Quantity with kgm^3/s^1

The height from which the body was released to fall to the ground is found to be  28.04 m.

The height of the free fall is found using equation of motion in straight line.

h = ut + 1/2gt²

initial velocity u = 0 m/s

h is the height of free fall.

g = 9.8 m/s²; acceleration due to gravity

time t = 2.391 s

Put the values:

h = 0*2.391 + 1/2*9.81*2.391²

h = 28.04

Thus, the height from which the body was released to fall to the ground is found to be  28.04 m.

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Answer:

8.65 m/s.

Explanation:

Let's use conservation of momentum and conservation of kinetic energy to solve this problem.

Since the two balls have equal masses, we can simplify the problem by assuming they are identical. Let's call the initial speed of the incoming ball v and the final speed of the outgoing ball v'.

Conservation of momentum tells us that the total momentum before the collision is equal to the total momentum after the collision:

mv = mv'cos(29°) + mv'sin(29°)

where m is the mass of each ball.

Conservation of kinetic energy tells us that the total kinetic energy before the collision is equal to the total kinetic energy after the collision:

(1/2)mv^2 = (1/2)mv'^2

We can solve the first equation for v' and substitute it into the second equation:

v' = v(1 - sin(29°)) / cos(29°)

(1/2)mv^2 = (1/2)m[v(1 - sin(29°)) / cos(29°)]^2

Solving for v', we get:

v' = v[1 - sin(29°)] / cos(29°)

v' = 8.65 m/s (to two decimal places)

Therefore, the speed of the first ball after the collision is 8.65 m/s.

The potential of the two aluminum spheres will be equal when they come into contact. identical radius, therefore equal potential results in  charges. Hence, sphere C will have a final charge of q c = +1.125q.

All charges in a circular conductor are at suitable intervals from one another because the energy in a sphere conductor will travel about until it is evenly distributed across its surface. As a result, there's an equal and opposite charge for every charge. Electric fields produced by these charges cancel each other out.

This is just Qr40r if the charge is evenly dispersed throughout the sphere. The charge contained inside radius r in this instance is Qr, and if the charge is Q(r3/a3) is uniformly distributed around the sphere. Hence, Qr240a3 represents that portion of the potential.

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The basal metabolic rate for the girl of 14 years weighing 125 pounds and height of 5ft.6 inch is 1573 Kcal/day.

The basal metabolic rate of a person is the number of calories that is burned inside the body through basic life -sustaining metabolic functions. It can be calculated using the below equations for men and women.

BMR for men = 88.362 + (13.397 x weight in kg) + (4.799 x height in cm) – (5.677 x age in years)

BMR for women  = 447.593 + (9.247 x weight in kg) + (3.098 x height in cm) – (4.330 x age in years).

Given, the age = 14 years

weight = 125 pounds = 56.7 kg

1 feet =  30.48 cm

1 inch = 2.54 cm.

then 5ft.6inch = 167.64 cm.

Now BMR =  447.593 + (9.247 x 56.7) + (3.098 x 167.64 ) – (4.330 x 14)

=  1573 Kcal/day.

Therefore, the basal metabolic rate of the girl is 1573 Kcal/day.

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The height of the satellite Aldock in orbit is approximately 1,419,288 meters or 1,419.3 kilometers above the Earth's surface.

The height of a satellite in orbit around the Earth can be calculated using the following formula:

h = (GMt/4π²)^(1/3) - Re

where:

To solve for h, we need to know the mass of the satellite and the speed of its orbit. However, we can use the given information that the Earth exerts a force of 5000N on the satellite to calculate the speed of the orbit using the centripetal force equation:

F = mv^2/r

where:

Solving for v, we get:

v = √(Fr/m)

v = √((5000 N) * (6,371,000 m)) = 7919.26 m/s

Now that we know the speed of the orbit, we can use the first formula to solve for the height of the satellite:

h = (GMt/4π²)^(1/3) - Re

Substituting the given values, we get:

h = [(6.67430 × 10^-11 m^3/kg/s^2) * (5.972 × 10^24 kg) / (4π²)]^(1/3) - 6,371,000 m

= 1,419,288 m

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The current the battery can deliver, given that the battery is rated 1.0 mW at 9.0 V is 0.00011 A

Electrical power is defined according to the following formula:

Power (P) = Current (I) × voltage (V)

With the above formula, we can obtain the current the battery can deliver. This is shown below:

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

Power (P) = Current (I) × voltage (V)

0.001 = Current × 9

Divide both sides by 9

Current = 0.001 / 9

Current = 0.00011 A

Thus, the we can conclude that the current is 0.00011 A

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The battery can deliver a current of 111 microamps when fully charged.

