A wagon having a mass of 32 kg is accelerated across a level road at 0.50 m/s2 . What net force acts on the wagon horizontally?

Answer:

The largest possible range of the projectile is 163.27 m.

Explanation:

Given;

launch speed, u = 40 m/s

angle of projection, θ; between 0⁰ and 90⁰

The range of a projection is given as;

[tex]R = \frac{u^2sin(2\theta )}{g}[/tex]

The largest possible range will occur at 45 degrees angle of projection;

[tex]R = \frac{u^2sin(2\theta )}{g} \\\\R = \frac{(40)^2sin(2\ \times \ 45^0 )}{9.8}\\\\R = \frac{(40)^2sin( 90^0 )}{9.8}\\\\R = \frac{(40)^2( 1 )}{9.8} \\\\R = 163.27 \ m\\\\[/tex]

Therefore, the largest possible range of the projectile is 163.27 m.

Answer:

The hotter object radiate more power than the cooler object 15 times i.e 15σeA[tex]T^{4}[/tex]

Explanation:

From Stefan's law, an object would radiate power with respect to its temperature.

i.e Radiative power, Q = σeA[tex]T^{4}[/tex]

where Q is the radiative power, σ is the constant, e is the emissivity of the object, A is the area of the object and T is the temperature.

Let the temperature of the cooler object be represented by T.

So that its radiative power = σeA[tex]T^{4}[/tex]

Given that the temperature of the hotter object is twice as large as that of the cooler object.

Temperature of hotter object = 2T

So that its radiative power = σeA[tex](2T)^{4}[/tex]

                                         = 16σeA[tex]T^{4}[/tex]

Radiative power difference between the two objects = 16σeA[tex]T^{4}[/tex] - σeA[tex]T^{4}[/tex]

                                                                                        = 15σeA[tex]T^{4}[/tex]

The hotter object radiate more power than the cooler object 15 times.

The hotter object radiates 15 times more power  than the power of cooler object.

Absolute Temperature of one object = [tex]T_1[/tex]

Absolute Temperature of second object =[tex]T_2[/tex] = [tex]2T_1[/tex]

The Power emitted by the an object is given by the equation (1)

[tex]P= A\epsilon \sigma\;T^4[/tex].......(1)

Equation (1) is called as Stephan Boltzmann Law  

Where

P = Power emitted by the object in Joule

A = Surface area of the object

[tex]\epsilon[/tex] =  Emissivity of the object

T =  Absolute Temperature

Let us consider emissivities are equal

[tex]So \; P_1/P_2 = T_1^4/T_2^4\\[/tex]  ( Areas of both objects are equal)

[tex]P_1/P_2= T_1^4/16T1^4= 1/16[/tex]

[tex]P_2= 16 P_1[/tex]

Difference in Power = [tex]16P_1- P_1[/tex] = [tex]15P_1[/tex]

So the hotter object radiate 15 times more power  than the power of cooler object.

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Answer:

The distance the bullet will miss the target is 1.13 m.

Explanation:

Given;

Initial velocity of the bullet = 250 m/s

Distance of the target = 120 m

Time of motion;

t = 120 / 250

t = 0.48 s

During this time the bullet is under the gravitational pull and the distance it will miss the target is given by;

Y = V₀y + ¹/₂gt²

where;

V₀y is the initial vertical velocity = 0

Y = 0+ ¹/₂gt²

Y = ¹/₂(9.8)(0.48)²

Y = 1.13 m

Therefore, the distance the bullet will miss the target is 1.13 m.

Answer:C,(Calcium,an alkaline earth metal with an oxidation number of +2 will form an ionic bond with chlorine,a halogen in group VllA with an oxidation number of -1 called calcium chloride (CaCl2)

Explanation:

on USAtestprep !!

Calcium, an alkaline earth metal with an oxidation number of +2 will form

an ionic bond with chlorine, a halogen in group VIIA with an oxidation

number of -1 called calcium chloride (CaCl₂). This is correct statement.

Simply said, the number assigned to each element in a chemical combination is the definition of an oxidation number. The total number of electrons that an atom in a molecule can share, lose, or gain while forming a chemical bond with an atom of a different element is known as the oxidation number.

Also known as oxidation state, oxidation number is a numerical value. But depending on whether we take into account the atoms' electronegativity or not, these phrases might occasionally have a different meaning. In coordination chemistry, the term "oxidation number" is often used.

According to Periodic table:  calcium is a alkaline earth metal with an oxidation number of +2 whereas chlorine is a halogen in group VIIA with an oxidation number of -1. When they reacts chemically, they form an ionic compound named calcium chloride having chemical formula CaCl₂.

