Select the correct answer.
What are the units for the spring constant, k?
OA newton meters
OB. newton seconds
OC. newtons/meter
OD. newtons/second
E. newtons/seconds

Explanation:

kinetic to gravitational

Answer:

The dryer evaporate 200 - 24.74 kg of water per hour

To remove 1kg of water it need 3000 K J

So to remove, 175.26 Kg

it need 5.257x [tex]10^{5}[/tex] KJ of heat per hour.

Explanation:

In one hour, the amount of sugar entering = 1000 kg

w.b moisture content is defined as,

weight of water / weight of water + weight of dry

[tex]W_{w}[/tex]/[tex]W_{w}[/tex] + [tex]W_{d}[/tex] x 100

[tex]W_{w}[/tex] + [tex]W_{d}[/tex] = 1000 kg when entering

it has 20% moisture content when entering

[tex]W_{w}[/tex] = 0.2 x 1000 = 200 kg

when leaving it has 3% moisture content then weight of dry material

[tex]W_{d}[/tex] = 1000 - 200 = 800 Kg

[tex]\frac{W_{w}^{'} }{W_{w}^{'} + W_{d}^{'} }[/tex] = 0.03

[tex]\frac{W_{w}^{'} }{W_{w}^{'} + 800 }[/tex] = 0.03

[tex]W_{w} ^{'}[/tex] = 0.03 x [tex]W_{w} ^{'}[/tex] + 0.03 x 800

[tex]W_{w} ^{'}[/tex] = 24.74 kg

When leaving the dryer, the crystals has total weight of the water = 24.74 kg per hour.

The dryer evaporate 200 - 24.74 kg of water per hour

To remove 1kg of water it need 3000 K J

So to remove, 175.26 Kg

it need 5.257x [tex]10^{5}[/tex] KJ of heat per hour.

Height is 7.05 m and not 7.05 mm

Answer:

9.603 m/s

Explanation:

We are dealing with rotation, so velocity of centre of mass is given by;

v_cm = Rω

Since we are working with a solid cylinder, moment of inertia of the cylinder is; I = ½mR²

Since it is rolled from the top to the bottom, at the top it will have potential energy(mgh) while at the bottom it will have kinetic energy (rotational plus translational kinetic energy).

Using conservation of energy, we have:

P.E = K.E_t + K.E_r

Formula for rotational and kinetic energy here are;

K.E_t = ½mv²

K.E_r = ½Iω²

mgh = ½mv² + ½Iω²

Since we want to find translational speed(v), let's get rid of ω.

Earlier, we saw that v_cm = Rω

Thus; ω = v/R

Also, we know that I = ½mR².

Thus;

mgh = ½mv² + ½(½mR²)(v/R)²

This gives;

mgh = ½mv² + ¼mv²

Divide through by m to get;

gh = v²(½ + ¼)

gh = ¾v²

Making v the subject gives;

v = √(4gh/3)

v = √((4 × 9.81 × 7.05)/3)

v = 9.603 m/s

Answer:

a) 0.5644 m/s

b) ~0.384 m/s^2

c) ~3.638 m/s

Explanation:

a) Tangential speed is found be the radius*rotational speed, so it is 0.83*0.68 = 0.5644 m/s

b) Centripetal acceleration is found by v^2/r, so it is (0.5644^2)/0.83 = ~0.384 m/s^2

c) Let the tangential speed be v. The maximum centripetal force 110 N (as given). Centripetal force = mass*centripetal acceleration = mass*v^2/r (because centripetal acceleration is found by v^2/r). Inputting the values from the problem and solving for v, we get:

110 = 6.9*v^2/0.83

v = sqrt(110*0.83/6.9) = ~3.638 m/s

I hope this helps! :)

Answer:

a. the polar front

Explanation:

When the surface winds move towards the pole at angles that range from 30 to 60 degrees, they usually collide with cold air moving towards the equator. Since these two winds do not mix with ease, the polar front helps to separate them.

The three-cell model assumes that the earth is entirely filled with water thus removing any interactions with the land. It also assumes that there are no seasons nor Coriolis force.

