a 1,217 kg suv moving at 20.8 m/s strikes a 1,087 kg car moving at 14 m/s. their bumpers become locked and they continue to move as one mass. what is their final velocity as they move as a single mass?

If the hill's circumference is 30 meters. The centripetal force equals the gravitational force at 9.39 m/s.

Any force that changes the direction of motion towards to center of either a circular motion is known as a centripetal force. The part of the force that produces the rotational motion is the part that is orthogonal to the velocity.

Force acting is used to maintain an object moving in a circle due to gravity. Since gravity generally behaves opposed to motion, it has no effect on an item in a circular path.

Radius, r = 30 m

speed = v.

(Fr = (mv^2)/r

μk mg& = (mv^2)/r

v =√(μ_k gr)

v = √(0.30×9.80×30)

v = 9.39 m/s

To know more about centripetal force visit:

https://brainly.com/question/11324711

#SPJ4

This is because the water is in equilibrium, meaning that the forces acting on it are balanced. In this case, the force on the left side is exerted by the water on the right side, and vice versa.

Based on this, the pressure at point b will be equal to the pressure at point c. Pressure is defined as force per unit area, and since the magnitude of the force is the same on both sides, the pressure will also be the same.

It is important to note that the only assumption that can be made here is that the water is at rest. If water is in motion, the forces and pressures will be different.

to know more about the magnitude of the force here:

brainly.com/question/30033702

#SPJ4

Answer:

95

Explanation:

because x × au= 69 +26

which means planet x is destroyed

The height of the object when it first started falling is 0 meters.

The equation used to calculate the height of an object in freefall is h = (1/2)gt2, where h is the height, g is the acceleration due to gravity (9.8 m/s2) and t is the time in seconds.

What is velocity?

Velocity is a vector quantity that measures the rate and direction of an object's motion. It is the rate at which an object's position changes over time, measured in meters per second (m/s).

Since the starting velocity is 0, the height when it first started falling is 0.

h = (1/2)gt2

h = (1/2)(-9.8 m/s2)(5s)2

h = 0 m

Therefore, The height of the object when it first started falling is 0 meters.

To learn more about velocity

Here: https://brainly.com/question/80295

#SPJ4

The bounce height on the 4th bounce is 1.5 m.

The ball will lose some energy with each bounce, so the bounce height will decrease each time.

Assuming the ball starts from rest and the collisions are perfectly elastic, we can use the conservation of energy to find the bounce height on each bounce.

On the first bounce, the ball will reach a height of:

h1 = mgh/2

where m is the mass of the ball, g is the acceleration due to gravity, and h is the height of the first bounce.

On the second bounce, the ball will reach a height of:

h2 = (mgh/2) / 2

On the third bounce, the ball will reach a height of:

h3 = (mgh/2) / 4

On the fourth bounce, the ball will reach a height of:

h4 = (mgh/2) / 8

So the fourth bounce height will be 1.5 m.

For more questions like Bounce height click the link below:

https://brainly.com/question/14778016

#SPJ4

The runaway star is farther away from Earth than the sun. the sun is closer to Earth than the runaway star if it seems brighter than the star and the star is 90 times bigger than the sun.

An exceptionally high proper motion, known as a runaway star, is a star that was supposed to have been ejected from a nearby binary system when its companion star exploded supernova. Beyond the Milky Way, these runaway stars seem to be widespread, especially in massive galaxy clusters.

Astronomers have found hundreds of billions of runaway stars in the Virgo cluster. The Milky Way's sun and all of its stars are revolving around its nucleus. Although there are some little local motions within this broader stream of stars, it is largely orderly. Compared to the sun, the runaway star is closer to Earth.

For more details regarding runaway star, visit:

https://brainly.com/question/13632709#

#SPJ4

The average velocity of the driver is 80.7 fps. The result is obtained by dividing the displacement by the change in time.

Average velocity is the displacement or change in position of an object (∆x) divided by the change in time (∆t). It can be expressed as

V avg = Δx/Δt

Where

The formula of position can be counted as

x = vt

A vehicle travels at

Find the average velocity in feet per second!

