A penny dropped into a wishing well reaches the bottom in 2.50 seconds. What was the velocity at impact?

Answer:

6.7

Explanation:

Answer:

abhi ham logo KO madam ne Padaya nahi hai

Answer:

a.) 10Hz

b.) 0.1 s

c.) 187.4 m/s

d.) -412.6 m/s^2

Explanation:

Given that an object is moving back and forth on the x-axis according to the equation x(t) = 3sin(20πt), t> 0, where x(t) is measured in cm and t in seconds. Give decimal answers below.

(a) How many complete back-and-forth motions (from the origin to the right, back to the origin, to the left and finally back to the origin) does the object make in one second?

from the equation given,  the angular speed w = 20π

but w = 2πf

where f = frequency.

substitute w for 20π

20π = 2πf

f = 20π/2π

f = 10 Hz

(b) What is t the first time that the object is at its farthest right?

since F = 1/T

T = 1 / f

T = 1/10

T = 0.1 s

Therefore, the t of  first time that the object is at its farthest right is 0.1 s

(c) At the time found in part (b), what is the object's velocity?

The velocity can be found by differentiating the equation;

x(t) = 3sin(20πt)

dx/dt = 60πcos(20πt)

where dx/dt  = velocity V

V = 60πcos(20π * 0.1)

V = 187.4 m/s

(d) At the time found in part (b), what is the object's acceleration?

to get the acceleration, differentiate equation  V = 60πcos(20πt)

dv/dt = -1200πSin(20πt)

dv/dt = acceleration a

a = -1200πSin(20πt)

substitute t into the equation

a = -1200πSin(20π * 0.1)

a = - 412.6 m/s^2

The type of motion the object undergoes that consist of a back-and-forth

movement that is repetitive is a simple harmonic motion.

The correct responses are;

Reasons:

The equation that represents the motion of the object is x(t) = 3·sin(20·π·t)

Where;

t ≥ 0

x(t) is in cm, and t is in seconds.

(a) The general sine function is y = A·sin(B·(t - C) + D

[tex]\mathrm{The \ period \ P} = \dfrac{2 \cdot \pi}{B}[/tex]

By comparison, we have;

B = 20·π

Therefore;

[tex]P = \dfrac{2 \cdot \pi}{20 \cdot \pi} = \dfrac{1}{10} = 0.1[/tex]

The period, which is the time to complete one cycle = 0.1 seconds

The number of cycle completed per second, is the frequency, f

[tex]f = \dfrac{1}{P} = \dfrac{1}{0.1} = 10[/tex]

f = 10 Hz = 10 cycles

The number of cycle completed per second is f = 10 cycles

(b) When the object is at the farthest right, we have;

sin(20·π·t) = Maximum = 1

[tex]\mathbf{sin\left(\dfrac{\pi}{2}\right)} = 1[/tex]

Therefore,

[tex]20 \cdot \pi \cdot t = \dfrac{\pi}{2}[/tex]

[tex]t = \dfrac{\pi}{20 \cdot \pi \cdot 2} = \dfrac{1}{40} = 0.025[/tex]

The first time it is at the farthest right is t = 0.025 seconds after start

(c) [tex]\mathrm{Velocity, \ v, \ is \ given \ by \ v = \dfrac{dx(t)}{dt}}[/tex]

Therefore;

[tex]v = \dfrac{dx(t)}{dt} = \dfrac{dx(t)}{dt} \left(3 \cdot sin \left(20 \cdot \pi \cdot t \right) = 60\cdot \pi \cdot cos \left(20 \cdot \pi \cdot t \right)[/tex]

At t = 0.25 seconds, we have;

[tex]v = \dfrac{dx(t)}{dt} = 60\cdot \pi \cdot cos \left(20 \times \pi \times 0.025 \right) = 0[/tex]

The velocity of the object at the t = 0.025 seconds is v(t) = 0

(d) Acceleration, a, is given by [tex]a = \dfrac{dv(t)}{dt}[/tex]

Therefore;

[tex]a = \dfrac{dv(t)}{dt} = \dfrac{d}{dt} \left( 60\cdot \pi \cdot cos \left(20 \times \pi \times t\right) \right) =-1200 \cdot \pi ^2 \cdot sin(20 \cdot t \cdot \pi)[/tex]

a = -1200·π²·sin(20·t·π)

∴ a = -1200×π²×sin(20×0.025×π)

sin(20×0.025×π) = 1

∴ a = -1200×π²×1 ≈ -11843.53

At the time found in part b the acceleration of the object, a ≈ -11843.53 m/s²

Learn more here:

https://brainly.com/question/21731826

Answer:

Newton's first law of motion describes inertia. According to this law, a body at rest tends to stay at rest, and a body in motion tends to stay in motion, unless acted on by a net external force.

