In 1954 the English runner Roger Bannister broke the four-minute barrier for the mile with a time of 3:59.4 s (3 min and 59.4 s). In 1999 the Moroccan runner Hicham el-Guerrouj set a record of 3:43.13 s for the mile. If these two runners had run in the same race, each running the entire race at the average speed that earned him a place in the record books, el-Guerrouj would have won. By how many meters?

Answer:

10 N

Explanation:

Newton's Second Law equation: Fnet = ma

Assuming no frictional force, plug in the values to get your answer!

Fnet = 5kg x 2m/s^2 = 10 N

The time taken by the toy rocket that was fired horizontally to land on the ground is 2.47 seconds

s = ut + 1 / 2 at²

s = Distance

u = Initial velocity

t = Time

a = Acceleration

[tex]u_{x}[/tex] = 12 m / s

[tex]u_{oi}[/tex] = 0

[tex]s_{y}[/tex] = 30 m

[tex]a_{x}[/tex] = - 1.6 m / s²

[tex]a_{y}[/tex] = g = 9.8 m / s²

[tex]s_{y}[/tex] = [tex]u_{oi}[/tex] t + 1 / 2 gt²

30 = 0 + ( 0.5 * 9.8 * t² )

t = √ ( 30 / 4.9 )

t = 2.47 s

The initial velocity of a horizontal projectile motion is in x-direction is constant throughout the motion whereas in y-direction the initial velocity is zero and the final velocity varies.

Therefore, the time taken by the toy rocket that was fired horizontally to land on the ground is 2.47 seconds

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Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

Newton’s second law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.

Newton’s third law states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. The third law is also known as the law of action and reaction. This law is important in analyzing problems of static equilibrium, where all forces are balanced, but it also applies to bodies in uniform or accelerated motion.

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The first law represented in the game would be the candy. If you blow it, it would move but then stop due to friction.

The second law would be represented by blowing the candy. Since the candy was light, it would be easier to blow but if it was heavier, it would be a lot harder.

The final law represented in the game would be if you decided to blow the candy with a ballon instead, the candy would move the opposite direction the ballon is moving.

The normal force acting on the block is 49 N in upward direction

It is given that

mass of block is 5kg

And we have to find the Normal force on block

The force surfaces apply to stop solid objects from passing through one another is known as the normal force.

A contact force is a normal force. A normal force cannot be applied between two surfaces that are not in contact.

Since, block is at rest and no other force is acting on it so only force acting on it is by the table and it is in upward direction

Force = mg = 5 x 9.8 = 49 N in upward direction

Hence, normal force acting on block is 49 N in upward direction

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Answer:

2,000

Explanation:

Answer: 2000 meters would be the distance you walked, but if you need it in feet, it is 6,561.67979.

Explanation: 1 meter = 3.28 feet.

The electric potential energy of this charge increase as it moves through the battery is 6.84 J.

The power required to move a charge in opposition to an electric field is known as electric potential energy. A charge must be moved through a stronger electric field with more energy, but it also must be moved through a weaker electric field with more energy. The energy gained when an object moves against an electric field is known as the electric potential energy. The electric potential is calculated for any charge by dividing the potential energy by the charge.

Emf of the battery = 11.4 V

Current used = 0.60 A

Current = Charge / Time

The charge per second is 0.60 C. Therefore, the electric potential energy will be:

U = qv

U = Current used × Emf

U = 0.60 × 11.4

U = 6.84 J

Therefore, the electric potential energy of this charge increase as it moves through the battery is 6.84 J.

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Part A: capacitance =  2.650 × [tex]10^{-12}[/tex] F

Part B: the potential difference between the plates =  2.5250 × 10²  V

Part C: the magnitude of the electric field between the plates = 7.56 × [tex]10^{6}[/tex]  V/m

Given:

distance between plates(d) = 3.34 × [tex]10^{-3}[/tex] m

Area of plates(A) = 10 × [tex]10^{-4}[/tex] m²

Charge(Q) = 6.70 × [tex]10^{-8}[/tex] C

electric constant(εo) = 8.8542× [tex]10^{-12}[/tex]  F/m

The capacitance is given by:

C= εo*A/d

  = (8.8542× [tex]10^{-12}[/tex]  × 10 × [tex]10^{-4}[/tex] )/ 3.34 × [tex]10^{-3}[/tex]

