which of the following best expresses the law of conservation of momentum for an inelastic between two objects

The simplified expression for the coefficient of kinetic friction is 0.097.

The coefficient of kinetic friction is described as the ratio of the kinetic friction force of contacting surfaces to the normal force.

The simplified expression for the coefficient of kinetic friction is calculated as follows;

μkmgcosθ = mgsinθ − ma

m(μkgcosθ) = m(gsinθ − a)

μkgcosθ = gsinθ − a

μk= gsinθ − a/ gcosθ

where;

We have the given parameters:

g = 9.8 m/s²

a = 3.6 m/s²

θ=27.0∘

μk = (9.8 sin 27.0 ) - 3.6 / 9.8 cos27.0

μk = 0.097

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Answer:

Explanation:

The speed of the second car after the collision can be found using the law of conservation of momentum. The law states that the total momentum of a system remains constant if no external forces act on it.The initial momentum of the first car is (15g)(22 cm/s) = 330 g cm/s to the right.

The initial momentum of the second car is (22g)(-31 cm/s) = -682 g cm/s to the left.

The total initial momentum of the system is 330 g cm/s - 682 g cm/s = -352 g cm/sAfter the collision, the final momentum of the first car is (15g)(-42 cm/s) = -630 g cm/s to the left.

The final momentum of the second car is (m)(v) where m is the mass of the second car and v is the speed after the collision.

The total final momentum of the system is -630 g cm/s + (m)(v) = -352 g cm/s (since it remains constant)Therefore, m*v = -630 g cm/s + 352 g cm/s = -278 g cm/sTo find v, we need to divide the momentum by the mass

v = -278 g cm/s / 22 g = -12.6 cm/sSo the speed of the second car after the collision is -12.6 cm/s to the left.

Copernicus and the space station will be moving at 2 m/s after they have successfully docked.

According to the law of conservation of momentum, absent an external force, the combined momentum of two or more bodies operating upon one another in an isolated system remains constant.

From  law of conservation of momentum, we can write:

Total initial momentum = Total final momentum

80000 kg × (- 10 m/s) + 20000 kg × (+ 50 m/s) = (80000 kg + 20000 kg) × (v m/s)

v = 2 m/s.

Hence, Copernicus and the space station will be moving at 2 m/s after they have successfully docked.

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(a) At 20 kHz, the reactance of the inductor is X_L = 2πfL = 2π(20,000 Hz)(20 mH) = 1,256 Ω. The maximum current through the inductor is I_max = V/X_L = 9 V/1,256 Ω = 7.14 mA.

Reactance is an electrical phenomenon that occurs when an alternating current (AC) is applied to an inductive circuit. It is a type of opposition to the flow of electric current due to the inductance of the circuit. Reactance is measured in ohms and is the result of the inductive effect of the circuit components. When an AC voltage is applied to a circuit, the current that flows through the inductive circuit opposes the voltage change and produces an opposing voltage across the inductor which is called reactance.

(b) At 60 Hz, the reactance of the inductor is X_L = 2πfL = 2π(60 Hz)(20 mH) = 377 Ω. The maximum current through the inductor is I_max = V/X_L = 9 V/377 Ω = 23.87 mA. At lower frequencies, the reactance of the inductor is lower, so the current through the inductor is higher.

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Answer: 2.04 Seconds

Explanation:Use t=(2v)/g = (2)(10)/9.8 = 2.04 seconds

Answer:

t = 1s is 44 m/s and 72 m/s^2

Explanation:

The distance covered by a car at a time t is given by x=20t+6t^4. To calculate the instantaneous velocity and acceleration when t=1s, we can use the formulas for velocity and acceleration, which are:

Velocity (v) = dx/dt = d/dt(20t+6t^4) = 20 + 24t^3

Acceleration (a) = dv/dt = d/dt(20 + 24t^3) = 72t^2

When t = 1s, we can substitute this value into the formulas for velocity and acceleration:

Velocity (v) = 20 + 24(1)^3 = 20 + 24 = 44 m/s

Acceleration (a) = 72(1)^2 = 72 m/s^2

Therefore, the instantaneous velocity and acceleration of the car when t = 1s is 44 m/s and 72 m/s^2, respectively.

Answer:

About 600 watts

Explanation:

Work = force x distance = 30 x 10 x 10 = 3000 J. Power = Work done/time = 3000/ 5 = 600 watts.

About the possibility of a collision between this asteroid and the Earth the true statement is there is not enough information to determine whether there is danger of a collision.

What is asteroid?

