An astronaut would feel incredibly strong tidal forces as he or she crossed the event horizon of a stellar-mass black hole.
The event horizon is the point of no return around a black hole, where the gravitational pull is so strong that nothing, not even light, can escape it.
As the astronaut approaches the event horizon, the gravitational pull on different parts of his or her body becomes increasingly strong, causing a phenomenon called tidal forces.
These tidal forces would be incredibly strong near a black hole, and they would stretch the astronaut's body into a long, thin shape.
The difference in gravitational pull between the astronaut's head and feet would be so extreme that it would likely result in the astronaut being torn apart, a process known as spaghettification.
In addition to the tidal forces, the intense gravitational field near a black hole can also cause intense heating due to the friction and compression of gas and dust around the black hole.
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As of 2016, where and when was the largest earthquake in the world? Your answer Submit Clear form
The largest earthquake in the world in 2016 occurred on 17 December in Papua New Guinea and had a magnitude of 7.9 on the Richter scale.
What is an earthquake?An earthquake is defined as a natural disaster in which tectonic plates of the earth's crust suddenly move as a consequence of the release of pressure by contact, which may be associated with dramatic disasters. Earthquake power is measured as units on the Richter scale.
Therefore, with this data, we can see that the largest earthquake in 2016 occurred in Papua New Guinea (Oceania continent) and it had a magnitude of 7.9.
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HARRY AND SUE CYCLE AT THE SAME SPEED. THE TIRES ONHARRY'S BIKE HAVE A LARGER DIAMETER THAN THOSE ON SUE'S BIKE
WHICH WHEELS IF WITHER HAVE THE GREATER ROTATIONALSPEED??
Since Harry and Sue cycle at the same speed (linear speed), Sue's bike wheels with the smaller diameter will have a greater rotational speed.
Here's a step-by-step explanation:
1. Linear speed (v) is related to rotational speed (ω) and wheel radius (r) through the equation v = ωr.
2. When Harry and Sue cycle at the same linear speed, v_Harry = v_Sue.
3. Considering the equation v = ωr, we can say ω_Harry * r_Harry = ω_Sue * r_Sue.
4. Since Harry's bike has a larger diameter (and radius) than Sue's bike, r_Harry > r_Sue.
5. As a result, to maintain the same linear speed, Sue's wheels must rotate faster, so ω_Sue > ω_Harry.
In conclusion, Sue's bike wheels have a greater rotational speed than Harry's bike wheels when they cycle at the same linear speed.
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How can the potential energy in magnets be used to create kinetic energy in an object without making contact?
Answer: If you move a magnet quickly through a coil of copper wire, the electrons will move - this produces electricity.
Explanation:
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Does a 2-kilogram rock have twice the mass
of a 1-kilogram rock? Twice the inertia? Twice
the weight (when weighed in the same loca-b
tion)? (4.5)
urged
bib ord:
Yes, a 2kg rock will have twice the weight and inertia of a 1 kg rock.
What is the weight of an object?
The weight of an object is the measure of the effect of force of gravity on the object.
W = mg
where;
m is the mass of the objectg is acceleration due to gravityThe weight of 2 kg rock and 1 kg rock is calculated as;
W (2) = 2 kg x 9.8 m/s² = 19.6 N
W (1) = 1 kg x 9.8 m/s² = 9.8 N
The weight of 2 kg rock is twice the weight of the 1 kg rock.
Inertia is the measure of reluctance of an object to move or stop moving and it depends on mass, so 2 kg tock will have twice the inertia of 1 kg rock.
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The electric current through a wire varies with time as shown
The total charge flown across any cross section of the wire in time interval 0-T is
The total charge flown across any cross section of the wire in time interval 0-T is determined from the area under the curve as ¹/₂i₀T.
option (2) is the correct answer.
What is the total current flowing in the wire?The total charge flown across any cross section of the wire in time interval 0-T is calculated as follows;
The total charge flowing = area under the curve
area under the curve = ¹/₂ x base of the triangle x height of the triangle
area under the curve = ¹/₂ x T x i₀
area under the curve = ¹/₂i₀T
Thus, the total charge flown across any cross section of the wire in time interval 0-T is determined from the area under the curve as ¹/₂i₀T.
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describe how you would see the apple in the dark.
