A metal toy has a moment of inertia Io about its center of mass. A plastic toy has the same shape, but has one-third the density and is twice as large (twice as long, twice as wide, twice as high). What is the moment of inertia of the larger plastic toy about its center of mass in terms of Io?

Answers

Answer 1

The moment of inertia of the plastic toy about its center of mass is twice that of the metal toy: Ip = 2Io.

The moment of inertia (I) of an object depends on its mass distribution and the axis of rotation. In this case, we are comparing two toys, one made of metal and the other made of plastic, with the same shape but different properties.

Let's assume that the metal toy has a mass M and a moment of inertia Io about its center of mass. The plastic toy, on the other hand, has one-third the density of the metal toy but is twice as large.

Therefore, the plastic toy has a mass of 2M and a moment of inertia Ip about its center of mass.

The moment of inertia is directly proportional to the mass and the distribution of mass in an object. Since the plastic toy is twice as large, its mass is also twice as large compared to the metal toy.

Therefore, we can express the moment of inertia of the plastic toy in terms of the moment of inertia of the metal toy as:

Ip = (2M) * k * Io
where k is a constant representing the change in mass distribution due to the size difference.

Since the shape of the toy remains the same, the value of k will be constant for both toys. Thus, the moment of inertia of the plastic toy about its center of mass is twice that of the metal toy: Ip = 2Io.

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Related Questions

A spring attached to a mass is at rest in the initial position (not shown). The spring is compressed in position A and is then released, as shown in position B. Which equation describes the conservation of energy in position A?
\(E=\frac{1}{2} mv^{2} \\E=mgh\\E=\frac{1}{2} kx^{2} \\E=\frac{1}{2} k2kx^{2}\)

Answers

Answer:

Explanation:

The energy conservation is equal to half of the product of the spring constant and the square of displacement of the spring, so option C is correct.

In order to generate electricity from mechanical energy, one essential element needed to
transform the energy into electrical energy is
A.an insulator
B.a magnet or a magnetic field
C. a plastic sphere
D. a light bulb

Answers

B: q magnet or a magnetic field

You may have already used the Blackbody Spectrum simulation to see how the temperature of a substance affects how light is emitted. Many of the light sources you’re familiar with are incandescent light sources. They glow because they have a nonzero temperature. The hotter the source, the more radiant energy it gives off. Now, let’s explore a few different incandescent energy sources and investigate their lighting efficiency. In this simulation, the curve represents the radiation intensity and energy emitted with respect to the wavelength at a given temperature.
To begin, launch the Blackbody Spectrum simulation.

You may have already used the Blackbody Spectrum simulation to see how the temperature of a substance

Answers

The Blackbody Spectrum simulation allows us to explore how the temperature of incandescent light sources affects their emitted light.

First, discuss the relationship between temperature, radiant energy, and lighting efficiency.
Incandescent light sources emit light due to their nonzero temperature. As the temperature of the source increases, the amount of radiant energy it gives off also increases. The Blackbody Spectrum simulation helps us visualize how the temperature of a substance affects the way light is emitted.
In the simulation, a curve represents the radiation intensity and energy emitted with respect to the wavelength at a given temperature. As the temperature rises, the curve's peak shifts towards shorter wavelengths, and the area under the curve increases. This shift indicates that the emitted light becomes more energetic and intense.
However, not all of this emitted energy is in the visible spectrum; a significant portion can be in the form of infrared radiation (heat). Incandescent light sources are not very energy-efficient, as a large portion of their energy output is wasted as heat rather than visible light. The lighting efficiency of an incandescent source is determined by the percentage of radiant energy that falls within the visible spectrum.
To summarize, the Blackbody Spectrum simulation allows us to explore how the temperature of incandescent light sources affects their emitted light. As the temperature increases, the emitted radiant energy also increases. However, a considerable amount of energy is lost as heat, making incandescent sources less energy-efficient compared to other lighting technologies.

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Describe and explain how energy is transferred in the bulbs. Use scientific ideas to support your answer

Answers

Answer:

In the light bulb, the flow of charge through the filament heats it up and causes it to glow. In this way, the light bulb converts electrical energy to heat energy and light energy.

Explanation:

In the light bulb, the flow of charge through the filament heats it up and causes it to glow. In this way, the light bulb converts electrical energy to heat energy and light energy.

