Answer:
62.5m
Explanation:
Given parameters:
Mass of the ball = 0.5kg
Initial velocity = 35m/s
At the maximum height final velocity is 0m/s
Unknown:
Height of the rise of the ball = ?
Solution:
To solve this problem, we apply the right motion equation which is shown below;
v² = u² - 2gh
v is the final velocity
u is the initial velocity
g is the acceleration due to gravity
h is the height
Now insert the parameters and solve;
0² = 35² - 2(9.8)(h)
-1225 = -19.6h
h = 62.5m
Which of the following best describes why tidal energy is considered a renewable energy resource? A. The Moon receives energy from the Sun, which is a renewable resource. B. Humans can create more tidal energy by setting up more tidal energy plants. C. Ocean water will never be exhausted. D. Tidal energy is replaced naturally by the Moon's gravity.
Answer:
D. Tidal energy is replaced naturally by the Moon's gravity.
Explanation:
The reason tidal energy is considered a renewable energy resource is that Tidal energy is replaced naturally by the Moon's gravity. The Moon's gravity creates bulges on the side of Earth that is closest and farthest from the Moon. These bulges also pull water causing high tides in those areas. As the Earth rotates these areas experience low tide while the areas that had low tide now experience high tide. This constant shift creates tidal energy every day, which is replenished naturally.
A body was found in the basement of the Underwater Basket Weaving Building at 12:00 noon today, where the temperature is a steady 65 degrees Fahrenheit. When found, the core temperature was 92.7 degrees Fahrenheit. Two hours later, at 2:00 PM, the core temperature had fallen to 88. Assuming that the body temperature was 98.6 at the time of death, use Newton's law of cooling to find the time of death. ROUND TO 2 DECIMAL PLACES. The time of death was about hours before the body was found.
Using Newton's law of cooling, the time of death could have been 2 hours and 7 minutes before the body was found or around 9:53 AM.
According to Newton's Law of Cooling, the change in temperature of a body is proportional to the difference between its own temperature and the temperature of its surroundings. The law is expressed by the formula:
T(t) = T_a + (T_0 - T_a)e^(-kt),
where T(t) is the temperature of the body at time t, T_0 is the initial temperature of the body, T_a is the ambient temperature (in this case, 65 degrees Fahrenheit), and k is a constant of proportionality.
To find the time of death, we need to solve for t in the formula above. We know that at the time of death, the body temperature was 98.6 degrees Fahrenheit, so T_0 = 98.6. We also know that two hours later, the core temperature had fallen to 88 degrees Fahrenheit, so T(2) = 88. Plugging these values into the formula, we get:
88 = 65 + (98.6 - 65)e^(-k*2)
23 = 33.6e^(-2k)
ln(23/33.6) = -2k
0.3257 = k
Now we can solve for t using the formula:
T(t) = 65 + (98.6 - 65)e^(-0.3257t)
We want to find the time when the body temperature was 98.6 degrees Fahrenheit, so we plug that value in for T(t) and solve for t:
98.6 = 65 + (98.6 - 65)e^(-0.3257t)
33.6 = 33.6e^(-0.3257t)
e^(-0.3257t) = 1
t = ln(1)/(-0.3257)
t = 2.12 ≈ 2 hours and 7 minutes
Therefore, the time of death was about 2 hours and 7 minutes before the body was found or at around 9:53 AM.
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1. A gram-negative bacterium moves along a flat surface. What is the maximum displacement of the bacterium during a 1-hour period if the bacterium moves at a constant speed of 25 µm/s?
2. The relationship between the length of a spring and the force required to stretch the spring is shown below. What is the work done when the spring length is increased from 20 cm to 30 cm?
1. The maximum displacement of the gram-negative bacterium during a 1-hour period, moving at a constant speed of 25 µm/s, would be 90 mm.
2. Assuming the Spring constant to be 1. The work done when the spring length is increased from 20 cm to 30 cm, is 0.5 J.
The bacterium's constant speed of 25 µm/s can be converted to mm/s by dividing by 1000, which gives us 0.025 mm/s. To find the maximum displacement, we multiply the speed by the time. In this case, the time is 1 hour, which is equivalent to 3600 seconds. Multiplying 0.025 mm/s by 3600 seconds gives us 90 mm. Therefore, the maximum displacement of the bacterium during a 1-hour period would be 90 mm.
The formula for calculating work done is given by \(W=\frac{1}{2} *k*(x_2^2-x_1^2)\), where W is the work done, k is the spring constant, \(x_2\) is the final length, and \(x_1\) is the initial length of the spring. In this case, the spring constant is 1, \(x_2\) is 30 cm (or 0.3 m), and \(x_1\) is 20 cm (or 0.2 m).
Substituting the values into the formula, we have W = (0.5)(1)(0.09- 0.04). Simplifying the equation, we get W = 0.025 J.
