a 6.2 kg object heading north at 3.0 m/s collides with an 8.0 kg object heading west at 3.5 m/s. if these two masses stick together upon collision, what is their velocity after collision?

Answer:

112 N at 239°

Explanation:

Applying,

Pythagoras theorem,

a² = b²+c².................. Equation 1

Where a = net force

From the question,

Given: b = 57.6 N, c = 95.7 N

Substitute into equation 1

a² = 57.6²+95.7²

a² = 3317.76+9158.49

a² = 12476.25

a = √12476.25

a = 111.7 N

a ≈ 112 N

Then the direction is given as

∅ = tan⁻¹(c/b)........... Equation 2

∅ = tan⁻¹(95.7/57.6)

∅ = tan⁻¹(1.66)

∅ = 58.9°

∅ ≈ 59°

Since the angle is in the third quadrant,

∅' = 59+180

∅ = 239°

Hence the right answer is

112 N at 239°

Answer:

true

Explanation:

i know this im in 6th grade

This is True. Gases spread around freely and take up any available space. For example, there is oxygen. Oxygen is a gas we breathe in and spreads around freely, taking up any space.

The bag's velocity when a bag is dropped from a hovering helicopter is 15.68m/s

Its initial velocity is zero. In a free-falling body, the value of the final velocity is obtained through the equation

                                           Vf =u + gt

u = o ( because the bag is dropped, so it falls starting from rest)

Vf = gt

u is initial velocity

Vf is final velocity

t is time

where g is the acceleration due to gravity, 9.8 m/s².

using above values we get

 Vf = (9.8 m/s²)(1.6s)

= 15.68m/s

The bag's velocity when a bag is dropped from a hovering helicopter is 15.68m/s

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The intensity of sound is inversely proportional to the square of the distance from the source. The intensity of sound at 4 m away from the source is approximately \(0.993W/m^{2}\) (watts per square meter).

The intensity of sound is defined as the power per unit area. According to the inverse square law for sound propagation, the intensity of sound is inversely proportional to the square of the distance from the source. Mathematically, it can be expressed as

\(I=P/(4\pi r^{2})\)

where I is the intensity, P is the power, and r is the distance from the source.

Given that the power of sound at the source outlet is 100 W and the distance from the source is 4 m, we can substitute these values into the formula. Thus, we have

\(I = 100 W / (4\pi (4 m)^2)\)

Simplifying this expression, we find that the intensity of sound at 4 m away from the source is approximately \(0.993W/m^{2}\) (watts per square meter).

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Answer:

I think it's this A resource that is replenished at a rate slower than it is used

Any resource that exists in finite quantities (there is only a certain amount)

Answer:

A resource that is difficult to recover.

Answer:

Facts are simple, basic observations that have been shown to be true. Laws are generalized observations about a relationship between two or more things in the natural world.

Explanation:

The law can be based on facts and tested hypothesizes, according to NASA.

Answer:

Mass: Beam balance

Weight: Beam balance

Length: Ruler

Time: Clock

Density of liquid: Hydrometer

Both stones spend the same amount of time in the air if air resistance is neglected. The time spent in the air is determined by the vertical motion of the stone, which is governed by the acceleration due to gravity (g).

Vertical motion refers to the movement of an object along the vertical axis, either upwards or downwards. It can be described by using the variables of height, velocity, and acceleration. Height refers to the distance between the object and the reference point, such as the ground. Velocity is the rate of change of height and acceleration is the rate of change of velocity.

Vertical motion is an important concept in physics and is widely used in various fields such as ballistics, space travel, and amusement park rides. Understanding vertical motion allows us to predict the motion of objects and make calculations related to height, velocity and acceleration.

There are different types of vertical motion such as projectile motion, where an object is thrown or fired at an angle and falls back to the ground under the influence of gravity. Another type of vertical motion is free-fall, where an object is dropped or falls vertically without any external forces acting on it.

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Answer:

Science of Genetics..

Explanation:

Through his careful breeding of garden peas, Gregor Mendel discovered the basic principles of heredity and laid the mathematical foundation of the "science of genetics".

Gregor Johann Mendel related to the science of genetics.

Gregor Johann Mendel was an Austrian monk and scientist born on July 20, 1822, and died on January 6, 1884. Mendel is known for his groundbreaking work on pea plants, which led him to discover the fundamental laws of inheritance, known as Mendelian genetics.

He conducted a series of experiments on pea plants in the mid-19th century, observing the transmission of traits from one generation to the next and discovering the principles of dominant and recessive inheritance. Mendel's work was largely unrecognized during his lifetime but later became the foundation of modern genetics and greatly influenced the development of the field of biology.

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Answer:

Thermal energy in the building decreases.

Explanation:

Answer:

A - Thermal energy in the building decreases.

Explanation:

Answer:

C

Explanation:

( I dun know how to explain it ‍ but i do know that the answer is C. Saw it in a past paper.)