We find the position x₁ and x₂.

x₁ = v₁t₁ = 50(3) = 150 mile

x₂ = v₂t₂ = 25(0.5) = 12.5 mile

The average velocity would be

V avg = Δx/Δt

V avg = (x₁ - x₂)/(t₁ - t₂)

V avg = (150 - 12.5)/(3 - 0.5)

V avg = 137.5/2.5

V avg = 55 mph

V avg = 55 × 5280/3600 fps

V avg = 80.7 fps

Hence, the average velocity of the vehicle is 80.7 feet per second.

Learn more about average velocity here:

brainly.com/question/12322912

#SPJ4

The speed of the two balls when striking the ground will be the same. Both balls will have the same initial velocity when thrown, and the only force acting on them is gravity.

The speed of an object is the rate of change of its position relative to a frame of reference, and is a function of time. It is a scalar quantity and is measured in meters per second (m/s). The speed of an object can be calculated by dividing the distance covered by the object by the time taken. An object's speed can be increased or decreased by applying an external force.

Here the acting acceleration is gravity

So,

v₁ - u₁ = gt

v₂ - u₂ = gt

As time and and gravity is same

v₁ - u₁ = v₂ - u₂

As Initial velocity is 0

v₁ = v₂

Thus, velocity of both the balls will be same when hitting the ground.

To learn more about speeds

https://brainly.com/question/13943409

#SPJ4

The Hubble space telescope is a reflecting telescope.

Mirrors are used by reflecting telescopes, also called reflectors, to collect and concentrate light. The HST features an eight-foot diameter primary mirror and a secondary mirror that focuses the light collected by the primary mirror onto the telescope's scientific equipment. The HST is a Cassegrain telescope, allowing for a compact design due to its concave primary mirror and convex secondary mirror.

Reflecting telescopes are frequently chosen over lens-based ones for space-based telescopes because lenses are more susceptible to distortion and poor image quality caused by thermal expansion and contraction than mirrors are. The HST was put into orbit in the year 1990 and has since been utilised to produce a number of ground-breaking astronomical discoveries.

Read more about the Hubble space telescope on:

https://brainly.com/question/2837296

#SPJ4

The orbital speed of a satellite that is orbiting the earth at an altitude where the gravitational acceleration is 8.70 m/s^2 is 7.68×10^3m/s.

Given the centripetal acceleration of satellite (a) = 8.70 m/s^2

The mass of earth (M) =  5.98×10^24 kg

Let the radius of satellites orbit = R

The satellites orbital speed = v

We know that the satellite's centripetal acceleration (a = v²/R ) is equal to its gravitational acceleration.

v²/R = GM/R² here G is the gravitational constant 6.674×10-11 m3⋅kg-1⋅s-2

v² = GM/R

From centripetal acceleration we have R = v²/a. Then,

v² = GMa/v²

v = (GMa)^1/4

v = (6.674×10^-11 x 5.98×10^24 x 8.70)^1/4 = 7.68×10^3m/s

Hence the orbital speed of a satellite is 7.68×10^3m/s

To learn more about speed click here https://brainly.com/question/28224010

#SPJ4

The clock will run fast when the elevator is accelerating downward.

A pendulum clock is a timepiece that keeps time by swinging a weight called a pendulum. Because a pendulum is a harmonic oscillator, it has the advantage of swinging back and forth in a precise time interval that is based on its length and resists swinging at other rates.

The forces experienced in an elevator are applied in this way to Newton's second law. You feel heavy when moving upwards and lighter when moving downwardly when you accelerate. You would feel weightless if the elevator cable snapped since you and the elevator would both be descending at the same speed.

Learn more about acceleration here:

brainly.com/question/14701920

#SPJ4

The frequency of the sound heard is the resonant frequency of the tube, which is determined by the length of the tube. The resonant frequency occurs when the length of the tube is equal to an integer multiple of one-fourth of the wavelength of the sound.

what is length ?

Length is a measurement of distance, typically used to describe the size of an object or the distance between two points. It is typically measured in meters, centimeters, millimeters, kilometers, feet, inches, and miles. In mathematical terms, length is a scalar quantity that represents the magnitude of a line segment.

Length can also be used to describe the amount of time that has passed, such as in the phrase "the length of a year." Length is an important concept in many areas of science, engineering, and mathematics, as it is used in determining the size and shape of objects, distances between points, and the rate at which things move.

To learn about more length.

https://brainly.com/question/2217700

#SPJ4

The correct answer is c. 758,000,000. The 7.58e8 is the scientific notation, also known as exponential notation, which is a way of expressing very large or very small numbers

The letter "e" in a decimal number, indicates scientific notation. The "e" stands for the exponent of 10, and the number following it represents the power to which the number 10 is raised.