A tiny, stony object called an asteroid orbits the Sun. They are made up of materials left over from the formation of the solar system and are typically found in the asteroid belt. Most asteroids are less than one kilometer in diameter, but some can be much larger. Asteroids are commonly composed of minerals and metals, such as iron, magnesium, and silicon. Asteroids are classified into three main types: C-type, S-type, and M-type. C-type asteroids are the most common and make up around 75% of known asteroids. They are made up of dark, carbon-rich material and are often referred to as "carbonaceous chondrites". S-type asteroids are made up of silicate material, such as clay and silica, and are typically brighter than C-type asteroids. M-type asteroids are made of metallic material, such as iron and nickel, and are the least common type.

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Installing an underfloor heating system in a situation where the electricity is generated by a gas-fired plant would not be advantageous.

Charge or electrical supply flow is what is referred to as electricity. It is an alternative fuel source, which means we obtain it by transforming other natural resources into energy supplies, such as carbon, dirty energy, hydrocarbons, and nuclear energy.

To create electricity, a turbine set converts mechanical energy into electrical energy. The heat produced by sources of energy such natural gas, carbon, nuclear reactors, biomass, petroleum, volcanic, and solar heat is employed to transform to steam, which powers the rotors of turbines.

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The acceleration of the runner is 0.12 m/s^2.

We have to note that the term acceleration would have to do with the rate of the change of the velocity of the object with time. Now we have to note that in this case, we would have to change the velocities of the body to the unit of meter per second.

Initial velocity =  29 km/h or 8 m/s

Final velocity = 31 km/h or 8.6 m/s

We then have that;

a = v - u/t

Then we can be able to substitute the values and have;

a = 8.6 - 8/5

= 0.12 m/s^2

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Answer:

projectile motion

total time of flight= 2V° Sintheta / g

answer is 3second

Hope This would help you!

Answer:

b) 0.48m is the right answer.

Answer:

Explanation:

a) To find the height of the stone above the ground at time t = 3 seconds, we need to substitute t = 3 into the function h(t) = -5t² + 30t + 2 and solve for h(3).

h(3) = (-53²) + (303) + 2 = -45 + 90 + 2 = 37m

b) To find from what height above the ground the stone was released, we need to find the value of h(0), which represents the height of the stone at time t = 0, which is the time the stone was released.

h(0) = (-50²) + (300) + 2 = 2 m

c) To find the time at which the stone is 27 m above the ground, we need to solve for t in the equation h(t) = 27.

27 = (-5t²) + (30t) + 2

27 = -5t² + 30t + 2

25 = -5t² + 30t

5t² - 30t - 25 = 0

(5t-5)(t+5) = 0

t = 1 or t = -5

As time cannot be negative, the time at which the stone is 27 m above the ground is t = 1 sec.

1. Charges qB and qC have different signs.

2. The ratio qC/qB is 9/4.

3. The sign of charge qA must be the same as that of either qB or qC lesser magnitude.

Electric force is the attracting or repulsive interaction between any two charged things. Similar to any force, Newton's laws of motion describe how it affects the target body and how it does so.

1. As net force on qA is zero, charges qB and qC have different signs.

2. The ratio qC/qB is = (3d)²/(2d)² = 9/4.

3. As the net force on qA is zero,  the sign of charge qA must be the same as that of either qB or qC lesser magnitude.

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One way to increase the amount of force that comes out of a hydraulic lift is by increasing the area of the larger piston. Since pressure is equal to force divided by area, if the area of the larger piston is increased, the pressure on the larger piston will be less, but the force will remain the same. This means that the force applied to the small piston will be amplified on the larger piston, resulting in a greater force being exerted by the larger piston.

Another way to increase the amount of force that comes out of a hydraulic lift is by decreasing the area of the small piston. As in this case the pressure is same on both pistons but the force would be more on the small piston and thus will be amplified to a greater force on the larger piston.

By using both methods together, the effect of increasing the force that comes out of a hydraulic lift is even greater.

Several Kilometres below the earth at Sea level

.

Answer:slows it down

Explanation:when something drops it slow down

Answer: increase

Explanation: Air resistance is increases with velocity. When object fall , the velocity will increase. so, resistance will increase.

The magnitude and direction of the net electric force on each of the spheres is 1.92 x 10⁻⁵ N to the right.