The drag on an object depends on several variables. The most important of them, to understand the experiments you carried out is: Group of answer choices The largest length of the object. The roughness of the object. The specific gravity of the object. The material the object is made of. The density of the object. The area of the object.
Among the variables mentioned, the most important factor that influences drag on an object in the experiments conducted is the object's area.
Drag is the force that opposes the motion of an object through a fluid (such as air or water). It depends on several factors, including the object's area, shape, speed, and the properties of the fluid. However, in the context of the experiments conducted, the area of the object is the most significant factor.
The larger the surface area of an object facing the fluid flow, the greater the drag force it experiences. This is because a larger area creates more resistance to the fluid, resulting in higher drag. Other variables mentioned, such as the length, roughness, specific gravity, material, and density of the object, may indirectly influence drag by affecting the object's shape or ability to streamline, but they are not as directly correlated to drag as the area.
By controlling the area of the object in the experiments, researchers can investigate the impact of drag on the object's motion. Altering the object's area allows for comparative analysis to understand how changes in surface area affect the drag force experienced, providing insights into fluid dynamics and the relationship between objects and their environment.
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Archimedes' principle states that an object placed in a fluid will experience a buoyant force equal to the weight of the fluid it displaces.
Answer:
yes
Explanation:
Archimedes' principle states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces
Answer:
True
Explanation:
Took The Quiz
How far does a freely falling apple drop in 5.1 s after being released from rest?
Answer:
122.5 meters
Explanation:
g = 9.8 m/s^2 (standard value of g). so the freely falling body fall during the first 5 seconds will fall 122.5 meters if there is no external force work on it in an standard environment
The distance traveled by the apply after being released is 127.45 m.
The given parameters;
time of motion of the apple, t = 5.1 s
initial velocity of the apple, u = 0
The distance traveled by the apply is calculated by applying second kinematic equation as shown below.
Assuming downward motion to be positive.
\(s = ut + \frac{1}{2} gt^2\\\\s = 0 + 0.5\times 9.8 \times 5.1^2\\\\s = 127.45 \ m\)
Thus, the distance traveled by the apply after being released is 127.45 m.
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Calculate the average angular acceleration from t=0. 00st=0. 00s to t=1. 00st=1. 00s.
The average angular acceleration of an object from t = 0.00s to t = 1.00s, with initial angular velocity 0 rad/s and final angular velocity 2 rad/s, is 2 rad/s².
To find the average angular acceleration (a_avg), we can use the formula:
\(a_{avg} = (\omega_f - \omega_i)\) / Δt
where \(\omega_f\) is the final angular velocity, \(\omega_i\) is the initial angular velocity, and Δt is the change in time.
Given:
\(\omega_i\) = 0 rad/s (initial angular velocity)
\(\omega_f\) = 2 rad/s (final angular velocity)
Δt = 1.00 s (time interval)
Using the formula, we can calculate \(a_{avg\):
\(a_{avg\) = (\(\omega_f - \omega_i\)) / Δt
= (2 rad/s - 0 rad/s) / 1.00 s
= 2 rad/s / 1.00 s
= 2 rad/s²
Therefore, the average angular acceleration of the object from t = 0.00s to t = 1.00s is 2 rad/s².
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The appropriate question is:
What is the average angular acceleration of an object from t=0.00s to t=1.00s also \(\omega_i\) = 0 rad/s (initial angular velocity), \(\omega_f\) = 2 rad/s (final angular velocity).
4. A moped travels 20 kilometers in 30 minutes. Calculate its average speed in km/h?
Answer:
\( \boxed{Average \: speed = 40 km/h} \)
Explanation:
Distance travelled = 20 km
Time taken = 30 min
= \( \frac{30}{60} \) h
= \( \frac{1}{2} \) h
\(Average \: speed = \frac{Distance \: travelled}{Time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{20}{ \frac{1}{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 \div \frac{1}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 \times 2 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 40km/h\)
A 1400 kg car driving at 25 m/s slams on its brakes. The coefficient of kinetic friction between the tires and the road is 0.7.
What is the magnitude and direction of the acceleration of the car? Bonus: how long does it take the car to stop?
The acceleration of the car is 6.86 m/s² and the time taken for the car to stop is 3.64 s.
