A cannon ball is shot horizontally off a 86.5 m hill with an initial horizontal velocity of 105 m/s. What horizontal distance will the cannon ball travel?

The expressions for the magnitude of the electrical field strength inside the cylinder, r is,

E = λ/2ε₀πr

What is electric field?

The electric field is the field, which is surrounded by the electrical charged. the electrical field is the electric force per unit charge. Here an extended , thin straight wire with linear charge density λ runs down the middle of a thin, hollow metal cylinder of radius R.

As the electric flux is the product of electric flux and the area of the cylinder. Thus,

                    φ = E(2πrL)   .................1

This electric flux also can be given as,

                            φ = λL/ε₀ ......................2

Where, ( λ) is that the linear charge density. On comparing both the equation, we get,

Ε(2πrL) = λL/ε₀

E = λ/ 2ε₀πr

The cylinder features a net linear charge density 2λ where λ is positive. Thus for this hollow cylinder, the electrical filed can be given as,

                   E = λ/2ε₀πr

For charge inside the cylinder, where r < R, are often expressed with the following expression,

                           E = λ/2ε₀πr

The charge density is that the measure of electric charge per unit area of a surface, or per unit volume of a body or field. The charge density tells us what proportion charge is stored in a particular field. Charge density are often determined in terms of volume, area, or length.

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The amount of metal in a closed cylindrical can that is 10 cm high and 4 cm in diameter if the metal on the top and the bottom is 0.1 cm thick and the metal on the sides is 0.05 cm thick is 8.8 cm.

The formula for calculating the volume of a cylinder is given below.

V = πr^2 h

Get the differential of the volume as shown:

dV = V/ h dh + V / r dr

V/ h = πr^2

V/ h  = 2  πr h

Now, the differential becomes

dV =  πr^2dh +  2πrh dr

Given the following parameters

dh = 0.1 + 0.1 = 0.2 cm

dr = 0.05 cm

h = 10 cm

r = 4 cm

Substituting the values in the above equation, we get

dV = 3.14(2)^2(0.2)  + 2(3.14)(2)(10)(0.05)

dV = 2.512 + 6.28

dV = 8.792 cm

dV = 8.8 cm

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The highway patrol car catches you after 125 sec

We know that,

s = ut + 1/2 at²

v = s / t

where,

s = Distance

u = Initial velocity

t = Time

a = Acceleration

Given that,

The patrol car has with a constant acceleration of 0.8 m / s²

Initial velocity of car = 0

Velocity of your vehicle = 50 m / s

After the traffic signal distance travelled by your vehicle and patrol car is equal and time taken is also equal.

For your vehicle,

s = v * t

For the patrol car,

s = ut + 1/2 at²

vt = ut + 1/2 at²

50 t = 0 + 1 / 2 * 0.8 * t²

t = 125 sec

Velocity is the distance travelled by an object with respect to time. Its unit is m / s

Therefore, the highway patrol car will catchup to you after 125 sec

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Ice has less density ( i.e. 0.9 g/cm^3 ) than water ( i.e. 1.0 g/cm^3) . So , an ice cube floats in water...

☘☘☘..

The correct answer is dependence of graph remain same. The Speed decreases,

We must first comprehend the difference between distance and displacement in order to understand average speed and average velocity. Distance is a scalar quantity that describes how much space an object has traveled. Displacement, which is a vector quantity, represents the smallest distance between two points. For instance, if a particle moves around a circle, its displacement is 0 but its distance traveled after one rotation is equal to the circle's circumference.

Any object's average speed is calculated by dividing its entire distance traveled by the total amount of time it took to complete that distance. An object's average speed indicates the average speed at which it will travel a given distance.

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The Displacement of the football after the two throws is 0m.

The Displacement of the football is dependent on the Initial and final position of the body. It is calculated as:

Displacement = Final position - Initial position

Since, the Initial position of the football is at Lamar Jackson and the Final position of the football is at Tavon Young after the first throw.

Now, After the second throw, the Initial position of the football is at Tavon Young and the Final position of the football is at Lamar Jackson.

So, after the Two throws, The Initial position of the football is at Lamar Jackson and Final position of the football is at Lamar Jackson.

