an object is traveling with a velocity of 3.05 m/s. the object then accelerates at 2.82 m/s^2 over a displacement of 18.4m. what is the final velocity? answer choices - 2.82m/s, 113.1m/s, 54.9m/s, 10.6m/s

To calculate the angular momentum HG, use the following formula:
Angular momentum HG = Inertia tensor * Angular velocity ω
Since we are given the inertia tensor and angular velocity ω, we can multiply them to find the angular momentum HG.

To calculate the rotational kinetic energy (about G), use the following formula:
Rotational kinetic energy = 0.5 * Angular velocity ω * Inertia tensor * Angular velocity ω
Now that we have the angular velocity ω and inertia tensor, we can plug them into the formula to find the rotational kinetic energy about the centre of mass G.
Remember to consider the matrix multiplication when dealing with the inertia tensor and angular velocity ω vectors.

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Answer:

That's Rontgen

Explanation:

Wilhem Rontgen

The water budget equation for the Creek drainage basin is: Precipitation = Stream discharge + Evapotranspiration ± Change in storage.

To develop the water budget equation for this problem, we need to account for the inputs and outputs of water in the Creek drainage basin. The water budget equation can be expressed as,

P = Q + ET ± ΔS

P = Precipitation input (mm)

Q = Stream discharge (m³/s)

ET = Evapotranspiration (mm)

ΔS = Change in storage (mm)

First, let's convert the units of the given values,

Precipitation input (P) = 550 mm

Stream discharge (Q) = 1.8 m³/s

Now, let's determine the evapotranspiration (ET) and change in storage (ΔS) terms. However, the problem doesn't provide information about ET, so we cannot calculate it accurately. The problem doesn't provide information about ΔS, so we cannot calculate it accurately.

Given these limitations, we can write the simplified water budget equation for this problem,

550 mm = 1.8 m³/s + ET ± ΔS

Please note that without information about evapotranspiration and changes in storage, we cannot fully determine the water budget for the Creek drainage basin.

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Question 1.

Given:

Mass = 1200 kg

Velocity = 100 km per hour.

Let's find the change in momentum it will expperience.

To find the change in momentum, apply the formula:

Where:

Δp is the change in momentum

m is the mass of the car = 1200 kg

vf is the final velocity

vi is the initial velocity.

Here, the final velocity is = 0 m/s

The initial velocity is = 100 km/h

Let's convert the initial velocity to m/s.

Where:

1 m/s = 3.6 km/h

100 km/h = 100/3.6 = 27.78 m/s

Input the values into the formula and solve for Δp.

We have:

Therefore, the change in momentum is 33333.33 kg.m/s

Question 2.

Since the safety zone for momentum is 0 to 1000 kg.m/s, to find the minimum velocity of the car, substitute 1000 kg.m/s for Δp and solve for the final velocity vf

We have:

Therefore, the minimum velocity the car can slow down to a velocity is 26.94 m/s.

ANSWER:

(a). 33333.33 kg/m.s

(b). 26.94 m/s

Answer:

Magnetization is the density of magnetic dipole moments that are induced in a magnetic material when it is placed near a magnet. ... Magnetization is also known as magnet polarization.

Answer:

Ions are formed by the addition of electrons to, or the removal of electrons from, neutral atoms or molecules or other ions; by combination of ions with other particles; or by rupture of a covalent bond between two atoms in such a way that both of the electrons of the bond are left in association with one of the ..

Answer:

Ions are formed when atoms lose or gain electrons, simply when electrons from the metal transfers electrons from its outermost shell( forming a positively charged metallic ion) to the outermost shell of the non-metallic atom( forming a negatively charged ion)

Answer:

biofuels energy is the answer

Explanation:

\(b. \: light\)

Answer: 8

Explanation: 200/25=8

Answer:

Cardboard, Paper towels, Food waste, and wooden based items

Answer:

How fast do things biodegrade?

Vegetables 5 days –1 month

Aluminium cans 80–100 years

Glass bottles 1 million years

Styrofoam cup 500 years to forever

Plastic bags 500 years to forever

The acceleration of the satellite would be 8,926.67 m/s².