   = 2.650 × [tex]10^{-12}[/tex] F

To calculate the Magnitude of the electric field between the plates

⇒ E=σ/εo ,where σ = Q/A

    σ =  6.70 × [tex]10^{-8}[/tex] /  10 × [tex]10^{-4}[/tex]

       =  6.70 × [tex]10^{-5}[/tex]  C[tex]m^{-2}[/tex]

Now, E =   6.70 × [tex]10^{-5}[/tex] /  8.8542× [tex]10^{-12}[/tex]

             =    7.56 × [tex]10^{6}[/tex]  V/m

To find the potential difference between the plates;

V=E×d

  = 7.56 × [tex]10^{6}[/tex] × 3.34 × [tex]10^{-3}[/tex]

  =   2.5250 × 10²  V

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The kinematics equation to determine v₀ is  Δx = (v + v₀/2) Δt; option B

Kinematic equations are equations which describe the motion of moving bodies.

Kinematic equations are also known as equations of motion.

The equations of motion are given below:

where;

Given that the values for the following are given;  Δx, v, and Δt, the equation to determine v₀ will be Δx = (v + v₀/2) Δt

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The charge is obtained as 2.19 * 10^-5 C the electric field is obtained as 1 * 10^-7 N/C.

We know that the electric field is the created as a result of the presence of one charge close to another. The magnitude of the electric charge that would make the particle be for it to remain stationary when placed in a downward-directed electric field of magnitude 650 N/C is required here.

a) Recall that the eight is also a force and counterbalanced the electric force hence;

W = mg = Eq

mg = Eq

g = 9.8 m/s^2

1.45 * 10^-3 Kg * 9.8 m/s^2 = 650 N/C * q

q = 1.45 * 10^-3 Kg * 9.8 m/s^2/650 N/C

q = 2.19 * 10^-5 C

b) The charge on the proton is 1.6 * 10^-19 while the mass of the proton is 1.67 * 10^-27 Kg

F= 1.67 * 10^-27 Kg * 9.8 m/s^2 = 1.6 * 10^-26 N

The electric field is obtained from;  1.6 * 10^-26 N/1.6 * 10^-19

= 1 * 10^-7 N/C

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Answer:

Measuring a patient's body weight can be done to Assess and monitor fluid and nutrition status as part of a nutrition screening tool. Calculate drug doses. Calculate nutrition and fluid support if required. Monitor the effectiveness of nutritional support.

Explanation:

Answer:

37.85 Liters in 10 US gallons

Explanation:

if asking for volume: volume = 3.785liters

The physical stimulation of the sense organs is known as sensation. The act of mentally classifying, interpreting, analyzing, and integrating stimuli from the senses and the brain is known as perception.

Therefore, sensory and perceptual development is very necessary in infants.

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If an extension cord 20 m long uses no. 12 gauge copper wire cross-section of area 0.033 cm² resistivity 1.7×10⁻⁸ ohms - m, the resistance of the extension chord would be 0.1030 Ohm.

Resistance is the obstruction of electrons in an electrically conducting material.

The mathematical relation for variation in resistance with length is given by

R = ρ*L/A

As given in the problem an extension cord 20 m long uses no. 12 gauge copper wire cross-section of  area 0.033 cm² resistivity 1.7×10⁻⁸ ohms - m, then we have to find the resistance of the wire,

Resistance of the wire =  1.7×10⁻⁸ ×20/0.033 ×10⁻⁴

                                     =0.1030 Ohm

Thus, the resistance of the extension chord would be 0.1030 Ohm.

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The question is incomplete the complete question is,

An extension cord 20 m long uses no. 12 gauge copper wire cross-section of area 0.033 cm² resistivity 1.7×10⁻⁸ ohms - m, then find the resistance of the wire?

Hi !

Answer:

Which term is defined as a guess informed by observations?

O hypothesis

The sides of a small rectangular box are measured to be 1.80 ± 0.01 cm, 2.05 ± 0.02 cm, and 3.1 ± 0.01 cm long. Its volume and uncertainty is 11.4 ± 0.2 cm³.

While doing certain experiments or calculation we can end a less precise value that what actually it's the answer of the experiment, this exact value of the experiment is called true value.

In physics uncertainty refers to the possible variation from the true value. Variation is calculated for possible increment in the precision of the result.

These are the rules for doing basic operation on uncertainty :

If you're adding or subtracting quantities with uncertainties, you add the absolute uncertainties.

If you're multiplying or dividing, you add the relative uncertainties.