Since, the Initial position and Final position is same. Hence the Displacement of the football is 0m.

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1. With N = Newtons, m = meters, we have

[tex]F = -kx \iff \mathrm N = -k (\mathrm m) \implies k = \dfrac{\rm N}{\rm m}[/tex]

N itself can be broken down according to Newton's second law,

[tex]F=ma \iff \mathrm N = \mathrm{kg} \, \dfrac{\rm m}{\rm s^2}[/tex]

so the dimension of the force [tex]F[/tex] is

[tex][F] = [M\cdot L\cdot T^{-2}][/tex]

(where M = mass, L = length, T = time) and hence the dimension of [tex]k[/tex] is

[tex][k] = \left[\dfrac{M\cdot L\cdot T^{-2}}{L}\right] = \boxed{[M\cdot T^{-2}]}[/tex]

2.

a. With N = Newtons, A = amperes, and m = meters,

[tex]F = \dfrac{k I_1 I_2}d \iff \mathrm N = \dfrac{k \,\mathrm A\,\mathrm A}{\rm m} \implies k = \boxed{\dfrac{\rm Nm}{\rm A^2}}[/tex]

b. The dimension of [tex]k[/tex] is

[tex][k] = \left[\dfrac{(M\cdot L\cdot T^{-2})\cdot L}{I^2}\right] = \boxed{[M\cdotL^2\cdot T^{-2}\cdot I^{-2}]}[/tex]

(where I = current, with "I" as in capital i)

The correct answer is a. 10 km/h.

b. The boat would move at 10 km/h at a 37-degree upstream angle to cross straight (into the current)

To be more precise, the rate of change in an object's position relative to a frame of reference and time is another way to describe velocity. It determines how quickly or slowly something is going. Consider a scenario in which there are two moving items. If both items are going in the same direction, it is simple to determine which one is moving faster than the other.

v = √v_x^2 +v_y^2

v = √((8 km/h)^2 + (6 km/h)^2)

=10 km/h

direction = θ = tan^-1 (opposite / adacrent)

= tan^-1 (6/8)

= tan^-1 (37)

= 37 degree down stream.

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The time at which both the balls will be at the same height is 0.6 s.

The height of the ball that is dropped from a building

= 15 m

The initial velocity of the ball that is thrown vertically upward from the ground = 25 m/s

The height of the ball that is dropped from a building is,

[tex]y _{t} = y _{i} + v _{i}t - \frac{1}{2} \: gt ^{2} [/tex]

[tex] - (15 \: m \: - h) = - \frac{1}{2} \: gt ^{2} [/tex]

[tex] h =15 \: m - \frac{1}{2} \: gt ^{2} [/tex]

The height of the ball that is dropped from a building is

[tex]15 \: m - \frac{1}{2} \: gt ^{2} .[/tex]

The height of the ball that is thrown vertically upward from the ground is,

[tex]y _{t} = y _{i} + v _{i}t - \frac{1}{2} \: gt ^{2} [/tex]

[tex] h =(25 \:) \: t \: - \frac{1}{2} \: gt ^{2} [/tex]

The height of the ball that is thrown vertically upward

[tex]from \: the \: ground \: is \: (25 \:) \: t \: - \frac{1}{2} \: gt ^{2} .[/tex]

The time at which both the balls will be at the same height is,

[tex]15 \: m - \frac{1}{2} \: gt ^{2} =(25 ) \: t \: - \frac{1}{2} \: gt ^{2} [/tex]

[tex]t \: = \frac{15}{25} [/tex]

t = 0.6 seconds

Therefore, the time at which both the balls will be at the same height is 0.6 s.

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A solute is a material that dissolves in a solution. The amount of solvent present in fluid solutions is larger than the amount of solute. The two most common examples of solutions in daily life are salt and water. Salt is the solute because it dissolves in water.

For KCl at 50 C.

42.6 g KCl x (35.0g H2O/100 g H2O) = 14.9 which means 14.9 g KCl can be dissolved in 35.0 g H2O. Because 19.7 g of KCl is more than what will dissolve, it will be saturated.

