A see saw 5 m long with a mass of 18 kg has a 31 kg child seated 0.3 m from the left edge. the pivot is located 2 m from the left edge of the see saw. if the child sits 3.9 m from the left edge, what must the mass of the second child be to balance the system?

The change in momentum of Kara's car is -1.43 × 10⁴ kg.m/s, the magnitude of force is -1.021 × 10⁵ N.

Force is the external agent which causes the motion of an object or it is the resistant which makes the object come at rest from motion. It is a vector quantity, because it has both the magnitude and direction.

Mass of Kara's car = 1300 Kg

moving with speed = 11 m/s

time taken to stop = 0.14 s

final velocity = 0 m/s

distance between Lisa ford and Kara's car = 30 m

a) change in momentum of Kara's car

Δ P = m Δ v          

Δ P = m(vf - vi)

Δ P = 1300 (0 - 11)

Δ P = -1.43 × 10⁴ kg.m/s

The impulse is equal to the change in momentum of the car

I = -1.43 × 10⁴ kg.m/s

Magnitude of the force experienced by Kara

I = F × t

where, I is impulse acting on the car

t is time

- 1.43 × 10⁴ = F × 0.14

F = -1.021 × 10⁵ N

Negative sign represents the direction of the force.

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Your question is incomplete, most probably the complete question is:

Kara Less was applying her makeup when she drove into South's busy parking lot last Friday morning. Unaware that Lisa Ford was stopped in her lane 30 feet ahead, Kara rear-ended Lisa's rented Taurus. Kara's 1300-kg car was moving at 11 m/s and stopped in 0.14 seconds.

a. Determine the momentum change of Kara's car.

b. Determine the impulse experienced by Kara's car.

c. Determine the magnitude of the force experienced by Kara's car.

Answer:

Mass.

Explanation:

I took the quiz and got the answer right

The net torque about point O for the two forces applied as in the figure below is 17.4Nm

Find the diagram to the question attached

Given the following parameters

F1 = 7.80N

F2=11.0N

Taking the force along the vertical;

τ₂ = 7.80sin30(2.0)

τ₂ = 15.6Nm

For the other force along the vertical;

τ₁ = 11.0 * 3

τ₁ = 33Nm

Net torque is expressed as =  33Nm -  15.6Nm

Net torque = 17.4Nm

Hence the net torque about point O for the two forces applied as in the figure below is 17.4Nm

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Answer:

When applying Fleming's rule to electrons, remember that the direction of the current is opposite to that of the electrons' motion. The electron follows a circular path, the magnetic force being the unbalanced force required to cause acceleration towards the centre of the circle.

Answer with Explanation:

As a charged particle, the electron moves in a circular motion in a magnetic field because of a magnetic force that is perpendicular to its movement/travel (also known as velocity). This force doesn't affect the moving electron except for its motion; thus, the electron remains at constant or uniform speed. This is according to Fleming's rule regarding electrons.

Remember that this happens provided that the charged particle will move at right angle to the area of magnetic field.

a. traction

If your vehicle has a high center of gravity or if the surface traction is less than ideal, it is important to enter a curve slower than the posted speed. This is because vehicles with a high center of gravity or poor surface traction are more prone to instability and are more likely to roll over or lose control when negotiating sharp turns or curves at high speeds.

Traction refers to the friction or grip between the tires of a vehicle and the road surface. Poor surface traction can be caused by a variety of factors, such as wet or slippery roads, loose gravel or debris, or worn or damaged tires. When surface traction is poor, it becomes more difficult for the tires to maintain contact with the road and to transmit the forces of acceleration, braking, and steering to the road.

By entering a curve slower than the posted speed, you can reduce the lateral forces acting on your vehicle and give your tires more time to grip the road. This can help you maintain control and stability, and reduce the risk of accidents or injuries. It is important to always adjust your speed and driving style to suit the conditions of the road and the capabilities of your vehicle.

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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 displacement of the runner after four seconds is 78.4 m.

We know that in this case, we are dealing with a case of an object that has a motion under gravity. We are told that the road runner an fell straight down off a cliff. The fact that we have been told that the runner just fell down the cliff means that the initial velocity of the runner would have to be taken in this context as zero since the runner was dropped from a height as shown.

Acceleration of the runner (g) = 9.8 m/s^2

Initial velocity of the runner (u) = 0 m/s

Time take (t) = 4 seconds

We then have;

h = ut + 1/2gt^2

If we then know that the initial velocity of the person is zero, then we have;

h = 1/2gt^2

h = 0.5 * 9.8 * (4)^2

h = 78.4 m

The height is 78.4 m.

