Which object would have the greatest acceleration?

The centripetal acceleration of the mass is 10 m/s².

The centripetal acceleration of the mass when it is at the lowest position is calculated as follows;

Tsinθ = ma - mg

where;

when the mass is at the lowest position, θ = 0

The centripetal acceleration of the mass is calculated as follows;

T sin (0) = ma - mg

0 = ma - mg

ma = mg

a = g

Given that g, acceleration due to gravity = 10 m/s²

Hence, a = 10 m/s²

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The complete question is below:

A mass m is suspended by a massless string forming a simple pendulum of length 2.0 m. The string of the pendulum is initially at an angle of 60° with the vertically downward direction when the mass is released from rest. Calculate the centripetal acceleration of the mass when it is at the lowest position ( take g = 10 m/s²).

C. The center of mass and center of gravity will coincide if the acceleration due to gravity is constant or uniform.

The center of mass of an object is the unique point where the weighted relative position of the distributed mass sums to zero.

Center of gravity is the point from which the weight of a body or system may be considered to act.

Thus, the center of mass and center of gravity will coincide if the acceleration due to gravity is constant or uniform.

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Answer:

The graph of the velocity of an object in free fall would look like a straight line sloping downward. As the object falls, its velocity increases at a constant rate, so the graph of its velocity versus time will be a straight line with a negative slope. This is because acceleration due to gravity is a constant -9.8 meters per second squared, so the velocity of a free-falling object will increase by 9.8 meters per second every second.

Therefore, the graph that shows the change in velocity of an object in free fall is a straight line with a negative slope. Here is an example of such a graph:

Free Fall Velocity Graph

The distance between two consecutive nodes and the amplitude after 0.56s are m/2 and 1.75×10^(-4) m respectively.

= 2π/(4π÷m)

= m/2

Displacement after 0.56 s = 0.008×cos(50π×0.56s)

=1.75×10^(-4) m

Thus, we can conclude that the distance between consecutive nodes and displacement after 0.56 s are m/2 and 1.75×10^(-4) m respectively.

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Question: The particle displacement y of air molecules due to a sound wave is given by y=0.008coswtsinkz where k=4π÷m and w=50π rads/s.

Calculate:

I) the distance between 2 consecutive nodes

ii) the amplitude after 0.565s

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Potential energy is the energy acquired by an object by virtue of its position.

Potential energy of the ball at the 4th step = 40 J

Let the mass of the ball, m is 1 kg

So, potential energy at 4th step,

mgh = 40

h = 40/1 x 9.8

h = 4.1 m

So, the height of each steps, h' = 4.1/4

h' = 1.025 m

Therefore, potential energy at 1,

PE₁ = 1 x 9.8 x 1.025

PE₁ = 10.045 J

Therefore, potential energy at 2,

PE₂ = 1 x 9.8 x 2 x 1.025

PE₂ = 20.09 J

Therefore, potential energy at 3,

PE₃ = 1 x 9.8 x 3 x 1.025

PE₃ = 30.13 J

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a. A high-pitch wave is characterized by a high frequency and a short wavelength. The frequency determines the pitch of the sound, with higher frequencies corresponding to higher pitches.

The wavelength is the distance between two consecutive peaks or troughs of the wave and is inversely proportional to the frequency. Therefore, a high-pitch wave has a shorter wavelength.

The amplitude of the wave, which is the height of the peak or the depth of the trough, is not directly related to the pitch of the sound, but it does determine the volume or intensity of the sound.

b. A high-volume wave is characterized by a high amplitude and a relatively long wavelength. The amplitude determines the volume or intensity of the sound, with higher amplitudes corresponding to louder sounds.

The wavelength of the wave does not directly affect the volume of the sound, but it can affect how the sound is perceived in different environments.

In general, longer wavelengths are more effective at traveling through obstacles such as walls and are better at penetrating long distances, whereas shorter wavelengths are more easily scattered and attenuated in the atmosphere.

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The current flowing through the 1Ω resistor in the circuit is 0.66 A.

The emf of the cells, V = 1.1 V

Internal resistance of the cells, r = Ω

Resistance across the circuit, R = 1 Ω

According to Kirchhoff's current law, the total current flowing into and out of a junction in an electrical circuit is equal.

According to Kirchoff's current law,

(1.1 - V'/2) + (1.1 - V'/2) + (1.1 - V'/2) = V'/1

3/2(1.1 - V') = V'

3.3 - 3V' = 2V'

5V' = 3.3

Therefore, the terminal velocity of the battery is,

V' = 3.3/5

V' = 0.66 V

Therefore, according to Ohm's law, the current flowing through the 1Ω resistor is given by,

I = V'/R

I = 0.66/1

I = 0.66 A

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Answer:

C. That the small portion of the space we can see is truly representative of all the rest of the universe that we cannot see.