Answer:

you select what ever feels right to you if you think what it tells you is true then you would say strongly agree and if you don't agree then it would be any of the other options

Answer:

The velocity [tex]v = 1989.2 \ m/s[/tex]

Explanation:

From the question we are told that

    The wavelength is [tex]\lambda = 0.500 \ m[/tex]

     The maximum transverse speed is  [tex]v = 4.0 \ m/s[/tex]

      The maximum transverse acceleration is  [tex]a = 1.00 *10^{5} \ m/s^2[/tex]

Generally the frequency of the wave is mathematically represented as

                    [tex]f = \frac{w}{2 \pi }[/tex]

Here  w  is the angular speed which is mathematically evaluated as

      [tex]w = \frac{a}{v}[/tex]

=>    [tex]w = \frac{1.00 *10^{5}}{4}[/tex]

=>    [tex]w = 25000 \ rad/sec[/tex]

So

       [tex]f = \frac{ 25000 }{2 * 3.142 }[/tex]

=>    [tex]f = \frac{ 25000 }{2 * 3.142 }[/tex]

=>    [tex]f = 3978.4 \ Hz[/tex]

Gnerally the propagation speed of the wave is mathematically represented as

        [tex]v = f * \lambda[/tex]

=>      [tex]v = 3978.4 * 0.500[/tex]

=>      [tex]v = 1989.2 \ m/s[/tex]

Answer:

The correct option is "a plasma tail"

Explanation:

Gases escaping from a comet are ionized by ultraviolent rays from the sun. These ionized gases are then carried away from the sun by the solar wind to form the plasma tail. While the plasma tail is made up of gases, the dust tail is made up of tiny solid particles (dust) that escapes from the comet and are also pushed away from the sun.

Answer:

Measurements/cor. units      Resistor 1    Resistor 2    Resistor 3      Total

V (volts)                                       24V              16V            12.63V        120 V

I (A – amperes)                          4.8A             2.13A          1.34A          5.45A

R (Ω – ohms)                            5.0 Ω            7.5 Ω           9.5 Ω            22Ω

P (W – work)                            115.2W          34.08W      16.92W        2,640W

Answer: OVERVIEW

Students will use black and white construction paper and a light source to learn that dark objects

absorb more light and reflect less light than bright objects. The activity also demonstrates the conversion

of radiant light energy into heat energy.

CONCEPTS

• Dark surfaces absorb more visible light energy than bright surfaces

• Dark surfaces reflect less visible light energy than bright surfaces

• Energy can change forms, in this case from radiant light energy to heat

• Clouds, being bright, reflect significant amounts of sunlight and help to regulate Earth’s temperature

MATERIALS

• 2 thermometers

• Flood lamp, desk lamp, or area in direct sunlight

• Ruler

• Construction paper, 1 piece white, 1 piece black, or 2 sheets photocopy paper

• Scissors

• Cellophane tape or rubber bands

• 2 empty metal food cans, same size (be sure rims are not jagged)

PREPARATION

The paper and the cans can be prepared beforehand or prepared as part of the activity (see Procedure).

Although two cans with their tops completely removed can be used, the experiment will be more effective

(have fewer external effects), if only holes are placed in the cans’ lids, e.g., two holes from a bottle opener

to empty material out of the can, and one center hole created with an awl for the thermometer. Only one

hole is actually needed for the experiment - for the thermometer. Cans can optionally be filled with water,

or this can be done as a separate experiment to demonstrate the higher heat capacity of water compared to

air.

You can either use a flood lamp or a desk lamp (light bulb) to simulate sunlight, as described here, or

you can place the cans on a windowsill (window closed) or other sheltered area in direct sunlight. A flood

lamp will be the most effective option, causing the largest temperature increases.

PROCEDURE

Engagement

Discuss whether dark surfaces (e.g., asphalt) or bright surfaces (e.g., concrete) tend to get hotter in

sunlight. Which would you rather walk on during the day in the summertime? What color are solar cells,

for example those found on some calculators or freeway call boxes?

Explanation: I hope this helps! ∧    ∧

                                                ⊂∵→ω←∵⊃

Answer:

D. 20J

Explanation:

Answer:

Explanation:

yes

Answer:

[tex]v=10m/sec[/tex]

Explanation:

From the question we are told that

Radius of vertical r= 8m

Force exerted by passengers is 1/4 of weight

Generally the net force acting on top of the roller coaster is give to be

[tex]F_N+Fg[/tex]

where

[tex]F_N =forceof the normal[/tex]

[tex]Fg= force due to gravity[/tex]

Generally the net force is given to be [tex]FC(force towards center)[/tex]

[tex]F_C =F_N + Fg[/tex]

[tex]F_N =F_C -Fg[/tex]

[tex]F_N=F_C-F_g[/tex]

[tex]F_N=\frac{mv^2}{R} -mg[/tex]

Mathematical we can now derive V

[tex]m_g + \frac{8m}{4}= \frac{mv^2}{8}[/tex]

[tex]\frac{5mg}{4} =\frac{mv^2}{8}[/tex]

[tex]v^2 =\frac{40*10}{4}[/tex]

[tex]v=10m/sec[/tex]

Therefore the speed of the roller coaster is given ton be [tex]v=10m/sec[/tex]

[tex]v=10m/s[/tex]

Given:

Radius of vertical r= 8m

To find:

