- At time t = 0, a small ball is projected vertically upwards from a point A which is 24.5 m above the ground. The ball first comes to instantaneous rest at the point B, where AB = 19.6 m and first hits the ground at time t = T seconds. = The ball is modelled as a particle moving freely under gravity. (a) Find the value of T.​

Answers

Answer 1

The value of time needed to complete the upward and the downward motion is, T=5sec .T is the time at which the ball first hits the ground.

What is the time period?

The time period is found as the ratio of the displacement and the velocity. Its unit is second and denoted by t

The given data in the problem is;

The time required to move upwards is,t₁

The time required to move downwards is,t₂

The distance traveled is,s= 19.6m

The gravitational acceleration is, g=9.81 m/s

At the highest position, the velocity of the ball is zero;

The time required to move upwards is found as;

[tex]\rm S_1 = ut + \frac{1}{2} at^2 \\\\ \rm S_1 = \frac{1}{2} (-g)t_1^2 \\\\ t_1= \sqrt{\frac{2S_1}{g} } \\\\ t_1= \sqrt{\frac{2 \times 19.6 }{9.81} } \\\\ t_1= 2 \ sec[/tex]

The time required to move downward is found as;

[tex]\rm S_2 = ut + \frac{1}{2} at_2^2 \\\\ \rm S_1 = \frac{1}{2} (-g)t_2^2 \\\\ t_2= \sqrt{\frac{2S_2}{g} } \\\\ t_2= \sqrt{\frac{2 \times 44.1 }{9.81} } \\\\ t_2= 3 \ sec[/tex]

The total time period is the sum of the time required to move upwards and the time required to move downwards.

T =t₁+t₂

T=2+3

T=5 sec

Hence the value of T will be 5 sec.

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Related Questions

What happens to an object’s momentum if its mass is reduced by half but its velocity remains the same?

Answers

If the mass of an object is halved and its velocity remains the same, its momentum will be halved.

What is momentum?

Momentum is the quantity of motion of a moving body, measured as a product of its mass and velocity.

We can calculate the momentum of an object using the following expression.

p = m × v

where,

p is the momentum.m is the mass.v is the velocity.

The initial momentum of the object is:

p₁ = m₁ × v₁

If its mass is reduced by half but its velocity remains the same, the new momentum is:

p₂ = m₂ × v₁ = 0.5 m₁ × v₁ = 0.5 p₁

If the mass of an object is halved and its velocity remains the same, its momentum will be halved.

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if i release one steel ball from the top of a ramp and the other ball from the 40cm mark will they have the same acceleration?

Answers

Answer:

Yes, they will also have the same acceleration. Acceleration is controlled by the amount of weight (def. amount of gravitational pull on a given object) that the ball has. For one ball to accelerate quicker than the other, it would need a propulsion element, which it does not.

Explanation:

Brainliest if correct Question 7 of 10
Which two options are forms of potential energy?
A. Nuclear energy
B. Electrical energy
C. Thermal energy
D. Sound energy
E. Chemical energy

Answers

Answer:

Electrical energy and Chemical energy

Explanation:

Good luck on the quiz dawg, I'm doing the same one LOL

2. An object’s velocity is measured to be v (t) = αt−βt2, where α = 4.00 m/s2 and β = 2.00 m/s3. Calculate the average acceleration of the object from t = 0.0 s to t = 3.0 s

Answers

Hi there!

Given the values for α and β, we can plug these into the given equation:

[tex]v(t) = 4t - 2t^2[/tex]

Begin by solving for the velocity at t = 0 and t = 3:

At t = 0:
[tex]v(0) = 4(0) - 2(0^2) = 0 \frac{m}{s}[/tex]

At t = 3:
[tex]v(3) = 4(3) - 2(3^2) = 12 - 18 = -6 \frac{m}{s}[/tex]

Acceleration is the SLOPE of the velocity graph (its derivative), so we can use the kinematic equation:

[tex]a = \frac{v_f - v_i}{\Delta t}[/tex]

Plug in the knowns:

[tex]a = \frac{-6-0}{3 - 0} = \boxed{-2 \frac{m}{s^2}}[/tex]

If you are driving 80 km/h along a straight road and you look to the side for 2.1 s , how far do you travel during this inattentive period?

Answers

Velocity = displacement / time

First, Always make sure that your units for things are the same. In this question, we are given time in seconds and hours. So, we need to make them all use 1 unit.

