The long handle on a rake is a ____

To achieve a speed of 2 m/s, the bottle must be dropped at m. To achieve a speed of 3 m/s, the bottle must be dropped at m. To a

klio [65]

Answer:

$\begin{array}{l|l}\text{Speed}\; \mathrm{(m\cdot s^{-1})} & \text{Minimum Height\;(m)}\\\cline{1-2}\\[-1em] 2 & 0.204\\3&0.459\\4 & 0.815\\5 & 1.27 \\6 & 1.83\end{array}$ .

Assumptions:

The object is dropped in a free fall.
There's no air resistance.
The downward acceleration due to gravity is $\rm 9.81\;m\cdot s^{-2}$

Explanation:

Consider the "SUVAT" equation

$\displaystyle \frac{v^{2} - u^{2}}{2a} = x$ ,

where

$v$ is the final velocity,
$u$ is the initial velocity,
$a$ is the acceleration of the object, and
$x$ is the change in the object's position.

For example, if the bottle needs to achieve a speed of $v = \rm 2\; m\cdot s^{-1}$ by the time it reaches the ground,

$u = 0$ since the statement that the bottle is "dropped" implies a free fall.
$a = g = \rm 9.81\;m\cdot s^{-2}$ .

Apply the previous equation to find the minimum height, $x$ :

$\displaystyle x = \frac{v^{2} - u^{2}}{2a} = \rm \frac{\left(2\; m\cdot s^{-1}\right)^{2}}{2\times 9.81\; m\cdot s^{-2}} \approx 0.204\; m$ .

Replace the $v$ value and apply the formula to find the minimum height required to reach different final speeds.

8 0

4 years ago

Read 2 more answers

Lawson's criterion states that the product of ion density and confinement time must exceed a certain number before a break-even

LekaFEV [45]

According to Lawson's criterion, the outcome is determined by the product of ion density and confinement time because the temperature must be maintained for a sufficient confinement time and with a sufficient ion thickness to obtain a net gain of power from a fusion reaction.

<h3>What are Lawson's criterion?</h3>

The overall conditions that must be met in order to produce more energy than is required for plasma heating are usually expressed in terms of the product of ion density and confinement time, a condition known as Lawson's criterion.

In nuclear fusion devices, confinement time is defined as the amount of time the plasma is kept at a temperature above the critical ignition temperature.

Even at temperatures high enough to overcome the coulomb barrier to nuclear fusion, a critical density of ions must be maintained in order to achieve a net yield of energy from the reaction.

Because the density required for a net energy yield is correlated with the confinement time for hot plasma, the minimum condition for a productive fusion reaction is typically stated in terms of the product of ion density and confinement time, which is known as Lawson's criterion.

To learn more about Lawson's criterion, refer:

brainly.com/question/28303495

#SPJ4

7 0

1 year ago

A fast teaub abd a ski train driving from city a and city b face to face the fast train has a speed of 76km/h, the slow train ha

LekaFEV [45]

The distance between the two cities is 513.24 km.

<h3>Time of motion when the two trains meet</h3>

The time spent on the journey when the two trains meet is calculated as follows;

(Va - Vb)t = d

where;

d is the distance between the trains before meeting

(76 - 65)t = 40

11t = 40

t = 40/11

t = 3.64 hr

<h3>Distance traveled by the fast train</h3>

d1 = 76 km/h x 3.64 h

d1 = 276.64 km

<h3>Distance traveled by the slow train</h3>

d2 = 65 km/h x 3.64 h

d2 = 236.6 km

The distance between the two cities = 276.64 km + 236.6 km

= 513.24 km

Learn more about relative velocity here: brainly.com/question/17228388

7 0

2 years ago

So, what is the answer of this assignment?

Ket [755]

What assignment, you have to work with me here i don't know what were working on

6 0

3 years ago

With what force will a car hit a tree if the car has a mass of 3,000 kg and it is accelerating at a rate of 2m/s2

Arisa [49]

<span>F=ma = 3000x2m/sec^2 =6000 newtons. </span>

6 0

3 years ago

The long handle on a rake is a _____.