A 1.35-kg block sits on a lab table. The block accelerates to the right at a rate of 3.11 m/s/s There is a
forward force of 6.09 N. What is the force pulling the block backwards?

The velocity of the ball just before it hits the ground is 24.29m/s.

What is acceleration due to gravity?

The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/s2 is its SI unit. Its vector nature—which includes both magnitude and direction—makes it a quantity. The unit g stands for gravitational acceleration. At sea level, the standard value of g on earth's surface is 9.8 m/s2.

Given:

Initial velocity u = 10m/s

height h = 25m

we know that the acceleration due to gravity g is : 9.8m/s

Therefore using the formula,

v² - u² = 2gs   where s is the height in this case and v is the final velocity.

v² - 10² = 2 x 9.8 x 25

=> v² = 490 + 100

=> v = √590

=> v = 24.29m/s

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Answer:

A. b) Directed towards center

B. \(v = 7.854\ m/s\)

C. \(a_c = 12.337\ m/s^2\)

D. \(w = 1.57\ rad/s\)

Explanation:

The "force" that they feel pressing their backs against the wall is because the reaction to the  centripetal acceleration .

A.

This acceleration has its direction towards the center of the circle. (option b)

B.

Their linear speed can be calculated with the equation:

\(v = (\theta/t)*r\)

Where \(\theta\) is the total angular position moved in radians (\(1\ rev = 2\pi\ radians\)), 't' is the time elapsed for the angular position moved and 'r' is the radius. So we have that:

\(v = (2\pi/4)*5 = 7.854\ m/s\)

C.

The centripetal acceleration is given by the equation:

\(a_c = v^2/r\)

\(a_c = 7.854^2/5\)

\(a_c = 12.337\ m/s^2\)

D.

Their angular speed is given by the equation:

\(w = \theta/t = 2\pi/4 = \pi/2 = 1.57 \ rad/s\)

Answer:

The height risen by the ball is 39.8 m.

Explanation:

Given;

total time spent in air by the ball, t = 5.7 s

time to rise to maximum height, t = 5.7 /2 = 2.85 s

The initial velocity of the ball is given by;

v = u - gt

where;

v is the final velocity at maximum height = 0

u is the initial velocity of the ball

0 = u - gt

u = gt

u = (9.8 x 2.85)

u = 27.93 m/s

The vertical height traveled by the ball is given by;

v² = u² - 2gh

where;

v is the final velocity of the ball at maximum height = 0

g is acceleration due to gravity = 9.8 m/s²

0 = u² - 2gh

2gh = u²

h = u² / 2g

h = (27.93)² / ( 2 x 9.8)

h = 39.8 m

Therefore, the height risen by the ball is 39.8 m.

Option C. The heat absorbed or lost by a substance while it's changing state  correctly describes latent heat

Latent heat is the heat absorbed or lost by a substance while it is changing state.

The latent heat is a type of heat that is transferred during phase change, i.e., while a substance undergoes a change of state.

For example, when ice melts into liquid water, or when liquid water evaporates into water vapor, heat is absorbed from the surroundings.

Latent heat is not associated with a temperature change; rather, it's associated with a change of state.

For instance, the temperature of water remains at 100°C while boiling.

When water is boiling, the latent heat of vaporization is absorbed and utilized to break the hydrogen bonds holding water molecules together to change water from the liquid phase to the gaseous phase.

When the water is boiling, adding more heat won't increase the water's temperature, instead, the extra heat will be absorbed to change the phase of water molecules.

Therefore, the correct answer to the given question is option C: The heat absorbed or lost by a substance while it is changing state.

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Answer33

Explanation

33

Answer: An ion is an atom with a net positive or negative charge due to an unequal number of protons and electrons

Answer:

Part A: \(1.97ms^{-1}\) (2 s.f.)
Part B: 0.33m (2 s.f.)

Explanation:

Part A:

Frequency = \(\frac{1}{period} = \frac{1}{3}\) Hz

Wavespeed = frequency x wavelength
Wavelength = distance between two crests = 5.90

Freq = 1/3 Hz

Therefore: Wavespeed = 1/3 x 5.90

                  Wavespeed = 1.967 ms^-1

Part B:
Amplitude = \(\frac{peak-to-peak- amplitude }{2}\)

Peak to peak amplitude = 0.65m

Amplitude = 0.65/2 = 0.325m = 0.33m 2sf

The amount the needle on the meter is deflected A. increases

This phenomenon can be explained by Faraday's law of electromagnetic induction. According to this law, when a magnetic field (created by the bar magnet) passes through a coil of wire, it induces an electric current in the wire. This induced current generates its own magnetic field, which interacts with the magnetic field of the bar magnet.