7.58e8 in scientific notation represents 7.58 x 10^8  .In this case, 8 is the exponent, meaning that the number 7.58 is multiplied by 10 to the power of 8, or 10^8, resulting in 758,000,000.

Using exponential notation, we may delete zeros and represent a number in a compact form by taking use of the fact that multiplication or dividing by multiples of 10 moves the decimal point of a number to the left or right.

To know more about exponent visit:

brainly.com/question/5497425

#SPJ4

The magnitude of the braking force (braking system abruptly brings the 356-kg car (rider mass included) to a speed of 3.6 m/s over a distance of 6.22 meters.) applied to cray-zee's car = 18,231 N

The force that slows the car when the driver depresses the brake pedal is known as the braking force.

It is impossible to directly quantify this well-known force since it operates on tires that are in touch with the ground, without which nothing would be possible.

It is still feasible to determine its severity, though. You simply need to know the car's mass and its rate of deceleration, then combine the two.

W = [tex]\frac{1}{2}[/tex] mv₁² -  [tex]\frac{1}{2}[/tex] mv₀²

= [tex]\frac{1}{2}[/tex] (356) (25.5)² - [tex]\frac{1}{2}[/tex] (356) (3.6)²

= 115,744 - 2,306

= 113,438 J

Hence, the magnitude of the braking force:

W = F x d

113,438 J = F x 6.22

F = 18,231 N

Learn more about force here: https://brainly.com/question/12785175

#SPJ4

The car can travel 28 miles on one gallon of gas. Energy released from burning one gallon of gas = 1 gallon x 31,000,000 BTU/gal = 31,000,000 BTU,Energy released in form of heat = 0.9 x 31,000,000 BTU = 27,900,000 BTU,Work required to make the car go one mile = 0.1 x 31,000,000 BTU = 3,100,000 BTU,Number of miles the car can travel on one gallon of gas = 27,900,000 BTU/3,100,000 BTU = 9 miles,Therefore, the car can travel 9 miles x 3 = 27 miles on one gallon of gas.

What is the miles ?

Miles are a unit of measurement used to measure distances. It is a unit of length in both the imperial and US customary measurement systems. One mile is equal to 1.609 kilometers, 1,760 yards, or 5,280 feet. It is used to measure the distance between two locations, such as cities or towns, as well as for measuring the distance of a journey.

To learn more about miles

https://brainly.com/question/30211951

#SPJ4

Answer:

The angle of refraction be 3.21°

Explanation:

Let the angle of refraction = r

Given,

Angle of incidence, i = 0.5°

Refractive index of amber, n = 1.55

Refractive Index can be calculated by  n = sin i/sin r

⇒ n = sin i/sin r

⇒ 1.55 = sin 0.5°/sin r

⇒ sin 0.5° =  0.0087

⇒ 1.55 =  0.0087/ sin r

⇒ sin r = 0.0087/1.55

⇒ sin r = 0.0056

⇒ r =  sin−1(0,0056)

⇒ r = 3.21°

Time to impact the ground is 0.45 seconds. It will land 0.56 meters away from the table. The bullet appears to be traveling straight forward without changing directions, according to the horizontal speed.

By measuring the ball's diameter d and dividing it by the time t it takes for it to cross the photogate, one can also calculate the ball's starting horizontal velocity. Therefore, Vo = d/t.

Typically, horizontal velocity is defined as horizontal displacement divided by time, expressed in units like meters per second or miles per hour. Simply put, displacement is the distance an object has traveled since leaving a starting location.

y=Vyi t + 1/2 gt²

  1 = o+ 1/2 ×9.8×t²

  1=4.9 ×t²

t²= 1/4.9= 0.204081633

==> t = 0.45 sec

x= Vx× t

Here

Vx = 1.25 m/sec

t= 0.45 sec

x=  1.25 × 0.45 = 0.56 m

To know more about horizontal speed visit:

https://brainly.com/question/20522350

#SPJ4

The wave's speed is 85 m/s if its wavelength is 5 meters and its frequency is 17 Hz.

