its a vector quantity that is defined as the rate at which the object changes its velocity

Answer:

The force each one experienced

Explanation:

Hope this helps :)

Answer:

a. 2v₀/a   b. 2v₀/a  

Explanation:

a. Since you are moving with a constant velocity v₀, the distance, s you cover in time = t max is s = v₀t.

Since the dragster starts from rest with an acceleration, a, using

s' = ut + 1/2at² where u = 0 and s' = distance moved by dragster

s' = 0t + 1/2at²

s' = 1/2at²

Since the distance moved by me and the dragster must be the same,

s = s'

v₀t. =  1/2at²

v₀t. - 1/2at² = 0

t(v₀ - 1/2at) = 0

t= 0 or v₀ - 1/2at = 0

t= 0 or v₀ = 1/2at

t= 0 or t = 2v₀/a  

So the maximum time tmax = 2v₀/a

b. Since the distance covered by me to meet the dragster is s = v₀t in time, t = tmax which is also my distance from the dragster when it started. So, my distance from the dragster when it started is s =  v₀(2v₀/a)

= 2v₀/a  

The basketball has a slugs density of 0.0228 per gallon (m/V = 0.0427 slugs/1.8697 gallons) (approximately).

Based on normal gravity, the international foot, and the avoirdupois pound, one slug weighs 32.1740 lb (14.59390 kg). An item with a mass of 1 slug would weigh around 32.2 lbf, or 143 N, at the Earth's surface.

We need to apply the following conversion factor to convert grammes to slugs:

1 slug = 14.5939 kg

1 kg = 1000 g

Therefore:

1 slug = 14.5939 kg = 14.5939 x 1000 g = 14593.9 g

So, the mass of the basketball in slugs is:

m = 624 g / 14593.9 g/slug = 0.0427 slugs

To convert from cubic feet to gallons, we need to use the following conversion factor:

1 gallon = 0.133681 ft^3

Therefore:

0.25 ft⁻³ = 0.25 / 0.133681 = 1.8697 gallons

So, the volume of the basketball in gallons is:

V = 1.8697 gallons

The density of the basketball in slug/gal is:

ρ = m / V = 0.0427 slugs / 1.8697 gallons = 0.0228 slug/gal (approximately)

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The diameter of the smaller end of the pipe is approximately 0.78 meters.

To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.

The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity

Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2

Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2

Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30

Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30

0.36 * 13 = (diameter2/2)^2 * 30

4.68 = (diameter2/2)^2 * 30

Dividing both sides by 30:
0.156 = (diameter2/2)^2

Taking the square root of both sides:
0.39 = diameter2/2

Multiplying both sides by 2:
0.78 = diameter2

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Answer:

25 m

Explanation:

Let's assume that its acceleration is constant. We can determine the acceleration of the object by its definition

\(a= \frac{\Delta v}{\Delta t} = \frac{10-0(\frac ms)}{5 s} = 2 \frac m{s^2}\)

Now we can write the equation of motion

\(s(t)= s_0 + v_0t + \frac12at^2\)

where, the two terms \(s_0\ v_0\) represent the initial position and velocity respectively. Replacing the values we have ("from rest" means that initial velocity is 0)

\(s(5) = 0+0(5)+\frac12 2 (5)^2 = 25 m\)

The velocity of the rocket must be -225 m/s (negative indicating opposite direction) to completely stop the asteroid after the collision.

To completely stop the asteroid after collision, we can apply the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.

The momentum of an object is given by the product of its mass and velocity:

momentum = mass * velocity

For the asteroid before collision:

momentum_asteroid = mass_asteroid * velocity_asteroid

For the rocket before collision:

momentum_rocket = mass_rocket * velocity_rocket

Since the rocket collides inelastically with the asteroid, they stick together after the collision. The final velocity of the combined system (rocket and asteroid) will be zero since they come to a complete stop. Therefore, the total momentum after the collision is zero:

momentum_after_collision = (mass_asteroid + mass_rocket) * 0

Using the principle of conservation of momentum, we can set the initial momentum equal to the final momentum:

momentum_asteroid + momentum_rocket = momentum_after_collision

mass_asteroid * velocity_asteroid + mass_rocket * velocity_rocket = 0

Substituting the given values:

9000 kg * 45 m/s + 1800 kg * velocity_rocket = 0

Simplifying the equation, we can solve for the velocity of the rocket (velocity_rocket):

velocity_rocket = - (9000 kg * 45 m/s) / 1800 kg

velocity_rocket = - 225 m/s

Therefore, the velocity of the rocket must be -225 m/s (negative indicating opposite direction) to completely stop the asteroid after the collision.