The deflection of the meter needle is a result of this induced current. When the number of coils of wire is increased, there is a greater number of wire loops for the magnetic field to pass through. This leads to a stronger induction of electric current, resulting in a larger deflection of the meter needle.

By increasing the number of coils, more magnetic flux is linked with the wire, resulting in a higher induced electromotive force (emf) and a greater current. This increased current produces a stronger magnetic field around the wire, leading to a larger deflection on the meter. Therefore, increasing the number of coils of wire enhances the magnetic field interaction, resulting in an increased deflection of the meter needle. Therefore, Option A is correct.

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Answer:

377 nm

Explanation:

Number of lines per meter is, \(N &=530 \times 1000 \\ &=530000 \text { lines } / \mathrm{m} \end{aligned}\)

Grating element is, \(d=\frac{1}{N}\)

\(=1.8868 \times 10^{-6} \mathrm{~m}\(

Order is, n=5

Condition for maximum intensity is, \(d \sin \theta=n \lambda\)

 \(\lambda &=\frac{1.8868 \times 10^{-6}}{5(\sin 90)} \\ &=0.377 \times 10^{-6} \mathrm{~m} \\ &=377 \mathrm{~nm}\)

The amount of compression this bone can withstand before breaking is 4.56 mm.

A solid material's tensile or compressive stiffness when a force is applied longitudinally is measured by the mechanical property known as Young's modulus in tension or compression.

Mathematically, Young’s modulus can be expressed as:

Young’s modulus = Longitudinal stress ÷ Longitudinal strain

Y = P ÷ (Δl/l)

Y = Pl/Δl

Δl = Pl/Y

= (1.52 × 10⁸ × 0.54) ÷  (1.8 × 10¹⁰)

= 0.00456 meter

= 4.56 mm.

Hence, the amount of compression this bone can withstand before breaking is 4.56 mm.

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At 30°C, the rms speed of a sample of oxygen with a molar mass of 16 g/mol is approximately 482.34 m/s.

The root mean square (rms) speed of a gas molecule is a measure of the average speed of the gas particles in a sample. It can be calculated using the formula:

vrms = √(3kT/m)

Where:

vrms is the rms speed

k is the Boltzmann constant (1.38 x 10^-23 J/K)

T is the temperature in Kelvin

m is the molar mass of the gas in kilograms

To calculate the rms speed of oxygen at 30°C (303 Kelvin) with a molar mass of 16 g/mol, we need to convert the molar mass to kilograms by dividing it by 1000:

m = 16 g/mol = 0.016 kg/mol

Substituting the values into the formula, we have:

vrms = √((3 * 1.38 x 10^-23 J/K * 303 K) / (0.016 kg/mol))

Calculating this expression yields the rms speed of the oxygen sample:

vrms ≈ 482.34 m/s

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Answer:

12.5m/s

Explanation:

Simplify the proportion.

200/16 = 100/8 = 50/4 = 25/2 = 12.5

Elements are arranged on the periodic table in terms of valence electrons based on their atomic number and electron configuration.

1. Elements are arranged on the periodic table in terms of valence electrons based on their atomic number and electron configuration. The valence electrons are the outermost electrons in an atom's electron shell, and they are crucial in determining the chemical properties and reactivity of elements.

2. Evidence from data tables can be shown by examining the electron configuration and the group and period numbers of various elements on the periodic table. Here is a simplified example:

Element   | Electron Configuration | Group | Period |

--------------------------------------------

Hydrogen  | 1s^1                              | 1     | 1      |

Lithium       | [He] 2s^1                     | 1     | 2      |

Carbon       | [He] 2s^2 2p^2          | 14    | 2      |

Oxygen      | [He] 2s^2 2p^4          | 16    | 2      |

Neon          | [He] 2s^2 2p^6          | 18    | 2      |

--------------------------------------------

3. The evidence from the data table supports the claim that the arrangement of elements on the periodic table is based on valence electrons.

- Group Trend: Elements within the same group (vertical columns) share the same number of valence electrons. In the example table, Hydrogen, Lithium, and Neon are all in Group 1, indicating they have 1 valence electron.