To determine the current that a battery can deliver, we can use the formula for power:

Power = Voltage x Current

We are given the power rating of the battery as 1.0 mW and the voltage as 9.0 V. Therefore, we can rearrange the above formula to solve for the current:

Current = Power / Voltage

Plugging in the values, we get:

Current = 1.0 mW / 9.0 V

Converting milliwatts to watts:

Current = 0.001 W / 9.0 V

Simplifying:

Current = 0.000111 A or 111 µA

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Answer: The estimated mass of the Milky Way galaxy is approximately 1.8 x 10^42 kg.

Explanation:

We can use the orbital velocity of the Sun around the galactic center, the distance from the Sun to the galactic center, and the laws of gravity to estimate the mass of the Milky Way galaxy.

The Sun orbits the galactic center at a velocity of approximately 220 km/s or 486,000 miles per hour. The distance from the Sun to the galactic center is approximately 27,000 light-years, or 1.6 x 10^17 miles.

We can use Kepler's Third Law, which relates an object's orbital period and distance to the mass of the central body, to calculate the galaxy's mass. This law can be written as:

[tex]T^2 = \frac{4\pi ^2}{GM} r^3[/tex]

where T is the orbital period (230 million years),

G is the gravitational constant,

M is the mass of the galaxy,

and r is the distance from the Sun to the galactic center.

Solving for M, we get:

[tex]M = \frac{(\frac{4\pi ^2}{G})r^3}{T^2}[/tex]

Plugging in the values, we get:

[tex]M = \frac{(4\pi ^2 / 6.6743 x 10^-11 m^3/kg/s^2) (1.6 x 10^17 miles)^3}{(230 million years)^2}[/tex]

Converting the units, we get:

M = 1.8 x 10^42 kg

Therefore, the estimated mass of the Milky Way galaxy is approximately 1.8 x 10^42 kg.

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The required expression for typical entry speed is [tex]u=4.3818\sqrt{\frac{1}{m}}[/tex]. And, the required value for a typical entry speed is 5.24 m/s.

According to the work-energy theorem, The overall work performed on an object is equal to the change in the object's gravitational and kinetic energies. The work performed by the force is equivalent to this change in kinetic energy. The frictional force value is negative.

This is given by [tex]W=f_s s=\frac{1}{2}mv^2-\frac{1}{2}mu^2[/tex]. Here, initial speed and final speed are denoted by u and v, and the frictional force is denoted by [tex]f_s[/tex]. then substitute v = u/2, and we get an expression for entry speed,

[tex]\begin{aligned}W=-f_s s&=\frac{1}{2}m\left(\frac{u}{2}\right)^2-\frac{1}{2}mu^2\\-f_ss&=\frac{1}{2}mu^2\left(\frac{1}{4}-1\right)\\&=\frac{1}{2}mu^2\left(-\frac{3}{4}\right)\\u^2&=\frac{8f_ss}{3m}\\u&=\sqrt{\frac{8f_ss}{3m}}\\u&=\mathrm{\sqrt{\frac{(8)(6.0\;N)(1.2\;m)}{3m}}}\\&=4.3818\sqrt{\frac{1}{m}}\end{aligned}[/tex]

The required answer for part A is [tex]u=4.3818\sqrt{\frac{1}{m}}[/tex].

Then, the typical entry speed of the ball is calculated as follows,

[tex]\begin{aligned}u&=4.3818\sqrt{\frac{1}{m}}\\&=4.3818\sqrt{\frac{1}{0.70}}\\&=\mathrm{5.24\;m/s}\end{aligned}[/tex]

The required answer for part B is 5.24 m/s.

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The complete question is -

In a carnival game, the player throws a ball at a haystack. For a typical throw, the ball leaves the hay with a speed of exactly one-half of the entry speed.

Part A: If the frictional force exerted by the hay is a constant 6.0 N and the haystack is 1.2 m  thick, derive an expression for the typical entry speed as a function of the inertia of the ball. Assume horizontal motion only, and ignore any effects due to gravity.