ACTIVITY 4
Applying the equation learned, answer the following problems:

1. A bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s. What is its momentum? p = m/s. What Is Its Momentum?

Given:

Find:

Formula:

Solution:

2. A skateboard is rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s. What is its mass?

Given:

Find:

Formula:

Solution:

3. A pitcher throws a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s. What is its velocity?

Given:

Find:

Formula:

Solution:​

Subject Is Science

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Copy Wrong Incomplete=Report

Good Luck Answer Brainly Users:⁠-)

ACTIVITY 4Applying the equation learned, answer the following problems: 1. A bowling ball whose mass

Answers

Answer:

1)  10 kg-m/s

2)  2 kg

3)  20 m/s

Explanation:

The momentum of an object can be calculated using the equation:

\(\large\boxed{p=mv}\)

where:

p is momentum (measured in kilogram meters per second).m is mass (measured in kilograms).v is the velocity (measured in meters per second).

\(\hrulefill\)

Question 1

For this question we need to find the momentum of a bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s.

Given values:

m = 4.0 kgv = 2.5 m/s

Substitute the given values into the momentum formula and solve for p:

\(p=4.0\;\text{kg} \cdot 2.5\;\text{m/s}\)

\(p=10\;\text{kg m/s}\)

Therefore, the momentum of the bowling ball is 10 kg-m/s.

\(\hrulefill\)

Question 2

For this question we need to find the mass of a skateboard rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s.

Given values:

p = 6.0 kg-m/sv = 3.0 m/s

As we want to find mass, rearrange the momentum formula to isolate m:

\(\large\boxed{m=\dfrac{p}{v}}\)

Substitute the given values into the formula and solve for m:

\(m=\dfrac{6.0\; \text{kg m/s}}{3.0\; \text{m/s}}\)

\(m=2\;\text{kg}\)

Therefore, the mass of the skateboard is 2 kg.

\(\hrulefill\)

Question 3

For this question we need to find the velocity of a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s.

Given values:

p = 10 kg-m/sm = 0.5 kg

As we want to find velocity, rearrange the momentum formula to isolate v:

\(\large\boxed{v=\dfrac{p}{m}}\)

Substitute the given values into the formula and solve for v:

\(v=\dfrac{10\; \text{kg m/s}}{0.5\; \text{kg}}\)

\(v=20\;\text{m/s}\)

Therefore, the velocity of the baseball is 20 m/s.


50 kg of water at 75o C is cooled to 25o C. How much heat was given off?



a
1.05 x 105 J

b
-1.05 x 107 J

c
1.67 x 105 J

d
-1.67 x 107 J

Answers

Answer:

b the answer is b

Explanation:

b is the awnser because it cools after the heat on the water witch lets the steam out

The heat energy given off from the system can be determined using calorimetric equation. The heat energy released when 50 Kg water cooled from 75 to 25 degree Celsius is - 1.05 × 10⁵ J.

What is calorimetry?

Calorimetry is an analytical techniques used to determine the heat energy evolved or absorbed by a substance. The specific heat capacity of a substance is the amount of heat energy required to raise the temperature by one degree Celsius per one gram of it. The specific heat of water is 4.18 J/ g °C .

The calorimetric equation relating the heat energy q with the mass of m, specific heat capacity c and temperature difference ΔT is given by,

q = m c ΔT.

Given that mass of water here is 50 Kg or 50000 g. The temperature difference is 50°C.  c for water is 4.18 J/ g °C. Thus, heat energy evolved by cooling is calculated as follows:

q = 50000 g ×  4.18 J/ g °C ×   50°C

  = - 1.05 × 10⁵ J.

The negative sign indicate that heat is released by the system.

Therefore, the heat give off by the cooling of water is - 1.05 × 10⁵ J.

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what is the effect of intermodulation products in a linear power amplifier?

Answers

Intermodulation products in a linear power amplifier can have several effects, including signal distortion and unwanted interference.

Intermodulation products are the result of nonlinearities within the amplifier, where multiple input signals mix and produce additional frequencies that are not present in the original signals. These additional frequencies can fall within the desired frequency range, causing distortion and degradation of the output signal.

The presence of intermodulation products leads to intermodulation distortion (IMD). IMD introduces unwanted spurious signals, creating interference in the form of additional frequencies that can interfere with other nearby signals or frequencies. This interference can affect the performance of other devices or systems operating in the vicinity.