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The material in which this metal be made of is Iron.

A magnet is referred to an object which produces a magnetic field. A magnet is typically made from Iron, nickel or cobalt.

In the diagram, the metal bar is that of a magnet which is also able to  deflect an electron beam which is the reason why Iron was chosen as the most appropriate choice.

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Given:-

Speed = 36 km/hr

converting speed into m/s

Speed = 36*5/18

Speed = 10 m/s

t = 10 sec  

By using the Formula

Distance = Speed * time

D = 10*10

D = 100 m

Hope it helps....

Light travels faster in air than in glass because air is an optically rarer medium.

The term speed of light refers to the speed with which light travels through diverse materials. We know that light travels faster in air than in glass owing the the difference in the nature and composition of the two materials.

Hence, the explanation of the student concerning the differences in angles does not account for the differences in the speed of light in materials. Light travels faster in air than in glass because air is an optically rarer medium.

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Answer:

162.71 s

Explanation:

Applying,

v = 2πr/t................... Equation 1

Where v = Velocity of the plane, r = radius of the plane, t = time, π = pie.

make t the subject of the equation

t = 2πr/v................ Equation 2

From the question,

Given: r = 2850 m, v = 110 m/s

Constant: π = 3.14

Substitute these values into equation 2

t = (2×3.14×2850)/(110)

t = 17898/110

t = 162.71 s

The minimum ratio of cation radius to anion radius at coordination number equal to 8 is 0.732.

In a crystal lattice, the coordination number refers to the number of anions surrounding a cation or the number of cations surrounding an anion. At a coordination number of 8, the cation is located at the center of a cube, and the anions are located at the corners of the cube.

To determine the minimum ratio of cation radius to anion radius at this coordination number, we can use the formula:

r_cation / r_anion = √(2) * (coordination number - 1) / (coordination number + 1)

Substituting the coordination number of 8, we get:

r_cation / r_anion = √(2) * (8 - 1) / (8 + 1) = 0.732

As a result, for coordination number 8, the lowest ratio of cation radius to anion radius is 0.732. This means that for a given anion radius, the cation radius cannot be smaller than 0.732 times the anion radius to achieve a coordination number of 8 in a crystal lattice. If the cation radius is smaller than this minimum value, the coordination number would be less than 8, and the crystal structure would be different.

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Answer:

Considering borrowers race sex and national origin

Explanation:

Edge

Lenders are prohibited from considering borrowers' race, sex and national origin.

Receiving something that will eventually be returned is the act of borrowing. In finance and economics, obtaining money is typically referred to as borrowing.

Simply put, borrowing is the act of obtaining money with the understanding that it will be required of the recipient to repay the same amount after a predetermined period of time. Most often, people or even various financial institutions may lend money.

The most dependable place to get financial aid is from banks. Apart from banks, consumers also frequently borrow money from consumer financing companies and other businesses.

Lenders are allowed to use  borrowers' information in a responsible manner;  explain to borrowers why their application was rejected, consider borrowers' sources of income other than salary. But lenders are prohibited from considering borrowers 'race, sex and national origin.

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The angle that the net force makes with respect to the x- axis, is determined as 55.3⁰.