Part B: What is the typical entry speed if the ball has an inertia of a 0.70 kg?

The amount of charge that will pass through the cross-sectional area of the conductor in 1 min is 192 C.

We can use the formula Q = I * t,

where;

Given that a charge of 6.4 C passes through a cross-sectional area of the conductor in 2 s, we can find the current using the formula:

I = Q / t = 6.4 C / 2 s = 3.2 A

So, the current through the conductor is 3.2 A.

To find the amount of charge that will pass through the cross-sectional area of the conductor in 1 min (60 s), we can use the same formula:

Q = I * t = 3.2 A * 60 s = 192 C

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The probability that the basketball player makes 1 shot is 0.435 or approximately 43.5%.

This is a binomial distribution problem, where we have a fixed number of trials (3 free throws) and each trial has two possible outcomes (make or miss) with a fixed probability of success (39%).

The probability of making exactly 1 shot can be calculated using the binomial probability formula:

[tex]P(X = k) = (n choose k) * p^k * (1-p)^{(n-k)} ^[/tex]

Where:

n is the number of trials (3)

k is the number of successes (1)

p is the probability of success on each trial (0.39)

Plugging in the values, we get:

[tex]P(X = 1) = (3 choose 1) * 0.39^1 * (1-0.39)^{(3-1)}[/tex]

= [tex]3 * 0.39 * 0.61^2[/tex]

= 0.435

Therefore, the probability that the basketball player makes 1 shot is 0.435 or approximately 43.5%.

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Answer:

which of these is a meneral?

Answer:

according to the variations that they have been within years.

Explanation:

Answer:

your answer is

Explanation:

Living things provide evidence for evolution through various ways such as the existence of homologous structures (similar structures in different organisms indicating a common ancestor), vestigial structures (organs that have lost their original function over time), the distribution of species across different regions, genetic similarities and differences between organisms, and the observation of natural selection in action.

The work required to pump the water out of the spout is 11,011,392 J.

What is a spout?

A spout is typically a small opening or nozzle through which a fluid (such as water) can flow. The spout may be a part of a container, such as a tank or a pitcher, or it may be a separate attachment, such as a faucet or a sprinkler. The spout is important in the study of fluid dynamics, which is the branch of physics that deals with the motion of fluids and the forces that act on them.

To find the work required to pump the water out of the spout, we need to determine the weight of the water in the tank and the height through which the water needs to be lifted.

The weight of the water in the tank can be found using its volume and weight density. The volume of the tank is given by:

V = a * b * c = 4 m * 4 m * 9 m = 144 [tex]m^{3}[/tex]

The weight of the water can be found using the:

W = m * g = V * ρ * g

where m is the mass of the water, g is the acceleration due to gravity, and ρ is the weight density of water.

Substituting the given values, we have:

W = V * ρ * g = 144 [tex]m^{3}[/tex] * 1000 kg/[tex]m^{3}[/tex] * 9.8 m/[tex]s^{2}[/tex] = 1,411,200 N

Next, we need to determine the height through which the water needs to be lifted. This is equal to the distance from the spout to the surface of the water in the tank. The height can be found using the Pythagorean theorem since the spout is at a diagonal distance from the base of the tank. The height is given by:

h = sqrt([tex]c^{2}[/tex] - [tex]d^{2}[/tex]) = sqrt(9 [tex]m^{2}[/tex] - 4 [tex]m^{2}[/tex]) = 7.81 m

Finally, the work required to pump the water out of the spout is given by:

W = F * d

where F is the force required to lift the water and d is the distance over which the force is applied. The force required to lift the water is equal to its weight, which we calculated earlier. Therefore, we have:

W = F * d = W * h = 1,411,200 N * 7.81 m = 11,011,392 J

Therefore, The amount of work needed to pump the water out of the spout is 11,011,392 joules.

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Knowing the Sun's mass and measuring how Jupiter's speed changes during its elliptical orbit around the Sun.

What do you  mean by mass?

Mass is a fundamental physical property of an object that measures the amount of matter it contains. In other words, mass is a measure of the object's inertia, or resistance to changes in its motion. The more massive an object is, the harder it is to accelerate it, and the greater its gravitational attraction to other objects.The SI unit of mass is the kilogram (kg).