If the net force on an object is zero, then the motion of the object does not change.

According to Newton's first law, a body will stay at rest or continue to move in a straight line at a constant speed if it is at rest or moving in that direction without being subjected to external forces. In truth, moving uniformly in a straight line and remaining at rest have very little in common, according to classical Newtonian mechanics; they can both be thought of as the same state of motion as seen by different observers, one of whom moves at the same speed as the particle and the other who moves at constant speed in relation to the particle. The law of inertia is a name for this premise.

Newton's first law of motion states that if the net force on an object is then the motion of the object does not change.

To know more about Newton's first law of motion:

https://brainly.com/question/974124

#SPJ6

Answer:

660 centimeters

Explanation:

There are 100 cm in 1 m. To convert from m to cm, multiply by 100.

[tex]6.6 \times 100 = 660[/tex]

There are 660 cm in 1 m.

Answer:

a balanced force is when two forces equal each other out and therefor the object is not in motion.

Explanation:

Answer:

x-rays, Infrared rays, microwaves.

Answer:

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]a = \frac{f}{m} \\ [/tex]

f is the force

m is the mass

From the question we have

[tex]a = \frac{35000}{1500} = \frac{350}{15} = \frac{70}{3} \\ = 23.33333...[/tex]

We have the final answer as

Hope this helps you

Answer:

Explanation:

average speed = distance/Time

Given

speed = 7m/s

distance = 800m

Required

Time taken by the runner to complete the race

From the formula:

Time = Distance/speed

Time = 800/7

Time = 114.29seconds

Hence it took the runner 114.29s to complete the race

Answer:

The Lunar month is the time period for the moon to complete ONE revolution around Earth. SIDEREAL MONTH: 27.3 days SYNODIC MONTH: 29.5 days

Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

From the question

mass = 35 kg

acceleration = 20 m/s²

We have

force = 35 × 20

We have the final answer as

Hope this helps you

Answer:

6

Explanation:

because the numbers before the decimal point are whole numbers so that would mean the 4 & 0 before the points the ones and tens place. and anything behind a decimal goes in order as usual ones,tens,hundredths, thousandths, ten thousandths, and so on. so that what makes the 6 be in the hundredths place.

Answer:

this is very true

Explanation:

I I should know I'm a tea fanatic

Answer:

the answer is 5 electrons

Explanation:

because its the same name as the amount of protons

Answer: Measurement is the assignment of a number to a characteristic of an object or event, which can be compared with other objects or events. The scope and application of measurement are dependent on the context and discipline. In the natural sciences and engineering, measurements do not apply to nominal properties of objects or events, which is consistent with the guidelines of the International vocabulary of metrology published by the International Bureau of Weights and Measures. However, in other fields such as statistics as well as the social and behavioural sciences, measurements can have multiple levels, which would include nominal, ordinal, interval and ratio scales.

Explanation:

Answer:

The correct option is;

C. 40 N

Explanation:

Given that the rock is on the ground, we have;

The weight of the rock, [tex]F_W[/tex] = 40 N ↓

From Newton's third law of motion, we have that action and reaction are equal and opposite,

Therefore, given that the weight of the rock exerts a force of 40 N on the ground, and the rock is stable and stationery on the ground, then the ground is reacting to the weight of the rock with an equal force of 40 N, acting in opposite direction to the weight of the block to balance the weight of the rock and create equilibrium such that the net force acting on the rock is zero

∑F = [tex]F_W + F_R[/tex] = 0

Where;

[tex]F_R[/tex] = The reaction of the ground

We have;

[tex]F_W[/tex] + [tex]F_R[/tex]= 40 + [tex]F_R[/tex]  = 0

[tex]F_R[/tex] = 0 - 40 = -40

[tex]F_R[/tex] = -40 N ↓

∴ [tex]F_R[/tex] = 40 N ↑.

Answer:

C, 40N

Explanation:

Answer:

Solar panels have increased in efficiency over the past 20 years.

Alternative energy sources are one method for meeting energy needs.

Amore aerodynamic automobile uses less fuel.