To minimize intermodulation distortion, it is essential to design and operate linear power amplifiers within their linear operating range. Nonlinearities in the amplifier, such as saturation or overload conditions, should be avoided or minimized. Proper filtering and signal conditioning techniques can also help reduce intermodulation products and mitigate their negative effects.

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ventilation can always be provided entirely by natural means, such as by opening doors and windows to provide airflow for low-exposure situations.

Answers

Yes, it is possible for ventilation to be provided entirely by natural means, such as opening doors and windows, especially in low-exposure situations.

However, it's important to note that in more hazardous or high-exposure situations, additional ventilation systems may be necessary to ensure proper air quality and safety. Additionally, it's important to consider factors such as climate, weather, and location when relying on natural ventilation methods.

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At 70 degrees Celsius, the volume of a gas is 49 mL. At the same pressure, it’s volume is 74 mL at what temperature

Answers

Answer:

140 degrees cel

Explanation:

Cold objects are more dense due to the settleing of atoms, when taken advantage of, containers can hold more. but when heated, atoms vibrate alot. due to this they jitter around and take up more space.

when is the object at rest? in constant speed? accelerating?​

Answers

Answer:

Answered in explanaion.

Explanation:

REST: When an object does not change its position with respect to its frame of reference or surrounding, then the object is said to be in the state of rest.

CONSTANT SPEED: When the object covers equal distance in equal intervals of time, the object is said to be moving with constant speed.

ACCELERATING: An object is said to be accelerating when the speed of the object increases with respect to time.

5) [Honors]A seagull, ascending straight upward at 5.2 m/s, drops a shell when it is 12.5m above the ground. (A)
What is the acceleration of the shell right after it is released? (B) Find the maximum height above the ground
reached by the shell. (C) How long does it take for the shell to return to a height of 12.5m above the ground?

Answers

Answer:

(B) 13.9 m

(C) 1.06 s

Explanation:

Given:

v₀ = 5.2 m/s

y₀ = 12.5 m

(A) The acceleration in free fall is -9.8 m/s².

(B) At maximum height, v = 0 m/s.

v² = v₀² + 2aΔy

(0 m/s)² = (5.2 m/s)² + 2 (-9.8 m/s²) (y − 12.5 m)

y = 13.9 m

(C) When the shell returns to a height of 12.5 m, the final velocity v is -5.2 m/s.

v = at + v₀

-5.2 m/s = (-9.8 m/s²) t + 5.2 m/s

t = 1.06 s

For the seagull that is ascending straight upward at 5.2 m/s and drops a shell when it is 12.5 m above the ground, we have:

A) The acceleration of the shell right after it is released is given by the acceleration due to gravity = 9.81 m/s².  

B) The maximum height above the ground reached by the shell is 13.9 m.  

C) The time for the shell to return to a heigh of 12.5 m above the ground is 1.06 s.

A) Since the shell is dropped, the acceleration after it is released is the same at each point of height as it falls, so the acceleration of the shell is:

\( g = 9.81 m/s^{2} \)

Where g is the acceleration due to gravity

Hence, the acceleration of the shell is 9.81 m/s²

B) The maximum height reached by the shell can be calculated with the following equation:

\( h_{max} = h_{i} + h_{f} \)   (1)

Where:

\( h_{i} \): is the initial height = 12.5 m

\( h_{f} \): is the final height

The final height is the height reached by the shell after it is released. It can be calculated with the next equation:

\( v_{f}^{2} = v_{i}^{2} - 2gh_{f} \)   (2)

Where:

\( v_{f}\): is the final velocity = 0 (in the maximum height)

\( v_{i}\): is the initial velocity = 5.2 m/s

\(h_{f}\): is the height reached by the shell after it is released

The final heigh is (eq 2):

\( h_{f} = \frac{v_{i}^{2}}{2g} = \frac{(5.2 m/s)^{2}}{2*9.81 m/s^{2}} = 1.4 m \)

Now, the maximum height is (eq 1):

\( h_{max} = h_{i} + h_{f} = 12.5 m + 1.4 m = 13.9 m \)

Then, the maximum height reached by the shell is 13.9 m.