The principles of planetary motion established by Kepler and Newton and the laws of gravitation can be used to calculate Jupiter's mass. The Sun and Jupiter's gravitational pull on each other is determined by their relative sizes, masses, and separation. The gravitational force pulling Jupiter towards the Sun can be computed using the period and distance of Jupiter's elliptical orbit around the Sun as well as the mass of the Sun. Jupiter's acceleration, which can be determined from variations in its speed during its elliptical orbit, is connected to the force of gravity that is acting on it.

It is possible to calculate Jupiter's mass using these measurements and computations. For an exact calculation of Jupiter's mass, the other methods offered are insufficient. Option A) gives details regarding

These data and computations can be used to estimate Jupiter's mass. Jupiter's mass cannot be reliably calculated using the other alternatives provided. Option A) includes details on Jupiter's orbit but does not immediately provide details regarding its mass. The orbital period and speed of Jupiter's moons are disclosed in options B) and C), although these numbers also rely on the moons' mass, their distance from Jupiter, and other factors. While Option E) provides data on Jupiter's average separation from the Sun, it does not provide data on its mass.

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A fuse box can be replaced with a circuit breaker.

Circuit breakers shield homes and devices from both power overloads and short-circuiting, whereas fuses only guard against power overloads. This is a crucial factor to take into account when deciding between a fuse and a circuit breaker.

The type of protection that each system offers the house is one of the key differences between how fuses and circuit breakers operate. Circuit breakers guard against both electricity overloads and short circuits, whereas fuses guard against an electrical overload.

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Therefore, of the three options given, the electromagnet with more coils around the metal rod is the most powerful if all other factors such as current and core material are kept constant.

What is the very short response to an electromagnet?

An electromagnet is a temporary magnet made by winding a wire around an iron core. When current flows through the coil, iron becomes a magnet, and when the current is cut off, it loses its magnetic properties.

What is Electromagnetism?

Electromagnetism is the branch of physics that deals with the electromagnetic forces that occur between charged particles. Electromagnetic force is one of the four basic forces and describes the electromagnetic field.

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Answer: The answer is B

Explanation:

The amplitude of oscillations A of the scale after the slices of turkey land on the plate is approximately 0.0159 meters.

When the slices of turkey are dropped on the plate, the total initial momentum is:

p = m × v

where m is the total mass of the turkey and v is the initial velocity of the turkey. Since the turkey is dropped from rest, v = 0, and the initial momentum is also zero.

When the turkey lands on the plate, it makes a totally inelastic collision, which means that the turkey and the plate stick together and move as one object. The final momentum of the turkey and the plate is therefore:

p' = (m + M) × V

where M is the mass of the plate, V is the velocity of the turkey and the plate together after the collision.

Since momentum is conserved in the collision, we have:

p = p'

which gives:

m × v = (m + M) × V

Solving for V, we get:

V = (m × v) / (m + M)

The kinetic energy of the turkey just before it lands on the plate is:

K = (1/2) × m × v^2

After the collision, the turkey and the plate are moving together, so their kinetic energy is:

K' = (1/2) × (m + M) × V^2

The difference between the initial and final kinetic energies is converted into potential energy of the spring, which is given by:

U = (1/2) × k × A^2

where k is the force constant of the spring and A is the amplitude of the oscillations.

Using conservation of energy, we have:

K - K' = U

Substituting the expressions for K, K', and V, and solving for A, we get:

A = sqrt[(m × g / k) × ((m + M) / (m^2 + 2 × m × M + M^2))]

Substituting the given values, we get:

A = sqrt[(0.100kg × 9.81m/s^2 / 200N/m) × ((0.100kg + 0.400kg) / (0.100kg^2 + 2 × 0.100kg × 0.400kg + 0.400kg^2))]

A = 0.0159m

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The given question is incomplete, the complete question is :

For lunch you and your friends decide to stop at the nearest deli and have a sandwich made fresh for you with 0.100kg{\rm kg} of turkey. The slices of turkey are weighed on a plate of mass 0.400kg{\rm kg} placed atop a vertical spring of negligible mass and force constant of 200N/m{\rm N/m} . The slices of turkey are dropped on the plate all at the same time from a height of 0.250m{\rm m} . They make a totally inelastic collision with the plate and set the scale into vertical simple harmonic motion (SHM). You may assume that the collision time is extremely small.