Explanation:

Innovation is defined as the introduction or development of something new.  Innovation is an idea that is transformed into reality using technology and knowledge.

Statements that represent innovation are:

Hence, the correct options are: "A, C, and D".

Answer:

-3.5m/s²

Explanation:

Given

Initial Velocity, u = 30m/s

Final Velocity, v = 23m/s

Time, t = 2.0s

Required

Determine the magnitude of acceleration

This is calculated using first equation of motion.

v = u + at

Substitute values for v, u and t

23 = 30 + a * 2.0

23 = 30 + 2.0a

23 - 30 = 2.0a

-7 =2.0a

Solve for a

a = -7 ÷ 2.0

a = -3.5m/s²

Answer: The answer is D.

Explanation: Momentum can be defined as mass in motion. All objects have mass so if an object is moving, then it has momentum it has its mass in motion. Momentum depends upon the variables mass and velocity. In terms of an equation, the momentum of an object is equal to the mass of the object times the velocity of the object.

Answer:

Vaporization occurs when a substance changes from a liquid to a gas. The molecules in a liquid are in constant motion while staying relatively close together due to intermolecular forces. When an increase in temperature occurs, the molecules' kinetic energy also increases. If a liquid is heated the particles are given more energy and move faster and faster expanding the liquid. The most energetic particles at the surface escape from the surface of the liquid as a vapor as it gets warmer. Liquids evaporate faster as they heat up and more particles have enough energy to break away.

Mark Me Brainliest If u Found it helpful

Answer:

It is 15000 Kgs.

Answer:

Distance the boat would travel going upstream = 160 km

Explanation:

First, the time of travel of the boat downstream is calculated.

Time of travel = distance/speed

distance = 240 km;

speed of travel = 40 + 8 = 48 km/h ( since the boat is going downstream)

Time = 240/48 = 5 hours

Therefore, the boat travels for 5 hours.

The distance the boat will travel in 5 hours going upstream is then calculated

distance = speed * time

speed of boat  going upstream = 40 - 8 = 32 km/h

Distance = 32 km/h * 5 hours = 160 km

Answer:

A

Explanation:

Velocity is when something fast moves

I hope i helped

The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal best describes Zach’s error.

A device that uses stimulated emission of photons from excited atoms or molecules to produce a strong beam of coherent monochromatic light is a laser.

When electrons in optical materials like glass, crystal, or gas absorb energy from an electrical current or light, a laser is formed.

The increased energy excites the electrons, causing them to migrate from a lower-energy orbit around the nucleus to a higher-energy orbit.

The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal. This statement is incorrect.

Hence Option A best describes Zach’s error.

To learn more about the laser refer to the Link ;

https://brainly.com/question/14783882

Answer:

D. Light escapes through the partially reflective mirror, not the highly reflective mirror.

Explanation:

edge 2022, I took the test.

Answer:

A. 50 km south

Explanation:

hope this helps!

To make this problem solvable and you can get the help you need, I'll complete and arrange some data.

Answer:

Acceleration: [tex]0.0417\ m/s^2[/tex], Distance=7,500 m

Explanation:

Uniform Acceleration Motion

It's a type of motion in which the velocity of an object changes uniformly over time.

Being a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:

[tex]v_f=v_o+at\qquad\qquad [1][/tex]

The distance traveled by the object is given by:

[tex]\displaystyle x=v_o.t+\frac{a.t^2}{2}\qquad\qquad [2][/tex]

Using the equation [1] we can solve for a:

[tex]\displaystyle a=\frac{v_f-v_o}{t}\qquad\qquad [3][/tex]

The problem will be rewritten as follows:

A train starting from rest reaches a velocity of 90 km/h in 10 minutes. Assuming that the acceleration is uniform, find the acceleration and the distance traveled by the train for attending the velocity​.

Let's take the relevant data:

vo=0

vf=90 Km/h*1000/3600 = 25 m/s

t = 10 minutes = 10*60 = 600  seconds

Now compute the acceleration by using [3]:

[tex]\displaystyle a=\frac{25-0}{600}=0.0417[/tex]

[tex]a=0.0417\ m/s^2[/tex]

Finally, compute the distance:

[tex]\displaystyle x=0*600+\frac{0.0417\cdot 600^2}{2}[/tex]

[tex]x=7,500\ m[/tex]

Note: We used the value of the acceleration with more precision than shown.

Acceleration: [tex]\mathbf{0.0417\ m/s^2}[/tex], Distance=7,500 m