Therefore, the work done when the spring length is increased from 20 cm to 30 cm, with a spring constant of 1, is 0.025 J or 0.5 J when rounded to two decimal places.
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Р
The densities of two metals are 6.3 g/cm³ and 3.7 g/cm³ respectively. The two metals
are of equal mass, and are melted to form an alloy.
What is the new density of the alloy?
A) 4.0 g/cm³ B) 4.7 g/cm³
C) 5.0 g/cm³
D) 10.0 g/cm³
Solution:- let d1 and d2 be their respective densitiesd1= 6.3 gram/cm³ , d2 = 3.7 gram/cm³let us consider taking m mass of both substance as it is given masses are equalLet their volumes be V1 and V2
Now ,
☯︎Density= Total Mass / Total Volume
➪\(density = \dfrac{m + m}{V1 + V2} \)
➪\( \dfrac{2m}{ \frac{m}{d1} + \frac{m}{d2} }\)
\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (Volume=\frac{mass}{density}) \)
➪\( \dfrac{2\cancel{m}}{ \cancel{m}(\frac{1}{d1} + \frac{1}{d2}) }\)
➪\( \dfrac{2}{ \frac{1}{d1} + \frac{1}{d2} }\)
➪\( \dfrac{2.d1.d2}{ d1+d2 }\)
Putting Values -
✰\( \dfrac{2\times 6.3\times 3.7}{ 6.3+3.7 }\)
➪\( \dfrac{46.62}{ 10}\)
➪\( 4.662\)
≈\( 4.7 gram/cm^3\)
a car of mass 1500 kg is moving with the speed of 72 km/ hr (calculated it's kinetic energy)
Answer:
So work require will be 3888×10×10³J
Explanation:
⇒Work done=Change in kinetic energy
⇒KE=1/2mv²
⇒Mass->15000kg
⇒Velocity->72km/h
⇒KE=1/2×15000×(72)²
⇒KE=1/2×15000×5184
⇒KE=7500×5184
⇒KE=3888×10×10³J
One acre is equal to 43560ft².How much is it in m²?
1 ft²= 0.09290304m²
so:
43560ft²= 0.09290304m²×43560
= 4,046.8564224 m²
Answer: 4046.9m² (approx.)
Explanation:
An acre is 43560 ft², but the US has two feet, the International foot, and the (old) Survey foot. Since 1983, the answer varies by state according to which foot the State has adopted for surveying. (Previously, it was always the Survey foot).
International: 43560 ft² x (0.3048 m/ft)² = 4046.856 422 m²
Survey: 43560 ft² x (1200/3937 m)² = 4046.872 610 m²
Both round to 4046.9 m² if that’s good enough, but there is a tiny difference.
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The lowest note on a piano
is 27.5 Hz. If strings with
v = 84,7 m/s are used, how long
should the piano string be?
(Unit = m)
Answer:
My teacher said 36m when I asked her
Explanation:
HOPE THIS HELPS!!
Please answer the question below. No files, No Docs, or any Link. ONLY REAL ANSWER. Whoever, answers this question will get 50 points plus a 5 star rated.
Voting is a fundamental right in our democracy and the attendees at Boys State understand this. How would you describe this responsibility to someone who says they never vote because it doesn’t make any difference?
Answer: i don’t know maybe later i will ask thAT question
Explanation:
A car starting from rest accelerates in a straight line path at a constant rate of 2.5m/s².how far will it travel in 12 seconds
The car will travel a distance of 180 meters in 12 seconds.
To determine the distance traveled by the car, we can use the equation of motion:
Distance (d) = Initial velocity (v₀) × time (t) + 0.5 × acceleration (a) × time squared (t²)
Given:
Initial velocity (v₀) = 0 m/s (starting from rest)
Acceleration (a) = 2.5 m/s²
Time (t) = 12 seconds
Plugging in the values into the equation:
Distance (d) = 0 × 12 + 0.5 × 2.5 × 12²
Distance (d) = 0 + 0.5 × 2.5 × 144
Distance (d) = 0 + 0.5 × 2.5 × 144
Distance (d) = 180 meters
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This means the evidence is valid on its face, or based on the evidence, and the elements :_____
Prima facie means the evidence is valid on its face, or based on the evidence, and the elements.
What is prima facie?Prima facie, a Latin phrase that means "at first glance" or "based on first impression," The feminine versions of primus, which means "first," and facies, which means "face," both in the ablative case, would be translated literally as "at first face" or "at first appearance." "On the face of it" is a typical translation in contemporary, colloquial, and conversational English.
Prima facie refers to the initial appearance of enough supporting evidence to establish a case, and it is used in modern legal English (both in civil law and criminal law). Prima facie evidence is a term used in common law regimes to describe evidence that, absent rebuttal, would be sufficient to establish a certain claim or fact. In academic philosophy, the phrase is used similarly.