I will do seconds.

To convert 80km/h to m/s, divide by 3.6.

22.2222…. m/s = displacement / 2.1s

Multiply by 2.1s on both sides

46.6666……m = displacement

You travelled 47 meters.

a computer printer has a width of 18in. What is it’s width

Answers

Answer:

0.46 m. hope this helps.

Answer:

0.46 Meters

Explanation:

As a boy pulls a sled carrying his sister, he exerts a force of 2.6 lbs.at an angle of 30 degrees with the ground. How much work does he do if he pulls her at a constant speed for exactly one-half mile (2640 ft)?

Answers

The amount of work done by the boy in pulling the sled is 8064.41 J

Definition of work done

Workdone is defined as the product of force and distance moved in the direction of the force. It can be expressed mathematically as:

Workdone (Wd) = force (F) × distance (d)

Wd = Fd

Considering angle projection,

Wd = FdCosθ

How to determine the workdone Force (F) = 2.6 lb = 2.6 × 4.448 = 11.5648 NDistance (d) = 2640 ft = 2640 × 0.305 = 805.2 mAngle (θ) = 30°Workdone (Wd) =?

Wd = FdCosθ

Wd = 11.5648 × 805.2 × Cos 30

Wd = 8064.41 J

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You walk from chisale to st Francis a distance of 6km/h and 50minutes.Find the average speed in m/s​

Answers

Answer:

[tex]{ \tt{average \: speed = \frac{distance}{time} }} \\ \\ { \tt{ = \frac{(6 \times 1000) \: m}{(50 \times 60) \: s} }} \\ \\ { \tt{ = \frac{6000}{3000} }} \\ \\ = { \underline{ \tt{ \: 2 \: {ms}^{ - 1} \: }}}[/tex]

You walk from chisale to st Francis a distance of 6km/h and 50minutes,  the average speed in m/s​ will be 2m/s

What is average speed ?

The average speed of a moving object is defined as the total distance covered by it divided by the total time taken.

The S.I unit of speed is meter per second. Speed is also measured in kilometer per hour.

Average speed is a scaler quantity

Average speed is the total distance travelled by an object to the total time taken. However, average velocity is the change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs. No matter how many times the speed has been changed to travel the entire distance , average speed is that constant speed value with which one can travel by and reach the same distance in same amount of time .

It can be calculated with a formula average speed = distance / time

given

distance = 6 km = 6000 m

time = 50 minutes = 50 * 60 = 3000 sec

average speed = distance / time

                          = 6000 / 3000 = 2m/s

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2. How are the speed, wavelength, and frequency of a wave related

Answers

Answer:

speed = wavelength * frequency

Explanation:

speed = wavelength * frequency

Do you think protection of one species can protect its community? Why?

Answers

Answer:

I think that protection of one species can not protect its community.

Explanation:

The advantage of protecting entire ecosystems is the most effective way to save species because species confined to a small area could be wiped out by a single natural disaster. Some species require a large range to find adequate food or mate. Therefore, protecting the habitats of endangered and threatened species often means preserving or managing large areas (entire ecosystem).

Question 14 (1 point)
One star has a temperature of 20,000 K and another star has a temperature of 8,000
K. Compared to the cooler star, how much more energy per second (how many times
more energy) will the hotter star radiate from each square meter of its surface?

Answers

We have that the more energy per second to radiated by the hotter  is mathematically given as

Energy per second=256

Energy per second to radiated

Question Parameters:

One star has a temperature of 20,000 K

and another star has a temperature of 8,000

Generally the equation for the Energy per second   is mathematically given as

Energy per second is Proportional to T^4

Where

T=20000/8000

T=4

therefore

Energy per second=4^4

Energy per second=256

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A ball is dropped from the top of a building.
When does the ball have the least potential energy?
O after it has hit the ground
O half way through the fall
O as it is released
O just before it hits the ground

Answers

Answer:

after it has hit the ground

.........

Answer: A. after it has hit the ground

1. One light goes out, they all go out

correct answer:✅series


Voltage and current are directly related

wrong answers: no circuits and parallel

hint:More voltage from the battery pushes more current through.


resistance and current are directly related

wrong answers: all circuits and parallel

hint: If you have more resistance in a circuit, does the current go up? That's what would happen if they were directly related.


