The stair stepper is a novel exercise machine that attempts to reproduce the work done against gravity by walking up stairs. With each step, Brad (of mass 60 kg) simulates stepping up a vertical distance of 0.2 m with this machine. If Brad exercises for 13 min per day with a stair stepper at a frequency of 50 steps per minute, what total work he does he do each day

Answer:

increace

Explanation:

they are both going up

The mass of the trailer would be 0.10 kg

The period of a mass spring system is said to be directly proportional to the square root of the mass and inversely proportional to the square root of the spring constant.

It is represented thus;

T = 2π × √ m ÷ k

But note that period (T) is the reciprocal of frequency (f)

So, T = 1 ÷ f

Then, T = 2π × √ m ÷ k = 1 ÷ f

Make the mass 'm' the subject of the formula

m = k ÷ 2π^2 × f^2

Where

m = mass

k = spring constant

f = frequency

π = 3. 14

Mass, m = 1. 0 × 10^ 0 ÷ 2× 3.14 × 3.14 × 0.71 × 0. 71

= 1.0 × 1 ÷ 9. 94

= 0. 10 kg

Therefore, the mass of the trailer would be 0. 10kg.

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Answer:

8m is the answer.......

Answer:

Explanation:

We can subtract directly the corresponding components and check using the parallelogram rule.

Explanation:

Have a look:

enter image source here

Where, graphically, I used the fact that:

→

A

−

→

B

=

→

A

+

(

−

→

B

)

For the magnitude we use Pythagoras (with the components) to get:

∣

∣

∣

→

A

−

→

B

∣

∣

∣

=

√

(

−

1

)

2

+

(

5

)

2

=

√

1

+

25

=

√

26

≈

5.1

For the direction I can see that will be

90

∘

from the

x

axis up to the

y

axis, plus the little bit passed the

y

axis given as:

θ

=

arctan

(

1

5

)

=

11.3

∘

giving in total: angle

=

90

∘

+

11.3

∘

=

101.3

∘

Answer:

\(h_p = 30.46\ m\)

Explanation:

Free Fall Motion

A free-falling object refers to an object that is falling under the sole influence of gravity. If the object is dropped from a certain height h, it moves downwards until it reaches ground level.

The speed vf of the object when a time t has passed is given by:

\(v_f=g\cdot t\)

Where \(g = 9.8 m/s^2\)

Similarly, the distance y the object has traveled is calculated as follows:

\(\displaystyle y=\frac{g\cdot t^2}{2}\)

If we know the height h from which the object was dropped, we can solve the above equation for t:

\(\displaystyle t=\sqrt{\frac{2\cdot y}{g}}\)

The stadium is h=32 m high. A pair of glasses is dropped from the top and reaches the ground at a time:

\(\displaystyle t_1=\sqrt{\frac{2\cdot 32}{9.8}}=2.56\ sec\)

The pen is dropped 2 seconds after the glasses. When the glasses hit the ground, the pen has been falling for:

\(t_2=2.56 - 2 = 0.56\ sec\)

Therefore, it has traveled down a distance:

\(\displaystyle y=\frac{9.8\cdot 0.56^2}{2} = 1.54\ m\)

Thus, the height of the pen is:

\(h_p = 32 - 1.54\Rightarrow h_p=30.46\ m\)

The pen is 30.52 m above the ground.

Given that the height of the stadium is h = 32m

The initial velocity of the glasses will be 0.

\(h=\frac{1}{2}gt^{2} \\t=\sqrt{\frac{2h}{g} } \\t=\sqrt{\frac{2*32}{9.8} }\\t=2.55s\)is the time taken for the glasses to hit the ground.

Now the pen is released 2 seconds later. So by the time the glasses hit the ground the pen has spent:

\(t^{'}=2.55-2\\t^{'}=0.55s\)in the air

distance traveled by the pen:

\(d=\frac{1}{2}gt^{2}\\\\d=\frac{1}{2}*9.8*0.55*0.55\\\\d=1.48m\)

So the pen is  \(h-d=32-1.48=30.52m\)  above the ground.

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Answer:

work done on desk = m g h = 105 * 9.81 * 2.46 = 2534 Joules

Explanation:

so work in = 2534 / 0.875 = 2896 Joules

that is your 648 times distance your hand moved holding the rope

2896 = 648 * x

4.47 meters

I think maybe a typo, 648 N is too big, maybe 64.8 ? Any block and tackle system does better than that.

A 1 m-high table drops an object with a mass of 1 kg. This acceleration vector is identical at 50 cm and 80 cm distant the table if you depict the motion by sketching the object's velocities and accelerations vectors.

A vector quantity with direction is velocity. The velocity vector's direction is always parallel to the object's motion. Acceleration direction: The vector quantity of acceleration has a direction.