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Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe.

Galileo Galilei played a crucial role in challenging the prevailing geocentric model of the universe proposed by Aristotle and supported by Ptolemy. He provided several lines of evidence that effectively disproved their theories and supported the heliocentric model proposed by Nicolaus Copernicus. Some of the key evidence used by Galileo includes:

1. Observations through a telescope: Galileo was one of the first astronomers to use a telescope to observe the heavens. His telescopic observations revealed several important discoveries that contradicted the Aristotelian-Ptolemaic worldview. He observed the phases of Venus, which demonstrated that Venus orbits the Sun and not Earth. He also observed the four largest moons of Jupiter, now known as the Galilean moons, which provided evidence for celestial bodies orbiting a planet other than Earth.

2. Sunspots: Galileo's observations of sunspots provided evidence that the Sun is not a perfect celestial body, as suggested by Aristotle. Sunspots indicated that the Sun has imperfections and undergoes changes, challenging the notion of celestial perfection.

3. Mountains on the Moon: Galileo observed the rugged and uneven surface of the Moon, which contradicted Aristotle's belief in celestial spheres made of perfect, unchanging material. The presence of mountains on the Moon suggested that celestial bodies are subject to the same physical laws as Earth.

4. Phases of Venus: Galileo's observations of the phases of Venus provided direct evidence for the heliocentric model. As Venus orbits the Sun, it goes through phases similar to the Moon, ranging from crescent to full. This observation strongly supported the idea that Venus revolves around the Sun.

These lines of evidence presented by Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe. His work marked a significant turning point in the history of science and laid the foundation for modern astronomy.

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Answer:

Explanation:

initial angular speed ω₀ = 0

final angular speed = ω

time = t

angular acceleration α = 1.88 rad /s ² , θ = angle of rotation in radian

ω² = ω₀² +2 α θ

7.2² = 0 + 2 x 1.88 x  θ

θ = 13.79 rad

let n be no of rotation

2πn = 13.79

2 x 3.14 x n = 13.79

n = 2.2

The car is moving at approximately 12.5 meters per second.

The kinetic energy (KE) of an object can be calculated using the formula:

KE = 1/2 * m * \(v^2\)

where

KE = kinetic energy,

m =Mass of the object, and

v = velocity.

In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .

Substituting the  values , we have:

125,000 J = 1/2 * 1600 kg *\(v^2\)

Now, we can solve for v by rearranging the equation:

\(v^2\) = (2 * 125,000 J) / 1600 kg

\(v^2\) = 156.25 \(m^2/s^2\)

Taking the square root, we find:

v = √156.25\(m^2/s^2\)

v ≈ 12.5 m/s

Therefore, the car is moving at approximately 12.5 meters per second.

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The x-coordinate of the shell where it explodes, relative to its firing point, is approximately 7688.1 meters, and the y-coordinate is approximately 9507.8 meters.

If an automobile is at rest, its beginning velocity is 0.The starting velocity of an automobile that stops after using the brakes will be greater than zero, but the ultimate velocity will be zero.

The kinematic equations of motion can be used to resolve this issue.We can break down the initial velocity into its x- and y-components:

Vx = V0 cosθ = (300 m/s) cos(55.5°) ≈ 163.3 m/s

Vy = V0 sinθ = (300 m/s) sin(55.5°) ≈ 247.2 m/s

Next, we can use the equations of motion to find the shell's position after 47.0 seconds. The x-coordinate is given by:

x = Vx t = (163.3 m/s)(47.0 s) ≈ 7688.1 m

The y-coordinate is given by:

y = Vy t + (1/2)gt²= (247.2 m/s)(47.0 s) + (1/2)(9.81 m/s²)(47.0 s) ≈ 9507.8 m

where g is the acceleration due to gravity.

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Answer:

Average speed \(= 2.5\) meter per second

Explanation:

Given

The total distance walked \(= 2250\) meters

The total time taken to walk \(2250\) meters is \(15\) minutes

In one minute there are \(60\) seconds

As we know Average speed is equal to total distance travelled divided by total time taken

Hence,

Average speed

\(\frac{2250}{15*60} \\2.5\)meter per second

The match is going to be as follow:

1 -  a

2 - b

3 - d

4 - c

5 - b

6 - e

1 - Crest : The crest is the highest point or crest of the wave. This is the point at which the wave reaches its maximum positive change or amplitude.

2- Wavelength : Wavelength is the distance between two consecutive points of a wave that have the same phase. It is usually represented by the symbol λ (lambda) and is usually measured in units of length such as meters (m), centimeters (cm), or nanometers (nm).