For Pb(NO3)2 at 50 C

The solubility of Pb([tex]NO_{3}[/tex])² Pb( [tex]NO_{3}[/tex] )² is 56.5 g/100 mL at 20∘C 20 ∘ C Thus, 100 mL of water can dissolve 56.5 g of Pb([tex]NO_{3}[/tex])² P b ( [tex]NO_{3}[/tex])²

The mass of the following solutes are

19.7 g of KCl

56.5 g of Pb([tex]NO_{3}[/tex])²

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The speed of light Slows because the lens has a greater refractive index.

In a vacuum, which has a refractive index of 1, light moves at a speed of about 300,000 km/s, but in water and glass, its speed drops to 225,000 km/s and 200,000 km/s, respectively.

Light moves. Slower in lens but faster in the air That’s because light refracts when it comes into contact with various materials.

The density of the medium affects the speed at which light propagates. The only thing that happens when a light beam enters glass from a vacuum (air) is that the wave is delayed (takes longer to go the same distance as a result of the delay).

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Correct question:

When light generated by a lamp in a microscope passes into a lens, the speed of the light _______ because the glass lens has a _______ refractive index than the air from which the light came.

The static frictional force acting on the block is equal to 90 Newton's.

Friction is a force that acts opposite to the direction of motion of body in order to oppose its motion. Frictional force is of two types -

The Static frictional Force - F[s] = μ[s] N

The Kinetic frictional force - F[k] = μ[k] N

Given in the question is a box of weight 120 N initially resting on a horizontal table. From the data given, we can write -

Weight of box [W] = 120 Newton

Coefficient of static friction (μ[s]) = 0.75

Coefficient of Kinetic friction (μ[k]) = 0.40

Horizontal push (F[h]) = 84 N

We know that -

F[s] = μ[s] N           [Static friction]

F[k] = μ[k] N           [Kinetic friction]

Now, initially the box is at rest so the opposite frictional force will be 0.  When a horizontal force of 84 Newton is applied on it, the static friction will try to oppose the motion. For forward motion of the block -

F[h] = F[s]

F[h] = μ[s]

84 = 0.75 x 120            (Normal Reaction [N]  = Weight)

84 = 90 ≥ 0

- 6 = 0

which is false.

This means that the static frictional force is greater than horizontal push and opposes the motion. The force due to static friction will only exist since, the body was able to move, so kinetic friction is of no use here.

So, the frictional force on the block will be = F[s] =  μ[s] N = 90 Newtons.

Therefore, the static frictional force acting on the block is equal to 90 Newton's.

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The average induced emf in this coil is 3.52 volts.

When a coil is kept inside a changing magnetic field, an emf/voltage is produced inside it which is given by the following formula:

EMF = NBA/t

Here N is the number of turns in the coil

B is the magnetic field in which the coil is kept

A is the area of the coil

T is the time during which the magnetic field reverses its direction

Putting the given values in the above equation,

E = 120 x 0.20 x 0.050/0.34

E = 3.52 volts

Thus, the average induced emf in this coil is 3.52 volts.

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The volume of the copper having a mass of 4.5 g and a density of 8.96 g/cm³ is 0.502 cm³

The mathematical representation of the density of a substance can be expressed as

Density = mass / volume

With the above formula, we can obtain the volume. Detail below.

The volume of the copper can be determined as illustrated below:

Density = mass / volume

8.96 = 4.5 / volume of copper

Cross multiply

8.96 × volume of copper = 4.5

Divide both sides by 8.96

Volume of copper = 4.5 / 8.96

Volume of copper = 0.502 cm³

Thus, the volume of the copper is 0.502 cm³

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The vertical distance by which the ball clear the crossbar is

As given in the question,

The distance between two vertical places is known as the vertical separation or vertical distance. There are numerous ways to express vertical position using vertical coordinates, including depth, height, altitude, elevation, etc.

By how much vertical distance does the ball clear the crossbar?

The vertical clearance distance between the crossbar and the ball as stated in the query,

A place kicker must make a football kick from a point 35 meters (38.276 yards) from the goal to win the game.

The 3.05 m-high crossbar must be passed by the ball.

The ball leaves the ground at an angle of 43.6 degrees and a speed of 20 meters per second.

9.8 m/s is the acceleration of gravity.