The net electric force on the charges is calculated as follows;

F (net) = F (AB) + F (BC)

where;

The electric force between sphere A and B is calculated as follows;

F ( AB ) = kq₁q₂ / r²

where;

F (AB) = ( 9 x 10⁹ x 5.1 x 10⁻⁹ x 1.6 x 10⁻⁹ ) / ( 0.03² )

F (AB) = 8.16 x 10⁻⁵

since it is between two positive charges, it will be repulsive, hence F (AB) = - 8.16 x 10⁻⁵

The electric force between sphere B and C is calculated as follows;

F (BC) = ( 9 x 10⁹ x 2.8 x 10⁻⁹ x 1.6 x 10⁻⁹ ) / ( 0.02² )

F (BC) = 1.008 x 10⁻⁴ N

since the force is between opposite charges, it will attractive, so F (BC) is positive.

The net force on each sphere is calculated as;

F (net) =  -8.16 x 10⁻⁵ N +  1.008 x 10⁻⁴ N

F (net) = 1.92 x 10⁻⁵ N

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The volume of the cone is 15.7 cm^3.

Density of cone is 0.38 kg/cm^3

Radius of the cone = 3 cm

Height of the cone = 10 cm

Formula used:

Volume of a cone = (1/3) × π × r^2 × h

Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume. Density Symbol D or ρ Density Formula: ρ = m/V, where ρ is the density, m is the mass of the object and V is the volume of the object.

Where, r = radius of the cone

h = Height of the cone

Volume of the cone = (1/3) × π × r^2 × h

(1/3) × π × 3^2 × 10

(1/3) × (22/7) × 3^2 × 10

15.7 cm^3

Density = mass/volume

Density = 6kg/15.7 cm^3

Density = 0.38 kg/cm^3

Hence, the volume of the cone is

15.7 cm^3

And density of cone is 0.38 kg/cm^3

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The average output power of the hot rod is 793,442.62 W.

The average output power is calculated by applying the following equation for average power.

P = Fv

where;

But force, F = ma

where;

P = ( ma ) x ( v )

P = ( m x v/t ) x ( v )

P = ( mv² ) /  ( t )

where;

t is the time of motion

The average output power of the hot rod is calculated as follows

P = ( 1200 x 110² ) / ( 18.3 )

P = 793,442.62 W

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The method that will give the most accurate measurement is P = l²R, because it has the least uncertainty.

The power dissipated in a circuit is given by the following formula as shown below.

P = I²R

P = VI

where;

Percentage uncertainty gives the error associated with each measurement. The greater the value of percentage uncertainty, the greater the error associated with the measurement.

To determine the method that will given the most accurate measurement, we will find out the method with least error.

For the first method, =  I²R

Total uncertainty for first method =  I²R = ( 0.5 % )² x ( 0.1 % ) = 0.0025%

Total uncertainty for second method = VI = ( 0.5% x 0.5 % ) = 0.25 %

Thus, the measurement with the least uncertainty is the first method, I²R.

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To determine whether Daniel will be home before the storm hits, we need to determine the time it will take for the storm to reach Fort Collins and compare it to the time it will take for Daniel to reach home by bike.

Given:

Storm's speed = 25 km/hr = 25000 m/hr

Distance from Fort Collins = 75 km = 75000 m

Time of storm = distance / speed = 75000 m / 25000 m/hr = 3 hrs

If Daniel starts riding his bike home at 5:00pm, he needs to cover the distance from where he is to his home before the storm hits Fort Collins.

If he is able to maintain an average speed of 20km/h = 20000 m/h,

time = distance/speed = 75000 m/20000 m/h = 3.75 hrs

Since the storm will take 3 hours to reach Fort Collins and Daniel will take 3.75 hours to reach home by bike, he will be home before the storm hits.

The distance the car travels before coming to a stop can be calculated using the equation d = (v^2 - u^2)/2a, where v is the initial velocity, u is the final velocity, and a is the acceleration.

What is acceleration?

Acceleration is the rate of change of velocity over time. It is defined as the rate at which an object's speed or direction changes with respect to time. Acceleration is a vector quantity, meaning it has both magnitude and direction.

The SI unit for acceleration is meters per second squared (m/s2). It is also commonly expressed in feet per second squared (ft/s2). Acceleration can be positive, negative, or zero. Positive acceleration occurs when an object increases its speed, and negative acceleration when it decreases its speed. Zero acceleration occurs when an object's speed remains constant.

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The velocity of the skater relative to the billboard is 5.65 m/s east.

The velocity of the skater relative to the billboard is the measure of the change in position of the skater with respect to the billboard. That is, how fast is the skater moving away from the billboard.