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Calculate the power transfer when a pump moves 50kg of water through a vertical height of 8meters in 5seconds (take g =10meters per second)
Hi there!
Recall the following relationships:
\(W = \Delta U = mg\Delta h\\\\P = \frac{W}{t}\)
W = Work (J)
U = Potential Energy (J)
m = mass (kg)
g = acceleration due to gravity (9.8 m/s²)
h = height (m)
t = time (s)
Begin by calculating the work:
\(W = 50(10)(8) = 4000 J\)
Now, divide by the time to solve for power:
\(P = \frac{4000}{5} = \boxed{800W}\)
**W is the unit for power (Watts). Be careful not to get the two confused.
A 0.050 kg toy truck moving right at 0.20 m/s collided with a toy car weighing 0.015 kg initially at rest, on a frictionless track. The truck keeps moving right at 0.15 m/s after the collision,
what is the final speed of the race car?
Answer:
0.1667 m/s
Explanation:
m1V1 + m2V2 = m1V3 + m2V4
0.01 = ( 0.0075) + (0.015 * V4)
V4 = (0.01 - 0.0075) / (0.015)
V4= 0.1667
Answer:
0.167 m/s
Explanation:
Engineers often build a prototype perfectly. It is rare that they have to improve their product.
True or false
Answer:
false
Explanation:
most prototypes are and perfect and they are build to find our mistakes
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A wave has a wavelength of 2 meters and a frequency of 1.5 hz. What is its speed
Answer:
3m/s is the answer.
Explanation:
f = c/λ
f = frequency
c = speed (m/s)
λ = wavelength
f = c/λ
1.5 = c/2
c = 3m/s
What is the chemical energy content of the 100,000 kg of liquid hydrogen that was stored in the space shuttle's external fuel tank? How long could this energy power human civilization at our consumption rate of 16 TW?
Answer:
the time required is 0.886 seconds
Explanation:
The computation is shown below:
As we know that the content of the chemical energy that has a calorific value of hydrogen is 141790 kJ /kg
And, the total energy stores is 100,000 kg
Now
E = 141790 × 100,000 kJ
= 14.179 TJ
The time would be
T = E ÷ P
= 14.179 ÷ 16
= 0.886 sec
hence the time required is 0.886 seconds
helppppppppppppppppppppppp
Explanation:
v²= u² + 2as
v= final velocity.
u= initial velocity.
a= acceleration.
s= distance.
An object is moving to the right at a constant velocity. What will happen if a
force of 20 N starts acting on it in the opposite direction?
А The object's velocity will increase.
B
The object's velocity will decrease.
с
The object will come to a stop.
D
The object will move at the same velocity.
Declining skill or fitness level from taking a break from exercise is formally referred to as (3 points) a. progression b. specificity c. overload d. reversibility
Arlene is to walk across a "high wire" strung horizontally between two buildings 15.0 m apart. The sag in the rope when she is at the midpoint is 10.0 degrees , as shown in the figure. If her mass is 45.0 kg, what is the tension in the rope at this point?
The tension in the rope at the midpoint of the high wire is 76.4 N.
To determine the tension in the rope, we need to use the concept of forces and equilibrium. At the midpoint of the rope, the weight of Arlene acts downwards and the tension in the rope acts upwards.
The first step is to find the weight of Arlene, which is given by the product of her mass and the acceleration due to gravity (g) on the earth's surface, i.e.,
Weight = mass x g = (45.0 kg) x (\(9.81 m/s^2\)) = 441.45 N
Next, we need to resolve this weight force into its components along the rope and perpendicular to the rope.
The component of the weight force along the rope is given by Wsinθ, where θ is the angle of sag, i.e.,
Wsinθ = (441.45 N) x sin(10.0°) = 76.4 N
Therefore, the tension in the rope is equal to the weight force component along the rope, i.e.,
Tension = Wsinθ = 76.4 N
So, the tension in the rope at the midpoint is 76.4 N.
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a ball is traveling at a constant speed of 8.5 m/s in a circle with a radius of 0.8 m. what is the centripetal acceleration of the ball?
A ball is traveling at a constant speed of 8.5 m/s in a circle with a radius of 0.8 m;the centripetal acceleration of the ball is 90.3125 m/s²
To find the centripetal acceleration of a ball traveling at a constant speed of 8.5 m/s in a circle with a radius of 0.8 m, you can use the formula:
Centripetal acceleration (a_c) = (constant speed)² / radius
Step 1: Plug in the given values.
a_c = (8.5 m/s)² / 0.8 m
Step 2: Square the constant speed.
a_c = 72.25 m²/s² / 0.8 m
Step 3: Divide the squared speed by the radius.
a_c = 90.3125 m/s²
So, the centripetal acceleration of the ball is 90.3125 m/s²
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A ball having a mass of 0.20 kilograms is placed at a height of 3.25 meters. If it is dropped from this height, what will be the kinetic energy of the ball when it reaches 1.5 meters above the ground?
