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Iteru [2.4K]
2 years ago
15

a body dropped from a height reaches a velocity of 13m/s just before touching the ground. What is the initial height of the ball

and the time of height​
Physics
1 answer:
SashulF [63]2 years ago
5 0

Hi there!

We can use the following (derived) equation to solve for the final velocity given height:

vf = √2gh

We can rearrange to solve for height:

vf² = 2gh

vf²/2g = h

Plug in the given values (g = 9.81 m/s²)

(13)²/2(9.81) = 8.614 m

We can calculate time using the equation:

vf = vi + at, where:

vi = initial velocity (since dropped from rest, = 0 m/s)

a = acceleration (in this instance, due to gravity)

Plug in values:

13 = at

13/a = t

13/9.81 = 1.325 sec

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heat engine operating between 100 °C and 700 °C has an efficiency equal to 40% of the maximum theoretical efficiency. How much e
ipn [44]

Answer:

Explanation:

Theoretical efficiency = T₁ - T₂ / T₁ where T₁ and T₂ is absolute temperature of hot and cold end of the heat engine.

= 600 / (273 + 700 )

= 600 / 973

= .6166

operating efficiency = 40% of .6166

= .4 x .6166

= .2466 = 24.66 %

efficiency = work output / heat input

= 5000 / heat input = .2466

heat input = 5000 / .2466

= 20275.75 J .

HEAT EXTRACED = 20275.75 J.

3 0
3 years ago
A dog walks 24 steps north and then walks 55 steps west to bury a bone. If the dog walks back to the starting point in a straigh
Lina20 [59]

Answer:

The dog should walk 60 steps to the southeast to return to its starting point.

Explanation:

To solve the present mathematical problem, we must use the Pythagorean theorem. This establishes that in right triangles the sum of their squared legs is equal to the hypotenuse squared, that is:

A ^ 2 + B ^ 2 = X ^ 2

Thus, in the case, the calculation would be the following:

24 ^ 2 + 55 ^ 2 = X ^ 2

576 + 3,025 = X ^ 2

√3,601 = X

60 = X

Therefore, the dog should walk 60 steps to the southeast to return to its starting point.

5 0
3 years ago
A recipe for a casserole calls for 1 cup of milk. If a chef currently has 0.5 gallons of milk, how many casseroles can the chef
Yakvenalex [24]

Answer:

<em>The chef can make 8 casseroles</em>

Explanation:

<u>Units Conversion</u>

We need to recall 1 gallon = 16 US cups.

A casserole needs 1 cup of milk, and the chef has 0.5 gallons of milk. Those 0.5 gallons are equivalent to 0.5*16 = 8 cups, thus the chef can make 8 casseroles.

4 0
3 years ago
An astronaut is on a new planet. She discovers that is she drops a space rock from 12m above the groundnut has a final velocity
RUDIKE [14]

Answer:

-0.375 m/s2

Explanation:

To find the acceleration due to gravity in this planet, we can use the Torricelli formula of UALM (uniformly accelerated linear motion):

V^2 = Vo^2 + 2*a*S

Where V is the final velocity, Vo is the inicial velocity, a is the acceleration and S is the total displacement.

With V = 3, Vo = 0 and S = -12, we have:

3^2 = 0^2 - 2*a*12

24a = -9

a = -9/24 = -0.375 m/s2

7 0
3 years ago
Which is an example of making a quantitative observation?
malfutka [58]
An example of a quantitative observation is measuring the surface of an oil painting and finding its dimensions to be 12 inches by 12 inches. A quantitative observation occurs when a researcher takes a measurement that is recorded in an objective number of units.

3 0
3 years ago
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