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Answer:

S.H.M:- If the acceleration of the vibrating body directly varies with the displacement of the body from the mean position and always directed to the mean position, the motion of that body is called simple harmonic motion.

Ex:- (i) The motion of a pendulum is an S.H.M.

(ii) The motion of vibrating mass attached to a spring is an S.H.M.

Answer:

  t = 0.6933 s

Explanation:

This is a rotational kinematics exercise, let's find the angular acceleration of the wheel

          w² = w₀² + 2 α θ

          α = (w² - w₀²) / 2 θ

Let's reduce the angles to the SI system

         θ  = 16 rev (2π rad / 1 rev) = 32π rad

let's calculate

          α = (105² - 185²) / (2 32π)

          α = -115.39 rad / s²

now let's use the relation

           w = w₀ + α t

           t = (w- w₀) /α

           t = (105 - 185) / (- 115.39)

           t = 0.6933 s

Answer:

Answer:

The rotational inertia of the meter stick is 0.0618 kgm².

Explanation:

Given;

mass of the meter stick, m = 0.499 kg

perpendicular distance to the rotational axis, r = 35.2 cm = 0.352 m

The rotational inertia or moment of inertia for a point mass is given by;

I = mr²

where;

m is the point mass

r is the perpendicular distance

Substitute the givens and solve for moment of inertia.

I = (0.499)(0.352)²

I = 0.0618 kgm²

Therefore, the rotational inertia of the meter stick is 0.0618 kgm².

Answer:

The correct solution will be "12.0 A".

Explanation:

The given values are:

[tex]N_p= 500 \ turn[/tex]

[tex]N_s= 200 \ turn[/tex]

[tex]I_s= 3.0 \ A[/tex]

By using the transformer formula, we get

⇒ [tex]\frac{N_p}{N_s} =\frac{I_s}{I_p}[/tex]

⇒ [tex]I_p = I_s\times \frac{N_s}{N_p}[/tex]

On substituting the given values, we get

⇒      [tex]=3.0 \ A\times \frac{2000}{500}[/tex]

⇒      [tex]=12.0 \ A[/tex]

Answer:

Work done is [tex]\frac{3}{2}[/tex]k[tex]x^{2}[/tex].

Explanation:

The work done by the spring is the same as the potential energy stored in the spring.

So that,

work done = potential energy = [tex]\frac{1}{2}[/tex] k[tex]x^{2}[/tex]

where k is the spring constant of the material of the spring, and x is the compression.

When the spring is compressed by x;

work done = [tex]\frac{1}{2}[/tex] k[tex]x^{2}[/tex]

When the spring is compressed by 2x;

work done = [tex]\frac{1}{2}[/tex] k[tex](2x)^{2}[/tex]

                  = [tex]\frac{1}{2}[/tex] k(4[tex]x^{2}[/tex])

                  = 2k[tex]x^{2}[/tex]

Therefore,

The work done the second time more than the first = 2k[tex]x^{2}[/tex] - [tex]\frac{1}{2}[/tex] k[tex]x^{2}[/tex]

                                                                                = [tex]\frac{3}{2}[/tex]k[tex]x^{2}[/tex]

The work done the second time more than the first is [tex]\frac{3}{2}[/tex]k[tex]x^{2}[/tex].

Spring work is equivalent to the effort done to extend the spring, Work did you do the second time than the first time will be  [tex]\rm \frac{3}{2} Kx^2[/tex].

Spring work is equivalent to the effort done to extend the spring, which is dependent on both the spring constant k and the distance stretched.

The potential energy stored as a result of the deformation of an elastic item, such as spring stretching, is referred to as elastic potential energy.

Work done by spring = potential energy

[tex](PE)_{spring }= \frac{1}{2} Kx^2[/tex]

Case 1

spring is compressed by x

[tex](PE)_1{spring }= \frac{1}{2} Kx^2[/tex]

Case 2

spring is compressed by 2x

[tex]\rm (PE)_2{spring }= \frac{1}{2} K(2x)^2\\\\\rm (PE)_2{spring }= \frac{1}{2}\times 4K(x)^2\\\\\rm (PE)_2{spring }= 2K(x)^2[/tex]

The difference in the potential energy is found by;

[tex](PE)_2-(PE)_1=2Kx^2-\frac{1}{2} Kx^2=\frac{3}{2} Kx^2[/tex]

Hence spring work did you do the second time than the first time will be [tex]\rm \frac{3}{2} Kx^2[/tex].

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The period of the enclosed cylinder is approximately 115.866 seconds.