The given parameters;
mass of the car, m = 1400 kgInitial velocity of the car, u = 25 m/scoefficient of kinetic friction, μ = 0.7The acceleration of the car is calculated as follows;
a = μg
a = 0.7 x 9.8
a = 6.86 m/s²
The time taken for the car to stop is calculated by using Newton's second law of motion;
F = ma
\(F = \frac{mv}{t} \\\\ma = \frac{mv}{t}\\\\a = \frac{v}{t} \\\\t = \frac{v}{a} \\\\t = \frac{25}{6.86} \\\\t = 3.64 \ s\)
Thus, the acceleration of the car is 6.86 m/s² and the time taken for the car to stop is 3.64 s.
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30. An applied force of 60 N is used to accelerate a 50 N object to the right across a frictional surface. The object
encounters a 20 N of friction. Determine the coefficient of friction
a. 0.4
b. 2.5
c. 0.83
d. 3
Mu'
Coefficient of friction is calculated to be 0.4. Therefore, a) will be the correct answer .
What do you mean by frictional force ?Frictional force is that force which is generated by two surfaces that contact and slide against each other. Factors affecting the frictional force are the surface texture and the amount of force impelling them together.
The frictional force is said to be a contact force as frictional force occur when two surfaces come in contact with each other.
Given applied force = 60 N
weight of object = 50N; friction force = 20N
As we know that, Coefficient of friction = force of friction/normal force
= 20/50
Coefficient of friction = 0.4
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If all the remaining reactants combine with oxygen, how many grams of each of the two oxides form?
The mass of each of the two oxides formed is 0.48 g and 0.478 g respectively.
Balanced chemical equation of the given reaction is as follows;3Mg + N2 → Mg3N2
The mole ratio between the reactants magnesium and nitrogen can be given as;
Moles of magnesium = mass / molar mass of magnesium= 2.00 g / 24.31 g mol^-1 = 0.0822 mol
Moles of nitrogen gas = volume x pressure / molar mass of nitrogen= 1.25 L x 1.12 g L^-1 / 28.01 g mol^-1= 0.0509 mol
From the balanced chemical equation, one mole of magnesium reacts with one mole of nitrogen gas to give one mole of magnesium nitride.
Thus, the limiting reagent is nitrogen gas. Therefore, moles of magnesium nitride formed is equal to 0.0509 mol. Since one mole of magnesium nitride contains three moles of magnesium, moles of magnesium required can be given as;Moles of magnesium = 3 × moles of magnesium nitride= 3 × 0.0509 mol= 0.1527 mol
Therefore, the number of grams of magnesium required can be given as;
Mass of magnesium = moles of magnesium × molar mass of magnesium= 0.1527 mol × 24.31 g mol^-1= 3.71 g
Now, the total mass of magnesium nitride is equal to 2.00 g + 2.00 g = 4.00 g.
The mass of nitrogen gas required can be calculated by subtracting the mass of magnesium required from the total mass of magnesium nitride.
Mass of nitrogen gas = total mass of magnesium nitride - mass of magnesium= 4.00 g - 3.71 g= 0.29 g
The two oxides that can be formed are magnesium oxide (MgO) and nitrogen dioxide (NO2).
The balanced chemical equation for the formation of MgO from magnesium can be given as;2Mg + O2 → 2MgO
The moles of magnesium required for the formation of magnesium oxide can be calculated as;
Moles of magnesium = mass / molar mass of magnesium= 0.29 g / 24.31 g mol^-1= 0.0119 mol
Therefore, the number of grams of magnesium oxide formed can be given as;
Mass of magnesium oxide = moles of magnesium × molar mass of magnesium oxide= 0.0119 mol × 40.31 g mol^-1= 0.48 g
The balanced chemical equation for the formation of NO2 from nitrogen can be given as;
N2 + 2O2 → 2NO2
The moles of nitrogen required for the formation of nitrogen dioxide can be calculated as;
Moles of nitrogen = mass / molar mass of nitrogen= 0.29 g / 28.01 g mol^-1= 0.0104 mol
Therefore, the number of grams of nitrogen dioxide formed can be given as;
Mass of nitrogen dioxide = moles of nitrogen × molar mass of nitrogen dioxide= 0.0104 mol × 46.01 g mol^-1= 0.478 g
Thus, the mass of each of the two oxides formed is 0.48 g and 0.478 g respectively.
