Elevator is accelerating upward 3.5 M/S2 and has a mass of 300 KG. The force of gravity is 2940 N. What is the tension force pulling elevator up?

a) The gravitational potential energy of the system of three masses at the given positions is 188.36md.

(b) The redefined reference height is h₀ = 0.55d.

(c) The new reference height measured from the base is h₀' = 0.96d.

(a) The gravitational potential energy of the system of three masses at the given positions is calculated as;

total gravitational potential energy = P.E(mass 1) + P.E(mass 2) + P.E(mass 3)

T.G.P.E = m₁gh₁ + m₂gh₂ + m₃gh₃

where;

T.G.P.E = (4.6m x 9.8 x 3d) + (2.21m x 9.8 x 2d) + (m x 9.8 x d)

T.G.P.E = 135.24md  +   43.32md  + 9.8md

T.G.P.E = 188.36md

(b) The redefined reference height is calculated as follows;

0 =  (4.6m x 9.8 x h₀) + (2.21m x 9.8 x (h₀ - d) + (m x 9.8 x (h₀ - 2d)

0 = 45.08mh₀ + 21.66mh₀ - 21.66md  +  9.8mh₀ - 19.6md

0 = 45.08h₀ + 21.66h₀ - 21.66d  +  9.8h₀ - 19.6d

0 = 76.54h₀ - 41.26d

76.54h₀ = 41.26d

h₀ = 41.26d/75.54

h₀ = 0.55d

(c) The new reference height measured from the base such that the highest two objects have the exact same gravitational potential energy is calculated as follows;

m₂gh₂ = m₁gh₁

2.21m x 9.8 x h₂ = 4.6m x 9.8 x h₁

21.66mh₂  =  45.08mh₃

21.66h₂  =  45.08h₁

h₁ = 21.66h₂/45.08

h₁ = 0.48h₂

h₀' = 0.48 x (2d)

h₀' = 0.96d

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The pilot's total velocity is 116.3 knots in the direction of 62.3⁰.

The pilot's total velocity is calculated by applying the principle of relative velocity.

The total velocity is also the resultant velocity and the magnitude of the pilot's total velocity is calculated by applying Pythagoras theorem as follows;

R = √ (V₁² + V₂²)

R =  √ (54² + 103²)

R = 116.3 knots

The direction of the velocity vector is calculated as follows;

tan θ = (103 knots) / (54 knots)

θ = tan⁻¹ (103/54)

θ = 62.3⁰

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To calculate the mean add up the numbers you want to add and divide them by how many

The spring stiffness is quantified by the spring constant, or k. For various springs and materials, it varies.

The stiffer the spring is and the harder it is to stretch, the larger the spring constant.

Springs are pliable mechanical devices that regain their previous shape after deforming, i.e. after being stretched or compressed. They are an essential part of many different mechanical devices.

The well-known metal coil has evolved into an essential element in the modern world, appearing in everything from engines to appliances to tools to automobiles to medical equipment and even basic ball-point pens. The spring's ability to store mechanical energy accounts for its widespread use and applications.

Therefore, The spring stiffness is quantified by the spring constant, or k. For various springs and materials, it varies.

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MKS stands for metre , kilogram and second

The speed of the bat swing decrease as the mass of the bat increases because mass is inversely proportional to velocity squared if the centripetal force is constant.

\(F_{c}\) = m v² / r

\(F_{c}\) = Centripetal force

m = Mass

v = Velocity

r = Radius

Rearranging for v,

v² = \(F_{c}\) * r / m

Since \(F_{c}\) and r is constant,

v² ∝ 1 / m

Since v² is inversely proportional to m and vice-versa, as the mass of the bat increases, speed of the bat swing decreases.

A centripetal force is responsible for making a body follow a curved path. The direction of centripetal force is perpendicular to the motion and towards the center of curvature.

Therefore, the speed of the bat swing decrease as the mass of the bat increases because mass is inversely proportional to velocity squared if the centripetal force is constant.

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Answer:

Angular velocity (w) = 8.86 rad/s

Explanation:

Angular velocity (w) = \(\sqrt{} 4ghi/R^{2}\)

g= 9.81 m/s

R= 0.5

hi (initial depth) = 0.5m

Hence= \(\sqrt4* 9.81* 0.5/0.5^{2}\)  = 8.86 rad/s

Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.

How do digital signals work?

An established or one that represents data as a step made up of discrete values is known as a digital signal. There is no noise produced by digital signals. Electronic signals sent as pulses are used to transmit digital signals to computers. These signals can be found in things like digital phones and computers.