What is the amplitude of oscillations A of the scale after the slices of turkey land on the plate?

The following statements are true: The first law of thermodynamics extends the principle of conservation of energy to include heat as well as mechanical energy.

The work done by a thermodynamic system is equal to the area under the curve on a pv diagram.

The amount of heat added or removed from a thermodynamic system depends only on the initial and final states of the system.

Thermodynamics is a branch of physics that deals with the relationships between heat, energy, and work. It focuses on the behavior of systems of matter and energy and their interactions with each other. It is widely used in fields such as chemistry, engineering, and materials science to understand and predict the behavior of complex systems.

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At point A the force is 571.6 N. At point B the force is 632.8 N. The minimum speed at point A is 8.32 m/s

The force of the car seat on the child can be determined using the equation F = m * a, where F is the force, m is the mass, and a is the acceleration. The acceleration can be found using the equation a = v^2/r, where v is the speed and r is the radius.
(a) At point a, the speed is 10.0 m/s and the radius is 7.00 m. Therefore, the acceleration is:
a = (10.0 m/s)^2 / (7.00 m) = 14.29 m/s^2
The force of the car seat on the child is:
F = (40.0 kg) * (14.29 m/s^2) = 571.6 N
(b) At point b, the speed is 10.5 m/s and the radius is 7.00 m. Therefore, the acceleration is:
a = (10.5 m/s)^2 / (7.00 m) = 15.82 m/s^2
The force of the car seat on the child is:
F = (40.0 kg) * (15.82 m/s^2) = 632.8 N
(c) The minimum speed required to keep the child in his seat at point a can be found by rearranging the equation for acceleration:
v = sqrt(a * r)
Since the force of the car seat on the child must be equal to or greater than the force of gravity on the child (F = m * g), the acceleration must be equal to or greater than the acceleration due to gravity (a = g = 9.81 m/s^2).
Therefore, the minimum speed is:
v = sqrt((9.81 m/s^2) * (7.00 m)) = 8.32 m/s

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The following devices are utilised on a specific day for the durations listed: a 1600-W coffee machine for 10 minutes as well as a 1100-W microwave for 4 minutes.

The duration of occurrences or the gaps between them can be measured, compared, or even ordered using time.

The event description key is then used by the API to deliver events to the proper journeys. For instance, the key "Acme-MovieRented" is used in an event definition. A simple occurrence is one that has only one possible conclusion. Meetings for business or to do normal business are not seen as social occasions unless they actually turn into such as a consequence of the activity.

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a) The net force at the point of fuel ignition is F = A = 100 N.

b) Acceleration after fuel ignites is a = 12.5 m/s^2

c) The net force on the rocket at t=3.00 s is 403 N.

d) Acceleration of rocket 3.00 ss after fuel ignites is a = 50.4 m/s^2

e) Acceleration in outer space is a = 50.4 m/s^2

A. The force at t=0 is given as 100 N, so A = 100 N. We can use the given information to find B:

F = A + Bt^2

162 N = 100 N + B(2.00 s)^2

B = (162 N - 100 N) / (2.00 s)^2

B = 31 N/s^2

Therefore, the net force on the rocket at t=0 is:

F = A = 100 N.

B. The acceleration of the rocket is given by Newton's second law:

F_net = ma

where F_net is the net force acting on the rocket, and a is the acceleration of the rocket. At t=0, the net force on the rocket is 100 N. Therefore, the acceleration of the rocket at t=0 is:

a = F_net / m

a = 100 N / 8.00 kg

a = 12.5 m/s^2

C. To find the net force on the rocket at t=3.00 s, we can simply plug in t=3.00 s into the force equation:

F = A + Bt^2

F = 100 N + 31 N/s^2 (3.00 s)^2

F = 403 N

Therefore, the net force on the rocket at t=3.00 s is 403 N.

