A rocket designed for vertical takeoff has a mass of 5398kg. Find the net work done on the rocket as it accelerates upward at 2.0m/s through a distance of 30.0m starting from rest

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)

The distance from A to B is 39.375 Km.

The total distance travelled by the cyclist is given by the formula below:

Total distance = (15 + 20)/2 * 4.5

Total distance = 78.75 Km

Thus, distance from A to B = 78.75/2 = 39.375 Km

In conclusion, the total distance travelled is determined from the average speed and total time taken.

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Answer:

STATES OF MATTER The three important states of the matter are (i) Solid state (ii) Liquid state (iii) Gaseous state, which can exist together at a particular temperature and pressure e.g. water has three states in equilibrium at 4.58 mm and 0.0098ºC.

Explanation:

The potential energy is at the maximum when you reach the top of your jump on a trampoline. The correct answer is option B.

Potential Energy is the type of energy an object possesses by virtue of its position relative to others, stresses within itself, electric charge, and other factors. Potential energy exists in various forms, including gravitational potential energy, elastic potential energy, chemical potential energy, and electrical potential energy.

This type of energy can be converted into another type of energies. Examples, a charged battery has potential energy and it can be used as electrical potential energy. Petrol, diesel and and gas have chemical potential energy and be used as kinetic energy.

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The resultant of two displacement vectors having opposite directions is the difference of the two displacements, having the same direction as the smaller vector.

When two displacement vectors have opposite directions, it means they are pointing in opposite ways. In other words, one vector is in the opposite direction of the other. To find the resultant of these vectors, we need to subtract one vector from the other.

If we consider two displacement vectors, let's say vector A and vector B, and they have opposite directions, we can represent them as A and -B.

To find the resultant, we subtract vector B from vector A: A - (-B) or A + B.

The resultant will have the same direction as the smaller vector. This is because when we subtract a larger vector from a smaller vector, the resultant will have the direction of the smaller vector.

Therefore, the correct option is: "The resultant is the difference of the two displacements, having the same direction as the smaller vector."

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The energy lost to friction and air resistance is 186 J.

option B.

The energy lost to friction and air resistance is calculated from the change in the mechanical energy of the pendulum.

The initial potential energy of the pendulum at the initial position is calculated as;

PEi = mghi

where;

P.Ei = 12 kg x 9.8 m/s² x 20 m

P.Ei = 2,352 J

The final kinetic energy of the pendulum is calculated as follows;

K.Ef = 0.5 x 12 kg x (19 m/s)²

K.Ef = 2,166 J

ΔE = 2,166 J - 2,352 J

ΔE = -186 J

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Answer:

\(1000\; {\rm W}\).

Explanation:

Joule is a unit for work, while watt is a unit for power- the rate at which work is being done. Divide work by time to find power.

By definition, one watt is equivalent to one joule-per-second. In other words: \(1\; {\rm W} = 1\; {\rm J \cdot s^{-1}}\). Note that the unit of time in this question is "minute", not second.

Apply unit conversion and ensure that the unit of time is "second":

\(\begin{aligned} 1\; \text{minute} &= 1\; \text{minute} \times \frac{60\; {\rm s}}{1\; \text{minute}} = 60\; {\rm s}\end{aligned}\).

The power of this generator would thus be:

\(\begin{aligned} \text{power} &= \frac{\text{work}}{\text{time}} \\ &= \frac{60\, 000\; {\rm J}}{60\; {\rm s}} \\ &= 1\, 000\; {\rm W} \end{aligned}\).

Answer:

Oh! I just learned abt this

Explanation:

the body is said to be in equilibrium if it is resting or moving with uniform velocity.

Answer: The body is said to be in balance if it is at rest or moving at a uniform speed. In other words, if the body's linear and angular acceleration is zero, the body is said to be in balance. 1

Answer:

How much kinetic energy does a 4 Kg cat have while running at 9 m/s?

its 5 J of kinetic energy.

Explanation:

Answer:

162 joules

Explanation:

Kinetic Energy = 1/2 * m * v^2

                        = 1/2 * 4 * 9^2 = 162 joules

The magnitude of the magnetic field at the point of the proton moving in the negative direction is equal to  18.39 × 10⁻¹⁵ T.

The magnetic force direction that is experienced by the proton moving in the negative direction is equal to  4.71 x 10⁻²⁸ N.

The magnitude of the magnetic field at distance 'r' at the point of the proton moving in the negative direction is determined as follows;

F = qvB = (kq²)/r²

qvB = kq²/r²

B = kq/vr²

where, k is the coulomb's constant, r is the distance between the protons, q is the magnitude of the charge of the protons, and v is the speed of the proton.