C) The time for the shell to go from the maximum height to 12.5 m (falling time) can be calculated with:

\(y_{f} = y_{i} + v_{i}t - \frac{1}{2}gt^{2}\)

Where:

\(v_{i}\): is the initial velocity in its way down = 0 (it is going free fall)

\( y_{f} \): is the final height = 12.5 m  

\( y_{i} \): is the initial height = 13.9 m (maximum height)

The falling time is:

\(12.5 m = 13.9 m + 0 - \frac{1}{2}9.81 m/s^{2}*t_{f}^{2}\)  

\(t_{f} = \sqrt{\frac{2*(13.9 m - 12.5 m)}{9.81 m/s^{2}}} = 0.53 s\)

Now, the time to return to 12.5 is twice the above time (time to go up plus the time to go down).  

\( t = 2*t_{f} = 2*0.53 s =  1.06 s \)

Therefore, the time for the shell to return to a height of 12.5 m is 1.06 s.

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5) [Honors]A seagull, ascending straight upward at 5.2 m/s, drops a shell when it is 12.5m above the

I am pushing a wheelbarrow. I do 35J of work on the wheelbarrow to increase its speed. Have I done positive or negative work on the wheelbarrow? How do you know?

Answers

The work accomplished is positive if you are pushing the wheelbarrow in the direction of its motion.

What is work?

Work is the application of a force over a distance to transfer energy from one system to another.

The International System of Units' Joule (J) is commonly used as the unit of work (SI).

How to determine it?

When an object is being moved and a force is being applied, work is being done. Given that you are pushing the wheelbarrow, the force you are exerting is in a direction that corresponds to the displacement (increase in speed) of the wheelbarrow, so the effort you have done is beneficial.

Work is created by multiplying force by displacement as a scalar. Work is accomplished when the directions of force and displacement are identical. Negative work is done when the forces of force and displacement are in conflict. As a result, work accomplished is positive if you are pushing the wheelbarrow in the direction of its motion, and negative if you are not.

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Periodontal diseases in teeth and osteoarthritis are common problems that show up on skeletal remains.
O A. True
OB.
False

Answers

The answer to this question is true

c) The height of a mountain is 1360m. The barometer reading at the base of the mountain is 74cmHg. Given that the densities of mercury and air are 13,600Kgm and 1.25Kgm respectively, determine (3mks) the barometer reading at the top of the mountain.​

Answers

The barometer reading at the top of the mountain is  98,737.6 Pa.

What is the barometer reading at the top of the mountain?

The barometer reading at the top of the mountain is calculated as follows;

Atmospheric pressure at base = ρgh

= 1.25 kg/m³ x 9.81 m/s² x 0.74 m

= 9.1 Pa

Pressure due to mercury column at base;

= 13,600 kg/m³ x 9.81 m/s² x 0.74 m

= 98,727.8 Pa

Total pressure at base = Atmospheric pressure + Pressure due to mercury column

= 9.1 Pa + 98,727.8 Pa

= 98,736.8 Pa

The total pressure at the top of the mountain can be calculated as follows;

Total pressure at top = Pressure due to mercury column + ρgh

98,736.8 Pa  = 101,325 Pa   + 1.25 kg/m³ x 9.81 m/s² x h

98,736.8 Pa = 101,325 Pa  + 12.263h

12.263h = -2,588.2

h = -211 m

Barometer reading at top;

= 101,325 Pa + 1.25 kg/m³ x 9.81 m/s² x (-211 m)

= 98,737.6 Pa

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Calculate empirical formula of each compound: A. 94.1% O, 5.9% HB. 67.6% Hg, 10.8% S, 21.6% O

Answers

A. To calculate the empirical formula, we first need to find the molar ratios of the elements in the compound.

For compound A:
- 94.1% O = 5.88 mol O
- 5.9% H = 5.9 mol H

To find the empirical formula, we need to divide each of these numbers by the smallest number of moles:
- 5.88 mol O / 5.88 mol = 1 O
- 5.9 mol H / 5.88 mol = 1.01 H

The empirical formula of compound A is OH.

For compound B:
- 67.6% Hg = 1.00 mol Hg
- 10.8% S = 0.34 mol S
- 21.6% O = 1.35 mol O

Dividing by the smallest number of moles:
- 1.00 mol Hg / 0.34 mol = 2.94 Hg
- 0.34 mol S / 0.34 mol = 1 S
- 1.35 mol O / 0.34 mol = 3.97 O

Rounding to the nearest whole number:
- The empirical formula of compound B is Hg3S4O4.

