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GREYUIT [131]
2 years ago
15

The energy transfer diagram represents the energy of a person diving into a pool. A wide arrow labeled gravitational potential e

nergy 8000 J with a small arrow turning away from it labeled thermal energy ? J. The rest of the arrow goes forward labeled kinetic energy 7000 J. How much thermal energy is generated? 1000 J 2000 J 7000 J 15,000 J
Mathematics
2 answers:
Citrus2011 [14]2 years ago
3 0

Answer:

The amount of thermal energy that is generated is 1000 joules.

Step-by-step explanation:

Let consider the person diving into a pool as a closed system, that is, a system with only energy interaction with the surroundings. According to the First Law of Thermodynamics, which is a generalization of the Principle of Energy Conservation, the total energy of the system is neither destroyed, nor created, only transformed. The initial gravitational potential energy is transformed into translational kinetic and thermal energy. That is to say:

U_{g} - K - Q = 0

Where:

U_{g} - Gravitational potential energy, measured in joules.

K_{tr} - Translational kinetic energy, measured in joules.

Q - Thermal energy, measured in joules.

The thermal energy is now cleared:

Q = U_{g}-K

Given that U_{g} = 8000\,J and K = 7000\,J, the amount of thermal energy that is generated is:

Q = 8000\,J - 7000\,J

Q = 1000\,J

The amount of thermal energy that is generated is 1000 joules.

Olenka [21]2 years ago
3 0

Answer:

A: 1000 J

Step-by-step explanation:

on edge

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One way to measure whether the trees in the Wade Tract are uniformly distributed is to examine the average location in the north
tatyana61 [14]

Answer:

Null hypothesis be H₀ : μ = 100

Alternative hypothesis Hₐ : μ < 100

There is sufficient statistical evidence to suggest that the average location of Wade Tract is 100

Step-by-step explanation:

Here we have;

Let our null hypothesis be H₀ : μ = 100 Average location of trees in the Wade Tract is 100

Our alternative hypothesis becomes Hₐ : μ < 100 at 95% confidence level

Proposed average location in Wade Tract, μ = 100

Sample mean, \bar x = 99.74

Standard deviation, s = 58

Sample size, n = 584

The t test formula is therefore;

t=\frac{\bar{x}-\mu }{\frac{s }{\sqrt{n}}}

Therefore, with df = 584 -1 = 583, and α = (1 - 0.95)/2 = 0.025

We have t_{\alpha /2} = -1.65

Plugging in the values into the t test formula, we have t = -0.108338, from which the p-value is given as p = 0.4569 which is much more than the value of α, therefore, we accept the null hypothesis as follows;

There is sufficient statistical evidence to suggest that the average location of Wade Tract = 100.

7 0
2 years ago
A taxi cab charges $0.55 per mile in addition to a $1.75 flat rate fee. Susie has $10 to spend on a taxi cab ride. The taxi driv
Olenka [21]
The taxi driver doesn't give anyone a ride unless it's 2 miles away, as such you need to add at least $0.55x2 in addition to the $1.75 at the start
1.75+(0.55x2)=2.85
As Susie only has 10 dollars to spend, she can't exceed that. So Susie must spend more than $2.85(minimum from the taxi) and less than $10(her money)
so,
$2.85<Susie<$10
6 0
2 years ago
A dealer has a lot that can hold 30 vehicles. In this lot, there are two available models, A and B. The dealer normally sells at
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The answer is a 20 model  A,  10 model B
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Which point is a solution to the linear inequality y &lt; Negative one-halfx + 2? (2, 3) (2, 1) (3, –2) (–1, 3)
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Which point is a solution to the linear inequality y < Negative one-halfx + 2?

(–1, 3)

(3, –2)

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7:15-7:20 is 5 minutes
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If it was at point 100 it would now be at point 100+55=155
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Hope this is correct and helps :)
3 0
2 years ago
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