Voltage and resistance are unrelated

correct answer:✅all circuits


answer choices are series, parallel, all circuits, and no circuits


2.Which will make the electromagnet weaker?

correct answer:Unwrapping some of the coils.


3.Why do gases exert more pressure or increase their volume when the temperature is raised?

correct answer:At higher temperatures, the particles of a gas move faster. This increase in kinetic energy can increase the pressure and / or the volume of the gas.

hint: A few reminders of definitions from last semester:

Kinetic energy is the energy of motion.

Temperature is the average kinetic energy of the particles in a sample.

For a gas:

Temperature and pressure are directly related.

Temperature and volume are directly related.

Pressure and volume are inversely related.


4.Which group naturally achieves the octet rule without gaining or losing electrons?

correct answer:Noble gases


5.Label each as a physical or chemical property/change.

Shiny -✅physical

electrolyte -✅physical

highly reactive -✅chemical

In the presence of oxygen, will form carbon dioxide and water -✅chemical

maellable -✅physical

rusts -✅chemical

acid rain erodes statues and monuments -✅chemical


6.Which statement is true about the groups on the periodic table?

correct answer:The halogens have 7 valence electrons and form -1 ions.


7. Match the word to its definition.

the stuff that gets dissolved in a solution -✅solute

the stuff that does the dissolving in a solution -✅solvent

this determines the amplitude of a wave - ✅energy

the change in frequency of a wave as the object that is producing it moves towards or away from you -✅Doppler Effect

The material that a wave moves through-✅medium

Wave whose matter vibrates perpendicular to the direction the wave travels -✅ transverse

An atom of an element that has a specific number or neutrons, such as Carbon-14. -✅isotope


8.Check all true statements about the dog as it runs the obstacle course.

✅If the dog has the highest average speed, he will win the race.

✅A heavier dog will have a harder time changing direction on the course because it has more inertia than the small dog.

✅As the dog turns, his velocity changes as he changes direction.

( I got a 2.4 out of 4 on this questions, the other options were)

Whenever the dog speeds up, slows down, or changes direction, he is accelerating.

The dog's speed is constant throughout the race.

The weight of the dog will be the same if the competition was held on the moon.

If the doe can double his net force on an obstacle, his acceleration will be cut in half.

The mass of the dog will be the same if you take him to the international space station.

the wrong answer was❌The dog's velocity is constant throughout the race. because the speed and direction changed throughout, the velocity is not constant.

9.Match each atom with the correct element it represents. Make sure you are using your periodic table (Links to an external site.)
✅ Beryllium
✅ Lithium
✅ Helium
✅ Carbon
(image below is for question 9)

Answers

Explanation:

ndndndndnndndndndndndndnndndnd

Answer:

teysyshnk

Explanation:

A baseball with mass of 0.145 kg is thrown straight down at the ground. At a particular speed, it has a drag force of 0.4 N acting on it. What is its acceleration at that time?

Answer Choices:
−2.8 m/s2
−9.8 m/s2
−12.6 m/s2
−7.0 m/s2

Answers

Answer:

It is -7.0 m/s2

Explanation:

Just did it

A baseball of mass 0.145 kg is thrown with the force of 0.4 N then the acceleration of the baseball will be equal to 2.8 m/s².

What is acceleration?

The rate of change in an object's velocity concerning time is known as acceleration in mechanics. The vector quantity of accelerations. The direction of the net force that is acting on an object determines its acceleration.

Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well. The definition of acceleration is the change in velocity vector over a time interval divided by the time interval.

As per the instructions given in the question,

Force, f = 0.4 N

Mass, m = 0.145 kg

F = ma

a = f/m

a = 0.4/0.145

a = 2.8 m/s².

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How many feet up high should I be required to wear a harness?

Answers

Answer:

About 6 feet or higher is recommended.  

Explanation

what is an example of friction on an object in motion?

Answers

A ball rolling on a carpet!

Answer:

Friction drag force causes objects to slow down as they move through a fluid, such as air or water. ... As an object's speed increases, the drag force from the fluid increases exponentially. • For example, when you drive at high speeds, the frictional force of air on the car increases, and fuel economy decreases.

Help Me With This Question Please.