If you're multiplying by a constant factor, you multiply absolute uncertainties by the same factor, or do nothing to relative uncertainties.

Now in the given question we have to multiply the uncertainty, so we will simply add the relative error.

To find volume of the cubic structure we simply multiply the error free values.

Volume of the cuboid = Length × Breadth × Height

Volume of the cuboid = 1.80 cm × 2.05 cm × 3.10 cm

Volume of the cuboid = 11.4 cm³

Uncertainty in the volume[tex]= \frac{0.01\ cm}{1.80\ cm} \times 100\% + \frac{0.02\ cm}{2.05\ cm} \times 100\% + \frac{0.01\ cm}{3.1\ cm} \times 100\%[/tex]

= (0.55 + 0.97 + 0.32) × 11.4

= 1.84 × 11.4

= 20.976

Now,

δA = Percent Uncertainty / 100%

     = 20.976 / 100

     = 0.2 cm³

Thus from the above conclusion we can say that Its volume and uncertainty is 11.4 ± 0.2 cm³.

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In physics, a system is a group of related objects that interact with each other and form a complex whole.

In sciences (i.e., physics, chemistry and biology) a system can be defined as an interrelated group of different elements or parts that work together to perform a given function.

In conclusion, in physics and science disciplines in general, a group of related objects that interact in order to form a complex whole is commonly referred as a system.

Complete question:

Fill in the blank. In physics, a ____ is a group of related objects that interact with each other and form a complex whole.

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Answer:

electron, lightest stable subatomic particle known. It carries a negative charge of 1.602176634 × 10−19 coulomb, which is considered the basic unit of electric charge. The rest mass of the electron is 9.1093837015 × 10−31 kg, which is only 1/1,836the mass of a proton.

Explanation:

I hope this will be helpful for you.

The average speed in km/h will be 93.342 km/hr for 58 mph.

Speed is defined as the ratio of distance and time, and average speed is defined as the overall distance the object covers in a given amount of time is its average speed. The scalar quantity represents the average speed. It does not have direction; it is represented by magnitude.

Average Speed=[tex]\frac{total distance}{total time}[/tex]

According to the question, the speed is given i.e., 58mph

1 mph=1.61 km/hr

⇒58 mph= 1.61×58

⇒93.342 km/hr

Hence, the speed in km/hr will be 93.342 km/hr for 58 mph.

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Answer:

equal to the speed of the object.

Answer:

1.25 m

Explanation:

Constant Acceleration Equations (SUVAT)

[tex]\boxed{\begin{array}{c}\begin{aligned}v&=u+at\\\\s&=ut+\dfrac{1}{2}at^2\\\\ s&=\left(\dfrac{u+v}{2}\right)t\\\\v^2&=u^2+2as\\\\s&=vt-\dfrac{1}{2}at^2\end{aligned}\end{array}} \quad \boxed{\begin{minipage}{4.6 cm}$s$ = displacement in m\\\\$u$ = initial velocity in ms$^{-1}$\\\\$v$ = final velocity in ms$^{-1}$\\\\$a$ = acceleration in ms$^{-2}$\\\\$t$ = time in s (seconds)\end{minipage}}[/tex]

When using SUVAT, assume the object is modeled as a particle and that acceleration is constant.

Consider the horizontal and vertical motion of the ball separately.

As the ball rolls off the table with a horizontal velocity only, the vertical component of its initial velocity is zero.

Acceleration due to gravity = 10 ms⁻²

As we need to find the vertical displacement of the ball, resolve vertically, taking ↓ as positive:

[tex]u=0 \quad a=10 \quad t=0.5[/tex]

[tex]\begin{aligned}\textsf{Using} \quad s&=ut+\dfrac{1}{2}at^2\\\\s&=(0)(0.5)+\dfrac{1}{2}(10)(0.5)^2\\s&=0+\dfrac{1}{2}(10)(0.25)\\s&=(5)(0.25)\\ \implies s&=1.25 \; \sf m\end{aligned}[/tex]

Therefore, the vertical displacement of the ball is 1.25 m, and so the table is 1.25 m above the floor.

The maximum value of the resistance is 105,000 Ω

We are given the following properties of the resistor as;

Resistance =  10,000-Ω

Tolerance = 5%

Now, when we say a tolerance of 5%, it means the value of the resistance can only reduce or increase by a maximum of 5%.

