A cargo of mass 50kg fall freely from rest at a height of 100m and came to rest having penetrated 5. 0cm of the ground calculate the time taken to fallcalculate the velocity of the body when it hits the ground
Answers
Given data:Mass of the cargo, m = 50 kg Height of the fall, h = 100 m Penetration of the ground, d = 5.0 cm = 0.05 m We need to find out the time taken to fall and the velocity of the body when it hits the ground.
Solution:When the cargo falls freely under gravity, it gains potential energy (PE) due to the gravitational pull, which is given by: \(PE = mgh\)
Where,m = mass of the cargo g = acceleration due to gravity h = height of the fall Substituting the given values,
\(PE = 50 kg × 9.8 m/s² × 100 m = 49000 J\)
The potential energy gained by the cargo is converted into kinetic energy (KE) when it falls and hits the ground, which is given by:
\(KE = (1/2) mv²\)
Where, v = velocity of the body Substituting the given values,
\(49000 J = (1/2) × 50 kg × v²v² = (2 × 49000 J) / 50 kgv² = 1960v = sqrt(1960) = 44.27 m/s\)
Hence, the velocity of the body when it hits the ground is \(44.27 m/s\). Now, we can find out the time taken to fall using the following formula:
PE = KEg × h = (1/2) gt²
The time taken to fall, \(t = sqrt((2h/g))\) Substituting the given values,
\(t = sqrt((2 × 100 m) / 9.8 m/s²)t = sqrt(20.4)t = 4.51 s\)
Therefore, the time taken to fall is \(4.51 seconds\). Applying the correct formulas for potential energy and kinetic energy, and using the formula for time taken to fall, we get the velocity of the body when it hits the ground to be\(44.27 m/s\), and the time taken to fall to be \(4.51 seconds\)
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Related Questions
If a woman needs an amplification of 5.0×1012 times the threshold intensity to enable her to hear at all frequencies, what is her overall hearing loss in dB? Note that smaller amplification is appropriate for more intense sounds to avoid further damage to her hearing from levels above 90 dB.
Answers
Woman's overall hearing loss is 120 dB.
A threshold intensity is the minimum amount of energy required for a person to perceive a sound at a given frequency. A decibel (dB) is a unit of measurement for the intensity of sound. A gain of 1 in decibels corresponds to a 10-fold increase in intensity (sound pressure level). Therefore, the amplification of 5.0 × 1012 times the threshold intensity is equivalent to a gain of 120 dB. This means that the woman's overall hearing loss is 120 dB.
The woman's hearing loss in dB can be determined using the following formula:
Gain in dB = 10 log10 (amplification)
For an amplification of 5.0 × 1012, the gain in dB is:
Gain in dB = 10 log10 (5.0 × 1012)
= 10 × 12.7
= 127
Therefore, the amplification of 5.0 × 1012 times the threshold intensity is equivalent to a gain of 127 dB. To avoid further damage to her hearing from levels above 90 dB, smaller amplification is appropriate for more intense sounds.
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What causes a snowflake to melt on your tongue?
Answers
Answer:
thermal energy
Explanation:
heat transfers into it causing it to physically change
Answer:
A pesar de las diferencias entre cada copo de nieve y las grandes familias de copos que existen, estos todavía tienen una base hexagonal. Esta estructura hexagonal se explica por la forma en que las moléculas de agua se unen para formar un cristal
Despite the differences between each snowflake and the large families of flakes that exist, they still have a hexagonal base. This hexagonal structure is explained by the way in which water molecules come together to form a crystal.
Explanation:
mn
TIME REMAINING 54:08 If a cup of coffee is at 90°C and a person with a body temperature of 36°C touches it, how will heat flow between them? from the hand to the cup from the cup to the hand from the cup to the surrounding air from the hand to surrounding air
Answers
Answer:
from the cup to the hand
Explanation:
Conduction is the heat transfer due to contact between object. During conduction, heat energy is transferred by contact from a body with higher temperature (hotter body) to a body with lower temperature (cooler body).
When a person with body temperature of 36°C comes in contact with a cup of coffee with temperature of 90°C, heat is transferred from the cup to the hand because the cup is hotter.
Is a dog chasing its tail acceleration
Answers
No. A dog chasing its tail is just an animal running around in circles.
The dog's MOTION, however, IS accelerated motion, since the DIRECTION of its motion is constantly changing.
