When a 4.62 kg object is placed on top of a vertical spring, the spring compresses a distance of 2.28 cm. what is the force constant of the spring?

Acceleration is 5m/s^2.

Acceleration = Change in velocity per unit time.

Therefore, Acceleration a = (10m/s)/(2s)

(10m/s)/(2s) = 5m/s^2

Answer:

R = V^2 sin 2 θ / g           range formula

max range occurs at θ = 45 deg

R = 50^2 m^2/s^2 / 10 m/s^2 = 250 m

The maximum value of angle theta for a velocity of 50 m/s will be 11.47 °, where the final velocity of the bullet is zero and the acceleration due to gravity is 10.

Velocity is a vector quantity measuring the distance covered by an object per unit time. The rate of change in velocity is called acceleration. Velocity have two component one in horizontal axis and other in vertical axis.

For horizontal axis  Vh = V cos∅

for vertical axis Vv = V sin∅.

The final velocity V = u + at.  Where u is the initial velocity.

Here V = 0 thus  u = at.

t = u/a = 50 m/s / 10m/s².

t = 5 seconds.

v = 50 cos∅ = at

∅ = cos⁻¹ (10 m/s² ˣ 5 s)

  = 11.46°

Therefore, the angle theta is probably 11.46°.

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The two possibilities for its x component are +56.13 units and -56.13 units.

We are given the resultant magnitude and the y component of a vector.

The x- component of the vector along with the y component and the resultant make a right-angled triangle.

The x - component can be calculated by applying the Pythagoras Theorem

Here the square of the resultant is equal to the square of the y-component and x- component.

(80)^2 = (57)^2 + (x)^2

6400 = 3249 + (x)^2

3151 = (x)^2

X=+- 56.13 units

Hence, the two possibilities for its x component are +56.13 units and -56.13 units.

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After transforming the position vectors from polar coordinates to cartesian coordinates, we get -

a) → r = 12.4 m , θ = 170°    ↔     - 12.21 i + 2.15 j

b) → r = 4 cm , θ = 50°   ↔    2.57 i + 3.06 j

c) → r = 20 inches , θ = 210°   ↔    - 17.32 i - 10 j

A position vector is a vector that is used to represent the position of a point in the coordinate system.

Given are the polar coordinates of three points in two dimensional coordinate system.

In order to convert the polar coordinate (r, θ) into cartesian coordinates

(x, y) use the following relations -

x = r × cosθ

y = r × sinθ

a) → r = 12.4 m , θ = 170°

x = 12.4 x cos (170°) = 12.4 x -0.98480775301 = -12 .21

y = 12.4 x sin (170°) = 12.4 x 0.17364817766 = 2.15

In cartesian form → ( -12.21 i + 2.15 j )

b) → r = 4 cm , θ = 50°

x = 4 x cos (50°) = 4 x 0.64278760968 = 2.57

y = 4 x sin (170°) = 4 x 0.76604444311 = 3.06

In cartesian form → ( 2.57 i + 3.06 j )

c) → r = 20 inches , θ = 210°

x = 20 x cos (210°) = 20 x -0.86602540378 = -17.32

y = 20 x sin (210°) = 20 x -0.5= -10

In cartesian form → ( -17.32 i - 10 j )

Therefore, after transforming the position vectors from polar coordinates to cartesian coordinates, we get -

a) → r = 12.4 m , θ = 170°    ↔     - 12.21 i + 2.15 j

b) → r = 4 cm , θ = 50°   ↔    2.57 i + 3.06 j

c) → r = 20 inches , θ = 210°   ↔    - 17.32 i - 10 j

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In 0.134 milliseconds the rice will lose its momentum.

We need to know about momentum to solve this problem. Momentum can be defined as the degree of difficulty to stop a moving object. It can be determined by

P = m . v

where P is momentum, m is mass and v is velocity.

change in momentum also can be defined by the impulse which can be defined as

ΔP = F . Δt

where F is force and Δt is interval time

From the question above, we know that:

m = 0.75 g

m = 7.5 x 10¯⁴ kg

v = 7.5 m/s

F2 = 42 N

Find the interval time

ΔP = F . Δt

m . v = 42 . Δt

7.5 x 10¯⁴ . 7.5 = 42 . Δt

Δt = 1.34 x 10¯⁴ second

Δt = 0.134 millisecond

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23.2727272727.

