There is friction between the block and the
table.
The suspended 2 kg mass on the left is
moving up, the 4 kg mass slides to the right
on the table, and the suspended mass 4 kg on
the right is moving down.
The acceleration of gravity is 9.8 m/s
2
.What is the magnitude of the acceleration
of the system?
1. 1.67253
2. 1.9845
3. 1.75311
4. 2.47673
5. 2.1315
6. 2.058
7. 2.548
8. 1.33933
9. 1.5288
10. 2.03127
Answer in units of m/s
2
.

Since these three vehicles would all go the same speed at the bottom if released from the same height, they would not all possess the same amount of kinetic energy because they have different amounts of potential energy.

Kinetic energy is dependent on the velocity of the object as well as its mass. Therefore, the three vehicles, though they have the same speed, would differ in their kinetic energy due to their varying mass. This concept is known as mechanical energy and is the sum of kinetic and potential energy.

Mechanical energy is also constant in an ideal situation where no external forces are acting upon the object. For instance, the three vehicles will all have the same mechanical energy at the release point but would not possess the same amount of kinetic energy due to their mass difference. Therefore, they would have different amounts of potential energy when released.

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Answer:

The maximum acceleration of the system is 359.970 centimeters per square second.

Explanation:

The motion of the mass-spring system is represented by the following formula:

\(x(t) = A\cdot \cos (\omega \cdot t + \phi)\)

Where:

\(x(t)\) - Position of the mass with respect to the equilibrium position, measured in centimeters.

\(A\) - Amplitude of the mass-spring system, measured in centimeters.

\(\omega\) - Angular frequency, measured in radians per second.

\(t\) - Time, measured in seconds.

\(\phi\) - Phase, measured in radians.

The acceleration experimented by the mass is obtained by deriving the position equation twice:

\(a (t) = -\omega^{2}\cdot A \cdot \cos (\omega\cdot t + \phi)\)

Where the maximum acceleration of the system is represented by \(\omega^{2}\cdot A\).

The natural frequency of the mass-spring system is:

\(\omega = \sqrt{\frac{k}{m} }\)

Where:

\(k\) - Spring constant, measured in newtons per meter.

\(m\) - Mass, measured in kilograms.

If \(k = 12\,\frac{N}{m}\) and \(m = 0.40\,kg\), the natural frequency is:

\(\omega = \sqrt{\frac{12\,\frac{N}{m} }{0.40\,kg} }\)

\(\omega \approx 5.477\,\frac{rad}{s}\)

Lastly, the maximum acceleration of the system is:

\(a_{max} = \left(5.477\,\frac{rad}{s})^{2}\cdot (12\,cm)\)

\(a_{max} = 359.970\,\frac{cm}{s^{2}}\)

The maximum acceleration of the system is 359.970 centimeters per square second.

The car's voltage is highest at the: bottom of the car. The correct option is (b).

When a conductor (such as a car) moves through a magnetic field (such as the Earth's magnetic field), a voltage is induced in the conductor. The magnitude and direction of this voltage depend on the speed and direction of the motion as well as the strength and direction of the magnetic field.

In this scenario, the car is driving to the east and the Earth's magnetic field is pointing to the north. By using the right-hand rule, we can determine the direction of the induced voltage.

Aligning the thumb of the right hand in the direction of the car's motion (east) and the fingers in the direction of the magnetic field (north), the direction of the induced voltage is perpendicular to both the thumb and fingers, and is pointing downwards (towards the ground).

Therefore, the highest voltage will be on the bottom of the car, where it is closest to the ground and the magnetic field lines. This induced voltage could potentially be used to power electronic devices in the car, such as a GPS or a mobile phone charger.

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Answer:

yellow

Explanation:

yellow

make me brain

Answer:

Point A

Explanation:

Because it reaches maximum height

Samuel and David are in the weight room bench pressing the same 900 N weight. If David has longer arms than Samuel, then David does more work on the weight while bench pressing.

This is referred to as the energy transferred to or from an object via the application of force along a displacement. It is calculated by the following below and the unit is in Joules.

Work = F × s  where f is force and s is displacement.

People who have longer arm spans will have a greater total distance to push the bar in order to reach the 120 degrees angle of elbow flexion. This means that there will be more work done in this scenario and is therefore the reason why David does more work on the weight while bench pressing and is therefore the reason why it was chosen as the correct choice.

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The  reaction forces are as follows:

Reaction forces are the force which act in an opposite direction to an applied force.