A a dog chasing its tail cannot be considered as acceleration.
What is acceleration?Acceleration is the rate at which velocity changes over time, both in terms of speed and direction.
A point or object moving in a straight line is accelerated if it accelerates or decelerates. Even if the speed is constant, motion on a circle is accelerated because the direction is constantly changing.
For example, if a car accelerates as it turns a corner at constant speed, it is doing so because its direction is changing.
The faster you turn, the faster you accelerate. When velocity changes in magnitude (increase or decrease in speed), direction, or both, there is an acceleration.
Thus, as there is no change in either speed or direction in scenario in which a dog chases its tail, it is not considered as acceleration.
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How did mendeleev determine the properties of the undiscovered elements?
Answers
Answer:
Mendeleev left gaps in his table to place elements not known at the time. By looking at the chemical properties and physical properties of the elements next to a gap, he could also predict the properties of these undiscovered elements. ... The element germanium was discovered later.
Explanation:
What technology do you think is responsible for giving us these bountiful appliance as well as your handheld gadgets?
Answers
Answer:
Robot vacuum cleaners.
Clocky robotic alarm.
Wireless LED light bulbs.
Bediator.
Smart Faucet.
Wireless speakers.
Book Light.
Solar-powered path light.
Explanation:
Select the correct answer. If the resistance remains constant and the voltage doubles, what effect will that have on the power? A. The power will remain the same. B. The power will decrease by a factor of 2. C. The power will decrease by a factor of 4. D. The power will increase by a factor of 2. E. The power will increase by a factor of 4.
Answers
If the resistance remains constant and the voltage doubles, the power will increase by a factor of 4 (option E)
How do i determine the new power?The following data were obtained from the question:
Initial power (P₁) = PInitial voltage (V₁) = VResistance = ConstantNew voltage (V₂) = 2VNew power (P₂) =?P = V² / R
Resistance is constant, we have
V₁² / P₁ = V₂² / P₂
V² / P = (2V)² / P₂
V² / P = 4V² / P₂
Cross multiply
V² × P₂ = P × 4V²
Divide both side by V²
P₂ = P × 4V² / V²
P₂ = P × 4
From the above, we can conclude that the power will increase by a factor of 4 (option E)
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a police car, whose siren has a natural frequency of 620hz, moves away from a wall and towards a stationary observer at a speed of 30km/h. what is the beat frequency perceived by the observer? if the observer stands between the car and the wall, what beat frequency does he perceive?
Answers
If v is the frequency of the emission, then the frequency of the reflected wave is ′=(vv+vs)=620(340340+8.333)=605.2 Hz. v v + v s = 620 (340 340 + 8.333) = 605.2 H z is what "′" equals.
How does the observer's frequency change as the source gets further away?Moving away from the source causes an observer to pick up a lower frequency, while moving toward it causes them to pick up a higher frequency. Therefore, the perceived frequency often rises as the source and observer get closer to one another.
Why does a siren's frequency increase as an ambulance using that siren approaches?This is because the moving ambulance is squishing the sound waves in front of the car together. Your ear receives more vibrations per second as a result.
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Please sb help me fr
Answers
Answer:
I think it might be box 1. Hope this is right have a good day
me lo traduses plis no se ingles solo escribe lo que dice en la guia
an interaction between organisms that rely on the same resources?
Answers
Answer:
... is called competition.
Explanation:
competition for same thing
I WILL GIVE BRAINLIST just please help with these problems 3
Answers
Answer:
16. 68.18 Km/h
17. 3 miles.
Explanation:
16. Determination of the speed
Distance travelled = 150 Km
Time = 2.2 hours
Speed =?
Speed is simply defined as the distance travelled with time. Mathematically, it is expressed as:
Speed = Distance / time
With the above formula, we can obtain the speed as follow:
Distance travelled = 150 Km
Time = 2.2 hours
Speed =?
Speed = Distance /time
Speed = 150 / 2.2
Speed = 68.18 Km/h
17. Determination of the distance.
Speed = 3 mph
Time = 1 hour
Distance =?
Speed = Distance /time
3 = distance / 1
Distance = 3 miles
A snowboarder is sliding back and forth on a half pipe at one point she leaves the top of the half pipe and slides to the other side choose when kinetic energy increases during the snowboarders ride
Answers
Answer:
he kinetic energy increases on the descent, being maximum at the lowest point of the trajectory.