Used a short video to find it.

Answer:

See below

Explanation:

It is a graph on the x -y coordinate system with (generally ) the y-axis is labelled 'velocity'   and the x - axis is 'time'   <==== with this, you can look at the time and find the velocity at that time on the graph

The wavelength of the particle is [tex]6.626*10^{-29} cm.[/tex]

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Through photosynthesis, the plant creates glucose, a type of sugar, from water and carbon dioxide from the air.

Chloroplasts, a type of organelle found in plant cells, convert light energy into chemical energy that is relatively stable through the photosynthetic process. They maintain life on Earth in this way.

Chlorophyll stands out among the many kinds of pigments found in nature because it gives plants the ability to absorb the energy they require to develop tissues.

Chlorophyll is found in the plant's microscopic chloroplasts, which are found in its cells. This is where photosynthesis takes place.

Therefore, water and carbon dioxide from the air into glucose.

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We get the speed of the wave when we divide the frequency of sound waves in front of the plane by frequency behind the plane.

Assume the source s, is behind, and the listener l, is in front of the plane. The formula for the doppler effect is given by:

fL=((v±vL )/(v±vS)) fS

Thus, dividing the frequency of sound waves in front of the plane by frequency behind the plane gives the speed of the waves.

where fL is the frequency perceived by the observer (listener),

fS is the frequency of the source,

v is the speed of the waves,

vL the speed of the listener and

vS the speed of the source.

The Doppler Effect is the shift in observed frequency of a wave caused by the movement of the source or detector relative to the transmitting medium. The Doppler Effect happens when a wave source and/or observer move relative to one other, resulting in the observer measuring a different frequency of the waves than the source. In essence, this effect happens majorly in two scenarios, a stationary observer and a moving source or a moving source and a stationary observer.

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Answer:caca

Explanation:

because

The longest wavelength (nm) that can provide an energy of at least 415 kj/mol for a signal that is carried down in the consecutive cycles is 6.263 x [tex]10^{38}[/tex] /sec.

A waveform is a kind of signal that is carried throughout in space or down a wire that has a wavelength, which is the separation between two identical places in the consecutive cycles.

This length can be mostly defined in wireless systems in metres (m), centimetres (cm), or millimetres (mm).

The wavelength, can also be applied to troughs, is the separation between two wave crests.

This frequency can be measured in cycles per second (Hz), which is the also defined as the quantity of vibrations that cross a specific area in a second (Hertz).

The fundamental universal constant that is known as Planck's constant, or also symbolized as H, is the one that establishes the quantum nature of energy and links the energy of a photon to its frequency.

Energy = plank's constant x frequency

⇒ frequency = energy/ plank's constant

= 4.15 x [tex]10^{5}[/tex]/6.626 x [tex]10^{-34}[/tex]

= 6.263 x [tex]10^{38}[/tex] /sec

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Answer:

Weightlessness is simply a sensation experienced by an individual when there are no external objects touching one's body and exerting a push or pull upon it. Weightless sensations exist when all contact forces are removed.

The force that must be applied to keep the book from sliding is 41.17 N.

When a body is pressed against a wall, the four forces act on it, as shown in the image Applied force, Frictional Force, Weight and Normal Force.

To keep the book from sliding, the forces should balance each other in the horizontal and vertical directions. Thus, Applied Force and Normal Force should be equal. And Frictional force and Weight should be equal.

Hence, Applied Force = Normal Force(N)

Frictional Force = Weight (mg)

μN = mg

As applied force = N

μ x applied force = mg

0.85 x Applied Force = 3.5 x 10

Applied Force = 41.17 N

Hence, the force that must be applied to keep the book from sliding is 41.17 N.

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Answer:

no

Explanation:

velocity is equal to displacement/time

therefore if you are turning your displacement would not be as large as if you continued with a straight line.

Answer:

No.

Explanation:

For example, the car could be traveling at constant speed around a corner. In this case it`s direction is changing and therefore it`s velocity is changing.