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Saturn is 1,200,000,000 kilometers from earth. What is the distance in standard form using meters?​

Answers

1200000000000 meters

Answer:

That would be 1,200,000,000,000

Explanation:

Hope this helps

Imagine that instead of looking at ice in water, you were looking at a rock in magma, respectively. Assume that the rock solidified from the magma. What do you expect to happen next? To answer this question, you can think of the water in the glass as liquid magma, and the ice as a solid rock solidified from the magma.
A. The rock would sit in the magma at about the same proportional depth as the ice sits in the water.
B. The rock would rise up and extend higher above the magma as proportionally compared to the position of the ice in the water.
C. The rock would sink to the bottom of the magma.

Answers

c. The rock would fall to the magma's base.

This is due to the fact that rock generally has a density higher than the magma from which it crystallized.

The rock would sink to the bottom because it would be denser than the surrounding magma, much like how a solid ice cube descends to the bottom of a glass of water.

Why is it known as magma?When molten rock behaves similarly to a thick, pasty substance within the Earth, the word "magma" is derived from the Italian language. Another word for molten rock is lava, which is an Italian word that means to slide.Where does magma originate?

Magma originates above the oceanic crust slab that is subducting, builds up at the bottom of the Earth's inflexible crust, and then gathers in a storage zone 13 km (8 mi) beneath the volcano before erupting.

Why does a magma form?

Mantle rock melting causes magma to develop. The rocks begin to melt a little bit as they rise (or as water is added to them).

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How much energy would be required to accelerate a particle of mass m from rest to a speed of
a) 0.5c
b) 0.9c
c) 0.99c
Express your anwser in multiples of the rest energy

Answers

The energy required to accelerate a particle to speeds of 0.5c, 0.9c, and 0.99c can be calculated as 1.15E₀, 2.29E₀, and 7.08E₀, respectively, where E₀ represents the rest energy of the particle.

Einstein's mass-energy equivalence states that the total energy (E) of an object is equal to its mass (m) multiplied by the speed of light (c) squared, E = mc². To calculate the energy required to accelerate a particle to a specific speed, we need to consider the relativistic effects.

To express the energy in terms of the rest energy (E₀), we divide the total energy (E) by mc², resulting in E/E₀. Thus, for speeds of 0.5c, 0.9c, and 0.99c, we can calculate the energy required as follows:

a) For a speed of 0.5c:

  E/E₀ = (mc²)/(mc²) = 1E₀

  The energy required is equal to the rest energy.

b) For a speed of 0.9c:

  E/E₀ = γmc²/mc² = γ = 1/(1 - v²/c²)^(1/2)

  Here, v = 0.9c, so γ = 2.29

  The energy required is 2.29E₀.

c) For a speed of 0.99c:

  E/E₀ = γmc²/mc² = γ = 1/(1 - v²/c²)^(1/2)

  Here, v = 0.99c, so γ = 7.08

  The energy required is 7.08E₀.

Therefore, the energy required to accelerate a particle to speeds of 0.5c, 0.9c, and 0.99c is 1.15E₀, 2.29E₀, and 7.08E₀, respectively, where E₀ represents the rest energy of the particle.

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PLEASE HELP ME!
A student notices that when calcium chloride is placed in water, the test tube feels warm. What kind of reaction has taken place?


A. Combustion Reaction


B. Endothermic Reaction


C. Exothermic Reaction


D. Endergonic Reaction

Answers

Answer:

C. Exothermic Reaction

Explanation:

Let's go through the choices

A. Combustion - Combustion is a highly exothermic / redox reaction which produces light and heat (i.e basically it bursts into flames). In the description, the only reaction is that it feels warm, hence this is not the answer.

B. Endothermic - Recall that endothermic reactions absorbs heat and thus cools the surroundings thereby making test tube feel cooler. this is obviously not the case so this is not the answer.

C. Exothermic - Recall that exothermic reactions releases heat and thus causes the surroundings thereby making the test tube feel warmer (or hotter in some cases). This describes our situation so THIS IS THE ANSWER.

D. Endergonic reactions require an input of energy from an external source that is adsorbed by the reaction (for example if heat was applied by an external source). In this case, there is no mention of additional energy sources. Hence this is probably not the answer.