A waveform signal that is propagated in space or down a wire does have a wavelength, that is the separation between two equal places (adjacent crests) in the consecutive cycles. This length is typically specified in wireless systems in metres (m), centimetres (cm), or millimeters (mm) (mm).

given data,

frequency of the wave v = 17 Hz

Wavelength of the wave = 5m

speed of the wave s = ?

Calculating the speed of wave

We know that,

Speed= frequency × wavelength

Thus,

s= 17 × 5 m/s

s= 85 m/s

To know more about wavelength visit :

https://brainly.com/question/2288272

#SPJ4

Hold the pistol high mostly on grip to ensure that such recoil is sent straight back to the arm and hands. This enables more accurate shooting and better repeat shots. When two hands are available, use them.

Simply said, recoil is the gun's response to the expression of energy that is produced in the barrel and released from the muzzle. The hammer, which is located inside the gun's receiver, depresses your firing pin only when trigger is squeezed with enough force and pop the fuse on the round's end.

The recoil is a backward motion that typically results from a force or contact. A gun will recoil when it moves rearward due to momentum. Mom might retreat from shock rather than momentum after hearing about your go to the shooting range.

To know more about recoil visit :

https://brainly.com/question/29509240

#SPJ4

The maximum volt-ampere(va) is 0.40 m/s.

An influence that can alter an object's motion is called a force. A force can cause an object with mass to change its velocity or accelerate. (for example, moving from a state of rest). Intuitively, a push or a pull can also be used to describe force.

Given,

mass=0.500 kg

force=8.00 n/m

amplitude= 10.0 cm

The maximum velocity of the mass can be calculated using the equation:

max v= A * ω

where A is the amplitude of the motion (in meters) and ω is the angular frequency of the motion (in radians per second).

We can find angular velocity using the equation:

ω = sqrt(k/m)

where k is the force constant of the spring (in newtons per meter) and m is the mass of the object (in kilograms).

Substituting in the given values:

ω= sqrt(8.00 N/m / 0.500 kg) = 4 rad/s.

A = 0.10 m (converting the amplitude from cm to m)

So,v_max = A * ω = 0.10 m * 4 rad/s = 0.40 m/s.

To know more about force, visit:

brainly.com/question/13191643

#SPJ4

An object floats and sinks in water based on the density of that particular object.

The force that makes objects float is called buoyancy. It is the pressure placed on a surface that is partially or completely submerged in a fluid. Differences in pressure acting on opposing sides of an object submerged in a static fluid produce buoyancy.

An object that floats in water, such as a piece of wood or a rubber duck, has a lower density than the water it is in. This means that the weight of the object is less than the buoyant force acting on it, which is the upward force exerted by the water on the object.

An object that sinks in water, such as a rock or a metal bar, has a higher density than the water it is in. This means that the weight of the object is greater than the buoyant force acting on it, which means that the buoyant force is not sufficient to counteract the weight of the object and it sinks.

To know more about buoyant force, visit:

brainly.com/question/21990136

#SPJ4

d. radar imaging by the Magellan spacecraft

The surface features of venus were mapped with radar imaging by the Magellan spacecraft.

Radar was used to scan the scorching surface by NASA's Magellan probe, which completed a five-year mission to Venus in 1994. Magellan observed a region with intense volcanism. The orbiter observed a surface that was geologically speaking quite young, recently altered, and dotted with long chains of high mountains.

Venus has "paterae," or craters and volcanic calderas, that are named after notable, real women. All of Venus' features—there are just three exceptions—have female names. They are Maxwell Montes, Alpha Regio, and Beta Regio, named for the early radar pioneer James Maxwell.

To know more about surface features visit:

https://brainly.com/question/27786913

#SPJ4

The sound level of intensity would be "61.7 dB" if only one weapon were fired. Sound volume. The answer to the query is. the shooting of two identical weapons.

A loud noise is 80 dB or more. It's comparable to the commotion on a crowded city street. It is a loud noise level, and when you're exposed to it during longer periods of time (more than 8 to 10 hours per day), it could damage your hearing.

Decibels are used to measure loudness (dB). Loudness grows rapidly as decibel levels climb. A 10-dB increase equals a 10-fold increase in volume. Therefore, a vacuum cleaner's 80 dB sound is 10 times higher than a phone's 70 dB sound and 100 times higher than a standard 60 dB sound.

To know more about sound visit :

https://brainly.com/question/29707602

#SPJ4

The distance is inversely proportional to the magnitude of the gravitational force. As the distance increases, the magnitude of force decreases.