D. To find the acceleration of the rocket at t=3.00 s, we can use the same equation as in part B:

F_net = ma

At t=3.00 s, the net force on the rocket is 403 N. Therefore, the acceleration of the rocket at t=3.00 s is:

a = F_net / m

a = 403 N / 8.00 kg

a = 50.4 m/s^2

E. In outer space, far from all gravity, the only force acting on the rocket is the force from the burning fuel. Therefore, the net force on the rocket is simply the force from the burning fuel:

F = A + Bt^2

F = 100 N + 31 N/s^2 (3.00 s)^2

F = 403 N

Using the same equation as in part B, the acceleration of the rocket is:

a = F_net / m

a = 403 N / 8.00 kg

a = 50.4 m/s^2

Therefore, the acceleration of the rocket in outer space would be the same as in part D.

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The frequency band width is 1.59 Hz and high cut-οff frequency is 1.59 Hz.

The frequency οf a repeated event is its number οf instances per unit οf time. It differs frοm angular frequency and is sοmetimes referred tο as tempοral frequency fοr clarificatiοn. The unit οf frequency is hertz (Hz), οr οne οccurrence per secοnd. The time elapsed between events is measured by the periοd, which is the reciprοcal οf the frequency.

Given data:-

The temperature [tex]$\mathrm{T}(\mathrm{t})=20 \sin \omega t$[/tex] And the time constant [tex]$\mathbf{T}=0.1 \mathrm{sec}$[/tex] The general equation of first order [tex]$\mathbf{H}(\mathrm{s})=\frac{\mathrm{K}}{T \mathrm{~T}+1}$[/tex] and [tex]$\mathrm{s}=\mathrm{j} \omega$[/tex]. Now the general first-order equation:

[tex]$\begin{aligned}\mathbf{H}(\mathrm{s}) & =\frac{\mathrm{K}}{(\mathrm{Ts}+1)} \\\mathrm{H}(\mathrm{j} \omega) & =\frac{\mathrm{K}}{(0.1 \mathrm{j} \omega)+1}\end{aligned}[/tex]

The magnitude of the [tex]$\mathrm{H}(\mathrm{j} \omega)$[/tex]

[tex]$|H(j \omega)|=\frac{K}{\sqrt{(0.1 \omega)^2+1}}$[/tex]

Now for the higher and lower frequency, i.e. [tex]$\mathrm{f}_{\mathrm{L}}$[/tex] and [tex]$\mathrm{f}_{\mathrm{h}}$[/tex]The upper frequency when [tex]$\omega=\frac{1}{\mathrm{~T}}=\frac{1}{0.1}=10 \mathrm{rad} / \mathrm{sec}$[/tex]  the magnitude [tex]$|\mathrm{H}(\mathrm{j} \omega)|=\frac{\mathrm{K}}{\sqrt{2}}$[/tex] and a lower frequency when [tex]$\mathrm{\omega=0\ magnitude}\ |\mathrm{H}(\mathrm{j} \omega)=\mathrm{K}|$[/tex]

The upper frequency [tex]$\omega=2 \pi f$[/tex]

[tex]$\mathrm{f}_{\mathrm{h}}=\frac{10}{2 \pi}=1.59 \mathrm{~Hz}$$And lower frequency$$\mathrm{f}_{\mathrm{L}}=0$[/tex]

Now the frequency band width [tex]$\mathrm{B}=\mathrm{f}_{\mathrm{h}}-\mathrm{f}_{\mathrm{L}}=1.59-0=1.59 \mathrm{~Hz}$[/tex]

Thus, The frequency band width is 1.59 Hz and high cut-off frequency is 1.59 Hz.

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(a) The components of the average velocity of the car us 3.64 m/s and (b) The magnitude and direction of the average velocity is 4.54 m/s.

A vector measure of average velocity exists. In order to calculate average velocity, divide the change in position or displacement (x) by the time intervals (t) during which the displacement takes place. Depending on the displacement's sign, the average velocity can either be positive or negative. The SI unit for average speed is metres per second (m/s or ms-1).