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The absorbance of ASP and Sal standard mixed solutions in different concentrations (0.05 to 30 and 0.02 to 8 ug/ml for ASP and SAL, respectively) was measured against solvent (H2O; ACN 90: 10v/v) as blank at 229 nm and 296 nm.

Calibration graphs were created by graphing absorbance versus concentrations and using regression equations.

The calibration graphs revealed that ASP and SAL follow Beer's law. ASP and SAL at values of 0.3-30 and 0.1-10 pg/ml, respectively. Statistical parameters were computed, demonstrating that Tcal values were greater than Ttab values. Good linearity was detected, with R2 values of (0.9996 and 0.9992, respectively) for ASP and SAL. The calibration plot's linear regression results indicate a solid linear connection between concentration fluctuation and response.

Regression analysis was used to determine linearity.

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Explanation:

The ball that dropped to the ground instead of being thrown will fall first since it only has one force pushing it: gravity.

The other ball has momentum from the horizontal throw so it's fighting against the gravity of the earth to keep going forward. Therefore, the ball dropped instead of thrown is the one that will strike the ground first.

The tension in the cord is 32 N if a 2-kg body attached to a 1-meter cord is whirled around the head.

F = (2 x [tex]4^{2}[/tex])/1

F = 2*16

F = 32N

In physics, tension is defined as the pulling force transmitted axially by a string, cable, chain, or another similar object, or by either end of a rod, truss member, or another comparable three-dimensional object.

Tension can also be thought of as the action-reaction pair of forces acting at each end of the aforementioned elements.

The tension formula is expressed as. T=mg+ma. Where g = the acceleration caused by gravity (9.8 m/s2) and T = tension (N or kg-m/s2).

The example would be drawing Water with a bucket from a Well.

One of the best illustrations of tension forces is the process of drawing water from a well. It uses a rope with one end fastened to the bucket handle and the other end free to move.

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1. The time taken to get to the shopping centre is 0.16 hour

2. The distance you can run in 3.4 hours is 27.2 Km

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

The time taken to get to the shopping centre can be obtain as follow:

Speed = distance / time

25 = 4 / time

Cross multiply

25 × time = 4

Divide both side by 25

Time = 4 / 25

Time = 0.16 hour

Speed = distance / time

Cross multiply

Distance = speed × time

Distance = 8 × 3.4

Distance = 27.2 Km

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Answer:

it has 5 valence electrons

Explanation:

nitrogen has a total of 5 valence so doubling that we would have a total of 10 valence electrons with 2 nitrogen atoms

When the block is 5.00 m from the incline's summit, its velocity is 3.04 m/s.

provided details:

s = 7.80 m

v = 3.8 m/s

if s = 5 m, v?

The block's acceleration must first be determined using the following equation:

Since v02 = 0 due to v2 = v02 + 2as,

3.8² = 2 a 7.8

a = 0.93

Consequently, the final speed is if s = 5m.

v² = 2 (0.93) (5)

= 9.26

v = √9.26

= 3.04 m/s

A small block has constant acceleration as it slides down a frictionless incline. The block is released from rest at the top of the incline, and its speed after it has traveled 7.80 m to the bottom of the incline is 3.80 m/s .What is the speed of the block when it is 5.00 m from the top of the incline? Please show the detailed formulas utilized to obtain the final answer.

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The electric potential energy U of the system is 11.39 * [tex]10^{-2}[/tex] J

We know that,

U = [tex]q^{2}[/tex] / 4 π ε₀ d

where,

U = Electric potential energy

q = Point charge

ε₀ = Permittivity of free space

d = Length

Given that,

q = 1.95 * [tex]10^{-6}[/tex] C

d = 0.45 m

ε₀ = 8.85 * [tex]10^{-12}[/tex] [tex]C^{2}[/tex] N [tex]m^{2}[/tex]

U = [tex]U_{1}[/tex] + [tex]U_{2}[/tex] + [tex]U_{3}[/tex]

U = 3  [tex]q^{2}[/tex] / 4 π ε₀ d

U = 8.99 * [tex]10^{9}[/tex] * 3 * ( 1.3 * [tex]10^{-6})^{2}[/tex] / 0.45

U = 11.39 * [tex]10^{-2}[/tex] J

Electric potential energy is the amount of energy that is needed to move a charge against an electric field.