This acceleration vector, which represents the instantaneous acceleration, may be found by taking the velocity function's derivative with respect to time, as we saw in the previous chapter. The fact that they are essentially vector quantities is the only variation in either two or three dimensions.

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Answer:

a

Explanation:

cys

Answer:

1.) Q T U W 

Explanation:

1.) QTUW

2.) UW

3.) QU

4.) QTUC

According to first law of thermodynamics

dU = Q - W

Where

dU = change in internal energy

Q = heat added

W = work done by the system

2.) UW

Work is been done on the system. The pressure will surely distort the internal energy of the system

Pressure = Force/area.

3.) QU

The melting process begins because the air temperature around the ice cubes is warmer

The solid ice particles absorb heat energy from the warmer air, giving the particles energy and enabling them to move away from one another.

4.) Chemical reaction can be exothermic or endothermic which involves absorption or release of heat. Since it is subjected to small spark, there is definitely a change in internal energy.

In this exercise we have to have knowledge about thermodynamics in order to identify the alternatives that are correctly classified, so we can say that:

1.) QTUW

2.) UW

3.) QU

4.) QTUC

According to first law of thermodynamics:

\(dU = Q - W\)

Where:

1.) The first alternative corresponds to:

In other words QTUW.

2.) The second alternative corresponds to:

Work happen been finished ahead of the system. The pressure will without doubt deform the internal strength of bureaucracy:

\(Pressure = Force/area\)

In other words UW.

3.) The third alternative corresponds to:

The softening process begins cause the air coldness of some degree around the frozen water cubes happen warmer The complete frozen water particles take in heat strength from the warmer air, bestowing the piece energy and allowing to happen them to move out each one.

In other words QU.

4.) The fourth alternative corresponds to:

Chemical reaction maybe exothermic or endothermic that involves assimilation or release of heat. Since it happen commit small spark, skilled happen certainly a change in within strength.

In other words QTUC

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Answer:

it would make 9790 J of energy

Answer: Friction Forces

Explanation: (I took the same test and got the answer)

_________________________________________

I hope this helps!

Answer:

Half

Explanation:

If the half life of an isotope is 20 years, then half of the original amount will  remain after 20 years has passed.

That's what "half-life" means.

Similarly, after ANOTHER 20 years, 1\4 of the original amount remains.

And after ANOTHER 20 years, 1\8 of the original amount remains.

And after ANOTHER 20 years, 1\16 of the original amount remains.

And after ANOTHER 20 years, 1\32 of the original amount remains.

And after ANOTHER 20 years, 1\64 of the original amount remains.

And after ANOTHER 20 years, 1\128 of the original amount remains.

(a) The force the spring exert on glider A  is 1.88 N.

(b) The force the spring exert on glider B is 2.82 N.

The acceleration of the spring is calculated as follows;

F = ma

a = F/m

a = 5.4 N / (0.15 kg + 0.4 kg + 0.6 kg0

a = 4.7 m/s²

F(A) = ma

F(A) = 0.4 kg x 4.7 m/s²

F(A) = 1.88 N

F(B) = 0.6 kg x 4.7 m/s²

F(B) = 1.88 N

F(B) = 2.82 N

Thus, the force the spring exert on glider A  is 1.88 N.

The force the spring exert on glider B is 2.82 N.

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Answer:

The correct answer is A. The sun is the energy source of the surface currents in the ocean

The energy transfer starts from solar energy , then wind energy and finally wind energy is the cause of surface current .

Surface currents are currents that are located in the upper feet of the ocean , they are simply how water moves from one place to another . Pattern of surface current are determined by wind direction .

Surface currents are formed by global wind system that are fueled by energy from the sun . Because of heating effect of sun , the earth's atmosphere gets warmed up . As we know , warm air is lighter then cool air , it rises up and create low pressure near the equator because of this wind causes surface currents the ocean .

hence , The energy transfer starts from solar energy , then wind energy and finally wind energy is the cause of surface current .

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Our intrepid hero has done 2332 kJ of work pushing the crate on the frictionless surface of the newly discovered planet.

The work done by the space traveler can be determined utilizing the recipe W = F x d, where W is work, F is power, and d is distance. To find the power, we can utilize the recipe F = m x a, where m is mass and an is speed increase. Connecting the given qualities, we get F = 220 kg x 2 m/s^2 = 440 N.

Presently we can compute the work done by increasing the power by the distance: W = 440 N x 5.3 km = 2332 kJ. Accordingly, our fearless legend has done 2332 kJ of work pushing the container on the frictionless surface of the newfound planet.

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Answer:

D

I hope these is correct

A matter may exist as a solid, liquid, or gas. Matter is made up of atoms. The correct options are A and C.