The rotating enclosed cylinder is rotating at constant angular speed ([tex]\omega[/tex]), in radians per second, which means that experiments a constant radial angular acceleration ([tex]\alpha[/tex]), in radians per square second. Then, we derive an expression for the period of the cylinder, this is, the time needed by the cylinder to make one revolution:

[tex]g = \omega^{2}\cdot R[/tex] (1)

Where:

[tex]g = \frac{4\pi^{2}\cdot R}{T^{2}}[/tex]

[tex]T = 2\pi\cdot \sqrt{\frac{R}{g} }[/tex] (2)

Where [tex]T[/tex] is the period, in seconds.

If we know that [tex]R = 3335\,m[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], then the period of the enclosed cylinder is:

[tex]T = 2\pi\cdot \sqrt{\frac{3335\,m}{9.807\,\frac{m}{s^{2}} } }[/tex]

[tex]T \approx 115.866\,s\,(1.931\,min)[/tex]

The period of the enclosed cylinder is approximately 115.866 seconds.

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Answer:

Option 3: -48 cm

Explanation:

We are given:

refractive index; n = 1.5

radius of curvature; r2 = 24 cm

Formula for the focal length is given as;

1/f = (n - 1) × [(1/r1) - (1/r2)]

As r1 tends to infinity, 1/r1 = 0

Thus,we now have;

1/f = (n - 1) × (-1/r2)

Plugging in the relevant values;

1/f = (1.5 - 1) × (-1/24)

1/f = -0.02083333333

f = -1/0.02083333333

f = -48 cm

Answer:

The angular displacement of the blade is 576,871.2 radians

Explanation:

Given;

angular speed of the Helicopters rotor blades, ω = 510 rpm (revolution per minute)

time of motion, t = 3 hours

The angular speed of the Helicopters rotor blades in radian per second is given as;

[tex]\omega = \frac{510 \ rev}{mins} *\frac{2 \pi \ rad}{1 \ rev} *\frac{1 \ min}{60 \ s}\\\\\omega = 53.414 \ rad/s[/tex]

The angular displacement in radian is given as;

θ = ωt

where;

t is time in seconds

θ = (53.414)(3 x 60 x 60)\\

θ = 576,871.2 radians

Therefore, the angular displacement of the blade is 576,871.2 radians

Answer:

Explanation:

The mass of a substance when given the density and volume can be found by using the formula

mass = Density × volume

From the question we have

mass = 1.5 × 8

We have the final answer as

Hope this helps you

Answer:

a)   y_total = 19.916 10⁻⁵ m ,   b)    Δθ = 1.91 10-⁻³ rad

Explanation

This is a diffraction exercise that is described by the expression

          a sin θ = m λ

the first minimum occurs for m = 1

         a sin θ = λ

        sin θ = λ / a

        θ = sin⁻¹ (633 10⁻⁹ / 0.330 10⁻³)

        θ = 1.918 10⁻³ rad

let's use trigonometry

        tan θ = y / x

        y = x tan θ

        y = 2.55 tan (3.936 10-3)

        y = 5.75 10⁻- m

this value is from the central maximum to one extreme of the value,

        y_ total = 2 y

        y_total = 2 (5.75e1)

        y_total = 19.916 10⁻⁵ m

b) For the second point and constructive inference we have m = 2

         sin θl = m λ

         θ = sin⁻¹ (lat / a)

         θ = sin⁻¹ (2 633 10-9 / 0.33010-3) = son-1 (3.836 10-3)

         θ = 3.84 10-3 give

The width of this maximum is

          Δθ = 1.3 10-3

          Δθ = 3.84 10⁻³- 1.918 10⁻³

          Δθ = 1.91 10-⁻³ rad

Answer:

m = 1

Explanation:

K.E = 8J

v = 4m/s

m = ?

Now,

K.E = 1÷2mv^2

8 = 1÷2 × m × (4)^2

8 = 1÷2 × m × 16

8 = m × 8

m × 8 = 8

m = 8 ÷ 8 = 1

m = 1

K.E. = 1÷2mv^2

K.E = 1÷2 × 1 × 4^2

K.E. = 8J

-TheUnknownScientist

Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 2 × 5

We have the final answer as

Hope this helps you

Answer:

True

Explanation:

have a good day:)

Answer: This statement is True

Answer:

(1) 0.04 ohms (2) 55 ohms (3) 13 volt

Explanation:

(1) The resistance of an electric device is 40,000 microhms.

We need to convert it into ohms.