A.
1.2 joules
B.
2.2 joules
C.
3.4 joules
D.
3.6 joules
E.
4.3 joules
Answer:
C.
3.4 joules
Explanation:
Answer for Plato and edmentum
1.15 The speed of light in Crown glass is greater than its speed in
so the answer is easy it's air
A fully-loaded Boeing 747 accelerates on the ground at 1.8 m/s2. How much runway does it need, in meters, to achieve a liftoff velocity of 82 m/s?
Answer:
runway length = 1,867.78 meters
Explanation:
This problem can be solved using equation of motion
\(v^2 = u^2 + \ 2as\)
where
v is the final velocity
u is the initial velocity and
s is the distance a body moved to reach speed equal to final velocity .
__________________________________
Given
a = 1.8 m/s2
u is the initial velocity which will be zero as the plane starts on the ground at that point speed is zero
Let S be the distance taken to reach speed 82 m/s at acceleration of 1.8 m/s^2
This , distance will be the length of runway as well.
v = 82 m/s
using the equation of motion
\(v^2 = u^2 + \ 2as\\=> 82^2 = 0^2 + \ 2*1.8*S\\=> 6724 = 0 + 3.6 S\\=> S = 6724/3.6 = 1,867. 78\)
Thus, distance is 1,867.78 meters,
Hence , we can say that runway length should be 1,867.78 meters so that when plane lifts off its speed is 82 m/s.
describe how filtration pressure in a capillary determines which way fluid will flow. (filtration & reabsorption pressure)
Increasing capillary pressure causes edoema, whereas decreasing it encourages the reabsorption of fluid from the interstitial space into the blood. Capillary pressure favours the filtration of fluid into the interstitial space.
When blood is removed from the body in large amounts through the capillaries' apertures, filtering takes place. Reabsorption, on the other hand, happens at the venous end of the capillary when fluid is transferred by bulk flow in the reverse direction, back into the blood.
To distinguish it from capillary colloid osmotic pressure, capillary blood pressure is also sometimes referred to as capillary hydrostatic pressure. Only exposed organs with thin tissues (such a mesentery) that allow for effective transillumination can be used to record PC. With a fine micropipette (tip diameter 5 m) loaded with saline and heparin, one impales the capillary lumen. A manometer, which has a sidearm that connects to a syringe, is connected to the micropipette lumen. Blood starts to slowly ascend the pipette following the impalement. Since pipette pressure is less than PC at this moment, any pressure reading would be understated.
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A chemist performs an experiment in which she compresses an air sample and then measures its pressure. She records her results in the following table:Volume (cm)³100.050.025.0Pressure (kPa)33.3 66.7 133.2 If the chemist continues to compress the air to a volume of 12.5 cm³, what will itspressure most likely be?A. 266.4 kPaB. 366.4 kPaC. 212.2 kPaD. 12.5 kPa
Apply Boyle's law:
P1 V1 = P2 V2 =P3 V3 = P4 V4
(33.3)(100) = P4 ( 12.5 )
3330 = 12.5 P4
3330/12.5 = P4
P4 = 266.4 kPA
Answer:
A. 266.4 kPa
4. A dog is 60 m away while moving at a constant velocity of 10 m/s towards you. Where is the dog after 4
seconds?
There is concern that extra additives in detergents can
have negative health and environmental impacts. Is
it wise to use detergents containing these additives?
Answer:
Look below.
Explanation:
If additives are having negative effects on health and the environment, it would be wise to not use detergents containing these additives. These additives could threaten living things such as humans and animals.
There is concern that extra additives in detergents can have negative health and environmental impacts, then it would be very unwise to use detergents containing these additives
What is pollution?It can be defined as the origination of the contaminant substance that poisonous or harmful to our natural environment.
There are several types of pollution that exist in our nature depending on the state and composition of the contaminant, for example, water pollution can exist due to the eutrophication process.
It would be quite unwise to use surfactants that include these additional ingredients since there is fear that they might have a harmful influence on your well-being and the environment.
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Which of these actions is an example of chemical weathering? A. Freezing water widens the cracks in rocks B. plant roots force their way into cracks and rocks and brake them C. oxygen an area eggs with our content in rocks causing them to change color D. strong winds peel soft rock away leaving hard rock behind
Answer:
A. freezing water widens the cracks in rocks
Explanation:
chemical weathering (from what i can tell anyways) is when water comes in contact with rocks and over time wears it down.
Explain how energy is transformed when you cook food on a stove.
Answer:
A stove top acts as a source of heat energy when it burns the gas. Anything which is placed above the stove also becomes a source of energy to cook things
Explanation:
hope you understand it