Force exerted by passengers is 1/4 of weight

Generally the net force acting on top of the roller coaster is give to be

[tex]F_N+F_g[/tex]

where

[tex]F_N=\text{Force of Normal}[/tex] and [tex]F_g=\text{Force due to gravity}[/tex]  

Generally the net force is given to be [tex]FC- \text{Force towards centre}[/tex]

[tex]F_C=F_N+F_g\\\\F_N=F_C+F_g\\\\F_N=\frac{mv^2}{r} -mg[/tex]

Mathematically we can now derive V

[tex]mg-\frac{8m}{4} =\frac{mv^2}{8}\\\\\frac{5mg}{4}=\frac{mv^2}{8}\\\\v^2=\frac{40*10}{4} \\\\v=10m/s[/tex]

Therefore, the speed of the roller coaster is given to be 10m/s.

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Answer:

no, otherwise they just cause a side effect on our lives

Answer:

Beat frequency = 125.5 Hz

Explanation:

Given:

Length of first organ pipes  = 43 cm = 0.43 m

Length of second organ pipes = 63 cm = 0.63 m

Computation:

Wavelength L = λ/2

length λ = 2L

Frequency f1 = v/λ = 340 / 2(0.43)

Frequency f1 = 395.34 Hz

Frequency f2 = v/λ2 = 340/2(0.63)

Frequency f2 = 269.84 Hz

Beat frequency  = Frequency f1 - Frequency f2

Beat frequency = 395.34 - 269.84

Beat frequency = 125.5 Hz

Answer:

a. up

Explanation:

As per the rule of Fleming left hand, the three fingers should be places in a perpendicular manner i.e. mutually also.

The fore finger depicts the field direction

The middle finger depicts the velocity

And, the thumb finger depicts the force direction that experienced on that particle i.e. charged

So the electrons would be deflects to up

Hence, the correct option is a.

Answer:

122.5 m

Explanation:

From the question given above, the following data were obtained:

Time (t) = 5 s

Depth (h) =?

The depth of the well can be obtained as:

NOTE: Acceleration due to gravity (g) = 9.8 m/s²

h = ½gt²

h = ½ × 9.8 × 5²

h = 4.9 × 25

h = 122.5 m

Thus, the depth of the well is 122.5 m

Answer:

initial velocity = 7.44 m/s   (3 s.f.)

Explanation:

a = 6.24 m/s²     t = 0.300 s     v = 9.31 m/s       u = ?

                               v = u + at

                       9.31 = u + (6.24 x 0.300)

                             9.31 = u + 1.872

                                    u = 7.438

                                    = 7.44 m/s       (3 s.f.)

Hope this helps!

Answer:

Explanation:

v₁ , v₂ be velocity of flow of water at the surface and hole , h₁ and h₂ be height of surface and hole  , P₁ and P₂ be pressure at surface and hole .

Using Bernoulli's formula for flow of liquid in tank

1/2 ρ v₁² + ρgh₁ + P₁ = 1/2 ρ v₂² + ρgh₂ + P₂

P₁ = P₂

1/2 ρ v₁² + ρgh₁  = 1/2 ρ v₂² + ρgh₂

1/2  ( v₁² -  v₂² ) =  g(h₂ -h₁ )

v₁² -  v₂² =  - 2gd

a₁ v₁ = a₂ v₂

π R² v₁ = π r² v₂

v₁ =  r² v₂ / R²

v₁² -  v₂² =  -2gd

r⁴ v₂² / R⁴ - v₂² = -2gd

v₂² ( R⁴ -  r⁴ ) = 2gd R⁴

v₂² = 2gd R⁴ / ( R⁴ -  r⁴ )

v₂ = √ [ 2gd R⁴ / ( R⁴ -  r⁴ ) ]

Answer:

44.3 m/s

Explanation:

Given that a ball is thrown horizontally from the top of a building 100m high. The ball strikes the ground at a point 120 m horizontally away from and below the point of release.

What is the magnitude of its velocity just before it strikes the ground ?

The parameters given are:

Height H = 100m

Since the ball is thrown from a top of a building, initial velocity U = 0

Let g = 9.8m/s^2

Using third equation of motion

V^2 = U^2 + 2gH

Substitute all the parameters into the formula

V^2 = 2 × 9.8 × 100

V^2 = 200 × 9.8

V^2 = 1960

V = 44.27 m/s

Therefore, the magnitude of its velocity just before it strikes the ground is 44.3 m/s approximately

Answer:

Yes, field forces exist in nature.

Explanation:

A field force is a force experience due to an interaction with fields. In this case, a contact is not required before the force can be felt.