[tex]1\ \mu \Omega =10^{-6}\ \Omega[/tex]

To covert 40,000 microhms to ohms, multiply 40,000 and 10⁻⁶ as follows :

[tex]40000 \ \mu \Omega =40000 \times 10^{-6}\ \Omega\\\\=0.04\ \Omega[/tex]

(2) Voltage used, V = 110 V

Current, I = 2 A

We need to find the resistance of the iron. Using Ohms law to find it as follows :

V = IR, where R is resistance

[tex]R=\dfrac{V}{I}\\\\R=\dfrac{110}{2}\\\\R=55\ \Omega[/tex]

(3) Current, I = 0.2 A

Resistance, R = 65 ohms

We need to find the applied voltage in the circuit. Using Ohms law to find it as follows :

V=IR

V = 0.2 × 65

V = 13 volt

Answer:

1. 0.04 Ohms

2. 55 Ohms

3. 13 Volts

Explanation:

Penn Foster

Answer:

1 cm/s²

Explanation:

I just took the quiz

The asteroid 234 Ida has a mass of about 4×1016 kg and an average radius of about 16 km. The acceleration due to gravity will be 1.04 cm/s². Hence, option A is correct.

The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/s² is its SI unit. Its vector nature—which includes both magnitude and direction—makes it a quantity. The unit g stands for gravitational acceleration. At sea level, the standard value of g on the earth's surface is 9.8 m/s².

The formula for the acceleration due to gravity is g=GM/r².

According to the question, the given values are :

Mass, M = 4 × 1016 kg or

M = 4 × 10¹⁶.

Radius, r = 16 km or,

r = 16000 meter.

G = 6.67 × 10⁻¹¹ Nm²/kg²

g = (6.67 × 10⁻¹¹ ) (4 × 10¹⁶) / 16000²

g = 0.0104 m/s² or,

g = 1.04 cm/s².

Hence, the acceleration due to gravity will be 1.04 m/s²

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Answer:

My worldview is that the world is a beautiful place. IT has many wonders, and many kind people. There are also very nice places, governments, tech and more.

Answer:

62

Explanation:

it doesn't need explanation

Answer:

352,088.37888Joules

Explanation:

Complete question;

A hiker of mass 53 kg is going to climb a mountain with elevation 2,574 ft.

A) If the hiker starts climbing at an elevation of 350 ft., what will their change in gravitational potential energy be, in joules, once they reach the top? (Assume the zero of gravitational potential is at sea level)

Chane in potential energy is expressed as;

ΔGPH = mgΔH

m is the mass of the hiker

g is the acceleration due to gravity;

ΔH is the change in height

Given

m = 53kg

g = 9.8m/s²

ΔH = 2574-350 = 2224ft

since 1ft = 0.3048m

2224ft = (2224*0.3048)m = 677.8752m

Required

Gravitational potential energy

Substitute the values into the formula;

ΔGPH = mgΔH

ΔGPH = 53(9.8)(677.8752)

ΔGPH = 352,088.37888Joules

Hence the gravitational potential energy is 352,088.37888Joules

The change in gravitational potential energy be, once the hiker reach the top of the mountain is 352088 joules or 352.1 kJ.

Gravitational potential energy is the energy which a body posses because of its position.

The gravitational potential energy of a body is given as,

[tex]U=mgh[/tex]

Here, (m) is the mass of the body, (g) is the gravitational force and (h) is the height of the body.

The mass of the hiker is 53 kg and the height of the climb is 2574 ft.

Now, the hiker starts climbing at an elevation of 350 ft. Thus, the net height of the hiker has to climb is,

[tex]h=2574-350\\h=2224\rm\; ft[/tex]

Convert this into the meter by multiplying 03048 as,

[tex]h=2224\times0.3048\\h=677.8752\rm\; m[/tex]

It is known that the value of g is 9.8 m/s². Plug in all the values as,

[tex]U=53\times9.8\times677.8752\\U=352088J\\U=352.1 \;\rm kJ[/tex]

Thus, the change in gravitational potential energy be, once the hiker reach the top of the mountain is 352088 joules or 352.1 kJ.

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Answer:

Gravity, or gravitation, is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are brought toward one another. On Earth, gravity gives weight to physical objects, and the Moon's gravity causes the ocean tides. 

Answer: 8 meters per second

Explanation: If you add 60 to 20 you get 80 meters and since he ran those 80 meters in 10 seconds you divide 80 by ten and get 8 and then you get 8m/s

Answer:

answer is 11.76 meter

Explanation:

use 2nd equation of motion

S=ut+1/2at^2

Answer:

flexible covering

Explanation:

Answer:

Patellar region

Plantar region

Crural region

Answer:

B, C, D

Patellar, Plantar, Crural regions

Explanation:

Legs are the lower limbs of the body, consisting of all these parts. Just did assignment too.