A rock is thrown with a force of 500 N and an acceleration is 75 m/s^2. What is its mass?
A. 575 kg
B. 3.8 x 104 kg
C. 0.15 kg
D. 6.7 kg

Answers

Answer:

We conclude that the mass of a rock with a force of 500 N and an acceleration of 75 m/s² is 6.7 kg.

Hence, option D is correct.

Explanation:

Given

Force F = 500 NAcceleration a = 75 m/s²

To determine

Mass m = ?

Important Tip:

The mass of a rock can be found using the formula F = ma

Using the formula

\(F = ma\)

where

F is the force (N) m is the mass (kg) a is the acceleration (m/s²)

now substituting F = 500, and a = 75 m/s² in the formula

\(F = ma\)

\(500 = m(75)\)

switch sides

\(m\left(75\right)=500\)

Divide both sides by 75

\(\frac{m\cdot \:75}{75}=\frac{500}{75}\)

simplify

\(m=\frac{20}{3}\)

\(m=6.7\) kg

Therefore, we conclude that the mass of a rock with a force of 500 N and an acceleration of 75 m/s² is 6.7 kg.

Hence, option D is correct.

What is the purpose of making a large rna molecule and then throwing parts of that molecule away?.

Answers

The purpose of making a large RNA molecule is translating genetic information

What is translation?

It is the process by which RNA is used to produce proteins

Molecules

A molecule is the smallest part of a substance which can normally exist alone and still retain the properties of that substance.

The translation continues into the molecular machines and structures of the cell to regulating the activity of genes during development, cellular differentiation, and changing environments.

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What happens to the wavelength of a wave if the frequency quadruples, but the wave is in the same medium?

A. The wavelength will go down to half the original amount.

B. The wavelength will go down to one-fourth of the original amount.

C. The wavelength will be quadruple.

D. The wavelength will double.

Answers

Answer:

I think C? I'm not sure totally though...

Explanation:

A 969 n sky diver has opened his parachute to slow his descent to a constant speed the parachute applies 1,323 n of force. what deceleration does he experiences

Answers

Answer:

See below

Explanation:

Find mass of skydiver

F = mg

969 = m ( 9.81)   so m = 98.8 kg

NET deccel force = 1323-969 = 354 N

F=ma

354 = 98.8 (a)  = 3.58 m/s^2   decceleration

An 82.0-kg person rides on a carnival ride in a 45.0-kg basket supported by a single chain. When the ride reaches its top speed, the basket moves at a constant speed in a horizontal circle with a radius of 7.10 m. At this point, the chain supporting the basket is at a 45.0 angle to the vertical. A)At top speed, how large are the vertical and horizontal components of the tension in the chain? (Hint: The vertical component of the tension equals the weight it supports.) B) What is the magnitude of the centripetal acceleration of the basket and its passenger? C) What is the speed of the basket and its passenger? D) How long does it take the basket to make one complete circle?

Answers

The vertical component of the tension is 1,177.05 N while the horizontal component of the tension is 127.47 × 3.90² = 1,949.04 N.

The magnitude of the centripetal acceleration is 2.14 m/s².

What is the value of the vertical and horizontal components of the tension in the chain?

A) The vertical component of the tension equals the weight it supports, which is the weight of the person plus the weight of the basket:

Weight = (82.0 kg + 45.0 kg) × 9.81 m/s²

Weight = 1,177.05 N

Therefore, the vertical component of the tension is 1,177.05 N.

To find the horizontal component of the tension, we can use the fact that the net force in the horizontal direction is zero when the basket is moving at a constant speed.

The only horizontal force is the component of the tension perpendicular to the radius, so:

The horizontal component of tension = centripetal force

Horizontal component of tension = (mass × centripetal acceleration)

Horizontal component of tension = (82.0 kg + 45.0 kg) × (v²/7.10 m)

Horizontal component of tension = 127.47 v² N

Setting these two components equal to each other gives:

1,177.05 N = 127.47 v² N

Solving for v gives:

v = 3.90 m/s

Therefore, the horizontal component of the tension is 127.47 × 3.90² = 1,949.04 N.

B) The centripetal acceleration is given by:

a = v²/r

a = (3.90 m/s)²/7.10 m

a = 2.14 m/s²

Therefore, the magnitude of the centripetal acceleration is 2.14 m/s².