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The movement of crustal plates is best described as a:
1)Trend toward increased crust movement overtime
2)Series of events that happens quickly
3)continuing long-term process
4)process that has a predictable pattern
Answer:
it is number 3, continuing long-term process
after it i releaed, the electric field intantaneouly change to a contant, uniform electric field 2
pointing due outh. 8.49
after the field change, the proton ha returned to it tarting point. What i the ratio of the magnitude of 2
to the magnitude of 1?
You may neglect the effect of gravity on the proton.
The ratio of magnitude 2 to magnitude 1 after the electric field change when the proton returned to its starting point.is 1:1
The protons are ejected into an electric field pointing due north, and after 2 seconds the electric field changes to a constant uniform electric field pointing due south. 8.49 seconds after the field change, the proton returned to its starting point.
The protons were initially stationary and accelerated by the electric field. A proton's acceleration is directly proportional to its electric field and inversely proportional to its mass.
Two oppositely directed fields act on the protons, implying a net acceleration of zero. Therefore, the ratio of the magnitude of electric field 2 to the magnitude of electric field 1 is 1:1.
The ratio of magnitude 2 to magnitude 1 is 1:1
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which one is better yoga or exercise?
Answer:
Yoga because It brings together physical and mental disciplines to achieve a peaceful body and mind; it helps manage stress and anxiety and keeps you relaxing and exercising just builds muscles
Explanation:
have great day!
What is universal constant (G)
☄ Universal Gravitational Constant(G)
Gravitational constant is a constant of proportionality when F(Gravitational force) is proportional to product of masses and inversely proportional to the distance between them.
It can be defined as:- Universal gravitational constant is the magnitude of the force between a pair of 1 kg masses that are kept 1 metre apart.The SI unit of G is N m²/kg² and the CGS unit of G is Dyne cm² / g².☄ Do you know?The value of G (universal gravitational constant) was found out by the scientist Henry Cavendish by using the sensitive torsion balance\(.\)
━━━━━━━━━━━━━━━━━━━━
Answer:
Here is the answer. Hope this helps you!
Explanation:
Now, from Universal law of gravitation, we come to know that:
F= force of attraction
M = the object with greater mass (taken from centre of the objects)
m = object with smaller mass (taken from centre of the objects)
d = distance (taken from centre of the objects)
F ∝ Mm
F ∝ 1/d²
Therefore, we get the formula
F ∝ Mm/d²
F = GMm/d²
Here, G is the constant of proportionality. It also accepted as the Universal gravitation constant. It has a value of 6.67*10^-11 Nm^2/kg^2.
The universal gravitation constant has allowed us to use the above formula to help us calculate and come to know about
the force that binds us to the earththe motion of moon around the earththe motion of planets around the sunthe tides on earth caused by the moon and the sun.true or false: as the momentum of a particle of mass m increases, its wavelength increases.
Answer:
False. Momentum of particle is inversely proportional to wavelength.
Explanation:
The momentum of a particle is related to its de Broglie wavelength, according to the de Broglie wavelength equation:
λ = h / p
where λ is the wavelength, h is the Planck constant, and p is the momentum of the particle. As we can see from the equation, as the momentum increases, the wavelength decreases.
Therefore, as the momentum of a particle of mass m increases, its wavelength decreases, not increases.
a car drives at a velocity of 12 [m/s] for 9 [s]. what distance does the car drive?
Answer:
The car drives 108 m
Hydrogen fusion in the sun requires a temperature (in kelvin) of:_____.
Hydrogen fusion in the sun requires a temperature of more than 100 million kelvin.
so that you can fuse two hydrogen atoms things are required: excessive temperature and excessive pressure. The minimum temperature required to fuse hydrogen is set a hundred million Kelvin, which is set six times the temperature in the middle of our sun.
What temperature does fusion get up inside the sun?
The gravity of the solar, which is sort of 28 times that of Earth, ''traps'' hydrogen from its environment and this hydrogen fuels the Hydrogen fusion reaction. At temperatures of 15 million diploma Celcius within the solar's center, hydrogen gasoline becomes plasma, the fourth country of depend.