In physical laws and general chemistry, matter is any material that has mass and occupies space by having volume.

It has something to do with weight. Atoms, which are made up of subatomic particles, make up the vast majority of matter in the universe.

Even all organisms is made up of matter, whether they are living or non living.

Matter is significant as though it build up all the things present in person's environment. Matter can neither be generated or be destroyed as it can only be transmuted into some another form.

The quantity of matter in a physical existence is renowned as mass. When a net force is exerted, it also characterize the body's inertia, or resistance to acceleration.

A substance can exist as a solid, liquid, or gas. Atoms are the building blocks of matter.

Thus, the correct options are A and C.

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Answer:

The order = \(\mathbf{\sqrt{\dfrac{h}{2 \pi m}} \sqrt[4]{\dfrac{H}{g}} \sqrt[4]{\dfrac{1}{2}} }}\)

Explanation:

To miss the crack at a given distance is apparently not the same as the uncertainty that occurred in the distance while falling from the tower. However, it is believed that the uncertainties in both cases appear to be the same.

So, let's work it out together

According to Heisenberg's uncertainty principle:

\(\Delta s. \Delta p =\dfrac{h}{2} =\dfrac{h}{4 \pi}\)

Also; if we recall from the equation of motion that:

\(v = u + at ---(1) \\ \\ v^2 - u^2 = 2as --- (2) \\ \\ s = ut + \dfrac{1}{2}at^2 --- (3)\)

So, if u = 0 and a = g

Then;

\(v = gt --- (1) \\ \\ v^2 = 2gs - - - ( 2) \\ \\ s = \dfrac{1}{2}gt^2 --- (3)\)

From (2)

Making (s) the subject, we have:

\(s = \dfrac{v^2}{2g}\)

\(s = \dfrac{p^2}{2gm^2}\)

By differentiation;

\(ds = d (\dfrac{p^2}{2gm^2})\)

\(ds = \dfrac{2pdp}{2gm^2}\)

\(\Delta \ s = \dfrac{p \Delta p}{gm^2 }\)

where;

\(\Delta p = \dfrac{h}{4 \pi \Delta \ s}\) from uncertainty principle

This implies that:

\(\Delta s = \dfrac{p(\dfrac{h}{4 \pi \Delta s }) }{gm^2}\)

\(\Delta s = p(\dfrac{h}{4 \pi gm^2 }) \times \dfrac{1}{ \Delta s}}\)

\((\Delta s)^2 = \dfrac{hmv} {4 \pi gm^2 }\)

here;

v = 2gH

So;

\((\Delta s)^2 = \dfrac {h \sqrt{2gH} }{4 \pi gm }\)

\(\mathbf{(\Delta s)^2 = \sqrt{\dfrac{h}{2 \pi m}} \sqrt[4]{\dfrac{H}{g}} \sqrt[4]{\dfrac{1}{2}} }\)

Thus, the order = \(\mathbf{\sqrt{\dfrac{h}{2 \pi m}} \sqrt[4]{\dfrac{H}{g}} \sqrt[4]{\dfrac{1}{2}} }}\)

In fact the actual height at which the two energies are equal can be determined only if there is a specified velocity. So by theoretically equating the energy equation we will arrive at the point that the height equal to 4.9 V².

The kinetic energy of a body is the energy formed by virtue of its motion. It is directly proportional to the mass and velocity of the moving body and the equation is written as:

KE = 1/2 MV².

Potential energy is formed by virtue of the position of a body and it is equal to mgh. Where, g is gravitational acceleration equal to 9.8 m/s² and m is mass and h is the height from the ground.

The total of these two energy is called mechanical energy of a body and the total mechanical energy of a body is always conserved.

If the kinetic energy and potential energy are equal then the equations can be equated as:

1/2 mV² = mgh

 V²/2 = gh.

         =9.8 h

 h  = 4.9 V²

Therefore at a height of 4.9 V² the energies of the falling body will be equal where v is the velocity of the moving body.

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Okay, here are the steps to calculate the full distance traveled when an object is thrown at a certain speed and angle:

You have the initial velocity (v): 35 m/s

You have the launch angle (θ): 45 degrees

We need to split the initial velocity into its horizontal (vx) and vertical (vy) components.

To calculate vx (horizontal component):

vx = v * cosθ

vx = 35 * cos(45) = 24.7 m/s

To calculate vy (vertical component):

vy = v * sinθ

vy = 35 * sin(45) = 24.7 m/s

We can calculate the horizontal distance (d) traveled using:

d = vx * t (where t is time)

Since there is no air resistance, the vertical velocity (vy) will remain constant. This means the time the object is in the air is:

t = vy / g (where g is acceleration due to gravity, 9.8 m/s^2)

t = 24.7 / 9.8 = 2.52 seconds

Now we can calculate the full horizontal distance traveled:

d = vx * t

d = 24.7 * 2.52

= 62.3 meters

So the full distance the object will travel when thrown at 35 m/s at a 45 degree angle is approximately 62 meters.