Explanation:
In these semicircular sections the skaters slide from one side to the other, in the downward path their kinetic energy increases and their potential energy decreases; When it leaves the ramp and is in the air, the kinetic energy decreases rapidly, up to the point of maximum height where the kinetic energy is zero.
Consequently, the kinetic energy increases on the descent, being maximum at the lowest point of the trajectory.
an electrical bulb rated at 2KW at 100V is used in a circuit having 200V supply. calculate the resistance that one must put in series with the bulb so that the bulb delivers 400W
Answers
P = V^2 / R
where P is the power, V is the voltage, and R is the resistance.
We can rearrange this equation to solve for R:
R = V^2 / P
In this case, the power is 400 W and the voltage is 200 V, so the resistance is:
R = (200)^2 / 400
R = 200
Therefore, the resistance that must be put in series with the bulb is 200 ohms.
It's worth noting that the bulb is rated for 2 kW at 100 V, so using it in a circuit with a voltage of 200 V will likely cause it to operate at a higher power than it is rated for.
what safety measures would you suggest to protect from harmful waves
Answers
Answer:
If you're talking about the sun than:
Time, Distance and Shielding Time, distance, and shielding actions minimize your exposure to radiation in much the same way as they would to protect you against overexposure to the sun:
If you're talking about the ocean than:
Water safety precautions for teens and young adults:
Never go into the water if you can’t swim.
If you can’t swim, learn. Any age can receive swimming lessons.
Always wear a life jacket while boating or taking part in boating activities such as tubing or skiing.
Never swim alone or in an unsupervised area.
Know your swimming strength.
Don’t rough house around water. Never push, jump on or hang on to others in or around water.
Never drink alcohol while taking part in water or boating activities. Alcohol affects your motor skills therefore making it harder to swim, float, keep balance or drive.
Explanation:
5. What is the momentum of a 0.05 kg golf ball moving at 240 m/s?
Answers
Answer:
12 kg m/s.
Explanation:
The momentum of an object is equal to its mass times its velocity. In this case, the mass of the golf ball is 0.05 kg and its velocity is 240 m/s, so the momentum of the golf ball is:
0.05 kg * 240 m/s = 12 kg m/s
So, the momentum of the golf ball moving at 240 m/s is 12 kg m/s.
The amount of lateral strain in a tension member can be calculated using OA the coeficient of expansion B the moment of inertia OCthe yield stress OD Poisson's rati
Answers
The amount of lateral strain in a tension member can be calculated using Poisson's ratio.
To calculate the lateral strain, we can use the equation: ε_lateral = -ν * ε_longitudinal
Where:
ε_lateral = Lateral strain
ν = Poisson's ratio
ε_longitudinal = Longitudinal strain
Poisson's ratio (ν) is a material property that describes the ratio of lateral strain to longitudinal strain when a material is subjected to an axial load. It is defined as the negative ratio of the transverse strain to the longitudinal strain.
Calculating the lateral strain involves determining the longitudinal strain, which can be calculated using the equation:ε_longitudinal = ΔL / L
Where:
ε_longitudinal = Longitudinal strain
ΔL = Change in length of the tension member
L = Original length of the tension member
Once the longitudinal strain is calculated, we can use Poisson's ratio to determine the lateral strain by multiplying the longitudinal strain by the negative value of Poisson's ratio.
It is important to note that the lateral strain is typically very small compared to the longitudinal strain in a tension member, especially for materials with a low Poisson's ratio.
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A soda can rolls off a table top and lands 0. 225 m away 0. 416 s later. How tall was the table
Answers
According to the given statement ,we can use the equations of motion and the concept of free fall. Therefore, the height of the table is approximately 0.085 meters.
To determine the height of the table, we can use the equations of motion and the concept of free fall.
First, let's identify the known values:
- The distance the soda can rolled horizontally, 0.225 m.
- The time it took for the soda can to land, 0.416 s.
- The acceleration due to gravity, which is approximately 9.8 m/s².
Since the can was rolling horizontally, we can ignore any initial vertical velocity and consider only the vertical motion of the can.
Using the equation of motion for vertical displacement:
s = ut + (1/2)at²
Where:
- s is the vertical displacement
- u is the initial vertical velocity (which is zero in this case)
- t is the time
- a is the acceleration due to gravity
In this case, we want to find the height of the table, which is the vertical displacement. So we can rearrange the equation to solve for s:
s = (1/2)at²
Plugging in the values:
s = (1/2) * 9.8 m/s² * (0.416 s)²
Simplifying:
s = (1/2) * 9.8 m/s² * 0.173056 s²
s = 0.085 m
Therefore, the height of the table is approximately 0.085 meters.