Explanation:

The Cosmological Principle assumes that the small portion of the universe that we can see is representative of the entire universe, even though we can only directly observe a tiny fraction of it. It's an assumption used by Cosmologists to simplify their models of the universe.

Answer:

a protective and waxy or hard layer covering the epidermis of a plant, invertebrate, or shell.

Answer:

The cuticles for animals are a thin layer of clear dead skin around the nail bed on fingers and toes. As the nail grows, it naturally pushes and damages the underside of the skin around the base of the nails, called the eponychium. The space between the eponychium and the bottom of the nail is where the cuticle is located.  

The cuticle definition related to plants is a protective and waxy or hard layer covering the epidermis. The plant cuticle is an extracellular hydrophobic layer that covers the aerial epidermis.

Explanation:

Answer:

A.

Explanation:

It's " Mid-ocean ridge". Have a nice day!

The momentum of the monkey of mass 5 kg is 25 kgm/s.

Momentum is the product of mass and velocity.

To calculate the momentum of the monkey, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the momentum of the monkey is 25 kgm/s.

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Complete question: A 5kg monkey is running with a velocity of 5 m/s to the right. Find the momentum of the monkey

A ball has a mass of 6 0 kg and a velocity of 10 ms, and its momentum: is p=6×2.2=13.2kg m/s. Q.

Mass, in physics, quantitative measure of inertia, fundamental assets of all rely. it is, in impact, the resistance that a body of remember gives to trade in its pace or position upon the application of pressure. The more the mass of a frame, the smaller the change produced with the aid of an applied force.

Mass is the amount of remembering in a physical frame. it is also a degree of the frame's inertia, the resistance to acceleration when a net force is applied. An item's mass additionally determines the electricity of its gravitational enchantment to different bodies. The SI base unit of mass is the kilogram.

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Venus has the longest time from sunrise to sunset, if a measuring instrument is placed at the planet's equator, so option 2 is correct.

A planet is a celestial body that revolves around the Sun, has enough mass to overcome rigid body forces and take on a hydrostatic stability shape (nearly round), and has cleared the area in and around its orbit.

The diurnal cycle on Mars is remarkably similar to that on Earth. 24 hours, 37 minutes, and 22 seconds comprise its sidereal day, whereas 24 hours, 39 minutes, and 35 seconds add up to its solar day. Thus, a Martian day (known as "sol") is about 40 minutes longer than an Earthly day.

Venus rotates once every 243 days on Earth. The day on Venus is longer than its orbit.

The smallest and nearest planet to the Sun in the Solar System is Mercury. It is the Sun's planet with the shortest orbital period, taking 87.97 Earth days.

Therefore, Venus has the longest time from sunrise to sunset, if a measuring instrument is placed at the planet's equator.

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The period (T) of the right pendulum for small displacements in s is equal to 1.49 seconds.

Mathematically, the time taken by this pendulum to undergo a small displacement is given by this formula:

\(T=2\pi \sqrt{\frac{L}{g} }\)

Where:

Scientific data:

Acceleration due to gravity (g) = 9.8 m/s².

Assuming a randomized variable for the length of the rope to be 1.2 meter. Also, we know that the right pendulum has a radius of 1/2L.

1/2L = L/2

L/2 = 1.1/2

L/2 = 0.55 meter.

Substituting the parameters into the formula, we have;

\(T=2\times 3.142 \sqrt{\frac{0.55}{9.8} }\\\\T=6.284 \times \sqrt{0.0561} \\\\T=6.284 \times 0.2369\)

T = 1.49 seconds.

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Answer:

Explanation:

Using the lens formula

1//f = 1/u+1/v

f is the focal length of the lens

u is the object distance

v is the image distance

For convex lens

The focal length of a convex lens is positive and the image distance can either be negative or positive.

Given f = 20cm and u = 10cm

1/v = 1/f - 1/u

1/v = 1/20-1/10

1/v = (1-2)/20

1/V = -1/20

v = -20/1

v = -20 cm

Since the image distance is negative, this shows that the nature of the image formed by the convex lens is a virtual image

For concave lens

The focal length of a concave lens is negative and the image distance is negative.

Given f = -20cm and u = 10cm

1/v = 1/f - 1/u

1/v = -1/20-1/10

1/v = (-1-2)/20

1/V = -3/20

v = -20/3

v = -6.67 cm

Since the image distance is negative, this shows that the nature of the image formed by the concave lens is a virtual image

Answer:

Option C.