- Period Trend: Elements within the same period (horizontal rows) have the same number of electron shells. In the example table, Hydrogen and Lithium are in Period 1, indicating they have their valence electron in the first energy level. Carbon, Oxygen, and Neon are in Period 2, indicating they have their valence electrons in the second energy level.

By examining the electron configurations, group numbers, and period numbers, we can clearly see the trends and patterns in the number of valence electrons for both groups and periods on the periodic table. This evidence supports the claim that the arrangement of elements on the periodic table is based on their valence electrons, which play a crucial role in determining their chemical behavior and properties.

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Answer:

Kepler's first law means that planets move around the Sun in elliptical orbits. An ellipse is a shape that resembles a flattened circle. ... It is zero for a perfect circle.

Athletes training for the 100-meter dash will mostly rely on phosphocreatine for this event's rapid energy.

Numerous creatine kinases catalyze the reversible phosphorylation of creatine, which includes both the forward and backward reactions. It is used to detect tissue injury when creatine kinase (CK-MB, creatine kinase myocardial band) is present in blood plasma.

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ANSWER

EXPLANATION

To find the thickness of the bubble at that point, apply the condition for constructive interference:

where d = thickness

n = refractive index

m = 0, 1, 2...

For the second longest wavelength, m = 1, and for normal incidence:

Therefore, substituting the given values into the equation and solving for d:

That is the thickness of the bubble.

Answer: The motion of molecules and atoms is responsible for heat or thermal energy and every matter has this thermal energy. The more the motion of molecules, more will be the heat energy. However, talking about heat transfer, it is nothing but the process of transfer of heat from the high-temperature body to a low temperature one.

Explanation:

To find the mass of the object, we can use the formula for kinetic energy:

Kinetic energy (KE) = (1/2) * mass * velocity^2

Given that the kinetic energy is 426 J and the velocity is 13 m/s, we can rearrange the equation to solve for the mass:

mass = (2 * KE) / (velocity^2)

Substituting the given values:

mass = (2 * 426 J) / (13 m/s)^2

mass = (2 * 426 J) / (169 m^2/s^2)

mass = 852 J / 169 m^2/s^2

mass = 5.04 kg

Therefore, the mass of the object is 5.04 kg.

Answer:

C

Explanation:

Gravity is the main reason that make our planets to pull each other

Answer:

All measurements of motion will be compared to a frame of reference. Therefore, the most commonly used frame of reference is Earth itself, even though it moves.

Explanation:

2A

Given ,

Resistance=60

V=12

V=IR

I=V/R

I=120/60=2A

The pace at which electrons flow past a location in a complete electrical circuit is defined as current. At its most fundamental, current Means flow.

An ampere (AM-pir), sometimes known as an amp, is the international unit for measuring current. It denotes the number of electrons (also known as "electrical charge") that pass across a location in a circuit over a specific time period.

A current of one ampere indicates that one coulomb of electrons—that is, 6.24 billion billion (6.24 x 1018) electrons—moves across a circuit in one second. The method is comparable to determining how many gallons move through a single spot in a pipe in one minute (gallons per minute, or GPM).

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Answer: B

Explanation: because x is 19.4 and then the y is m/s north

The instantaneous current at the same moment in the RL circuit can be expressed as I = Imaxsin(150), where Imax represents the maximum current.

1. Given that the instantaneous voltage at a specific moment in the RL circuit is V = Vmaxsin(150).

2. We can express the current at the same moment using Ohm's Law, which states that V = IR, where V is voltage, I is current, and R is resistance.

3. In an RL circuit, the resistance is represented by the symbol R, and it is typically associated with the resistance of the wire or any resistors in the circuit.

4. However, the given equation does not explicitly mention resistance.

5. Since we are considering an RL circuit, it suggests the presence of inductance (L) along with resistance (R).

6. In an RL circuit, the voltage across the inductor (VL) can be expressed as VL = L(di/dt), where L is the inductance and di/dt represents the rate of change of current.

7. At any given instant, the total voltage across the circuit (V) can be expressed as the sum of the voltage across the resistor (VR) and the voltage across the inductor (VL).

8. Therefore, V = VR + VL.

9. Since the given equation represents the instantaneous voltage (V), we can deduce that V = VR.

10. By comparing V = VR with Ohm's Law (V = IR), we can conclude that I = Imaxsin(150), where Imax represents the maximum current.