According to Newton's third law of motion, action and reaction are equal but oppositely-directed.

Considering the given forces, the reaction forces are as follows:

A baseball bat hits a ball = the reaction force is that of the ball hitting the bat

A bowling ball pushes up against the pins = the pins pushing against the bowling ball

Air particles push outward against a balloon = the walls of the balloon pushing against the air particles

During an earthquake, tectonic plates move = the weight of the tectonic plates.

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Answer:

ρ (density) = M / V         mass / unit volume

ρ = 10 g / 5 cm^3 = 2 g/cm^3        density of the metal

Answer:

2.93 mm

Explanation:

If you stack 3 nickels on a table, e the table is their center of gravity 2.93 mm

The Centre of gravity is a theoretical term, where the body’s total weight is thought to be concentrated and it predicts the behavior of a moving body when acted on by gravity.

It is also useful in designing static structures like buildings and bridges, the center of gravity is identical to the centre of mass.

For the Moon, the centre of mass is very close to its geometric centre and its centre of gravity is slightly towards the Earth due to the stronger gravitational force on the Moon’s near side.

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In an uniform gravitational field the center of gravity is equal to center of mass of a mass distribution. The center of mass of a colinear discrete mass distribution is given by:

where M is the total mass of the system, m_i the mass of each particle and xi is its position. In this case we have:

The correct option is (b) II only.In this scenario, the following statements are true:II. The weight of the ball provides a net torque on the ball.

The weight of the ball acts vertically downward and creates a torque when the ball rolls down the incline. This torque tends to rotate the ball about its center of mass.However, statement III is false:III. The force of friction provides a net torque on the ball.

The force of friction acts parallel to the incline and opposes the motion of the ball. Since it acts along the direction of motion, it does not create a torque. Torque is the cross product of the force and the lever arm, and the lever arm in this case would be zero because the force of friction is applied at the point of contact.Therefore, only statement II is true, indicating that the weight of the ball provides a net torque on the ball.

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Answer:

7 m/s

Explanation:

Find the total mass

m1+m2 = total mass

700kg+300kg = 1000kg

Find the velocity of each mass

v1 = 10m/s

v2 = 0m/s

Find the combined momentum

m1v1 + m2v2 = mfvf

(700)(10)+(300)(0)=(1000)(vf)

7000=1000(vf)

7=vf

So the velocity of the two cars rolling together is 7 m/s

Answer:

eV to Joules just multiply by 1.602 × 10^-19

Hence, 1.5eV = 1.5 × 1.602 × 10^-19 J

= 3.04 × 10^-19 J

Answer:

Given that the train which is heading north on the tracks takes 6 seconds to reach 60 miles per hour and completes the entire 60 mile trip in one hour, we can calculate the train's average speed and velocity over the one hour trip. Now right off the bat we know that the measurement we calculate for the train's average SPEED will be a scalar quantity as we are dealing with speed. On the other hand the measurement we calculate for the train's velocity will be a vector quantity as we are dealing with velocity and the quantity has both a magnitude and a direction. Now: we now that the train completed the entire 60 mile trip in one hour which means it is going 60 mph north, which is the velocity This velocity has both a magnitude (60 mph) and a direction (north). For the train's average speed we look at distance divided by time. The speed of the train is 60 miles per hour. The difference between speed and velocity is that speed is how fast an object is going with respect to a frame of reference versus velocity is a measure of the speed and direction of an object.

The heavy person will reach the ground first. This is because both individuals have the same parachute size, meaning they experience the same amount of air resistance. However, the heavy person has a greater weight (gravitational force) acting on them, which causes them to accelerate at a faster rate than the lighter person. As a result, the heavy person will reach the ground before the lighter person.

Explanation:

Therefore, the heavier person will reach the ground before the lighter person, despite having the same-size parachute.

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If the electric field emitted by a radio tower has an amplitude of 239 v/m,  the amplitude of the corresponding magnetic field will be H = 0.64 A/m

E / H = \(\sqrt{mu0 / epsilon 0 }\)

238 / H = \(\sqrt{4*3.14*10^{-7} / 8.85 * 10^{-12} }\)

238 / H = 374

H = 0.64 A/m

The amplitude of the corresponding magnetic field will be H = 0.64 A/m

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Answer:

healthy diet

Explanation:

Exercise and a healthy diet are the two things people do to stay healthy

I believe a scale is good

The average velocity for the time period from t = 2 to t = 3 is -36 feet/second.