The semicircular canals are specialized to assess rotational acceleration of the head, while the otolith organs are specialized to detect linear acceleration and static position of the head relative to the gravitational axis. The semicircular canals contain fluid-filled channels arranged in three perpendicular planes, allowing them to detect angular movements of the head. On the other hand, the otolith organs consist of small calcium carbonate crystals suspended in gelatinous fluid, which respond to linear accelerations and changes in head position relative to gravity.

The semicircular canals are responsible for detecting rotational acceleration of the head. They are three fluid-filled canals positioned in different planes: the horizontal canal, anterior (superior) canal, and posterior (inferior) canal. Each canal has a bulge at one end called the ampulla, which contains hair cells that detect fluid movement. When the head rotates, the fluid within the canals also moves, bending the hair cells and signaling the brain about the rotational acceleration.

The otolith organs, consisting of the utricle and saccule, are specialized in detecting linear acceleration and static position of the head relative to the gravitational axis. These organs contain small calcium carbonate crystals called otoliths that are embedded in a gelatinous layer. When the head accelerates linearly or changes position relative to gravity, the otoliths move, causing the gelatinous layer to shift and stimulating the hair cells. This signals the brain about changes in linear acceleration and head position, including tilting or linear movements such as walking or riding in a vehicle.

In summary, the semicircular canals are designed to detect rotational acceleration, while the otolith organs are specialized in detecting linear acceleration and static position changes of the head relative to the gravitational axis. This division of sensory functions allows for a comprehensive assessment of different types of head movements and orientations in space.

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Answer:

The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased.

Explanation:

Answer:

9 x 10 ^9 yrs    ( 9 billion years <=====older than Earth !)

Explanation:

.25 = 1.0 (1/2) ^n

.25 / 1.0 =   = (1/2 )^n

log .25 =  n log 1/2

n = 2 half lives

2 * 4.5 x 10^9 =   9 x 10 ^ 9 yrs

In Rutherford's famous set of experiments, the fact that some alpha particles were deflected at large angles indicated that the atom contains a dense, positively charged nucleus.

Rutherford conducted experiments where he bombarded a thin gold foil with alpha particles. According to the prevailing model at the time, the Thomson model, it was believed that the positive charge in an atom was spread uniformly throughout the atom, much like plum pudding.

However, Rutherford's observations revealed that some alpha particles experienced significant deflections and even bounced back at large angles. This unexpected result could not be explained by the Thomson model.

Rutherford proposed a new atomic model known as the nuclear model, suggesting that the atom consists of a tiny, dense, positively charged nucleus at the center and the majority of the atom is empty space. This explained the deflection of alpha particles, as they were repelled or deflected by the positive charge concentrated in the nucleus.

The deflection of alpha particles at large angles indicated the presence of a compact and positively charged nucleus within the atom, leading to a fundamental revision of the understanding of atomic structure.

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Answer:

v=wavelength x f = 2 x 3 = 6 m/s

Explanation:

The speed of a wave is the product of its frequency and wavelength. The speed of the periodic wave with the frequency of 3 Hz and wavelength of 2 m is 6 m/s.

Frequency of a wave is the number of wave cycles per unit time. It is the inverse of the time period of the wave. Frequency is inversely proportional to the wavelength  of the wave.

The relation between speed, frequency and wavelength of a wave is given by the expression as written below:

c =νλ

where, c is the speed, ν be the frequency and λ be the wavelength.

Given that ν = 3 Hz or 3 s⁻¹

and λ = 2 m

then speed c = 2 m × 3 Hz = 6 m/s

Therefore, the speed of the periodic wave is 6 m/s.

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The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)

The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.

To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).

The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).

In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).

Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.

If co > co_critical, the system is considered overdamped (Option E).

If co = co_critical, the system is considered critically damped (Option D).

If co < co_critical, the system is considered underdamped (Option C).

Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.

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When a 200 N force is applied to the spring, it will be displaced by 20 cm from its equilibrium point.

To find the displacement of the spring when a 200 N force is applied, we can use Hooke's Law.

The formula for Hooke's Law is:
F = k * x
where F is the force, k is the spring constant, and x is the displacement from the equilibrium point.

First, we can find the spring constant (k) using the given information:
100 N = k * 10 cm

k = 100 N / 10 cm
k = 10 N/cm

Now that we have the spring constant, we can find the displacement (x) when a 200 N force is applied:
200 N = 10 N/cm * x

x = 200 N / 10 N/cm
x = 20 cm

So, when a 200 N force is applied to the spring, it will be displaced by 20 cm from its equilibrium point.

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Answer:

Citizens and neighborhood.

Answer:

A

Explanation:

Givens

d = 100 meters plus the depth of the well

d = 100 + x                          where x is the depth of the well.

vi = 0 m/s                           The object is dropped. It was not thrown.

t = 5 seconds

a = 9.81 m/s^2

formula

d = vi*t  +  1/2 a t^2

solution

100 + x = 0 + 1/2 * 9.81 * 5^2

100 + x = 122.625             Subtract 100 from both sides

x = 122.625 - 100

x = 22.6  m

The well is 22.6 meters deep.