The specific values of Vmax, Imax, and the phase angle have not been provided in the question, so we are working with the general expression.

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Static friction is the frictional force that opposes the motion of stationary objects when an external force is acting upon them. It is the force of friction that prevents an object from sliding or moving when a force is applied to it. Static friction is different from kinetic friction, which is the force of friction between two objects that are in motion relative to each other.

The force of static friction depends on two factors: the normal force acting on the object and the coefficient of static friction between the object and the surface it is in contact with. The normal force is the perpendicular force that acts on an object in contact with a surface, such as the force of a book resting on a table.

The coefficient of static friction is a dimensionless quantity that represents the frictional force between two objects in contact with each other. It is dependent on the materials of the objects in contact with each other and is always greater than or equal to the coefficient of kinetic friction.

Static friction is an important force in many areas of physics and engineering. It plays a role in the design of machines, the movement of vehicles, and the behavior of materials under different conditions. Understanding static friction is crucial for engineers and scientists to design efficient and effective systems and structures.

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The distance between the glass to have the given heat loss is 2.54 m.

The given parameters:

The area of the glass window is calculated as follows;

\(A = 0.6 \times 0.9\\\\A = 0.54 \ m^2\)

The distance between the glass is calculated as follows;

\(Q = \frac{KA \Delta T}{\Delta x} \\\\\Delta x = \frac{kA \Delta T}{Q} \\\\\Delta x = \frac{0.8 \times 0.54 \times 24 }{4.09} \\\\\Delta x = 2.54 \ m\)

Thus, the distance between the glass to have the given heat loss is 2.54 m.

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Answer:

circumference= 65/3  cm = 21.67 cm

radius R = 3.45 cm

Explanation:

To calculate the length of the circumference of the cylinder, we divide 650 cm by 30 (the number of times it wrapped exactly around it)

length of circumference= 65/3  cm = 21.67 cm

now use the formula of the circumference length to find the radius (R):

circumference length = 2 * pi * R

65/3 = 2 * pi * R

R = 65 / (6 pi)

R = 3.45 cm

The acceleration of a motorcycle that accelerates from rest (0m/s) to 80km/h in 4s is 5.56m/s².

Acceleration is the amount by which a speed or velocity increases (and so a scalar quantity or a vector quantity).

The acceleration of a body can be calculated using the following formula;

a = (v - u)/t

Where;

According to this question, a motorcycle accelerates from rest (0m/s) to 80km/h in 4s. The acceleration can be calculated as follows:

a = (22.2222 - 0)/4

a = 5.56m/s²

Therefore, 5.56m/s² is the acceleration of the motorcycle.

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Answer:

The time it will take the mega-ray blaster to hit the ground is 2.57 s.

Explanation:

Given;

initial velocity of Optimus Prime, u = 24 m/s

height of fall of the mega-ray blaster, h = 94 m

The time of fall of the mega-ray blaster is calculated using the following kinematic equation;

\(h = ut + \frac{1}{2}gt^2\\\\94 = 24t + \frac{1}{2}(9.8)t^2\\\\94 = 24t + 4.9t^2\\\\4.9t^2 +24t -94 = 0\\\\Use \ formula \ method \ to \ solve \ for \ "t"\\\\a = 4.9 , b = 24, c = -94\\\\t = \frac{-b \ +/- \ \sqrt{b^2 -4ac} }{2a} \\\\t = \frac{-24 \ +/- \ \sqrt{(24)^2 -4(-94 \times4.9)} }{2(4.9)} \\\\t = \frac{-24 \ +/- \ \sqrt{2418.4} }{9.8}\\\\t = \frac{-24 \ +/- \ 49.177 }{9.8}\\\\t = \frac{-24 \ +\ 49.177 }{9.8} \ \ or \ \ t = \frac{-24 \ -\ 49.177 }{9.8} \\\\\)

\(t = 2.57 \ s \ \ or \ \ t = -7.47 \ s\)

t = 2.57 s

Therefore, the time it will take the mega-ray blaster to hit the ground is 2.57 s.

Answer:

1.01m

Explanation:

period of pendulum = 2π√l/g

for length .59 m period is 1.54 s

every 24 hrs period increases by 60s or 1 min

except length rest of the components are constant

so the period becomes 2.54 at 24 hrs

for 2.54, the length is 1.601 m

length to be adjusted is 1.6-.59=1.01m