The angle that the net force makes with respect to the +x axis, is determined as follows;

F = qvBsinθ

Fy =  qv(By)sinθ

Fx =  qv(Bx)sinθ

The angle that the net force makes with respect to the +x axis;

tanθ = Fy/Fx

tanθ = qv(By)sinθ / qv(Bx)sinθ

tanθ = By/Bx

tanθ = 0.065/0.045

tanθ = 1.444

θ = tan⁻¹(1.444)

θ = 55.3⁰

Thus, the angle that the net force makes with respect to the x- axis, is determined as 55.3⁰.

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Answer:

24 meters

Explanation:

Find the final velocity. 12m/s

d=[final-initial]/2×time

D=(6m/s)×4=24 m/s

In order to find the time when the infusion will finish, we can add 3 hours to 16 hours and 30 minutes to 00 minutes:

16 + 3 = 19h

00 + 30 = 30min

Therefore it will be 7:30 pm (or 19:30h) when the infusion finishes.

Voltage depends on the amount of resistance, current according to the Ohm's law, and, by definition, is the measurement of electrical pressure.

According to the Ohm's Law,  the current through a conductor between two points is directly proportional to the voltage across the two points.

Mathematically,

V ∝ I

V = IR

where, R is the resistance of the conductor and I is the current flowing in the conductor. So, the voltage depends on the amount of resistance and current.

Also, Voltage is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light.

Hence All of the above option in the given question are true.

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Answer:

the resultant wave is the algebraic sum of all the waves reaching that particular point at a given time.

Explanation:

imagine two or three waves reaching a particular particle x at the same time. The particle will vibrate those waves and give out or transmit a resultant wave which is the algebraic sum of the incoming two waves. If both the waves have the same amplitude and phase, the resultant wave will be amplified. However if the waves have the same amplitude and equal but opposite phase then the resultant wave will be a straight line

If a frictionless plane is 10.0 m long and inclined at 36.0°.

We can use conservation of energy to find the distance that the first sled travels up the incline. The potential energy of the sled at the bottom of the incline is zero, and its kinetic energy is:

KE = (1/2)mv^2

where m is the mass of the sled and v is its speed. At the point where the sled stops, all of its kinetic energy has been converted into potential energy, so we can write:

mgh = (1/2)mv^2

where h is the height that the sled has traveled up the incline. Solving for h, we get:

h = (v^2)/(2g)

where g is the acceleration due to gravity. Using the given values, we have:

h = (6.00 m/s)^2 / (2 * 9.81 m/s^2) = 1.83 m

So the first sled travels a distance of 10.0 m - 1.83 m = 8.17 m up the incline.

b. To find the initial speed of the second sled, we can use conservation of energy again. At the top of the incline, the sled has potential energy:

PE = mgh

where h is the height of the incline. As the sled slides down the incline, its potential energy is converted into kinetic energy:

KE = (1/2)mv^2

where v is the speed of the sled at the bottom of the incline. We can equate these two expressions and solve for v:

mgh = (1/2)mv^2

v = sqrt(2gh)

Using the given values, we have:

v = sqrt(2 * 9.81 m/s^2 * 10.0 m * sin(36.0°)) = 12.2 m/s

So the second sled must be released from the top of the incline with an initial speed of 12.2 m/s.

The position of the sled as a function of time is given by:

y = -0.5gt^2 + Vi*t + h

where y is the vertical position of the sled, t is the time, Vi is the initial speed of the sled, and h is the height of the incline. At the bottom of the incline, y = 0, so we can solve for the time it takes for the second sled to reach the bottom:

0 = -0.5gt^2 + Vi*t + h

t = (Vi ± sqrt(Vi^2 - 2gh)) / g

Since we want both sleds to reach the bottom at the same time, we set the time for the first sled to slide down the incline equal to this expression for t and solve for Vi:

t = sqrt(2h/g) = sqrt(2 * 1.83 m / 9.81 m/s^2) = 0.619 s

0 = -0.5gt^2 + Vi*t + h

Vi = (h - 0.5gt^2) / t

Vi = (1.83 m - 0.5 * 9.81 m/s^2 * (0.619 s)^2) / 0.619 s

Vi = 5.68 m/s

So the initial speed of the second sled is about  5.68 m/s

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Answer:

A. pushing a car that isn't moving

Given data

*The given distance from the base of the ledge is R = 2.25 m

*The given speed is v = 3.5 m/s

The diagram is given below

(a)

Let (h) be the height of the edge

The formula for the distance from the base of the ledge is given as

Substitute the known values in the above expression as

Hence, the height of the ledge is h = 2.025 m

(b)

The formula for the time taken by the boulder to fall to the bottom of the cliff is given as

Substitute the known values in the above expression as

Hence, the time taken by the boulder to fall to the bottom of the cliff is t = 0.642 s

Sheena's speed with respect to the starting point on the bank is 2.07 mi/h.