The acceleration of the satellite can be calculated using the following equation:

a = GM/r²

where:

G = gravitational constant = 6.6743 x 10^-11 Nm²/kg²

M = mass of the Earth = 5.972 x 10^24 kg

r = distance between the centers of the Earth and the satellite = 5 x 10^3 m

First, we need to calculate the gravitational force between the Earth and the satellite:

F = G(Mm)/r²

where m is the mass of the satellite.

F = (6.6743 x 10^-11 Nm²/kg²)(5.972 x 10^24 kg)(15,000 kg)/(5 x 10^3 m)²

F = 1.339 x 10^8 N

Now we can calculate the acceleration of the satellite:

a = F/m

a = (1.339 x 10^8 N)/(15,000 kg)

a = 8,926.67 m/s²

Therefore, the acceleration of the satellite is 8,926.67 m/s².

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Answer:

Take a look below

Explanation:

Aluminum reacts vigorously and exothermically with copper chloride, the balanced chemical reaction becomes:

2Al + 3CuCl₂ → 2AlCl₃ + 3Cu

Considering that aluminium is a more active metal in the electrochemical series of metals than copper, it displaces copper from the bond. The result is the emission of gaseous hydrogen and red metallic copper. This reaction is quite intense and results in the production of heat.

The reaction between aluminium and copper(II) chloride is highly vigorous, as heat is generated, the reaction mixture becomes very hot, the blue hue owing to the Cu(II) ions fades, the aluminium foil disintegrates, a reddish brown solid emerges, and gas bubbles are released.

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If an ammeter shows a current through the coil of 6.0 a, the resistance of the stove heating element is 20 Ω.

To calculate the resistance of the stove heating element, we can use Ohm's Law, which states that resistance (R) equals voltage (V) divided by current (I), or R = V/I.

In this case, the voltmeter shows a potential difference of 120 V, and the ammeter shows a current of 6.0 A. So we can plug these values into the formula:

R = V/I
R = 120 V / 6.0 A
R = 20 Ω

Therefore, the resistance of the stove heating element is 20 Ω.

Alternatively, to find the resistance of the coil, you can use Ohm's Law, which states that Voltage (V) = Current (I) * Resistance (R). In this case, the potential difference (V) is 120 V, and the current (I) is 6.0 A. You need to solve for the resistance (R).

R = V / I
R = 120 V / 6.0 A
R = 20 ohms

The resistance of the coil is 20 ohms.

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Answer:Know the answer yet?

Explanation:

r(t) is continuous at t = 5.

The average rate at which water is draining from the tank is 37.0446 liters/hour (approx)
The value of r′(3) ≈ −0.1526 liters/hour means that the rate of draining of water is decreasing at the rate of 0.1526 liters/hour at

t = 3.

The equation involving an integral to find the time A when the amount of water in the tank is 9000 liters as:

A = ∫0^A r(t) dt

= C − 9000

a) The continuity of the piecewise defined function r(t) at t=5 is to be determined. It is given that

r(t)={ t+3600t ​for 0≤t≤5

1000e −0.2t for t>5

Now, we need to check if r(t) is continuous at t = 5.
At t = 5, the limit of r(t) as t approaches 5 from the left is:
lim(t→5−)r(t)=5+3/600(5)

=8/300 liters/hour

At t = 5, the limit of r(t) as t approaches 5 from the right is:

lim(t→5+)r(t)=1000e^(-0.2 × 5)

= 670.3200460 liters/hour
As both the left and right-hand limits of r(t) at t = 5 exist and are equal,

we can conclude that r(t) is continuous at t = 5.

b) The average rate at which water is draining from the tank between t = 0 to 8 hours can be calculated as follows:

Average rate of draining of water = 1/(8 − 0) ∫0^8 r(t) dt

= (1/8) [ ∫0^5 (t + 3)/600 dt + ∫5^8 1000e^(-0.2t)/dt ]

= 1/4800 [ (t^2/2 + 3t)/dt]^5_0 + 1/(-2) [ 1000/(-0.2) e^(-0.2t)]^8_5

= 1/4800 [( (5^2/2 + 3 × 5) − 3/2 + 1000/(2 × 0.2) (e^(-0.2 × 5) − e^(-0.2 × 8))]

= 37.0446 liters/hour (approx)

c) The derivative of r(t) is given by r′(t) = 1/600 − 0.2 × 1000e^(-0.2t) for t > 5.
At t = 3, we have

r′(3) = 1/600 − 0.2 × 1000e^(-0.6)

≈ −0.1526 liters/hour.
The negative sign of r′(3) means that the rate of draining of water is decreasing at t = 3. The absolute value of r′(3) tells us how fast the rate of draining of water is decreasing.