3- Trough : A trough is the lowest point or valley in a wave. This is the point at which the wave reaches its maximum negative displacement or amplitude.

4- Amplitude : Amplitude refers to the maximum displacement or magnitude of a wave at its equilibrium or resting point. In other words, it represents the maximum distance at which the wave oscillates or deviates from its position or zero.

5-Wavelength : Wavelength is the distance between two consecutive points of a wave that have the same phase. It is usually represented by the symbol λ (lambda) and is usually measured in units of length such as meters (m), centimeters (cm), or nanometers (nm).

6-Amplitude : Amplitude refers to the maximum displacement or magnitude of a wave at its equilibrium or resting point. In other words, it represents the maximum distance at which the wave oscillates or deviates from its position or zero.

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The final velocity of the red ball is 18 m/s.

The term momentum has to do with the product of the mass and the velocity of an object We know that the momentum is always conserved in accordance with the Newton third law. Also it is clear that the momentum before collision is equal to the total momentum after collision and we are going to apply this principle here.

Then;

Mass of the blue ball =  6 kg

Mass of the red ball =  1 kg

Initial velocity of the blue ball =  4 m/s

Initial velocity of the red ball = 0 m/s

Final velocity of the red ball = ??

Final velocity of the blue ball =  1 m/s

We now have;

(6 * 4) + (1 * 0) = (1 * v) + (6 * 1)

24 = v + 6

v = 24 - 6

v = 18 m/s

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Answer:

Kinetic and potential

potential (didnt say its moving)

Kinetic and potential

kinetic

kinetic

kinetic

potential

kinetic and potential

kinetic (might have potential)

kinetic

Vehicles need to be serviced for several reasons such as preventing costly repairs and improving fuel economy.

First, regular maintenance can help to prevent costly repairs down the road. Second, maintenance can help to improve fuel economy and emissions. Third, maintenance can help to keep your vehicle safe and reliable.

The servicing requirements for petrol/diesel and electric vehicles differ in a number of ways. Petrol/diesel vehicles require oil changes more frequently than electric vehicles. This is because petrol/diesel engines use oil to lubricate the moving parts, while electric motors do not. Petrol/diesel vehicles also require tune-ups more frequently than electric vehicles.

This is because petrol/diesel engines have more moving parts that need to be synchronized, while electric motors have fewer moving parts.

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Answer:

21.73 kg

Explanation:

Applying,

T = 2π√(m/k)............... Equation 1

Where T = period, m = mass on the spring, k = spring constant, π = pie.

make m the subject of the equation

m = T²k/4π²................. Equation 2

From the question,

Given: T = 3.45 s, k = 72.0 N/m, π = 3.14

Substitute these values into equation 2

m = (3.45²×72)/(4×3.14²)

m = 21.73 kg.

Hence the mass should be 21.73 kg

Answer:

D. Turning the switch on completes the circuit between the power source and the load.

The power switch on the computer network should be applied when the switch is turned on that lies between the load and the power source. hence, the option d is correct.

The power button does have a cable that should be linked to the 2 pins on the motherboard. If the power button is pressed so here the circuit should be closed on the mainboard.

The power supply should be received the signal so that the supply should be done to the computer along with the power.

hence, the option d is correct.

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Answer:

a. The bowling ball would have more kinetic energy because of its greater mass.

b. Potential energy

Explanation

a. Bowling ball has higher mass, self explanatory.

b. A high diver has lots of stored energy when they are on the diving platform. When they dive this stored energy helps make the splash when they hit the water. Stored energy is also called potential energy.

Answer:

1.47 m/s

Explanation:

v = v0 + at

where

v0 = initial velocity (zero in this case)

a = acceleration = 0.21 m/s^2

t = time = 7 seconds

Plugging in these values, we get:

v = 0 + (0.21 m/s^2)(7 s)

v = 1.47 m/s

Answer:2

Explanation:

The energies that the ball possess when it is in rest at the top of the hill is electrostatic  potential energy. When the ball at the level ground, it has gravitational potential energy and when it at the half way down hill , it possess rotational kinetic energy.

Potential energy of a body is generated by virtue of its position. When the object is placed at rest on the surface the gravitational field, the stored energy is called gravitational potential energy.

When the object starts to move it gains kinetic energy.  When the ball is at rest on the top of the hill it has the electrostatic potential energy. When starts to roll to the ground , then its potential energy converts to rotational kinetic energy.

When, the ball reaches the ground its kinetic energy again transforms to potential energy where the ball is falling down to the gravitational field and thus it possess gravitational potential energy.

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The rotational equilibrium condition allows to find the result for the value of the force on the lid is:

The torque of a force is defined by the cross product of the force times the distance from the point of application.