To solve this problem, we can break Sheena's velocity into its horizontal and vertical components. The horizontal component of Sheena's velocity should be equal to the rate at which she crosses the river, while the vertical component of her velocity should be equal to the rate at which she is carried downstream by the current. The resulting velocity with respect to the starting point on the bank can be found using the Pythagorean theorem.

Let's first find the rate at which Sheena crosses the river. We can use the sine function to find this value, as follows:

sin(25°) = opposite/hypotenuse

opposite = sin(25°) x hypotenuse

opposite = sin(25°) x 2.20 mi/h

opposite = 0.9437 x 2.20 mi/h

opposite = 2.07 mi/h

So Sheena's horizontal velocity is 2.07 mi/h.

Now let's find the rate at which Sheena is carried downstream by the current. We can use the cosine function to find this value, as follows:

cos(25°) = adjacent/hypotenuse

adjacent = cos(25°) x hypotenuse

adjacent = cos(25°) x 1.90 mi/h

adjacent = 1.6987 mi/h

So Sheena's vertical velocity is 1.6987 mi/h.

Finally, we can use the Pythagorean theorem to find her speed with respect to the starting point on the bank:

velocity^2 = (horizontal velocity)^2 + (vertical velocity)^2

velocity^2 = (2.07 mi/h)^2 + (1.6987 mi/h)^2

velocity^2 = 4.29 mi^2/h^2

velocity = sqrt(4.29) mi/h

velocity = 2.07 mi/h

Therefore, Sheena's speed with respect to the starting point on the bank is 2.07 mi/h.

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The amount of energy needed to power a 0.20 kW bulb for one minute would be just sufficient to lift a 2.5 kg object through a vertical distance of approximately 29.03 meters.

To calculate the energy required to lift a 2.5 kg object through a vertical distance, we need to consider the gravitational potential energy formula:

Potential energy (PE) = mass (m) × gravity (g) × height (h)

Where:

m = 2.5 kg (mass of the object)

g = 9.8 m/s² (acceleration due to gravity on Earth)

h = ? (height)

First, let's find the height (h) by rearranging the formula:

h = PE / (m × g)

Now, let's calculate the potential energy (PE) needed to lift the object. We are given that the power of the bulb is 0.20 kW, and we want to find the energy required for one minute. To convert kilowatts (kW) to joules (J), we multiply by the conversion factor of 3,600 (60 seconds × 60 minutes):

Energy (E) = power (P) × time (t)

E = 0.20 kW × 1 min × 3,600 J/kW

Now, we can substitute the values into the equation to find the height:

h = (0.20 kW × 1 min × 3,600 J/kW) / (2.5 kg × 9.8 m/s²)

Calculating the expression on the right side:

h ≈ 0.20 × 1 × 3,600 / (2.5 × 9.8) ≈ 29.03 meters (rounded to two decimal places)

Therefore, the amount of energy needed to power a 0.20 kW bulb for one minute would be just sufficient to lift a 2.5 kg object through a vertical distance of approximately 29.03 meters.

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To calculate the average speed of the car, we can use the formula:

Average speed = Total distance / Total time

Given information:

Number of laps = 60

Track length per lap = 3.6 km

Total time = 2.4 hours

First, let's calculate the total distance traveled by the car:

Total distance = Number of laps * Track length per lap

Total distance = 60 * 3.6 km

Total distance = 216 km

Now, we can calculate the average speed:

Average speed = Total distance / Total time

Average speed = 216 km / 2.4 hours

Average speed ≈ 90 km/h

So, the average speed of the car is approximately 90 km/h.