Explanation:

To know which velocity-time graph best describes the motion of the ball, let us calculate the velocity of the ball and the time taken for the ball to get the ground. This can be obtained as follow:

1. Determination of the velocity.

Initial velocity (u) = 0 m/s

Acceleration due to gravity (g) = 9.8 m/s²

Height (h) = 100 m

Final velocity (v) =.?

v² = u² + 2gh

v² = 0² + (2 × 9.8 × 100)

v² = 0 + 1960

v² = 1960

Take the square root of both side.

v = √(1960)

v = 44.27 m/s

2. Determination of the time taken.

Acceleration due to gravity (g) = 9.8 m/s²

Height (h) = 100 m

Time (t) =.?

h = ½gt²

100 = ½ × 9.8 × t²

100 = 4.9 × t²

Divide both side by 4.9

t² = 100 / 4.9

Take the square root of both side

t = √(100 / 4.9)

t = 4.52 s

From the above illustration,

Initial time (t1) = 0 s

Final time (t2) = 4.52 s

Initial velocity (u) = 0 m/s

Final velocity (v) = 44.27 m/s

Thus, we can see that as the time increase, the velocity also increase. Therefore, option C gives the correct answer to the question.

Answer:

Standard units are commonly used units of measurement, which help us measure length, height, weight, temperature, mass and more. These units are standardised, which means that everyone gets the same understanding of the size, weight and other properties of objects and things.

Explanation:

Answer:

2.8 would be the correct answer as 1 rounds down

Watching Gladiators was a a favorite pastime of Roman civilization. It was a game based on the Roman martial ethics. It lasted for nearly thousands of years. Hence option C is correct.

An armed warrior known as a gladiator amused spectators in the Roman Republic and Roman Empire by engaging in bloody fights with other gladiators, wild animals, and condemned prisoners.

Some gladiators were unpaid volunteers who jeopardized their lives as well as their position in society and the law by participating in the fight. The majority endured severe education, were treated like inferiors in society, and were separated even in death.

Regardless of where they came from, gladiators served as a living example of Rome's martial virtues to onlookers, and by fighting or dying honorably, they may win adulation and widespread renown.

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We are given:

Weight on Earth = 300 N

Value of g on the planet = 4 ft/s²

Converting to m/s:

4 ft/s² * (1 m / 3.3 ft) = 13.2 m/s²

Mass of the object:

We know that:

Weight = Mass * g

replacing the given values

300 = Mass * 9.8                                              [g = 9.8 m/s²]

Mass = 300/9.8

Mass = 30.6 kg (approx

Weight on the other Planet:

Weight = Mass * g(on that planet)

Weight = 30.6 kg * 13.2 m/s²

Weight = 403.92 N

Answer:

NATURAL

Explanation:

well this is because a firefly isn't man- made it is a firefly it isn't a robot, it is an insect.

The probability of all the coins landing on tails or that I roll a 10 is The probability of getting less that 0.2

Probability can be explained as the  measure of the likelihood of an event which is about to take place.

It should be noted that  Many events cannot be predicted  having full  total certainty but in some cases can be  predicted with regards with the only the chance of an event to occur.

The possible outcomes that can be gotten if the  three coins are tossed will be  = 23=8

favorable outcome  that can be gotten will be ( HTT, THT, TTH)

probability of having  one head  will be  P(A) = 3/8

The possible outcomes  of a dice  when it is been thrown is  6 which is (1,2,3,4,5,6)

The favorable  of having even number (event B)  with the  dice will be 3 which is  (2,4,6)

The  probability of having the  even number which is  P(B) will be  3/6 = 1/2

Then the P(AB) = P(A)P(B) = (3/8 * 1/2) = 3/16

= 0.1875

Hence the  probability of all the coins landing on tails or that I roll a 10 is The probability of getting less that 0.2

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CHECK THE COMLETE QUESTION BELOW:

The probability is less than 0.20

The probability is greater than 0.22

The probability is between 0.21 - 0.22

The probability is between 0.20 -0.21

The probability is less than 0.10

It can't be determined

Answer:

Explanation:

Voltage = 12 (the two batteries are in series and the voltage adds).

Resistance = 3 ohms

I = V / R

I = 12/3

I = 4 amperes.

None of the answers are the right ones. If there is a fifth one that reads 4 amperes then it is the correct answer.

Answer: B. On the right side

Explanation: Metals are located on the left of the periodic table, and nonmetals are located on the upper right.

The speed of the truck just before braking is 23.24 m/s.

The speed of the truck before braking is calculated by applying the third kinematic equation as shown below.

v² = u² - 2as

where;

When the truck stops, the final velocity = 0

0 = u² - 2as

u²  = 2as

u = √2as

u = √ ( 2 x 6 x 45 )

u = 23.24 m/s

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The frictional force involved when a penny sinks to the bottom of a wishing well is primarily due to viscous drag or fluid friction. As the penny moves through the water, it experiences resistance from the surrounding fluid. This resistance is caused by the frictional forces between the water molecules and the penny's surface.