The gravitational force on an object can be defined as the force of attraction or the attractive force which attracts all the physical forms which are having some mass. Gravitational force is by far the weakest recognized natural force of all.

Since, the gravitational force is inversely proportional to the square of the separation between the force and the object distance between the two interacting objects, there is more separation distance will result in weaker gravitational forces of attraction. So, as the two objects are separated from each other, the force of gravitation attraction between them also decreases.

Learn more about Gravitational force here:

https://brainly.com/question/12528243

#SPJ1

Answer:

Explanation:

To determine if the shooter could have come from the penthouse, we need to calculate the angle of elevation from the penthouse to the tree. We can use trigonometry to do this.

We know that the height of the penthouse is 85 feet, and the distance from the penthouse to the tree is 60 feet. We can use the tangent function to calculate the angle of elevation:

tan(angle of elevation) = opposite / adjacent

opposite = height of penthouse = 85 feet

adjacent = distance from penthouse to tree = 60 feet

tan(angle of elevation) = 85 / 60

angle of elevation = arctan(85/60)

Now we have the angle of elevation, we can determine if the shooter could have come from the penthouse. If the angle of elevation is greater than 90 degrees, the shooter would have had to shoot at an impossible angle, and the shots could not have come from the penthouse.

In this case, the angle of elevation is approximately 62.9 degrees, which is less than 90 degrees. So the shots could have come from the penthouse.

It's important to note that this is a simplified calculation based on the data provided, and it is not a conclusive evidence. A detailed investigation is required to gather all the facts and evidence before determining the shooter's location.

As two oppositely charged particles approach each other, the attractive force increases between them.

Only attraction is possible with gravitational force. It can't be disgusting. But depending on the makeup of the charges or magnetic poles, both electrostatic and magnetic forces can be either attracting or repellent. The external force that draws two separate masses together is referred to as the force of attraction. Gravitation, magnetism, & electric forces are a few examples.

A force that attracts the protons or positive parts of one molecule to the electrons or negative parts of another molecule is known as an intermolecular force. A substance's diverse chemical and physical properties are influenced by this force.

To learn more about attractive force visit:

https://brainly.com/question/2396709

#SPJ4

The magnetic flux is 9.12Wb, the magnetic flux, if the surface is horizontal, is 0, the magnetic flux in the area is 19 and angle 54 is 5.08Wb.

(a) The magnetic flux through a flat surface of area 19 cm2 if the surface is vertical can be calculated using the formula

Φ = BA, where Φ is the magnetic flux, B is the magnetic field strength, and A is the area of the surface. In this case, the magnetic flux is

0.48T ×19 cm² = 9.12 Wb.

(b) The magnetic flux through a flat surface of an area 19 cm2, if the surface is horizontal, is 0 Wb. This is because the magnetic field is directed vertically upward, so it will not be able to penetrate through a horizontal surface.

(c) The magnetic flux through a flat surface of area 19 cm2, if the surface is at an angle of 54° with the horizontal, can be calculated using the formula Φ = BAcosθ, where θ is the angle between the magnetic field and the surface. In this case, the magnetic flux is

0.48T ×19 cm²× cos(54°) = 5.08 Wb.

Learn more about flux:

https://brainly.com/question/29221352

#SPJ4

The total change in energy of the cube of water is -19228.8 J.

The ability to generate a force that causes an item to move is what is meant by the definition of energy as the "power to accomplish work." Although the definition is unclear, the meaning is clear: energy is simply the force that propels things. Potential and kinetic energy are the two kinds of energy.

the solution is -

velocity is also given but if we look for final states so both times it is at rest.

Since it is rest at both positions so the change in energy = m×c×dt + m×g×dz.

Here m = 2 kg.

C = 4185.5 j/kg k.

dt = 22 - 25 = -3

dz = 300 - 0 = 300 m

Total change in energy = -25114.8 + 5886 = -19228.8 J.

To know more about energy visit :

https://brainly.com/question/2409175

#SPJ4

According to question, The speed of sound in air is 342.85 m/s.

the speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.Speed tells us how fast something or someone is travelling.

the solution is -

distance d = 2.4 km = 2400 m , time t = 7s

speed of sound = distance/time

speed of sound = 2400/7

speed of sound = 342.85 m/s

To know more about speed visit :

https://brainly.com/question/28484577

#SPJ4