Thank you UwU​

Answers

8Ω, 9Ω, xΩ are in series

[tex] \therefore \: R _{1} = 8 + 9 + x = (17 + x)Ω[/tex]

3Ω and 5Ω are in series

[tex] \therefore \: R _{2} = 3+ 5 = 8Ω[/tex]

Now equivalent resistance of R1 and R2 which are parallel in R3 = 6Ω

[See The Attachment]

[tex] \therefore \frac{1}{R _{3}} = \frac{1}{R _{1}} + \frac{1}{R _{2}} \\ \\ \therefore \: \frac{1}{6} = \frac{1}{(17 + x)} + \frac{1}{8} \\ \\ = \frac{1}{17 + x} = \frac{1}{6} - \frac{1}{8} = \frac{1}{24} \\ \\ \therefore17 + x = 24 \\ x = 24 - 17 = 7 \\ x = 7Ω[/tex]

Hope This Helps!!

The value of the resistance X is 7 ohms.

Equivalent resistance in series

The equivalent resistance in series is calculated as follows;

R₁ = 8 + 9 + x = 17 + x

R₂ = 3 + 5 = 8

Equivalent resistance in the circuit

The equivalent resistance in the circuit is calculated as follows;

[tex]\frac{1}{R} = \frac{1}{R_1}+ \frac{1}{R_2} \\\\R = \frac{R_1 R_2}{R_1 + R_2} \\\\[/tex]

[tex]R(R_1 + R_2 ) = R_1 R_2[/tex]

6(17 + x + 8) = 8(17 + x)

150 + 6x = 136 + 8x

14 = 2x

x = 7

Thus, the value of the resistance X is 7 ohms.

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A 288-gram cart starts from rest and rolls down an inclined plane from a height of 1.226 m. Determine its speed (in m/s) at a height of 0.126 m above the bottom of the incline. Assume friction is negligible

Answers

The law of conservation energy

PE₁ + KE₁ = PE₂ + KE₂

From rest ⇒ v₁ = 0 ⇒ KE₁ = 0

Input the value:

PE₁ = PE₂ + KE₂

[tex]\tt mgh_1=mgh_2+\dfrac{1}{2}mv_2^2\rightarrow divide\:m\\\\gh_1=gh_2+\dfrac{1}{2}v_2^2\\\\9.8(1.226-0.126)=\dfrac{1}{2}v_2^2\\\\v_2=4.64\:m/s[/tex]

Another elephant pushes with 3500 N on a load of trees. It then pushes these trees for 225 m. How much work did he elephant do?

Answers

Answer:

787, 500 N/m

Explanation:

Work = Force • displacement

[tex]Work = (3500 N)(225 m) = 787500\frac{N}{m}[/tex]

[tex]W = (3500 N)(225 m) = 787500\frac{N}{m}[/tex]

A pump lifts water into an overhead tank at a height of 12m at a rate of 5kg/s,what is the power in the pump?



Answers

Answer:

600 watts

Explanation:

A cannonball is shot (from ground level) with an initial horizontal velocity of 20 m/s and an initial vertical velocity of 30 m/s. What's the maximum height reached by the cannonball

Answers

Answer:

maximum height =  46m

Explanation:

Vx = 20m/s

Vy = 30 m/s

gravity = 9.8 m/s/s

final velocity = initial velocity - gravity • time

0 = 30m/s - 9.8m/s/s • time

subtract 30m/s from both sides

-30m/s = - 9.8m/s/s • time

divide both sides by -9.8m/s/s

3.06 s = time

height =  initial velocity • time - 1/2 • gravity • time^2

height = 30m/s • 3.06s - 1/2 • 9.8m/s/s • 3.06s ^2

height = 46m

the maximum height is equal to 46m

how do i explain why two balls have the same velocity if they are rolling down the same slope but they started in different positions?

Answers

Answer:

When two balls are equally weighted, no matter where they are placed on a ramp, they will travel at the same speed. One will just reach the ground quicker.

Explanation:

Electric wires in between the poles are seen stretched in winter. Give Reason? ​

Answers

Electric wires/cables expand when temperature rises l

A granite block is at rest on a horizontal surface in a vacuum chamber. The granite block is 3 cm tall, and the length and width are both 20 cm. The density of granite is 2.75 g/cm^3. What pressure does the block exert on the surface?

Answers

Answer:

M = V ρ = .03 * .2*2 cm^3 * 2.75 g / cm^3 = .0033 kg     weight

W = m g = .0033 kg * 9.80 m / s^2 = .032 N

P = F / A = W / A = .032 N / .2^2 m^2 = .80 N/m^2 = .80 Pascal

Identify the region of the electromagnetic spectrum where the wavelength measurement of 7.5 nm can be found.

