification of the telescope can be calculated as,

M = Fo / Fe

where Fo = focal length of objective lens, Fe = focal length of the eyepiece.  

M = 12.7 m / 3.84 cm = 12.7 / 3.84 x 10^-2 m = 330.729.

Therefore, the magnification of the telescope with 12.7 m and an eyepiece with focal length 3.84 cm is 330.729.

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The answer is projectile.

Handguns and rifles use a cartridge having a single projectile or bullet. Shotguns use a shot shell comprising either a single bullet or a big number of small projectiles (shot or pellets). Though, the basic components of cartridges and shot shells are alike.

Modern ammunition varies depending on the type of firearm. Rifles and handguns use a cartridge containing a single projectile (bullet). Shotguns use a shotshell containing either a single slug or a large number of small projectiles (shot or pellets). However, the basic components of cartridges and shotshells are similar.

Therefore, the answer to your question is projectile. The basic component of cartilages and shotshells is projectile.

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A medicine is prescribed for a baby that weighs 8.5 pounds. the dose is 5.0 mg per kilogram of body weight. 19.5 mg of medicine should be given to this baby

The unitary method is generally a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.

1 Pound = 0.45 kg

8.5 pounds = 3.9 kg

Since , the dose should be = 5 mg per kilogram

for 1 kg = 5 mg dose is required

for 3.9 kg = 5 * 3.9 = 19.5 mg dose is required

19.5 mg of medicine should be given to this baby

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The magnifying power of the telescope he can construct with these lenses is  6.

A lens is a transmissive optical device that focuses or disperses a mild beam via refraction. An easy lens includes a single piece of transparent material, whilst a compound lens includes numerous simple lenses, normally arranged alongside a commonplace axis.

Calculation:-

power = 1/f

f =  1/1.03 = 0.97

f = 1/  6.11 = 0.164

Magnifying = - f₀/fe

                   = 0.97 / 0.164

                  = 6

A lens is a transmissive optical device that focuses or disperses a mild beam by using refraction. A simple lens consists of a single piece of obvious cloth, while a compound lens includes several easy lenses, commonly arranged alongside a common axis.

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The balloon's capacity is fixed at 0.413793. Air pressure outside can be assumed to remain constant.

Volume is used to describe an object's capacity. If a cup can carry 100 ml of water in its brim, for example, it is said to have a 100 ml capacity. Volume can also be used to describe how much space a three-dimensional object occupies.

Market share comes in two flavors: value and volume. The business's overall shares of its total accumulated sector sales serve to define a value market share. On the other hand, a volume market share refers to the precise number of units the company markets in comparison to the total number of units sold in the market.

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