PHYSICS HIGH SCHOOL

A ball of moist clay falls 15.0 m to the ground. It is in contact with the ground for 20.0 ms before stopping. (a) What is the magnitude of the average acceleration of the ball during the time it is in contact with the ground?

Answers

Answer 1

Answer:

Answer:

a= -0.86 m/s²

The negative sign shows that ball down the ground or moving down

Explanation:

Vf² - Vo² = 2gS

where

Vf = velocity of clay as it hits the ground

Vo = initial velocity of clay = 0

g = acceleration due to gravity = 9.8 m/sec^2 (constant)

S = distance travelled by clay = 15 m

Substituting appropriate values,

Vf² - 0 = 2(9.8)(15)

Vf = 17.15 m/sec.

Formula to use is,

V - Vf = aT

where

V = velocity of clay when it stops = 0

Vf = 17.15 m/sec (as determined above)

a = acceleration

T = 20 ms

Put the values to find acceleration

a=(V-Vf)/T

a=(0-17.15)/20

a= -0.86 m/s²

The negative sign shows that ball down the ground

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stone thrown vertically upward with speed of 15.5m/s from edge of cliff 75.0m high. how much later does it reach bottom of cliff?

Answers

Answer:

Approximately $5.66\; {\rm s}$ , assuming that $g = 9.81\; {\rm m\cdot s^(-2)}$ and that air resistance is negligible.

Explanation:

Let upward be the positive direction. Under the assumptions, acceleration of the stone would be $a = (-g) = (-9.81)\; {\rm m\cdot s^(-2)}$ (negative since the stone is accelerating downward.)

The duration of the flight can be found in the following steps:

Find velocity right before landing given displacement, initial velocity, and acceleration.
Find duration of the flight from acceleration and the change in velocity.

In SUVAT equation $v^(2) - u^(2) = 2\, a\, x$ :

$v$ is the final velocity right before landing (needs to be found,)
$u = 15.5\; {\rm m\cdot s^(-1)}$ is the initial velocity,
$a = (-9.81)\; {\rm m\cdot s^(-2)}$ is acceleration, and
$x = (-75.0)\; {\rm m}$ is displacement (downward because the stone landed below where it was launched.)

Rearrange this equation to find $v$ :

$\begin{aligned}v &= \sqrt{u^(2) + 2\, a\, x} \n &= \sqrt{(15.5)^(2) + 2\, (-9.81)\, (-75.0)} \; {\rm m\cdot s^(-1)} \n &\approx -40.05\; {\rm m\cdot s^(-1)}\end{aligned}$ .

In other words, the velocity of this stone has changed from the initial value of $u = (15.5)\; {\rm m\cdot s^(-1)}$ to $v \approx (-40.05)\; {\rm m\cdot s^(-1)}$ during the flight. Divide the change in velocity by acceleration $a = (-9.81)\; {\rm m\cdot s^(-2)}$ (the rate of change in velocity) to find the duration of the flight:

$\begin{aligned}t &= (v - u)/(a) \n &\approx ((-40.05) - (15.5))/((-9.81))\; {\rm s} \n &\approx 5.66\; {\rm s}\end{aligned}$ .

In other words, the stone would be in the air for approximately $5.66\; {\rm s}$ .

(a) What is the magnitude of the tangential acceleration of a bug on the rim of a 12.5-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 75.0 rev/min in 3.80 s

Answers

Answer:

Explanation:

Given:

d=12.5in=0.3175m

r=d/2=0.3175/2=0.15875m

ωf=75rev/min=7.85rad/s

t=3.80s

The angular acceleration

$\alpha = (\omega _f - \omega _i)/(t)=(7.85-0)/(3.80)=2.07rad/s^2$

Tangential acceleration

$\alpha =r\alpha =0.15875* 2.07=0.33m/s^2$

What is the purpose of the Climate Friendly Farming Project?

Answers

The Climate Friendly Farming Project was designed to provide funding for long term research into the sustainability and adaptability of agricultural systems(wheat, vegetables, and dairy systems) as increasing greenhouse gases propagate and decline the efficiency of current agricultural practice.

Answer:

The purpose of the Climate Friendly Farming Project is to create a database of climate friendly agricultural practices

Explanation:

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Answers

Efficiency of a machine is defined as the ratio of work performed on it to work performed by it.

What is the fundamental meaning of efficiency?

Efficiency is the capacity to achieve something or get a desired outcome without wasting resources, time, money, energy, or effort. In a broader sense, it is the capacity to carry out tasks effectively and efficiently.
Effectiveness and efficiency are frequently misunderstood. Efficiency is often a quantifiablenotion that is based on the ratio of total useful input to total useful output.
When a machine uses the majority of the power provided to it for its load and just a small portion for waste, it is said to be highly efficient.

Efficiency = Output energy/ Input energy

The percentage value of efficiency of a machine is calculated as:

Efficiency = (Output energy/ Input energy) X 100%

Learn more about the machine efficiency with the help of the given link:

brainly.com/question/11752408

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Efficiency is usually defined as how much useful work output do you get for each unit of work input.

Efficiency = work output/work input

Work input = effort force * effort distance
Work output = load force * load distance

Una sustancia radioactiva, cuya temperatura es inconstante, aumenta su temperatura en 30ºF, luego disminuye e 40ºC, luego aumenta en 12R y por último disminuye en 10K; entonces la temperatura final de dicha sustancia: a) No varia b) Aumenta en 24R c) Disminuye en 48R d) Aumenta en 48R e) Disminuye en 24R

Answers

Answer:

What the heck

Explanation:

true or falsethe precision of calculated answers is limited by the least precise measurement used in the calculation

Answers

That's true, you can't get any more precise than what's measured to the least precision.

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