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People often think that Galileo dropped two objects of dramatically different mass off of the Leaning Tower of Pisa that both hit the ground at the same time. Explain why in reality this was most likely not true.
Answers
Answer: because of air resistance. See explanation for further details.
Explanation: Galileo performed an experiment to proof that the time of descent of two different masses is independent of time.
But in reality this is most likely not true because of air resistance and other fluid frictional effects in consideration.
If the experiment is performed in a vacuum, it will always be true that time is independent of masses of two falling objects.
What do executive departments do?
Answers
Answer:
Image result for What do executive departments do?
Under Article II of the Constitution, the President is responsible for the execution and enforcement of laws created by Congress. Fifteen executive departments—each led by an appointed member of the President's Cabinet—carry out the day-to-day administration of the Federal Government.
Explanation:
The Cabinet and independent federal agencies are responsible for the day-to-day enforcement and administration of federal laws. ... Fifteen executive departments — each led by an appointed member of the President's Cabinet — carry out the day-to-day administration of the federal government.
bubba decides one day to drive 34 miles along a road that runs 20 degrees west of due south. he then turns onto a road that runs 15 degrees south of due west and drives 21 miles. bubba then turns and drives 12 miles along a road that runs 26 degrees east of due south. finally, bubba turns and drives a distance of 22 miles along a road running 10 degrees east of due north. determine the magnitude and direction bubba's final displacement from his starting point.
Answers
Bubba's final displacement is approximately 43.77 miles at an angle of 63.9 degrees east of due south from his starting point.
Let's represent the different legs of Bubba's journey as vectors using their magnitude and direction.
First leg
Magnitude: 34 miles
Direction: 110 degrees (20 degrees west of due south)
Vector representation: 34(cos110i - sin110j)
Second leg
Magnitude: 21 miles
Direction: 255 degrees (15 degrees south of due west)
Vector representation: 21(cos255i - sin255j)
Third leg
Magnitude: 12 miles
Direction: 164 degrees (26 degrees east of due south)
Vector representation: 12(cos164i - sin164j)
Fourth leg
Magnitude: 22 miles
Direction: 80 degrees (10 degrees east of due north)
Vector representation: 22(cos80i + sin80j)
To find the final displacement, we need to add these vectors together:
D = 34(cos110i - sin110j) + 21(cos255i - sin255j) + 12(cos164i - sin164j) + 22(cos80i + sin80j)
We can simplify this expression by using the trigonometric identities:
cos(-x) = cos(x) and sin(-x) = -sin(x)
D = 34(cos110i + sin110j) + 21(cos105i + sin75j) + 12(cos164i - sin16j) + 22(cos80i + sin80j)
D = (34cos110 + 21cos105 + 12cos164 + 22cos80)i + (34sin110 + 21sin75 - 12sin16 + 22sin80)j
Using a calculator, we can evaluate the trigonometric functions to find:
D = 20.34i + 38.92j
The magnitude of this vector is given by:
|D| = √((20.34)² + (38.92)²) = 43.77 miles
The direction of this vector with respect to due north can be found using:
theta = atan2(Dy, Dx)
where Dx and Dy are the x and y components of the vector D.
θ = atan2(38.92, 20.34) = 63.9 degrees west of due north
Therefore, Bubba's final displacement from his starting point is 43.77 miles in a direction 63.9 degrees west of due north.
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Definition: The energy transferred by a force to a moving object.
Answers
Answer:
Force applied
Explanation:
An object will remain at its state of rest unless a non zero for act on it
the ability to see the world in three dimensions is called
Answers
The ability to see the world in three dimensions is called depth perception. It is the visual ability to perceive the relative distance of objects in space and to see them in three dimensions.
Depth perception is an important aspect of vision that allows us to accurately judge distances, perceive spatial relationships, and interact with our environment.
It is the result of the brain processing information from both eyes to create a single, three-dimensional image.
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Josie walks 15 meters north down the freshman hallway. She then walks 25 meters east. Lastly, she walks 15 meters south. What is Josie's displacement? *
Answers
Answer:
the answer is yours a calculated
I WILL MARK YOU THE BRAINLIEST NO LINKS
Why is there more heat in an iceberg than in a pot of boiling water?