Given the charge n the proton, q = 1.602 x 10⁻¹⁹C

The speed of the proton, v = 1.6 x 10⁵ m/s

B = (9 x 10⁹ x 1.602 x 10⁻¹⁹) / (1.6 x 10⁵ m/s x 0.7 x 0.7)

B = 18.39 × 10⁻¹⁵ T

The magnetic force experienced by the proton in the negative direction is calculated as follows;

F = qvB

F = 1.602 x 10⁻¹⁹ x 1.6 x  10⁵ x 18.39 × 10⁻¹⁵ T

F = 47.1 x 10⁻²⁹ N

F = 4.71 x 10⁻²⁸ N

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The force exerted at other end is 100N.

                              W = (F cos θ) d = F. d

Where,

W is the work done by the force.

F is the force, d is the displacement caused by force

θ is the angle between the force vector and the displacement vector

Let , F' = Force exerted on ladder at other end

       d' = distance moved = d/2 (given)

i.e.  W = F'd' and W = Fd

Using these two equations we get, F'd' = Fd

i.e. F' = Fd/d'

Given, F = 50N and d' = d/2

Putting these values in above equation we get, F' = 100N

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When L = L₁, the circuit is a series RL circuit. The voltage across the inductor is given by Vₗ = XL₁i, where XL₁ = ωL₁ is the inductive reactance and i is the current flowing through the circuit. The voltage across the resistor is given by VR = Ri. The voltage across the capacitor is zero since it is connected in series with the inductor and the resistor.

The total voltage across the circuit is given by v = V√2 cos(ωt). By Kirchhoff's voltage law, we have v = Vₗ + VR,

V√2 cos(ωt) = XL₁i + Ri

The current i can be written as i = (1/Z) V√2 cos(ωt - φ), where Z = √(R² + XL₁²) is the impedance of the circuit and φ is the phase angle between the current and the voltage. Substituting i into the equation above, we get:

V√2 cos(ωt) = XL₁/Z V√2 cos(ωt - φ) + R/Z V√2 cos(ωt - φ)

Equating the coefficients of cos(ωt) and cos(ωt - φ), we get:

1 = XL₁/Z cos φ + R/Z sin φ

XL₁ sin φ = Z - R cos φ

tan φ = XL₁ / (Z - R cos φ)

The voltage across the inductor is given by:

Vₗ = XL₁ i = XL₁/Z V√2 cos(ωt - φ)

Vₗ/V = XL₁/Z cos φ

Substituting tan φ into this equation, we get:

Vₗ/V₁ = XL₁/Z₁ √[1 - (XL₁/Z₁)²] ... (1)

When L = L₂, the circuit is a series RC circuit. The voltage across the capacitor is given by VC = XC₂i, where XC₂ = 1/(ωC₂) is the capacitive reactance.  The total voltage across the circuit is given by v = V√2 cos(ωt). By Kirchhoff's voltage law, we have v = VC + VR, which gives:

V√2 cos(ωt) = XC₂i + Ri

Following the same steps as in the previous case, we can show that:

Vₗ/V₂ = XC₂/Z₂ √[1 - (XC₂/Z₂)²] ... (2)

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Answer:

\(force = mass \times acceleration \\ 100 = 50 \times a \\ a = 2 \: {ms}^{ - 2} \\ from : \: \: v = u + at \\ 150 = 100 + (2 \times t) \\ 50 = 2t \\ time = 25 \: seconds\)

Explanation:

You want  N/m

 N = 66 * 9.81

 m = 2.3 x 10^-2 m

66* 9.81 / 2.3 x 10^-2  = 28150 =  28 000 N/m    to two S D

Answer:490J

Explanation:

A rock with a mass of 5.0 kg is carried up a small hill 1 0 meters high. How much work had to be done in carrying the rock uphill?

P.E = 490J Quizlet answer

Answer:

Individual H2O molecules are V-shaped, consisting of two hydrogen atoms (depicted in white) attached to the sides of a single oxygen atom (depicted in red). Neighboring H2O molecules interact transiently by way of hydrogen bonds (depicted as blue and white ovals).

A wall less than or equal to 14.7 m in height is the highest the player can clear.

Use the kinematic equations of motion to solve the problem. First, we can find the time it takes for the ball to travel 99.1 m horizontally:

d = vt

t = d / v

t = 99.1 m / 36.2 m/s

t ≈ 2.74 s

Now, use the vertical motion equation to find the maximum height the ball reaches:

y = yo + vot + (1/2)at²

where:

yo = 0.996 m (initial height)

vo = v sinθ = 36.2 m/s x sin(30°) ≈ 18.1 m/s (initial vertical velocity)

a = -9.81 m/s² (acceleration due to gravity, pointing downward)

t = 2.74 s (time of flight)

y = 0.996 m + 18.1 m/s x 2.74 s + (1/2) x (-9.81 m/s²) x (2.74 s)²

y ≈ 14.7 m

Therefore, the tallest wall the player can clear is a wall with a height less than or equal to 14.7 m.