Because digital signals are used to transport data to and from the cloud, it should be noted that videos are said to stream from the cloud to a computer without quality degradation.

Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.

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The height that will illustrate the distance will be d = 6.36m

Based on the information given, the length of the vine will be:

L = ✓(16² + 27.7)²

L = 32m

The velocity of Jane when she reaches position B will be:

V = ✓2gh

V = ✓(2 × 9.8 × 4.3)

V = 9.18m/s

We will apply the conversation of momentum. This will be:

50 × 9.18 = (50 + 80)V1

V1 = 3.53m/s

Therefore, the height that will illustrate the distance will be:

31.36² + d² = 32²

d² = 32² - 31.36²

d = 6.36m

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Answer: Stress can adversely affect sleep quality and duration, while insufficient sleep can increase stress levels. Both stress and a lack of sleep can lead to lasting physical and mental health problems.

Explanation:

Many report that there stress increases when the length and quality of their sleep decreases. When you do not get enough sleep, 21 percent of adults report feeling more stressed.

The system of three very thin conductors, loaded with charge density. There is surface charge on any steady current carrying conductor of uniform conductivity (i.e. the conducting wires for a simple battery resistor circuit). This surface charge is required in order to ensure that the electric field within the conducting wires is such that we have a steady uniform current throughout the circuit.

What is Charge Density?

Charge density is a measure of charge per unit area of ​​a surface or per unit volume of an object or field. Charge density indicates how much charge is stored in a particular field. Charge density can be determined by volume, area, or length.

Therefore, The system of three very thin conductors, loaded with charge density. There is surface charge on any steady current carrying conductor of uniform conductivity (i.e. the conducting wires for a simple battery resistor circuit). This surface charge is required in order to ensure that the electric field within the conducting wires is such that we have a steady uniform current throughout the circuit.

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It would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

1. The decay rate of a radioactive isotope is proportional to the number of radioactive atoms present in the sample at any given time.

2. The decay rate can be expressed as a function of time using the formula: R(t) = R₀ * \(e^{(-\lambda t\)), where R(t) is the decay rate at time t, R₀ is the initial decay rate, λ is the decay constant, and e is the base of the natural logarithm.

3. The half-life of a radioactive isotope is the time it takes for half of the radioactive atoms in a sample to decay. In this case, the half-life is given as 210 days.

4. Using the half-life, we can find the decay constant (λ) using the formula: λ = ln(2) / T₁/₂, where ln(2) is the natural logarithm of 2 and T₁/₂ is the half-life.

5. Substituting the given half-life into the formula, we have: λ = ln(2) / 210.

6. Now, we need to find the time it takes for the decay rate to fall to 0.58 of its initial rate. Let's call this time "t".

7. Using the formula for the decay rate, we can write: 0.58 * R₀ = R₀ * e^(-λt).

8. Simplifying the equation, we get: 0.58 = \(e^{(-\lambda t\)).

9. Taking the natural logarithm of both sides, we have: ln(0.58) = -λt.

10. Substituting the value of λ from step 5, we get: ln(0.58) = -(ln(2) / 210) * t.

11. Solving for t, we have: t = (ln(0.58) * 210) / ln(2).

12. Evaluating the expression, we find: t ≈ 546.

13. Therefore, it would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

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The kinetic energy of particle B at the instant when the particles are 3.0 m apart is 4.32 J.

The total energy of the system is conserved. The initial energy of the system is the electrostatic potential energy, which is given by:

U = k × (Q₁ × Q₂) / r

where:

U = potential energy in joules

k = Coulomb's constant (8.988 x 10⁹ N m²/C²)

Q₁ and Q₂ = charges in coulombs

r = distance between the charges in meters

In this case:

U = 8.988 x 10⁹ N m²/C² × (12 C × 5 Q) / (1.0 m) = 5.375 x 10⁻⁷ J

The final energy of the system is the kinetic energy of particle B. The kinetic energy is given by:

KE = 1/2 × m × v²

where:

KE = kinetic energy in joules

m = mass in kilograms

v = velocity in meters per second

Solve for the velocity of particle B using the conservation of energy equation:

KE = U

Substituting the expressions for KE and U gives:

1/2 × m × v² = 5.375 x 10⁻⁷ J

Solving for v gives:

v = √(2 × 5.375 x 10⁻⁷ J / m)

= 1.53 m/s

The kinetic energy of particle B is then:

KE = 1/2 × m × v²

= 1/2 × m × (1.53 m/s)²

= 4.32 J

Therefore, the kinetic energy of particle B at the instant when the particles are 3.0 m apart is 4.32 J.