The value of r′(3) ≈ −0.1526 liters/hour means that the rate of draining of water is decreasing at the rate of 0.1526 liters/hour at

t = 3.

d) Let V(t) be the volume of water in the tank at time t. We know that the rate of change of the volume of water in the tank is given by the function r(t). Then, we have:

V′(t) = −r(t)

Integrating both sides with respect to t, we get:

V(t) = −∫ r(t) dt + C

where C is the constant of integration.

When the volume of water in the tank is 9000 liters, we have:

V(t) = 9000

∫ r(t) dt = C − 9000

Therefore, we can write the equation involving an integral to find the time A when the amount of water in the tank is 9000 liters as:

A = ∫0^A r(t) dt

= C − 9000

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Answer:

W = 19.845 J

Explanation:

Work is defined as W = Fdcos\(\theta\), where F is the force exerted and d is the distance. Because the direction the ball is falling is the same direction as the force itself, \(\theta\) = 0 deg, and since cos(0) = 1, this equation is equivalent to W = Fd. In this case, the force exerted is the weight force, which is equivalent to m * g. Substituting you get:

W = mgd = 0.810 kg * 9.8 m/s^2 * 2.5m

W = 19.845 J

The reflectivity of an asteroid can be determined by comparing its brightness in visible light to its brightness in infrared light. The correct answer is option A.

The term "albedo" refers to the reflectivity of a celestial body, such as an asteroid. It refers to the amount of light that is reflected from an object's surface. Albedo is a term that astronomers and scientists use to describe the amount of light reflected by a celestial object. Scientists measure an asteroid's albedo by comparing its brightness in visible light to its brightness in infrared light.

Therefore, Option A is the correct answer to the question of how we can determine the reflectivity of an asteroid. By comparing its brightness in visible light to its brightness in infrared light.

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there is an increase in the momentum

Answer:

b is the equivalent

do u want explanation

The van der Waals equation of state can be written as (P + a/v²)(v - b) = RT, where P is the pressure, v is the molar volume, T is the temperature, R is the gas constant, and a and b are constants that account for intermolecular forces and finite molecular size, respectively.

Differentiating this equation with respect to pressure at constant temperature gives ∂v/∂P = R(v - b)/(P + a/v²)². Substituting this expression into the definition of isothermal compressibility κ = −1/v(∂v/∂P)t yields κ = (RT/(P + a/v²) - b)/(vRT). Simplifying this expression and noting that a/v² is small compared to P for a van der Waals gas, we can write κ = (1/v - b)/(RT). This expression shows that the isothermal compressibility of a van der Waals gas is influenced by both its molar volume and the constant b that accounts for molecular size.

The isothermal compressibility (κ) of a Van der Waals gas can be obtained using the given expression: κ = -1/v(∂v/∂p)t. Here, v represents the molar volume, p is the pressure, and t is the temperature. For a Van der Waals gas, the equation of state is given by (p+a/v²)(v-b)=RT, where a and b are constants, and R is the gas constant. By differentiating this equation with respect to pressure and holding temperature constant, we can obtain the required expression for isothermal compressibility. After differentiation and some simplification, we arrive at the expression: κ = (1/(RT - a/v²)).

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The acceleration of the beach ball would be 60 m/s² when the same force acts on it.

Given: Mass of soccer ball, m = 2.5kg

Acceleration of soccer ball, a = 1.2 m/s²

Mass of a beach ball, m1 = 0.05 kg

To find:

Acceleration of beach ball, a1

Formula:F = ma (Newton's second law of motion)

Acceleration of the beach ball will be: Substitute the given values in the above equation:

F = ma => a = F/m … equation (1)

Let's use equation (1) to find the acceleration of the beach ball;

F = ma, here F is the same force acting on the beach ball and soccer ball

a1 = F/m1 = F/0.05 kg

Now, let's find the force F using the relation between acceleration, mass, and force of the soccer ball.