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Answer:

2,4,5

Explanation:

Answer:

2,4,5

Explanation:

I got it right on edge 2021

To find the mass in kilograms, you need to know the object's weight in newtons and the acceleration due to gravity. The formula for finding mass is mass = weight / acceleration due to gravity. So if you have an object with a weight of 100 N and the acceleration due to gravity is 9.8 m/s^2, the mass would be 10.204 kg.

The mass of the block is 0.025 kg or 25 g, when the spring has k = 28 N/m, and compresses 0.11 m before bringing the block to rest.

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Answer:

Heat flow is the movement of heat.

Explanation:

Heat flows in solids by conduction, which occurs when two objects in contact with each other transfer heat between them. That happens because the molecules hit each other, and the faster moving molecules in the hot object spread that energy into the cooler object

Credit to, https://study.com/academy/lesson/heat-flow-in-solids-fluids.html

slight reflect but most goes through because glass is transparent

Most of the light waves that strike a clear pane of glass reflects. Details about reflection can be found below.

Refection in physics is the property of a propagated wave being thrown back from a surface such as a mirror.

Mirror is an example of an object that could be hit by an incumbent wave, however, most of the light waves that hit the mirror surface gets reflected back.

Therefore, most of the light waves that strike a clear pane of glass reflects.

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Answer: horizontal component

Explanation: only force which is parallel to motion does work

A force applied at an angle causes an object to move horizontally only force which is parallel to motion does work.

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force.

An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

A force applied at an angle causes an object to move horizontally only force which is parallel to motion does work.

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Answer:

Explanation:

The radiation of components in a fusion reactor is not much enough for the materials to be reused or recycled within centuries

The moment of inertia is 0.00625 kg·m^2 for both the initial and final speeds

To calculate the moment of inertia when the speed of the wheel increases, we need to know the distribution of mass in the body. Assuming the body is a thin ring with the mass concentrated on the rim, we can use the formula for the moment of inertia of a thin ring:

I = m * \(r^2\)

where I is the moment of inertia, m is the mass, and r is the radius.

Given:

Mass of the body (m) = 100 g = 0.1 kg

Diameter of the circular path = 500 mm

Radius (r) = Diameter / 2 = 500 mm / 2 = 250 mm = 0.25 m

Calculate the initial moment of inertia:

Initial speed = 450 rpm

Initial angular velocity (ω1) = 450 rpm * 2π / 60 = 47.12 rad/s

Using the formula for moment of inertia:

I1 = m * r^2

I1 = 0.1 kg * (0.25 m)^2

I1 = 0.00625 kg·m^2

Calculate the final moment of inertia:

Final speed = 750 rpm

Final angular velocity (ω2) = 750 rpm * 2π / 60 = 78.54 rad/s

Using the formula for moment of inertia:

I2 = \(m * r^2\)

I2 = \(0.1 kg * (0.25 m)^2\)

I2 = \(0.00625 kgm^2\)

Therefore, the moment of inertia remains the same as the mass and radius do not change. The moment of inertia is 0.00625 kg·m^2 for both the initial and final speeds.

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The equivalent temperature in Celsius scale is (86°F − 32) × 5/9 = 30°C

Take the °F temperature and subtract 32

Multiply this number by 5.

Divide this number by 9 to obtain your answer in °C.

The formula to convert °F to °C is:

T(°C) = (T(°F) - 32) × 5/9

converting 86 degrees Fahrenheit into degrees Celsius:

T(°C) = (86°F - 32) × 5/9

T(°C) = 30 °C

(86°F − 32) × 5/9 = 30°C

When doing the temperature conversion, one quick way to make certain you did the conversion right is to remember Fahrenheit temperatures are higher than the corresponding Celsius scale until you get down to -40°, which is where the Celsius and Fahrenheit scales meet. Below this temperature, degrees Fahrenheit are lower than degrees Celsius.

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The traffic cop needs 23.3 seconds to pass the automobile.

When your velocity (not speed) changes, you are accelerating. A automobile moving at a steady 100 km/h in a straight line has no acceleration. Average acceleration is equal to (change in velocity) / (duration). The car's acceleration is zero because its change in velocity is also zero.

\(d1 = v1*t1 = 35.0 m/s * 1 s = 35.0 m\)

\(d = d1 = 35.0 m\)

\(d2 = v2*t + (1/2)at^2\)

\(d2 = (1/2)at^2\)

\(v2*t + (1/2)at^2 = (1/2)at^2\)

\(v2*t = (1/2)at^2\)

Solving for t, we get:

\(t = (2v2/a) = (235.0 m/s)/3.0 m/s^2 = 23.3 s\) (rounded to 2 decimal places)

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Answer:

increasing the temperature of the object