[tex]$$Given that:\\The coordinates of the car $(4.0 \mathrm{~m}, 2.0 \mathrm{~m})$ at $\mathrm{t}_1=2.0 \mathrm{~s}$ \\The coordinates of the car $(7.0 \mathrm{~m}, 6.0 \mathrm{~m})$ at $\mathrm{t}_2=3.1 \mathrm{~s}$[/tex]

[tex]$$(a) The component of the average velocity of the car is:x-component:$$\begin{aligned}& \mathrm{v}_{\mathrm{x}}=\frac{\mathrm{x}_2-\mathrm{x}_1}{\mathrm{t}_2-\mathrm{t}_1} \\& \mathrm{v}_{\mathrm{x}}=\frac{7-4}{3.1-2} \\& \mathrm{v}_{\mathrm{x}}=2.72 \frac{\mathrm{m}}{\mathrm{s}} \\\end{aligned}[/tex]

                                                   [tex]\begin{aligned}\\& \mathrm{y} \text {-component: } \\& \mathrm{v}_{\mathrm{y}}=\frac{\mathrm{y}_2-\mathrm{y}_1}{\mathrm{t}_2-\mathrm{t}_1} \\& \mathrm{v}_{\mathrm{y}}=\frac{6-2}{3.1-2} \\& \mathrm{v}_{\mathrm{y}}=3.63 \frac{\mathrm{m}}{\mathrm{s}}\end{aligned}$$[/tex]                                  

[tex]$$(b) The magnitude and direction of the average velocity is$$\begin{aligned}& |\mathrm{v}|=\sqrt{\mathrm{v}_{\mathrm{x}}^2+\mathrm{v}_{\mathrm{y}}^2} \\& |\mathrm{v}|=\sqrt{2.72^2+3.63^2} \\& |\mathrm{v}|=4.54 \frac{\mathrm{m}}{\mathrm{s}}\end{aligned}$$[/tex]

Thus, The components of the average velocity of the car us 3.64 m/s and The magnitude and direction of the average velocity is 4.54 m/s.

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Complete question:                  

Answer:

one of several ligaments that connect the femur (thighbone) to the tibia (shinbone).

Answer: The posterior cruciate ligament (PCL) is the strongest ligament in the knee. It extends from the top-rear surface of the tibia (bone between the knee and ankle) to the bottom-front surface of the femur (bone that extends from the pelvis to the knee).

I can provide you with general guidance on how to carry out the steps you have described for the following experiment by taking the mass of your empty evaporating dish.

What are the steps needed to done this experiment?

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Answer:

50 kg

Explanation:

Suppose a kangaroo is sitting still on a stationary log that is floating in a lake. When the kangaroo gets scared, she jumps off the log with a velocity of 15 m/s toward the bank. The log moves with a velocity of 3.8 m/s away from the bank. If the mass of the log is 250 kg, what is the mass of the kangaroo? Before Jump Kangaroo Mass (kg) Log Velocity (m/s) Momentum (kg m/s) Mass (kg) Velocity (m/s) Momentum (kg m/s) After Jump Mass (kg) Velocity (m/s) Momentum (kg m/s) Mass (kg) Velocity (m/s) Momentum (kg m/s)

To find the mass of the kangaroo, we must use the law of conservation of momentum, which states that the total momentum of a system remains constant unless an external force acts on it. Before the jump, the momentum of the kangaroo and the log was zero since they were stationary. After the jump, the momentum of the system is equal to the sum of the momentums of the kangaroo and the log, which is equal to (250 kg)(3.8 m/s) + (m)(15 m/s) = 0. Solving for m, we get m = 50 kg. Therefore, the mass of the kangaroo is 50 kg.

Answer:

You should give him the brainly! You gave me one, now it is his turn. And by the way, thank you for the brainliest early. :D

By the way, the answer is 50kg

Explanation:

They are both found to have the same BMI, but Beth's skinfold caliper shows a slightly higher amount of total body fat. This is likely because She is older. The correct option is B.

For the majority of women, a BMI of 18.5-24.9 is regarded as normal or healthy. Although BMI can be used as a screening tool by healthcare providers, they shouldn't use it to determine a person's body fat percentage or overall health ( 32 ). Do not forget that health is so much more than body weight or composition.

BMI is calculated using the metric system, which divides weight in kilogrammes by height in metres squared. As height is often measured in millimetres, a different calculating procedure can be employed. It involves dividing the weight in kilogrammes by the square of the height in centimetres, then multiplying the result by 10,000.

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The complete question is -

Melody and her mom Beth both have similar fitness lifestyles. Both complete body mass index (bmi) measurements, along with skinfold caliper measurements. They are both found to have the same bmi, but beth's skinfold caliper shows a slightly higher amount of total body fat. This is likely because

A-She is more athletic

B-She is older

C-She is taller

D-She measured incorrectly​