F = ma= 2.5 kg x 1.2 m/s²= 3 N

Putting the value of F in the above equation: F = ma => a1 = F/m1= 3 N / 0.05 kg= 60 m/s²

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The amount of magnetomotive force (mmf) generated by the electromagnetic coil would be = 50 ampere/turn

Magnetomotive force is defined as the type of magnetic force that is expressed in a magnetic field.

The number of turn in the electromagnetic coil = 50 turns

The voltage of the coil = 12 v

The current of the coil = 1 amp

The formula for magnetomotive force (mmf)= N I = (Flux) x (current)

Therefore, magnetomotive force (mmf) = 50×1 = 50 ampere/turn.

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Answer:

In a second class lever, the load is located between the effort and the fulcrum. If the load is closer to the fulcrum than the effort, then less effort will be required to move the load. If the load is closer to the effort than the fulcrum, then more effort will be required to move the load.

Explanation:

from what i learned, if its farther away from the load, its easier to lift, like a wheel barrel

i don't Know

Explanation:

learn from yourself.

Answer:

The average velocity is -7.675 m/s

Explanation:

Given;

initial velocity, u = 0 m/s

final velocity, v = -15.35 m/s

Based on the follow up state " In general, to find the average of any 2 things, you add them together and divide by how many things there are", the average velocity will be calculate as ;

Sum of the velocities = 0 m/s + (-15.35 m/s) = -15.35 m/s

Number of velocites = 2

AVERAGE VELOCITY = (-15.35 m/s) / (2)

AVERAGE VELOCITY = -7.675 m/s

Answer:

Explanation:

Given that:

For a first order instrument with a sensitivity of .4 mV/K

constant c  = 25 ms = 25 × 10⁻³ s

The initial temperature \(T_1\) = 273 K

The final temperature \(T_2\) = 473 K

The initial volume = 0.4 mV/K × 273 K = 109.2 V

The final volume =  0.4 mV/K × 473 K =  189.2 V

the instrument’s response as a function of time for a sudden temperature increase can be computed as follows:

Let consider y to be the function of time i.e y(t).

So;

y(t) = 109.2  + (189.2 - 109.2)( 1 - \(\mathbf{e^{-t/c}}\))mV

y(t) = (109.2 +  80 ( 1 - \(\mathbf{e^{t/25\times 10^{-3}}}\))) mV

Plot the response y(t) as a function of time.

The plot of y(t) as a function of time can be seen in the diagram  attached below.

What are the units for y(t)?

The unit for y(t) is mV.

Find the 90% rise time for y(t90) and the error fraction,

The 90% rise time for y(t90) is as follows:

Initially 90% of 189.2 mV = 0.9 ×  189.2 mV

=  170.28 mV

170.28 mV = (109.2 +  80 ( 1 - \(\mathbf{e^{t/25\times 10^{-3}}}\))) mV

170.28 mV - 109.2 mV = 80 ( 1 - \(\mathbf{e^{t/25\times 10^{-3}}}\))) mV

61.08 mV =  80 ( 1 - \(\mathbf{e^{t/25\times 10^{-3}}}\))) mV

0.7635  mV = ( 1 - \(\mathbf{e^{t/25\times 10^{-3}}}\))) mV

t = 1.44 × 25  × 10⁻³ s

t = 0.036 s

t = 36 ms

The error fraction = \(\dfrac{189.2-170.28 }{189.2}\)

The error fraction = 0.1

The error fraction = 10%

Answer:

here,

the mass of car , m = 800 kg

the initial speed of car , u = 100 mph

u = 44.7 m/s

time taken , t = 0.8 s

a)

the change in momentum of the car , dP = Pf - Pi

dP = m * 0 - m * u

dP = - 800 * 44.7 kg.m/s

dP = - 3.58 * 10^4 kg.m/s

b)

the average force exerted on the car , F = dP /t

F = - 3.58 * 10^4 /(0.8) N

F = - 4.47 * 10^4 N

c)

this force is exerted by road on the car