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Answer:

P = W / t    work/time

W(ork) = m g h = 80kg * 9.8 m.s^2 * 5 m = 3920 N-m

P = 3920 N-m / 3.5 s = 1120 Watts

Answer:

hope this answer helps this is what I understand

Answer:

In the southern hemisphere it is fall but almost winter

Explanation:

They are 6 months ahead of the northern hemisphere. at least thats

how I think about it

Answer:

Speed of lighter particle = -21.53 m/s

Speed of other particle = 3.8 m/s

Explanation:

Let mass of the lighter object be m

Thus mass of heavier object = 4m

Speed of lighter particle = 19 m/s

Speed of second particle with opposite direction = - ⅓(19) m/s = -19/3 m/s

Now, from the formulas of momentum before collision = momentum after collision, and also kinetic energy before collision = Kinetic Energy after collision, we have;

v_bf = [2m_a/(m_a + m_b)]v_ai + [(m_b - m_a)/(m_a + m_b)]v_bi

Now, in this question;

m_a = m

m_b = 4m

v_ai = 19

v_bi = -19/3 m/s

Thus;

v_bf = [2m/(m + 4m)]19 + [(4m - m)/(m + 4m)](-19/3)

Simplifying to get;

v_bf = 19(2m/5m) - (19/3)(3m/5m)

>> v_bf = 38/5 - 19/5

>> v_bf = 19/5 m/s

>> v_bf = 3.8 m/s

Similarly;

v_af = [(m_a - m_b)/(m_a + m_b)]v_ai + [2m_b/(m_a + m_b)]v_bi

v_af = 19((m - 4m)/(m + 4m)) - (19/3)((2 × 4m)/(m + 4m))

This gives;

v_af = 19(-3m/5m) - (19/3)(8m/5m)

v_af = -(57/5) - (152/15)

v_af = -323/15

v_af = -21.53 m/s

Answer: A solar eclipse results when the moon passes in between the earth and the sun hiding the sun fully or partly for some time. A lunar eclipse occurs when the earth passes in between the moon and the sun casting its shadow on the moon and thus hiding it fully or partly for some time.

The two strings are taut. When the system is released from rest, it accelerates at 2 m/s2 then, Mass of A = 8m/5 kg.

Let the mass of the body A be ‘m’.

The two strings are taut so they exert a tension ‘T’ on body A.

Let ‘a’ be the acceleration produced in the system.

The free body diagram of body A is given below: mA + 2T = mA + ma = mA + m(2)mA + 10T = mA + ma = mA + m(2)

As the two strings are taut, we can say that tension in both strings is equal.

Therefore 2T = 10T or T = 5T As the body A is resting on a smooth horizontal table, there is no friction force acting on the body A.

The net force acting on body A is the force due to tension in the strings. ma = 2T – mg …(1)

As per the given problem, the system is released from rest.

Hence the initial velocity is zero.

Also, we are given that the system accelerates at 2 m/s2.

Therefore a = 2 m/s2 …(2)

From the equations (1) and (2), we get, m(2) = 2T – mg …(3)⇒ m(2) = 2×5m – mg⇒ 2m = 10m – g⇒ g = 8m/5

Thus, the mass of A is 8m/5 kg.

Answer: Mass of A = 8m/5 kg.

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Answer:

Key Points

When an object is spinning in a closed system and no external torques are applied to it, it will have no change in angular momentum.

The conservation of angular momentum explains the angular acceleration of an ice skater as she brings her arms and legs close to the vertical axis of rotation.

If the net torque is zero, then angular momentum is constant or conserved.

Key Terms

quantum mechanics: The branch of physics that studies matter and energy at the level of atoms and other elementary particles; it substitutes probabilistic mechanisms for classical Newtonian ones.

torque: A rotational or twisting effect of a force; (SI unit newton-meter or Nm; imperial unit foot-pound or ft-lb)

angular momentum: A vector quantity describing an object in circular motion; its magnitude is equal to the momentum of the particle, and the direction is perpendicular to the plane of its circular motion.Key Points

When an object is spinning in a closed system and no external torques are applied to it, it will have no change in angular momentum.

The conservation of angular momentum explains the angular acceleration of an ice skater as she brings her arms and legs close to the vertical axis of rotation.

If the net torque is zero, then angular momentum is constant or conserved.

Key Terms

quantum mechanics: The branch of physics that studies matter and energy at the level of atoms and other elementary particles; it substitutes probabilistic mechanisms for classical Newtonian ones.

torque: A rotational or twisting effect of a force; (SI unit newton-meter or Nm; imperial unit foot-pound or ft-lb)

angular momentum: A vector quantity describing an object in circular motion; its magnitude is equal to the momentum of the particle, and the direction is perpendicular to the plane of its circular motion.