Considering the signs of east and west direction, the formula for the relative velocity of the Skater is given as;

Vs/B = Vs - VB

where;

The magnitude of the velocity of the skater in west direction is given as;

Vs = V cos ( θ )

where;

Vs = 24.94 m/s  x cos ( 90 - 38 )

Vs = 24.94 m/s x cos ( 52 )

Vs = 15.35 m/s

The velocity of the skater relative to the billboard is calculated as follows;

west = negative direction

east = positive direction

Vs/B = -15.35 m/s  -  ( -21 m/s )

Vs/B = 5.65 m/s

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The force acting on the stools of the 88N and 112N.

What is meant by force?

A uniform plank of weight 120N rests on two stools as a midway between the stool.

(80 × 1.25) + (120 × 1.5) = B × 2.5

B = 112N

80 × 1.25) + (120 × 1.0) = A × 2.5

A = 88N

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.

Answer:

[tex]\Delta P \approx 7.2 \ N/cm^2}[/tex]

Explanation:

To calculate the difference in pressure that Alexa exerts on the ground when wearing high-heeled shoes compared to when she has bare feet, we can use the following formula for pressure:

[tex]\rightarrow P=\dfrac{F}{A}[/tex]

Where:

First, let's calculate the pressure when Alexa is wearing high-heeled shoes:

F = 560 N (given)

A = 58 cm² (given)

[tex]P_h=\dfrac{560}{58}\\\\\\\\\therefore P_h \approx 9.655 \ N/cm^2[/tex]

Next, let's calculate the pressure when Alexa has bare feet:

F = 560 N (given)

A = 230 cm² (given)

[tex]P_b=\dfrac{560}{230}\\\\\\\\\therefore P_h \approx 2.435 \ N/cm^2[/tex]

Finally, let's calculate the difference in pressure:

[tex]\Delta P= P_h-P_b\\\\\\\\\Longrightarrow \Delta P =9.655-2.435\\\\\\\\\therefore \boxed{\boxed{\Delta P \approx 7.2 \ N/cm^2}}[/tex]

Therefore, the difference in pressure that Alexa exerts on the ground when wearing high-heeled shoes compared to when she has bare feet is approximately 7.2 N/cm².

Here is an example of a Python program that calculates the average calories burned for a person based on the equation provided:.

def calories_burned(age, weight, heart_rate, time):

   calories = ((age * 0.2757) + (weight * 0.03295) + (heart_rate * 1.0781) - 75.4991) * time / 8.368

   return calories

age = int(input("Enter your age in years: "))

weight = int(input("Enter your weight in pounds: "))

heart_rate = int(input("Enter your heart rate in beats per minute: "))

time = int(input("Enter the duration of your exercise in minutes: "))

print("You have burned an average of", calories_burned(age, weight, heart_rate, time), "calories.")

This program defines a function calories_burned() that takes four inputs: age, weight, heart rate, and time. The function then uses the provided equation to calculate the average calories burned and returns the result.

The program also prompts the user to enter their age, weight, heart rate, and time, and then prints the result of the calculation.

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the information provided (34 and 42 seconds) does not give the necessary information to determine the speed at which the BEYBLADE is spinning in miles per hour. To calculate the speed of the BEYBLADE we need to know the distance traveled in each rotation. Also, you mentioned that the beyblade makes 1 rotation in 34 seconds and 42 seconds, which is not correct, it should be 1 rotation per second in 34 seconds, and 1 rotation per 42 seconds.

C. 200 m

The gravitational force between two objects is determined by the mass of each object and the distance between them. The gravitational force is inversely proportional to the square of the distance between the objects and directly proportional to the product of the masses. The gravitational force exerted by the ISS on the Crew Dragon is equal in magnitude but opposite in direction to the force exerted by the Crew Dragon on the ISS.

In the table provided, at a range of 200 m, the force on the Crew Dragon is 3.5 E-6 N and the force on the ISS is 3.5 E-6 N, showing that the forces are equal and opposite in direction. At other ranges, the force on the Crew Dragon and the force on the ISS are not equal, this means that the gravitational force at 200m is correct for their interaction.

The gravitational force between them would be twice as much.

option D is the correct answer.

Newton's law of universal gravitation states that the force of attraction between two object in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between the two objects.

Mathematically, the formula for Newton's law of universal gravitation is given as;

F = ( Gm₁m₂ ) / ( R² )

where;

When mass of one of the objects doubles, the new gravitational force will be calculated as;

F' = ( Gm₁ x 2m₂ ) / ( R² )

F' =  2( Gm₁m₂ ) / ( R² )

F' = 2F

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