Icebergs contain many more molecules than pots of water.
Water does not hold heat very well.
Most icebergs are fairly warm to the touch.
The pot insulates the heated molecules.
Answers
Answer: There is more energy in the iceberg.
Explanation:
Just compare the size of a pot to an iceberg. Even though the boiling water is hotter, there is less total energy due to size. Therefore there is more heat(energy) in an iceberg.
The pendulum is a thin ring with a radius of R 10 cm and a mass of m 500 g, suspended on a weightless thin rod with a length of l 0.4 m. Determine the moment of inertia of the pendulum relative to the axis around which the oscillations occur
Answers
The moment of inertia of the pendulum is determined as 0.0025 kgm².
What is moment of inertia?
The moment of inertia of an object is defined as a measurement the rotation of the object around a fixed axis.
The pendulum can be modelled as a circular disk and the moment of inertia is calculated as follows;
I = ¹/₂Mr²
where;
M is mass of the pendulumr is the radius of the pendulumI is the moment of inertia of the pendulumSubstitute the given parameters and solve for the moment of inertia of the pendulum.
I = 0.5 X 0.5 kg x (0.1)²
I = 0.0025 kgm²
Thus, the moment of inertia of the pendulum is determined as 0.0025 kgm².
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The removal of coal that is not close to earths surface through a horizontal opening in the side of a hill or mountain is called
Answers
Hope that helped
I really need the answer to this question please
Answers
At 30 degrees C, 90 grams of NaNO3 is dissolved in 100
grams of water. Is this solution SATURATED,
UNSATURATED, BOTH, or NEITHER
Answers
At 30 degrees C, when 90 grams of NaNO3 is dissolved in 100 grams of water, the solution becomes UNSATURATED.
A saturated solution is a solution that doesn't completely dissolve the solute.
An unsaturated solution is a solution that has a lesser amount of solute than the saturated solution in which it is being dissolved. Thus, the solute will be completely dissolved in the solution at the end of the reaction process.
From the given information:
NaNO3(salt) is the solutewater is the solvent.Since the mass of the solute is lesser than the solvent. It implies that the solute will dissolve completely in the solvent.
Therefore, the solution becomes unsaturated.
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(b) Is a high-resistance (long) bulb an ohmic resistorover this whole range of currents? (Choose the correctanswer(s))
1. The bulb is not ohmic, because itsresistance changes if the current through the bulb changes.
2. The bulb is ohmic, because it isnot possible for the resistance of any resistor to change.
3. The bulb is ohmic, because lightbulbs are ohmic.
4. The bulb is ohmic, because one canuse the formula
Answers
The correct answer is 1. The bulb is not ohmic, because its resistance changes if the current through the bulb changes.
An ohmic resistor is a resistor whose resistance is constant, regardless of the current flowing through it. A high-resistance (long) bulb is not an ohmic resistor because its resistance changes if the current through the bulb changes.
When a small current flows through a bulb, the filament is not very hot and the resistance is low. As the current increases, the filament gets hotter and the resistance increases. This means that the voltage across the bulb increases as the current increases.
This behavior is not what we expect from an ohmic resistor, where the voltage is proportional to the current. Therefore, a high-resistance (long) bulb is not an ohmic resistor.
The other options are incorrect.
Option 2 is incorrect because it is possible for the resistance of a resistor to change. In fact, this is what happens with a high-resistance (long) bulb.
Option 3 is incorrect because lightbulbs are not always ohmic resistors. Only certain types of lightbulbs, such as incandescent lightbulbs, are not ohmic resistors.
Option 4 is incorrect because the formula for the voltage across a resistor does not apply to a high-resistance (long) bulb.
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Billy jumps upward with a velocity of 4.2 m/s off a 6m high diving board. how long does it take for Billy to hit the water?l
Answers
Billy jumps upward with a velocity of 4.2 m/s off a 6m high diving board. . Billy will take 0.43 sec to hit the water
The branch of physics that defines motion with respect to space and time, ignoring the cause of that motion, is known as kinematics.
using equation of kinematics
v = u + g*t
sign convention
positive y direction (upward) = +
negative y direction ( downward ) = -
v = u - g*t
0 = 4.2 - ( 9.8 * t )
t = 4.2 / 9.8
t = 0.43 sec
Billy will take 0.43 sec to hit the water
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