Thus;

For a decrease of 5%, we would get the minimum value of the resistance which is;

Minimum value = (100% - 5%) * 10000

Minimum value = 95000 Ω

Then the maximum value of the resistance is;

Maximum Value = (100% + 5%) * 10000

Maximum Value = 105,000 Ω

Thus, the maximum value of the resistance is 105,000 Ω

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The particle B will pass particle A in 1.10s.

Using kinematic formula,

d = Vini x t + 1/2 at²

where,

d is distance

Vini is velocity initial

a is acceleration

t is time

So, putting values

7.7 t + 1/2 x 1.8 t^² = 2.9 t + 1/2 x 5.7 t²

7.7 t + 2.7 t² = 2.9 t + 8.55 t²

t + t² / t + t² = 2.9 + 8.55 / 7.7 + 2.7

t = 1.10s

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The mass flow rate of water is 5.146×10³ kg/s

The enthalpy change that occurs during a reaction is the heat that enters or exits the system. A critical factor that determines whether a reaction may occur is whether the enthalpy of the system increases (i.e., because energy is added) or lowers (i.e., because energy is given off).

Elevational difference (Z1-Z2) =15m

V1 = the inlet velocity, V2 = the outlet velocity

Using the equation for steady-state energy Q+m(h1+V2/12+g/z1) =W+m(h2+V22/2+gz2),

m(h1+V21/2+g/z1) m(h2+V22/2+g/z2) =WQ, and m(h1h2+V2/12V22/2+g/z1g/z2) =WQ.

The change in enthalpy and the rate of heat transfer are both zero because the pressure and temperature have barely changed.

m (0−0+0/22−10/22+9.81× (15))

=500×1000m\s

=5.146×10³ kg/s

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88 generations have passed.

A generation is a collective term for all individuals who were born and are still alive at around the same period. The average time frame, commonly regarded to be between 20 and 30 years, during which children are born, grow up, become adults, and start having children is another way to put it. It is a structural term used to describe the parent-child relationship in kinship terminology.

In social science, the terms "generation" and "cohort" are sometimes used interchangeably to refer to "individuals within a defined population who experience the same key events over a certain period of time." These birth cohorts, usually referred to as "social generations," are frequently employed in popular culture and have served as the foundation for sociological study.

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The unit conversion of 1.5 x 10⁸ Gm to m =  1.5 x 10¹⁷ m.

The unit conversion of 2.6 x 10⁻⁵ nm =  2.6 x 10⁻²⁰ Mm.

The unit conversion of 2.72 x 10⁻⁵ μm =   2.72 x 10⁻¹¹ m.

The unit conversion of 2.56 x 10⁻³ cm =  2.56 x 10⁻⁸ km.

The unit conversion of 2 hr =  7,200 seconds.

The unit conversion of 2 h 30 min  = 9,000 seconds.

Unit conversion involves the change of unit of a substance from one base to another.

1.5 x 10⁸ Gm = 1.5 x 10⁸ x 10⁹ m = 1.5 x 10¹⁷ m

2.6 x 10⁻⁵ nm = 2.6 x 10⁻⁵ x 10⁻⁹ x 10⁻⁶ m = 2.6 x 10⁻²⁰ Mm

2.72 x 10⁻⁵ μm =  2.72 x 10⁻⁵  x 10⁻⁶ m =  2.72 x 10⁻¹¹ m

2.56 x 10⁻³ cm = 2.56 x 10⁻³ x 10⁻² m x 10⁻³ km/m = 2.56 x 10⁻⁸ km

2 hr = 2 x 3600 s = 7,200 seconds

2 h 30 min = 7,200 seconds + 1800 s = 9,000 seconds

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Answer:

can u show question 1?

Explanation:

Answer:

A

Explanation:

The amount of energy used by the TV is 129.6 kJ.

Electric energy is the product of charge and potential difference.

To calculate the amount of electric energy used, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the amount of energy used by the TV is 129.6 kJ.

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Answer: 45 m/s and 80 m/s

Explanation:

The acceleration due to gravity on an object is 9.8 m/s^2

Simply multiple this my the the time that it has fallen (in seconds) and this will provide you with its velocity at that time.

(4.5 seconds) (9.8) = 44.1 m/s

(8 seconds) (9.8) = 78.4 m/s

Values are rounded off for the final answer.

Answer:

6.5 km/ h

Explanation:

24 minutes = 24/60 = 0.4 hours

v = 2.6 / 0.4 = 6.5 km/h

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