Therefore, the electric potential energy U of the system is 11.39 * [tex]10^{-2}[/tex] J

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A man is sitting on a chair and exerting 100 N of force downward, while a spring beneath the chair exerts 150 N of force upward. The net force acting on the system is in the upward direction with a magnitude of 50N.

Force is the product of mass and acceleration which is dependent on the rate of change of momentum.

According to the given question,

Magnitude of force in the downward direction = 100N

Downward force = 100N

Magnitude of force in the upward direction = 150N

Upward force = -150N

Net force on the system = Upward force + Downward force

Net force on the system = -150N + 100N

Net force on the system = -50N

Hence, the net force acting on the system is in the upward direction with a magnitude of 50N.

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Answer:

(Question) Which of the following best describes the sum of all forces acting on an object?

(Answer) net force, which is a vector sum

(Question) Suppose a man is sitting on a chair and exerting 100 N of force downward, while a spring beneath the chair exerts 150 N of force upward. If you assign a negative value to the downward force, what is the net force of this system?

(Answer) 50 N

(Question) During a game of pool, a cue ball travels to the left with 70 N of force and collides with the four ball moving with a force of 50 N to the right. If you assign a negative value to the force moving to the right, what is the net force of this system?

(Answer) 20 N

(Question) Recall that the formula for momentum is: P=mv Which of the following correctly shows momentum being calculated?

(Answer) 45 kg*m/s=(9 kg) (5 m/s)

(Question) A hockey puck with a mass of 0.12 kg is traveling across the ice at a velocity of 150 m/s downfield. What is the momentum of the hockey puck?

(Answer) P=18 kg*m/s

Explanation:

I just finished the quick check UwU

Answer:

60m/h

Explanation:

Answer:

Solar energy is created by nuclear fusion that takes place in the sun. Fusion occurs when protons of hydrogen atoms violently collide in the sun's core and fuse to create a helium atom. This process, known as a PP (proton-proton) chain reaction, emits an enormous amount of energy.

Explanation:

Solar energy is created by nuclear fusion that takes place in the sun. Fusion occurs when protons of hydrogen atoms violently collide in the sun’s core and fuse to create a helium atom.

This process, known as a PP (proton-proton) chain reaction, emits an enormous amount of energy. In its core, the sun fuses about 620 million metric tons of hydrogen every second. The PP chain reaction occurs in other stars that are about the size of our sun, and provides them with continuous energy and heat. The temperature for these stars is around 4 million degrees on the Kelvin scale (about 4 million degrees Celsius, 7 million degrees Fahrenheit).

The decomposition of animal waste by anaerobic bacteria produces biogas methane . The biogas is then burnt fuel (carbon dioxide).

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The old kettle with a power rating of 1.4 kW and the new kettle with a power rating of 2.0 kW, due to this the time it takes to boil a fixed volume of water will decrease.

The amount of work finished in a specific length of time is a definition of power. Watt (W), which is derived from joules per second (J/s), is the SI unit of power. Horsepower (hp), which is roughly equivalent to 745.7 watts, is a unit of measurement sometimes used to describe the power of motor vehicles and other devices.

A person's power is always based on the amount of labor they put in, thus if they work differently at different times, their power will likewise vary. Here is when the idea of average power enters the picture.

According to the question,

Power=Work done/time

Hence, as the power will increase, the time will automatically decrease because both are inversely proportional to each other.

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Answer:

The water will boil in less time.

Answer:Why is important for scientists to write detailed procedures?

Explanation: it lets someone else duplicate your experiment exactly

The correct answer is d = 312.5 m.

These formulas are used to describe an object's linear motion. Positive acceleration is present if the thing accelerates.

The equations utilised are as follows:

v = u + at

d = ut + 0.5 at^2

v^2 = u^2 + 2 ad

initial velocity u = 25 m/s

acceleration a = - 1 m/s^2

V is equal to zero in the end.

Let d represent the distance covered.

Now, with the third motion equation,

v^2 = u^2 + 2ad

0 = 25^2 - 2 × 1d

d = 312.5 m

The area between the line on the graph and the time axis can be used to calculate the distance travelled.

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Answer:

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