Explanation:

Answer:

Explanation:

m1*v1 = m2 v2

1200kgm/s=600kg*v1=(7+600)*v2

6000=607*v

v2=9.8m/s

Answer:

a increases

Explanation:

as distance between two objects increases the gravitational force decreases so when distance decreases the gravitational force increases

Explanation:\(\sf{hey\:}\) \(\sf\cancel{mate\:Here\:}\) \(\sf\red{is\:ur\:answer}\)

when it is at rest.

because,

kinetic energy occurs when object in motion.

can,you mark me brainliest it's a request from.e to you

An object has no kinetic energy when it is at rest (Option A).

Kinetic energy is the measure of the work that an object does by virtue of its motion. Simple activities like walking, jumping, throwing, and falling involve kinetic energy. In this article, let us familiarize ourselves with the concept of kinetic energy.

Kinetic energy is the energy an object possesses due to its motion. The formula for kinetic energy is

KE = 1/2mv²,

Where m is the mass of the object and

v is its velocity.

When an object is at rest, it has zero velocity, which means that its kinetic energy is also zero.

Option B is not correct because even if an object is moving very slowly, it still has some kinetic energy. The amount of kinetic energy it has will depend on its mass and velocity.

Option C is not correct because the force acting on an object does not affect its kinetic energy directly.

Kinetic energy is related to an object's motion, not its forces.

Option D is not correct because an object's electrical charge does not affect its kinetic energy directly. The amount of kinetic energy an object has is determined solely by its motion.

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Explanation:

the answer is D because of inertia aka the force that pulls obejects downs

Answer:

a) \(W=9810\: N\)

b) \(F_{1}=251.14\: N\)        

c) \(V_{g}=0.012\: m^{3}\)

Explanation:

a)

El peso del cuerpo es:

\(W=mg\)

g es la gravedad (9.81 m/s²)

\(W=1000*9.81\)

\(W=9810\: N\)

b)

Usando el principio de Pascal tenemos:

\(P_{1}=P_{2}\)

y la presion es la fuerza sobre el area.

\(\frac{F_{1}}{A_{1}}=\frac{F_{2}}{A_{2}}\)

Despejando F(1):

\(F_{1}=F_{2}\frac{A_{1}}{A_{2}}\)

el area del plato es: \(A=\pi R^{2}\)

\(F_{1}=F_{2}\frac{\pi R_{1}^{2}}{\pi R_{2}^{2}}\)

\(F_{1}=F_{2}\frac{R_{1}^{2}}{R_{2}^{2}}\)

F(2) es el peso del cuerpo de 1000 kg (W)

\(F_{1}=9810\frac{8^{2}}{50^{2}}\)

Por lo tanto, la fuerza que se debe hacer es:

\(F_{1}=251.14\: N\)          

c)

Como tenemos un sistema cerrado el volumen de agua que desciende por el embolo pequeño debe ser igual al que sube por el grande, por lo tanto:

\(V_{p}=V_{g}\)

Vp es el volumen de agua en el émbolo pequeño

Vg es el volumen de agua en el émbolo grande

Como sabemos que son cilindros (V=πR²h)

\(\pi R^{2}h=V_{g}\)

Entonces el volumen del émbolo mayor será:

\(V_{g}=\pi 0.08^{2}0.6\)

\(V_{g}=0.012\: m^{3}\)

Espero te haya sido de ayuda!

Let the circumference of the circle be 10L.

A moves at 10L/2 = 5L per hour

B moves at 10L/5 = 2L per hour

Therefore it takes 10L/(5L+2L) = 10/7 hours

Answer:

5.277 kg

Explanation:

Since the formula for work is W = F * d and we are given distance and work, the force on the grocery bag is 88 = F * 1.7 F = 88 / 1.7 = 51.765 N.

We also know that force follows the equation F = m * a. Since the constant gravitational acceleration on earth is 9.81 m / s^2, we can find the mass through 51.765 = m * 9.81 m = 51.765/9.81 = 5.277 kg

The power loss over the given distance in which the current is carried is 12 MW.

option D is the correct answer.

The current carried in the power line is calculated by applying Ohms law as follows;

V = IR

P = IV

I = P/V

where;

I = (250 x 10⁶) / (230,000)

I = 1,086.96 A

The power loss over the given distance in which the current is carried is calculated as;

P = I²R

where;

P = (1,086.96²) x 10

P = 11.8 x 10⁶ W

P ≈ 12 x 10⁶ W

P = 12 MW

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