C) The speed of the basket and its passenger is 3.90 m/s.

D) The time it takes the basket to make one complete circle is given by:

T = 2πr/v

T = 2π(7.10 m)/3.90 m/s

T = 12.9 s

Therefore, it takes the basket 12.9 s to make one complete circle.

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A baseball is traveling ( 20 m/s) and is hit by a bat. it leaves the bat traveling (−30 m/s). what is the change in the velocity? remember that direction is what makes velocity different than speed. responses ​−10 m/s​ ​ negative 10 meters per second ​, ​−20 m/s​ ​ negative 20 meters per second ​, ​−30 m/s​ ​ negative 30 meters per second ​, ​−50 m/s

Answers

-50 m/sec is the change in the velocity. Correct option is: d

What is velocity?

A particle or object moves with respect to time while moving at a certain speed, which is expressed vectorially as velocity. The metre per second (m/s) is the accepted unit of velocity magnitude (also known as speed). Alternately, the amount of velocity can be expressed in centimetres per second (cm/s).

Speed is denoted by the letter v (italic), whereas velocity is denoted by the letter V (boldface). A bar is added above the symbol for average values as well.

A vector quantity called velocity (v) measures displacement over time (Δt), or the change in position (Δs).

Given that,

A baseball is traveling ( 20 m/s) and is hit by a bat

it leaves the bat traveling (−30 m/s).

Now calculate the change in velocity:

Δv = v₂ - v₁

or, Δv = (-30) - 20

or, Δv = - 50 m/sec

It acts on the negative direction.

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Which of the following provide electrical resistance in a simple circuit? *

a battery
a wall outlet
a voltage source
a light bulb

Answers

Answer:

A light bulb

Explanation:

Sorry of it wrong

1.A motorcycle’s velocity at the top of the hill is 11.0 m/s. 4.0 seconds later it reaches the bottom of the hill with a velocity of 20.0 m/s. What is the acceleration of the motorcycle?

2.A motorcycle’s velocity at the top of the hill is 11.0 m/s. 4.0 seconds later it reaches the bottom of the hill with a velocity of 20.0 m/s. What is the acceleration of the motorcycle?

Answers

Answer:

1) as far as I remember

Let's take 20 as vf (final velocity) and 11 as (initial velocity) and 4 as time

So we would use this formula a=vf-vi/t

So 20-11/4

Asnwer 2.25

The slope of the line tangent to the curve on a position-time graph at a specific time is the

Answers

Answer:

I do I make a brinliest can you please can me

find the line segement in the distance vs time graph that has the greatest slope. this will tell you when runner reached their maxium velocity

Answers

To locate the line segment with the highest slope in a distance vs time graph, first determine the rate of change between the two locations on the line. Because the slope depicts the runner's velocity.

the line segment with the greatest slope shows the moment at which the runner attained their maximum velocity. To compute the slope of a line segment, take the distance difference (y) and divide it by the time difference (x). The slope is therefore defined as y/x. The higher the velocity, the steeper the slope. To locate the line segment with the highest slope, calculate the slope for each line segment on the graph and select the highest one. This will provide you the time when the runner attained their top speed.

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A tsunami hits northern California at a frequency of 0.25 Hz and a wavelength of 8000 m. What is the speed of the wave?​

Answers

Answer:

2000 m/s

Explanation:

The speed of a wave is it's frequency * wavelength. In this case, the frequency is 0.25 Hz (waves per second) and the wavelength is 8000m. So the speed of the wave will be 0.25Hz * 8000m which is 2000 meters per second.

A tsunami hits northern California at a frequency of 0.25 Hz and a wavelength of 8000 m. What is the

A tsunami when hits north California, its speed will be 2000m/s.

What is tsunami?

The tsunami caused by the movement of tectonic plates at the sea or ocean floor or due to large volcanic activities . These are high energy waves that can destroy everything.

What is speed?

Speed was the pace as well as the direction of an object's movement, whereas speed would be the time rate whereby an object is traveling along a path. In other words, velocity is just a vector, whereas speed would be a scalar value.

In the question, given data is ,

frequency (n) = 0.25 Hz.

Wavelength (λ) = 8000msince

speed of wave  (v) = n.λ

on putting values.    

v = 0.25×8000 =2000m/s

Hence, the speed of the wave is 2000m/s.

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