Answers

We have that the  electromagnetic spectrum where the wavelength measurement is 7.5 nm is the X-ray

X-ray

Option D

Question Parameters:

the wavelength measurement of 7.5 nm can be found

Generally, gamma rays has its wavelength around 10pm.

The microwaves has its wavelength around 1cm.

The ultraviolet has its wavelength around the 400nm.

The range of the X-rays is between to 5nm to 10nm.

Hence,the electromagnetic spectrum where the wavelength measurement is 7.5 nm is the X-ray

X-ray

Option D

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CQ

Identify the region of the electromagnetic spectrum where the wavelength measurement of 7.5 nm can be found.

A) Gamma rays

B) Microwaves

C) Ultraviolet

D) X-rays

E) Visible light

24. An elevator is moving vertically up with an acceleration a. The force exerted on the floor by a passenger of mass m is
(a) mg (b) ma (c) mg - ma (e) none of these (d) mg + ma​

Answers

Given :-

An elevator is moving vertically up with an acceleration a.

To Find :-

The force exerted on the floor by a passenger of mass m .

Solution :-

As the man is in a accelerated frame that is non inertial frame , we would have to think of a pseudo force .

The direction of this force is opposite to the direction of acceleration the frame and its magnitude is equal to the product of mass of the concerned body with the acceleration of the frame .

For the FBD refer to the attachment . From that ,

[tex] \implies Weight_{apparent}= mg + ma [/tex]

Hence option d is correct choice .

I hope this helps .

A 5 kg block is placed near the top of a frictionless ramp, which makes an angle of 30o degrees to the horizontal. A distance d = 1.3 m away from the block is an unstretched spring with k = 3 × 103 N/m. The block slides down the ramp and compresses the spring.

Required:
Find the maximum compression of the spring.

Answers

The maximum compression of the spring is 0.146 m.

Work Energy theorem

The work done by the block when it slides down the ramp will be converted to elastic potential energy of the spring.

W = U

Fd = U

where;

F is the horizontal component of the block weight

mgsin(θ) x d = ¹/₂kA²

[tex]A^2 = \frac{2mg sin(\theta)d}{k} \\\\A = \sqrt{\frac{2mg sin(\theta)d}{k}} \\\\A = \sqrt{\frac{2(5 \times 9.8) sin(30)\times 1.3}{3\times 10^3}}\\\\A = 0.146 \ m[/tex]

Thus, the maximum compression of the spring is 0.146 m.

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Х
In which layer of
the soil do we
usually find
loam? to. Topsoil
b. Parent Soil c.
Bedrock d.
ground-soil

Answers

Answer:

A. topsoil the answer

Explanation:

I think its a correct answer

Ben and Dan both weigh 600 N. They are doing pull-ups together. Each pull-up is 0.5 meters of distance. How much work do they each do for every pull-up? 300 J 600 J 1200 J 1500 J

Answers

Answer:

300 J

Explanation:

Work = (Force)*(distance) = 600 N ∗ 0.5 m = 300 J


Activity A:
Surviving a crash
Get the Gizmo ready
• Click Reset (?).
. On the DESIGN tab, check that Sedan is selected
Introduction: Modern vehicles contain features designed to keep passengers safe in a crash.
The crumple zone in the front of the car slows the car gradually and increases stopping time.
The safety cell is a rigid cage that prevents passengers from being crushed. Inside, seat belts
and airbags prevent the driver from hitting the windshield, steering wheel, or dashboard.
Question: How does a crumple zone help protect a passenger?
1
Make a hypothesis: On the DESIGN tab, look at the parameters you can control. What
settings do you think will make the safest car? Set up the Gizmo, and then fill in below.
Crumple zone length:
Crumple zone rigidity:
Safety cell rigidity:
Seat belt present?
If present, seat belt stiffness:
Air bag present?
If present, air bag rigidity:

Answers

The crumple zone help protect a passenger from injury by converting some of the kinetic energy possessed by the car into a controlled deformation, or crumpling when there is a crash.

What is impact?

The term impact refers to a large force that acts for a short time. Passengers in a vehicles sustain injuries after an accident due to the high impact of the crash.

As such, the crumple zone help protect a passenger from injury by converting some of the kinetic energy possessed by the car into a controlled deformation, or crumpling when there is a crash.

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