Therefore, the maximum elevation the rocket reaches is approximately 1322.9 meters.

define elevation ?

Elevation refers to the vertical distance or height of a location or object above a reference point, such as sea level or ground level. It is often used in geography, surveying, and navigation to describe the height or altitude of a place or feature relative to its surroundings.

The maximum elevation the rocket reaches can be found by first calculating its velocity at the instant the motor turns off and then using the kinematic equation for displacement:

vf = vi + at

where vf is the final velocity, vi is the initial velocity (which is 0 m/s since the rocket starts from rest), a is the acceleration (20 m/s^2), and t is the time interval during which the acceleration is applied (4 s).

vf = 0 + 20 m/s^2 * 4 s = 80 m/s

Now, we can use the kinematic equation for displacement:

Δy = viΔt + 1/2at^2

where Δy is the displacement (or change in elevation), vi is the initial velocity, a is the acceleration (which is now the acceleration due to gravity, -9.8 m/s^2), and t is the time interval during which the object moves (which is the time from when the motor turns off until the object reaches its maximum elevation).

We know that the initial velocity is 80 m/s and that the displacement we are looking for is the maximum elevation. We can solve for t by setting vf to 0 and solving for t:

0 = 80 m/s + (-9.8 m/s^2) * t

t = 8.16 s

Now we can use this value of t to find the maximum elevation:

Δy = viΔt + 1/2at^2

Δy = (80 m/s)(8.16 s) + 1/2(-9.8 m/s^2)(8.16 s)^2

Δy = 1322.9 m

Therefore, the maximum elevation the rocket reaches is approximately 1322.9 meters.

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Reverberation, in psychoacoustics and acoustics, is a persistence of sound after the sound is produced

Explanation:

I think it is right hope its helps

Answer:

D. A single sound undergoes several reflections due to multiple reflecting surfaces.

Explanation:

Sometimes, the source of a sound is surrounded by multiple reflecting surfaces. The waves traveling from the source strike these different surfaces, causing multiple reflections. For example, a single clap of thunder reflects on several clouds and the earth's surface, causing you to hear a rolling rumble instead of a single sound.

The stopper of the thermos flask decreases convectional and conductional energy transmission. To reduce the loss of heat energy via the flask's opening, the stopper is often constructed of an insulating material.

The vessel's mouth is sealed off with a cork-based insulating stopper. On an insulating pad made of cork, the vessel is stored. It has thermal insulation as a result.

Insulators are employed to prevent or limit the transfer of heat energy through conduction, convection, or radiation. In order to limit convection, solid materials are frequently employed. Radiation is reflected by reflecting insulators.

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Question:

In the thermos flask shown:

The stopper reduces energy transfer by

The air gap reduces energy transfer by.

stopper

air gap

Answer:

\(k.e = \frac{1}{2} MV {}^{2} \\ 75 = \frac{1}{2} m10 {}^{2} \\ \frac{75}{100} = \frac{1}{2} m \\ \\ 0.75 \times 2 =m \\ m = 1.5kg\)

the mass of car is 1.5kg

Answer:

Dalton’s theory about compounds tells us that all water molecules have different kinds of atoms, two hydrogen atoms for every one oxygen atom.

Explanation:

Answer:

Sample Response: Dalton’s theory about compounds tells us that all water molecules have different kinds of atoms, two hydrogen atoms for every one oxygen atom.

Explanation:

its literally the sample response

To calculate the error in sin(90°) given an error in the angle of 0.50, we need to consider the derivative of the sine function.

The derivative of sin(x) with respect to x is cos(x).

Since sin(90°) equals 1, the derivative of sin(x) at x = 90° is cos(90°) = 0.

Therefore, if the error in the angle is 0.50, the error in sin(90°) is 0.50 multiplied by the derivative of sin(x) at x = 90°, which is 0.

In other words, the error in sin(90°) is 0. The error in the angle is given as 0.50, but it is not specified whether this value represents degrees or radians. Assuming it represents degrees, we can calculate the error in the sine of 90° as follows:

The sine of 90° is equal to 1.

Since the sine function of 90° is always 1, the error in the sine of 90° would also be 1. Therefore, the error in sin(90°) would be 1.

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The half-meter rule (easy math) is 0.5 meters or 50 centimeters since a meter is 1 meters long, which is equivalent to 100 centimeters. Therefore, we shall apply the 50 cm rule.

A 50 cm rule's center of mass is now 25 cm away.

Additionally, according to the data, the object is pivoted at 15 cm, while the 40 g object is hung at 2 cm from the rule's beginning. Using a straightforward formula, we can compare the two situations: the distance from the pivot to the center of the mass times the mass of the 40 g object divided by 2 cm must equal the distance from the pivot to the center of the mass times mass of the 10 x g object

The result of the straightforward computation must be 52g.

Most simplified version:

the center of mass of the rule is at the 25 cm mark

⇒ \(40 g * (15 cm - 2 cm)\)

⇒ \(= M * (25 cm - 15 cm)\)

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