Let me know if you have any other questions!

Answer:

To calculate the full distance traveled by an object thrown at a velocity of 35 m/s at an angle of 45 degrees, we need to consider the horizontal and vertical components of the motion separately.

The horizontal component of the motion remains constant throughout the trajectory and is given by:

Horizontal distance = (Initial velocity) * (Time of flight) * cos(angle)

In this case, the initial velocity is 35 m/s, the angle is 45 degrees, and we need to find the time of flight.

The time of flight can be calculated using the vertical component of the motion. The vertical motion can be described using the equation:

Vertical displacement = (Initial velocity * sin(angle))^2 / (2 * acceleration)

Where the initial velocity is 35 m/s, the angle is 45 degrees, and the acceleration is the acceleration due to gravity, approximately 9.8 m/s^2.

The vertical displacement is zero at the highest point of the trajectory since the object comes back down to the same height it was launched from. So we can solve the equation for the time of flight.

Using these calculations, we can find the horizontal distance traveled by the object.

Let's calculate step by step:

Step 1: Calculate the time of flight

Vertical displacement = 0 (at the highest point)

0 = (35 * sin(45))^2 / (2 * 9.8)

0 = (24.75^2) / 19.6

0 = 616.0125 / 19.6

0 = 31.43

Step 2: Calculate the time of flight

Vertical displacement = (Initial velocity * sin(angle)) * time - (1/2) * acceleration * time^2

0 = (35 * sin(45)) * time - (1/2) * 9.8 * time^2

0 = 24.75 * time - 4.9 * time^2

4.9 * time^2 - 24.75 * time = 0

time * (4.9 * time - 24.75) = 0

time = 0 (initial point) or 24.75 / 4.9

time = 5.05 seconds

Step 3: Calculate the horizontal distance

Horizontal distance = (Initial velocity) * (Time of flight) * cos(angle)

Horizontal distance = 35 * 5.05 * cos(45)

Horizontal distance = 35 * 5.05 * (sqrt(2)/2)

Horizontal distance = 88.96 meters

Answer:

, Nervous tissue is composed of two types of cells, neurons and glial cells. Neurons are the primary type of cell that most anyone associates with the nervous system. They are responsible for the computation and communication that the nervous system provides.

According to the give value of the mass of lemonade and change in the temperature, the specific heat capacity of the lemonade is 3.81 J/kg/k.

The formula for the specific heat capacity (C) = Q/ m × ΔT

Q is energy added and the value, which is 334J

m is the mass of the lemonade, which is 300g = 0.3 kg

Δ T is the change in temperature, which is 19°C =(273+19)= 292 K

So, C = 334/ 0.3 × 292

         = 3.81 J/kg/k

So the specific heat capacity of the lemonade is 3.81 J/kg/k.

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Answer:

In 1957 the Soviet union launched Sputnik , the first satellite in space...

The bike is travelling at 22.5 m/s after 2.5 s

This is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

a = (v – u) / t

a = (15 – 0) / 5

a = 3 m/s²

a = (v – u) / t

3 = (v – 15) / 2.5

Cross multiply

v – 15 = 3 × 2.5

v – 15 = 7.5

Collect like terms

v = 7.5 + 15

v = 22.5 m/s

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While certain types of glass containers may be suitable for short-term storage of vinegar, it is generally recommended to use non-reactive materials, such as plastic or stainless steel, for long-term storage to avoid any potential chemical reactions or corrosion.

Vinegar is an acidic liquid that contains acetic acid. When vinegar comes into contact with certain types of glass, particularly those made of lead or other reactive materials, a chemical reaction can occur. This reaction can lead to the leaching of potentially harmful substances into the vinegar.

Glass containers made from specific types of glass, such as soda-lime glass, are generally safe for storing vinegar.

However, it is important to note that prolonged storage or exposure to vinegar can still cause the glass to corrode over time. This can result in the deterioration of the glass container, potentially leading to breakage or the release of glass fragments.

To avoid any potential issues, it is recommended to use containers made of non-reactive materials, such as food-grade plastic or stainless steel, for long-term storage of vinegar. These materials do not react with the acidic nature of vinegar and do not pose a risk of leaching harmful substances.

Additionally, it is important to store vinegar in a cool, dark place to maintain its quality and prevent spoilage. Exposure to light and heat can degrade the quality of vinegar over time.

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Answer:

No.

Explanation:

When the ball is kicked it has Gravity, Normal Force and applied force.