             τ = F x r

where bold indicates vectors, tau is torque, F is force, and r is displacement.

Newton's second law for rotational motion establishes a relationship between the net torque, the moment of inertia, and the angular acceleration of the body, in the special case that the angular acceleration is zero, is called the rotational equilibrium condition.

             Σ τ = 0

In the attachment we can see a diagram of the forces in this system, we assume that the lid does not move, so we can use the rotational equilibrium condition, where we will assume that the counterclockwise rotations are positive.

They indicate the force F = 83.4 N su and the pivot point is l = 2 cm from the length of the screwdriver L = 23 cm.

The distance from the force to the pivot point is:

           r₁ = L - l

           r₁ = 23-2 = 21cm

Let us write the condition of rotational equilibrium.

          F₁ r₁ + F₂ l = 0

           \(F_2 = - \frac{r1}{l} \ F_1\)

Let's calculate.

            F₂ = -\(- \frac{21}{2}\ 83.4\)

            F₂ = -875.7 N

The negative sign indicates that the force is in the opposite direction to the applied force.

In conclusion using the rotational equilibrium condition we can find the result for the value of the force on the lid is:

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The force applied to the lid with the screwdriver is 875.7 N.

The given parameters:

The principle of moment states that the sum of clockwise moment is equal to sum of anticlockwise moment.

The sketch of the given question

----------2cm----------------------------------- 23cm

↓           Δ                                           ↓

F                                                          83.4 N

Take moment about the pivot as follows;

anticlockwise moment = clockwise moment

F(2cm) = 83.4(23cm - 2 cm)

\(F(2cm) = 83.4N(21cm)\\\\F = \frac{83.4N(21cm)}{2cm} \\\\F = 875.7 \ N\)

Thus, the force applied to the lid with the screwdriver is 875.7 N.

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Answer:

Photovoltaic detection is a technique that converts light into electrical energy. It is a process that involves the use of a photovoltaic cell, which is made up of semiconductor materials, to generate an electric current when exposed to light.

The photovoltaic cell absorbs the photons of light, which then knock electrons out of their orbits, creating a flow of electricity. The amount of electricity produced is proportional to the intensity of the light. The photovoltaic cell is commonly used in solar panels to generate electricity from sunlight. The efficiency of the photovoltaic cell is dependent on several factors, including the type of semiconductor material used, the purity of the material, and the thickness of the cell.

The photovoltaic cell has many applications, including in solar power generation, telecommunications, and remote sensing. The technique of photovoltaic detection is an important area of research, as it has the potential to provide a clean and renewable source of energy that can help mitigate climate change.

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Answer:

Explanation:

Given:

D = 1.80 m

h = 65.0 cm =0.65 m

m = 3.70 g = 0.0037 kg

___________________

ρ - ?

S = π·D²  / 4 = 3.14·1.8² / 4 ≈ 2.54 m²

V = S·h = 2.54·0.65 ≈  1.65 м³

ρ = m / V =  0.0037 /1.65 ≈ 0,0022 kg / m³

To increase a car's acceleration, the engineers should consider decreasing the car's mass and/or increasing the force that the engine provides. Therefore, options A and D are the correct answers.

Acceleration is directly proportional to the net force acting on an object and inversely proportional to its mass. This means that a smaller mass or a larger force will result in a greater acceleration. Therefore, reducing the mass of the car will require less force to achieve the same acceleration, or the same force will result in a greater acceleration.

To decrease the mass of the car, the engineers could consider using lighter materials for the car's body and frame or removing unnecessary components. On the other hand, to increase the force that the engine provides, the engineers could consider upgrading the engine or increasing the fuel intake.

Option B, which suggests decreasing the force that the engine provides, would have the opposite effect and result in a slower acceleration. Option C, which suggests increasing the mass of the car, would also have the opposite effect and require more force to achieve the same acceleration.

Option E, which suggests increasing the top velocity the car can travel, is not directly related to acceleration. Top velocity refers to the maximum speed that a car can reach, whereas acceleration refers to the rate of change of velocity. While increasing the car's top velocity may indirectly affect acceleration, it is not a direct solution to increasing acceleration.

Option A and D.

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When you square the unit of momentum, the new unit will be expressed as kg²m²/s².

Linear momentum is defined as the product of the mass (m) of an object and the velocity (v) of the object.

P = mv

where;

Unit of momentum is given as; kgm/s

When unit of momentum is squared, = (kg.m/s)² = kg²m²/s²

Thus, when you square the unit of momentum, the new unit will be expressed as kg²m²/s².

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