The three major field forces are: magnetic field, electric field and gravitational field. The magnetic fields are produced due to the interaction between the north and south poles of a magnet, the electric field is one from charges, while gravitational field is a force of attraction due to gravity on the earth. All these fields occur in nature, therefore making field forces to exist in nature.

Answer:

Because heat can be converted from one form to another.

Heat is also does work, for example it sets water molecules into motion when boiling ( convection currency ).

since energy is the ability to do work, heat does work.

Answer:

No  it will not make to the top of the hill  

Explanation:

From the question we are told that

   The velocity is  [tex]v = 4 \ m/s[/tex]

    The height of the hill is  [tex]h = 1 \ m[/tex]

Generally from the law of energy conservation we have that

   The kinetic energy of the pluck at the level position =  The potential energy of the pluck at the maximum height the  pluck can get  to  

So

       [tex]\frac{1}{2} * m * v^2 = m * g * h_{max}[/tex]

=>    [tex]\frac{1}{2} * v^2 = g * h_{max}[/tex]

=>     [tex]h_{max} = \frac{0.5 * v^2}{g}[/tex]

=>     [tex]h_{max} = 0.8163 \ m[/tex]

Given that the maximum height which the pluck can get to at this speed given in the question is less than the height of the hill then conclusion will be that the pluck will not make it to the top of the hill

The question incomplete, the complete question is;

Two identical blocks fall a distance H. One falls directly down, the other slides down a frictionless incline.

(A)the one falling vertically

(B)the one on the incline

(C)Both have the same speed.

(D)cannot be determined

Answer:

(C)Both have the same speed.

Explanation:

When we consider the question closely, we will discover that an object falling down a frictionless incline is comparable to an object falling freely under gravity.

In both instances, the acceleration of objects is just the same irrespective of mass.

Hence, the object falling vertically and the object sliding down a frictionless plane will have the same speed at the bottom.

Answer:

B )-14000N

Explanation:

F=mv-mu

t

F =2550(0)-2550(6)

1.1

F = -13909.09

approximately -14000N

Suppose a tractor was moving forward at 6.0 m/s. It runs into a pile of hay and is brought to a stop in 1.1 s. If the tractor had a mass of 2550 kg, the force did the pile of hay stop the tractor 14000N

Force can be a unit of  pushing or pulling of any object which result   from the object’s interaction or movement, without applying force the objects can not be moved, can be stopped or change the direction.

Force is a  quantitative parameter between two physical bodies, means an object and its environment, there are various  types of forces in nature.

If an object present in its moving state will be either static or motion, the position of the object will be changed if it is pushed or pulled and The external push or pull upon the object is mainly called as Force.

The contact force  that occurs when we apply some effort on an object such as Spring Force, Applied Force, Air Resistance Force, Normal Force, Tension Force, Frictional Force

Non-Contact forces are the type of forces that occur from a distance  such as Electromagnetic Force, Gravitational Force, Nuclear Force

F=mv-mu

t

F =2550(0)-2550(6)

1.1

F = -13909.09

approximately -14000N

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Answer:

Wavelength, frequency and the photon energy changes as the one goes across the ranges of the electro-magnetic radiations.

Explanation:

Electro-magnetic radiations may be defined as the form of energy that is radiated or given by the electro-magnetic radiations. The visible light that we can see is the one of the electro-magnetic radiations. Other forms are the radio waves, gamma waves, UV rays, infrared radiations, etc.

The wavelength of the radiations decreases as we go from a. radio waves -- b. infrared radiation -- c. visible light -- d. ultraviolet radiation -- e. gamma radiation.

The frequency of the radiations increases when we move from a. radio waves -- b. infrared radiation -- c. visible light -- d. ultraviolet radiation -- e. gamma radiation.

The photon energy of the radiations increases when we move from a. radio waves -- b. infrared radiation -- c. visible light -- d. ultraviolet radiation -- e. gamma radiation.

Answer:

Electric energy produced in the month of April is 18 kWh

Explanation:

Given

P = 1200 W = 1.2 kW      

Use time per day = 30 minutes = 1 / 2 hrs

We know,

No. of days in April = 30 days

Total time iron being used

T = 1 / 2 * 30 = 15 hrs

We know,

Energy consumed = Pt

Substituting the value of P and T

= 1.2 kW * 15 hr

= 18 kWh    

Hence,

Electric energy produced in the month of April is 18 kWh

Answer:

5800

Explanation:

caluculatior

The ball was in the air for 3.625 second.

Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time (for example, 60 km/h northbound).

In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea.

A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined.

Given that: the a horizontal velocity of the ball: v = 40.0 m/s .

The ball  traveled 145 meters.

Hence, the time during which the ball is in the air:

= distance travelled/ horizontal velocity of the ball

= 145 meter /  40.0 m/s .

= 3.625 second.

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