Answer:The height that you can jump has an inverse relationship to gravitational field strength. So if the field strength doubles, the height

Explanation:

By using uniform motion, the location of the airplane when the rock hits the ground is ( 550 . √(2h/g) + h )miles.

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

vo = 550 mile/h

Find the time taken to hit the ground

s = vo . t + 1/2 . a . t²

h = 0 . t + 1/2 . g . t²

t² = 2h/g

t = √(2h/g)

Find the distance traveled by plane

s = vo . t + 1/2 . a . t²

x = vo . t + 1/2 . a . t²

x = 550 . √(2h/g) + 1/2 . g . √(2h/g)²

x = 550 . √(2h/g) + h

the distance traveled is ( 550 . √(2h/g) + h )miles.

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Answer:

A coil of wire becomes an electromagnet when current passes through it. The electromagnet interacts with a permanent magnet, causing the coil to spin. Voilà!

Explanation:

A coil of wire becomes an electromagnet when current passes through it. The electromagnet interacts with a permanent magnet, causing the coil to spin. Voilà! and ig Magnetic torque: Permanent magnets generate a flux field in the rotor. The stator generates a field that interacts with the rotor's magnetic field. Changing the position of the stator field with respect to the rotor field causes the rotor to shift. The shift due to this interaction is the magnetic torque.

As spots start out at 100 units of brightness. One of the light spots will have to get 330 units brighter than the other for her to be able to tell the difference.

In the case of the first bulb, she noticed the difference when the right was 0.10 % brighter than the other one.

100  * 0.10 = 10

100 + 10 = 110

If we apply the same sense in the second case, one of the spots will have to be 0.10% brighter than the other.

300 * 0.10=30

300+30 = 330

In order to tell the difference, the other spot should be at 330 units of brightness.

The unit of brightness is Lumen. It is use to calculate the total amount of brightness emitted from a source over a unit of time.

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The final volume of the container that contains argon gas at 4058 mm of Hg is 93.80 L.

Given in the question

Initial pressure = 1.00 atm = P1

Initial volume = 500 L = V1

Final Pressure = 4058 mm of Hg = P2

To find

Final Volume = V2

Now, the unit of pressure is different for each case, So we need to convert mm of Hg into atmospheric pressure.

Using unitary method

760 mm of Hg = 1 atm

1 mm of Hg = 1/760 atm

1×4058 mm of Hg = 1/760 × 4058 atm

4.058 mm of Hg =  4058/760 atm

4.058 mm of Hg =  5.3 atm

Now as it is given in the question that the temperature remains constant, we can apply Boyle's law.

By using Boyle's law

P1V1 = P2V2

Put in the value

(1.0)(500) = (5.3)(V2)

V2 = 500/5.3

V2 = 93.80 L

Therefore, the final volume of the argon gas at 4058 mm of Hg is 93.80 L.

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A star is moving directly toward earth at a large fraction of the speed of light. The light we observe from this star compared to the light received from the same star if it were at rest relative to earth will be blueshifted.

In Physics, this phenomenon is called doppler shift as it refers to the change in frequency of the waves relative to an observer who is moving in relation to that source.

A star coming toward earth emits light that appears to have a shorter wavelength as compared to another source of light.

When the star is moving toward earth, its spectral line shift towards the blue end of the light series.

Since blue light has a shorter wavelength and this occurrence corresponds to the blue end of the light spectrum hence called blueshift.

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The electric field outside the balloon at all points in space is ω/ε where ω = Q/4πa^2.

To find the electric field(E) due to a symmetrical surface, Gauss’ Law is used, which is

E x (ds) = q/ε

Here ds = surface area of the surface

And Q = charge enclosed by the surface

As the balloon is spherical with radius a, its area will be 4πa^2

Putting the values in the above equation

E x 4πa^2 = Q/(ε)

E = Q/4πa^2(ε)

The surface charge density(ω) = Q/4πa^2

Hence

E = ω/ε

Thus, The electric field outside the balloon at all points in space is ω/ε where ω = Q/4πa^2.

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One-dimensional motion cannot have zero distance with a non zero displacement.

zero displacement occur but a nonzero distance not.

Distance is known as the total path taken by an object.