The reading on a vernier caliper can be represented as 45.75mm.

1. Understand the components of a vernier caliper: A vernier caliper consists of two main scales - the main scale and the vernier scale. The main scale is typically graduated in millimeters, while the vernier scale is a smaller scale that slides along the main scale.

2. Locate the main scale: Identify the main scale on the vernier caliper. The main scale is usually marked on the fixed jaw of the caliper and extends in a linear fashion.

3. Identify the vernier scale: The vernier scale is attached to the movable jaw of the caliper. It slides along the main scale and consists of smaller divisions.

4. Align the zero marks: Close the jaws of the caliper and ensure that the zero marks on both the main and vernier scales are aligned.

5. Determine the main scale reading: Read the main scale value that aligns with the zero mark on the vernier scale. In this case, the main scale reading will be 45mm.

6. Locate the vernier scale reading: Examine the vernier scale and identify the division on the vernier scale that lines up perfectly with a division on the main scale. This will give you the additional measurement beyond the main scale reading.

7. Determine the vernier scale reading: Find the division on the vernier scale that aligns with a division on the main scale. The value of this vernier division corresponds to the additional measurement. In this case, the vernier scale reading will be 0.75mm.

8. Add the main scale and vernier scale readings: Combine the main scale reading and the vernier scale reading to get the final measurement. In this case, the final reading will be 45.75mm.

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(1) The work done by the gas during this process is -13.71 J.

(2) The heat added to the gas during this process 13.71 J.

The work done by the gas is calculated as follows;

W = -nRT ln(V₂/V)

Where;

The number of moles of gas is calculated as follows;

n = PV/RT

n = (8 kPa x 6 L) / (8.314 J/mol.K x 273 K)

n = 0.021 mol

The work done by the gas is calculated as follows;

W = -nRT ln(V₂/V)

W = -(0.021 x 8.314 x 273) ln(8/6)

W = -13.71 J

For isothermal process, the change in internal energy is zero.

So, the heat added to the gas is equal to the work done on the gas.

Q = -W = 13.71 J

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Answer:

Δτ = 50 N.m

Explanation:

The torque applied on an object is given by the product of the force applied on it and the perpendicular distance between the force and the axis of rotation of the object. That is:

τ = F r

where,

τ = Torque applied on the object

F = Force applied on it

r = distance from axis of rotation

FOR HANDLE SIDE OF DOOR:

τ₁ = F r₁

where,

τ₁ = Torque applied on the object = ?

F = Force applied on it = 100 N

r₁ = distance from axis of rotation = 1 m

Therefore,

τ₁ = (100 N)(1 m)

τ₁ = 100 N.m

FOR MIDDLE OF DOOR:

τ₂ = F r₂

where,

τ₂ = Torque applied on the object = ?

F = Force applied on it = 100 N

r₂ = distance from axis of rotation = 1 m/2 = 0.5 m

Therefore,

τ₂ = (100 N)(0.5 m)

τ₂ = 50 N.m

Now, the difference between the amount of torque in both cases is:

Δτ = τ₁ - τ₂

Δτ = 100 N.m - 50 N.m

Δτ = 50 N.m

Answer:

Its path for transmitting electric current.

Explanation:

An electric circuit includes a device that gives energy to the charged particles constituting the current, such as a battery or a generator; devices that use current, such as lamps, electric motors, or computers; and the connecting wires or transmission lines.

Answer:

Waxing Gibbous

Explanation:

New Moon Rises at sunrise, transits meridian at noon, sets at sunset

Explanation:

Answer:

Explanation:

Given,

As we know,

Kinetic Energy,

Therefore ,

Kinetic energy of the object is,

\( = \frac{1}{2} \times 12 \: kg \times 10 \: m {s}^{ - 1} \times 10 \: m {s}^{ - 1} \)

= (6 × 10 × 10) J [As 'J' stands for 'joule']

= 600 J (Ans)