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the distance between two notes, or pitches, is called a.an accidental b.an interval c.the beat d.the key
In music theory, the distance between two pitches or notes is referred to as (b) an interval. Intervals are measured by counting the number of letter names and the distance between them, including both the letter names and any accidentals (sharps or flats) that may be present.
Intervals can be classified based on their specific distance, such as a minor second, major third, perfect fifth, etc.
An accidental (option a) is a symbol used in musical notation to indicate a temporary alteration of a pitch. The beat (option c) refers to the rhythmic pulse or division of time in music.
The key (option d) refers to the tonal center or the group of pitches that a piece of music is based on. While all of these terms are important in music, the specific term that describes the distance between two notes or pitches is an interval.
Therefore, (b) an interval is the correct answer.
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Derive the relationship between g and G using the relationship calculate the value of g on earth
Answer:
A
Explanation:
3. A bottle of water has a density of 1000 kg/m³ and mass of 0.50 kg. Calculate the volume of the water bottle giving your answer in litres.
Answer:
=2 000 000 Litres
Explanation:
Density=mass/volume
1000kg/m^3=0.50×Volume
Volume=2000m^3
apparently I searched it up and
1m^3=1000 litres.
During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. A balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. Assume that the stretching of the hose obeys Hooke's law with a spring constant of 88.0 N/m. If the hose is stretched by 4.20 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length
Answer:
The work done on the hose by the time the hose reaches its relaxed length is 776.16 Joules
Explanation:
The given spring constant of the of the spring, k = 88.0 N/m
The length by which the hose is stretched, x = 4.20 m
For the hose that obeys Hooke's law, and the principle of conservation of energy, the work done by the force from the hose is equal to the potential energy given to the hose
The elastic potential energy, P.E., of a compressed spring is given as follows;
P.E. = 1/2·k·x²
∴ The potential energy given to hose, P.E. = 1/2 × 88.0 N/m × (4.20 m)²
1/2 × 88.0 N/m × (4.20 m)² = 776.16 J
The work done on the hose = The potential energy given to hose, P.E. = 776.16 J
What is the time required for sound to travel 1.75 km if the temp of the air is 20 C°?
Answer:
Explanation:
The 2 equations we need for this are
\(v=331.5+.606T\) and
d = rt. First we need to find the velocity using the first equation, then we will plug it into the distance equation as the rate to find the time.
v = 331.5 + .606(20.0) I used 3 sig figs for the temp instead of the 1 found in 20.
v = 331.5 + 12.1 so
v = 343.6 m/s
Now, before we can find the time in seconds, we need to convert the distance to meters.
1.75 km = 1750 m:
1750 = 343.6t so
t = 5.09 seconds
A golf ball is dropped from a height of h = 3.2 m above the ground. After it bounces, it only reaches a heighth = 212 m above the ground. The golf ball has mass m=0.1285 kg Randomized Variables h = 3.2 m h2=2.12 m - 01285 kg A 33% Part (a) What is the magnitude of the impulse I, in kilogram meters per second, the golf ball experienced during the bounce? 1= Grade Summary Deductions 090 1000 Potential x E 7 8 4 5 1 2 9 6 3 Submissions Attempts remaining ( per attempt) detailed view + - 0 sin cos t an() cotan asin acos atan acotan sinho cosh tanho cotanho Degrees Radians Submit Hint Hints: 001 deduction per hint. Hints remaining 2 VO 1 give up! Feedback: 0deduction per feedback 43396 Part (b) If the golf ball was in contact with the ground for 1 = 0.072 s, what was the magnitude of the constant force Facting on it, in newtons? 339 Part (c) How much energy, in joules, did the golf ball transfer to the environment during the bounce?
To answer the given questions, let's consider each part separately:
Part (a) - Magnitude of Impulse (I):
The magnitude of impulse is equal to the change in momentum of the golf ball during the bounce. We can calculate it using the formula:
I = m * Δv
Where:
m = mass of the golf ball = 0.1285 kg
Δv = change in velocity of the golf ball during the bounce
Since the ball is dropped and then reaches a height of 2.12 m, we can find the change in velocity using the equation for gravitational potential energy:
m * g * (h2 - h) = (1/2) * m * Δv^2
Where:
g = acceleration due to gravity = 9.8 m/s^2
h = initial height = 3.2 m
h2 = final height = 2.12 m
Rearranging the equation and solving for Δv, we get:
Δv = √((2 * g * (h2 - h))
Plugging in the values:
Δv = √((2 * 9.8 * (2.12 - 3.2)) = √(-2 * 9.8 * (-1.08)) ≈ 4.019 m/s
Now, we can calculate the impulse:
I = m * Δv = 0.1285 kg * 4.019 m/s ≈ 0.5168 kg·m/s
Therefore, the magnitude of the impulse experienced by the golf ball during the bounce is approximately 0.5168 kg·m/s.