Displacement is known as the shortest distance taken or path taken.

There will be zero displacement but  a non zero distance.

In a circular motion because displacement is the shortest distance covered.

One-dimensional motion cannot have zero distance with a non zero displacement.

zero displacement occur but a nonzero distance not.

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E = 6.36 [tex]\frac{v}{c}[/tex]

The physical field that surrounds electrically charged particles and exerts a force on all other charged particles in the electric field, either attracting or repelling them, is known as an electric field (also known as an E-field. It can also refer to a system of charged particles' physical field. Electric charges and time-varying electric currents are the building blocks of electric fields. The electromagnetic field, one of the four fundamental interactions (also known as forces) of nature, manifests itself in both electric and magnetic fields.

Electrical technology makes use of electric fields, which are significant in many branches of physics. For instance, in atomic physics and chemistry, the electric field acts as an attractive force to keep atoms' atomic nuclei and electrons together.

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Bounce pass: Yes, he did the pass correctly

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The value of frictional force, using the y component of the applied force f can be found if the co- efficient of friction is known.

First split the applied force F into its vertical and horizontal components [tex]F_{y}[/tex] and [tex]F_{x}[/tex] respectively

[tex]F_{y}[/tex] = F sin θ

Since there is no vertical movement,

Σ [tex]F_{y}[/tex] = 0

[tex]F_{y}[/tex] + [tex]F_{N}[/tex] - mg = 0

[tex]F_{N}[/tex] = [tex]F_{y}[/tex] - mg

[tex]f_{k}[/tex] = [tex]([/tex]μ[tex])_{k}[/tex][tex]F_{N}[/tex]

Therefore, the frictional force [tex]f_{k}[/tex] can be found only the y components if the co-efficient is known.

Frictional force is the opposing force between two objects. It acts along the surface of the object.

Therefore, the value of frictional force, using the y component of the applied force f can be found if the co- efficient of friction is known.

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The dimensions that could be used for a scale model of a lot

25cm x 75cm

This is further explained below.

Generally, the equation for is  mathematically given as

A scale model will always employ the lowest possible size of a dimension. Since smaller sizes can be divided more readily, smaller sizes are the ones that are used for scale models.

The dimension is 25cm x 75cm

In conclusion, The dimensions that could be used for a scale model of a lot

25cm x 75cm

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The acceleration of the moving object can be defined by [tex]a_x = mv^{2} _0 * \lambda/(\lambda v_0t + m)^{2}[/tex].

In physics, acceleration is the rate at which the velocity of an object changes over time. They are vector quantities and accelerations. The direction of the net force acting on an item determines the direction of its acceleration.

Acceleration is the rate at which the speed and direction of a moving object change over time. A point or object is going ahead directly when it accelerates or decelerates.

the question is incomplete

An object moving in 1-dimension along horizonta surface denoted as the x-axis. The object is initially moving in the positive X-axis direction and the rate of energy decrease of the object is proportional to the square of its speed dE ~Avz In this equation A is a constant with units of kglm_ The speed of the object at b 0 s is Vo: What is the speed of the object as function of t > 62 HINT: since the object is moving along horizontal surface its energy is simply its kinetic energy: Substitute the equation for kinetic energy into the above differential equation for energy to determine the acceleration of the object:

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The mass of magnesium phosphate ppt is 2.432 g.

The net ionic equation is:

3MgCl₂ (aq) + 2Na₃(PO₄) (aq) -----> Mg₃(PO₄)₂ (s) + 3Na⁺ (aq) + 3Cl⁻ (aq)

Mass of magnesium chloride = Molar mass × Moles

                                                 = 0.125 × 0.222

                                                 = 0.02775g

Mass of sodium phosphate = Molar mass × Moles

                                              = 0.225 × 0.105

                                              = 0.023625g

According to reaction stoichiometry, magnesium chloride is the limiting reagent.

So, moles of magnesium phosphate that will be formed = 0.02775/3 = 0.00925

Hence, mass of magnesium phosphate ppt = Moles × Molecular weight

                                                                        = 0.00925 × 263

                                                                        = 2.432 g

Therefore, the mass of magnesium phosphate ppt is 2.432 g.

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