To find the average velocity for the given time period, we need to calculate the change in position (Δy) divided by the change in time (Δt).

Given the height function y = 44t - 16t^2, we can find the average velocity for each time period as follows:

(a) Time period: t = 2 to t = 3

To find the change in position (Δy), we evaluate y at t = 3 and subtract y at t = 2:

Δy = y(3) - y(2) = (44 * 3 - 16 * 3^2) - (44 * 2 - 16 * 2^2)

   = (132 - 144) - (88 - 64)

   = -12 - 24

   = -36 feet

The change in time (Δt) is 3 - 2 = 1 second.

Average velocity = Δy / Δt = -36 feet / 1 second = -36 feet/second

Therefore, the average velocity for the time period from t = 2 to t = 3 is -36 feet/second.

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Answer:

the following image will make you understand

Explanation:

The velocity of the truck will be = 12.6 m/s

A centripetal force is a net force that acts on an object to maintain it moving along a circular route.

According to the given information

Normal force acts vertically upwards and the weight of the truck acts vertically downwards.

The centripetal force required by the truck is provided by the frictional force. That is,

\(F_f & =\mu N \\\)

\(\frac{m v^2}{r} & =\mu m g\)

By putting the values in above expression

r = 21m

The speed of the truck is,

\(v & =\sqrt{\mu r g} \\\)

 \(=\sqrt{(0.78)(21 \mathrm{~m})\left(9.80 \mathrm{~m} / \mathrm{s}^2\right)} \\\)

 = 12.6 m/s

The velocity of the truck will be = 12.6 m/s

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Answer:

divide

Explanation:

make sure u do good at it

Answer:

One must conclude that the distance between wavefronts emitted (and received) is increasing

That rules out a siren moving at constant speed

Only a car receding from you at increasing speed or a car approaching you at decreasing speed can account for the increase in distance between wavefronts emitted

In the formula: FM=K M1M2/r2 ,  r is the distance: between poles M1 and M2. option (b) is correct.

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position. Two similar strength poles, m1 and m2, are separated by a great distance. The amount of power needed to separate them by r0 is If you try to align the like poles of two magnets, you will quickly realize that the most fundamental law of magnetism states that similar poles repel one another and unlike poles attract one another. It claims that the product of the pole strengths directly determines the force of interaction between two stationary magnetic poles. Inversely proportional to the square of the distance between two stationary magnetic poles is the force of interaction between them.

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Answer:

W = 76 N

Explanation:

In this exercise you are asked to find the weight of the body.

Mass is a quantity that is invariant, it measures the same everywhere, the weight depends on where it is measured, a simple way to find the weight of a body is

          W = g m

where g is the constant of the place, in this case we have the weight of the body on Mars and its mass which is constant on Earth and on Mars

            W = 3.8 20

            W = 76 N

The amount of contextual similarity between the retrieval attempt and the initial encoding phase predicts likelihood of remembering versus forgetting. This refers to the encoding specificity hypothesis

The likelihood of remembering versus forgetting is predicted by the degree of contextual similarity between the retrieval attempt and the initial encoding phase. Encoding specificity hypothesis is being discussed here. According to the encoding specificity theory, the similarity between the contexts during the initial encoding phase and the attempt at retrieval affects how likely it is that information will be remembered.

This theory states that memory retrieval is more successful when the environmental context or retrieval cues coincide with or are similar to those present during the encoding of the material. This idea emphasises the value of environmental signals in aiding memory retrieval and determining whether or not information will likely be remembered or forgotten.

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When the temperature of the fixed-volume container with 0.9 mol of hexane liquid and 0.1 mol of hexane vapor in equilibrium is lowered from 45°C to 40°C, some of the hexane vapor condenses. So, the correct answer is: a: Some of the vapor condenses.

A: Some of the vapor condenses. When the temperature is lowered, the equilibrium vapor pressure decreases. Since the initial vapor pressure was higher than the new equilibrium vapor pressure at 40°C, some of the vapor will condense back into liquid form to reach the new equilibrium. The amount of liquid and vapor present at the new equilibrium will depend on the temperature and pressure conditions.

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Hi there!

\(\large\boxed{\text{Angular acceleration.}}\)

For a rigid body rotating about a fixed axis, its angular characteristics ⇒ angular acceleration and velocity are constant throughout.

However, its LINEAR velocities/accelerations differ because of the following relationships:

v = ωr

a = αr

Thus, a point closer to the axis of rotation has a smaller linear velocity or acceleration compared to a point along the edge.