Part (b) - Magnitude of Constant Force (F):
The magnitude of the constant force acting on the golf ball during the contact with the ground can be calculated using the impulse-momentum relationship:
I = F * Δt
Where:
I = magnitude of impulse = 0.5168 kg·m/s
Δt = time of contact with the ground = 0.072 s
Rearranging the equation and solving for F, we get:
F = I / Δt = 0.5168 kg·m/s / 0.072 s ≈ 7.18 N
Therefore, the magnitude of the constant force acting on the golf ball during the contact with the ground is approximately 7.18 N.
Part (c) - Energy Transfer:
The energy transferred to the environment during the bounce can be calculated using the work-energy principle. The work done by the constant force (F) during the bounce is equal to the change in kinetic energy:
Work = ΔKE
The change in kinetic energy is given by:
ΔKE = (1/2) * m * Δv^2
Substituting the values:
ΔKE = (1/2) * 0.1285 kg * (4.019 m/s)^2 ≈ 0.413 J
Therefore, the golf ball transferred approximately 0.413 Joules of energy to the environment during the bounce.
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Doubling the number of units of a bottleneck resource will double the process capacity True False
The given statement is false, because doubling the number of units of a bottleneck resource does not necessarily double the process capacity.
The capacity of a process is determined by its bottleneck, which is the resource or step with the lowest capacity. Increasing the capacity of the bottleneck resource may improve the overall process capacity, but it depends on the specific circumstances and the nature of the process. Other factors such as dependencies, synchronization, and overall process design can also impact the process capacity. Therefore, simply doubling the units of a bottleneck resource does not guarantee a doubling of the process capacity.
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130 An object, initially at rest, is dropped from a height of 12.0m. The change in gravitational potential
energy when it falls to the ground is 565J.
The frictional forces are negligible
mgh
What is its speed when it hits the ground?
A
4.71 m/s
B
15.5m/s
C 47.1 m/s
D 240 m/s
The speed when it hits the ground is option (B) 15.5 m/s.
To determine the speed of the object when it hits the ground, we can use the principle of conservation of energy. The initial potential energy of the object is converted into kinetic energy as it falls.
The change in gravitational potential energy is given as ΔPE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.
We know that ΔPE = 565 J, and the height h = 12.0 m.
Since the object is initially at rest, its initial kinetic energy is zero.
The total mechanical energy (sum of potential and kinetic energy) is conserved, so:
ΔPE = ΔKE
mgh = (1/2)mv^2
Here, m cancels out, giving:
gh = (1/2)v^2
Substituting the known values:
(9.8 m/s^2)(12.0 m) = (1/2)v^2
117.6 = (1/2)v^2
Dividing both sides by (1/2):
235.2 = v^2
Taking the square root of both sides:
v ≈ 15.33 m/s
Therefore, the speed of the object when it hits the ground is approximately 15.33 m/s.
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Reena has rolled down her toy car through a ramp. When she increases the height of the ramp (10 cm ) the car has travelled 5 metres and she increases the height of the ramp (13 cm) the car has travelled 6 metres . What happened when she raises the height of the ramp?
Answer:
As she raises the height of the ramp, the speed of the toy car decreases.
Explanation:
Speed is the ratio of the distance traveled by an object to the time taken.
i.e speed = \(\frac{distance}{time}\)
From the given question, it would be observed that:
i. when the height of the ramp was 10 cm, the car traveled 5 meters.
ii. when the height of the ramp was increased to 13 cm, the car traveled 6 meters.
Therefore, an increase in the height of the ramp causes a decrease in the speed of the toy car so that the distance traveled per unit time increases. Showing that there is an inverse relationship between the height of the ramp and the speed of the toy car.