The batteries in a remote control aeroplane are typically set up in parallel to maximise the current. Remote controllers with both series and parallel battery configurations may be employed in a number of settings.
The majority of remote controls use AAA and AA batteries. Manufacturers frequently sell these items with subpar, weak zinc carbon batteries that quickly lose their charge. Because the batteries in a TV remote are connected in series, the device will not function if one cell is dead or missing. A battery is a collection of at least two cells. The arrangement of the cells should be such that the positive terminal of one cell is coupled with the negative terminal of the following cell.
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after the dark wand touched the basket, what was the polarity of the basket? did the basket gain or lose electrons during the contact with the dark wand? where did the electrons go (or come from)?
After the dark wand touched the basket, The basket took on a negative charge, the charge was decreased. The dark wand stole electrons from the pail since it had a negative charge.
Charge is a fundamental property of matter that describes the electrical interaction between objects. It is a scalar quantity with units of Coulombs (C) in the SI system. There are two types of charges: positive and negative.
Positive charges have more protons than electrons and are attracted to negative charges. Negative charges have more electrons than protons and are attracted to positive charges. Objects with the same charge will repel each other.
Charge is conserved, meaning that the total charge in a system remains constant, even though the charge distribution can change. This is known as the law of conservation of charge.
Therefore, After the dark wand touched the basket, The basket took on a negative charge, and the charge was decreased. The dark wand stole electrons from the pail since it had a negative charge.
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Is it true that the speed of the object is equal to zero?
No, it is not true that the speed of the object is equal to zero. Hence, it is impossible for an object to have zero speed and non-zero velocity.
Why can't there be no speed?Since distance is also a scalar, it will not be negative even if we move in the opposite direction. It never stops adding, regardless of the direction. Therefore, a moving body's total travel distance cannot be zero. Therefore, the total average speed cannot be zero, and if the body is moving, it will be nonzero.
What is the speed of the object?In meters per second, speed is the rate at which an object changes position. For instance, if an object moves three meters in three seconds from its origin, its speed is one meter per second. The formula for speed is straightforward: time divided by distance.
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he wave speed on a string under tension is 150 m/s . part a what is the speed if the tension is doubled?
The speed is 282.84 if the tension is doubled.
According to the question, the speed of the tension is as follows
The formula we will use is
v = √ T /ρ
where v is the speed of the wave, T the tension in the wire, and ρ the density of the wire
If the tension is doubled
T = 2T₀
v = √ (2T₀ / ρ)
v = √2 √ T₀ / ρ
v = √2 v₀
Therefore,
v = √2 200
v = 282.84 m / s
What is the speed if the tension is doubled?
If the tension is doubled, what happens to the speed of the waves on the string? Since the speed of a wave on a taunt string is proportional to the square root of the tension divided by the linear density, the wave speed would increase by √2.
What is the wave speed on a string under tension?
The speed of a pulse or wave on a string under tension can be found with the equation. |v|=√FTμ where FT is the tension in the string and µ is the mass per length of the string.
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g A child bounces a 50 g super ball on the sidewalk. The velocity change of the super bowl is from 20 m/s downward to 18 m/s upward. If the contact time with the sidewalk is 1 800 s, what is the magnitude of the average force exerted on the superball by the sidewalk
The force exerted on the wall is the product of acceleration and mass of the ball. Acceleration of the wall is - 1600 m/s² . The force exerted on the wall is 80 N.
What is force?Force is an external agent acting on an object to change its state of motion or rest. According to Newton' second law of motion, force is the product of acceleration and mass of the object.
Acceleration of a moving object is the rate of change in its velocity.
time = 1/ 800 s
change in velocity = 18 -20 = -2 m/s
acceleration = -2 m/s/ (1/800 s) = - 1600 m/s²
mass of the ball = 50 g = 0.05 kg.
then force = 0.05 kg × -1600 m/s² = - 80 N.
Therefore, the force applied on the wall is 80 N.
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quiz electrostatics apex
Play this game to review Electricity. When an object gains electrons it becomes ______.
When a thing gains electrons in electricity, it'll become negatively charged. The collection of phenomena known as electricity is related to the existence and mobility of matter that possesses an electric charge.
An electricity is what?The movement of electricity generation or charge is known as electricity. It is a sustainable energy source, meaning that we obtain it through the conversion of main energy sources like coal, fossil fuels, oil, nuclear power, and many other essential minerals.
What components make up electricity?In accordance with the U.S. Energy Management Administration, coal, nuclear power, and natural gas made up the majority of the country's electrical generation in 2020. Sources of renewable energy like wind, electricity, solar, biomass, wind, and groundwater are also used to generate electricity.
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What is 28 Inches in Feet?
28 Inches is 2.33 Feet
What does the measuring unit foot mean?
"Feet" is the plural form of the single unit of measurement known as "foot." The symbol for foot or feet is, and the abbreviation is ft. One foot-long bags, for instance, can be written as either 1 ft or 1'.
Simply measure the length in inches, multiply the result by 12, and then you will have the conversion to feet. The linear footage is the resultant number. Height and width are unimportant for this dimension.
1 inch equals 2.54 cm or 0.0254 m.
1 ft. = 12 in. = 0.3048 m
1 foot equals 12 inches, 28 inches will be 2.33333 feet (ft).
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how many ounces in 500 ml
0.0520421 ounces in 500 ml .
What is volume ?
Volume is a measure of the amount of space occupied by an object or a substance. It is a scalar quantity and is expressed in units such as cubic meters, cubic centimeters, liters, or gallons. Volume is an important physical quantity that is used to describe the size of objects and the amount of a substance contained within a container.
In mathematics, volume is often used to describe the amount of space enclosed by a three-dimensional object, such as a cube, sphere, or cylinder. The formula for the volume of a three-dimensional object depends on its shape, but common formulas include the volume of a cube (V = s^3), the volume of a sphere (V = 4/3 π r^3), and the volume of a cylinder (V = π r^2 h).
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Why are the tires for trucks carrying gasoline and other flammable fluids manufactured to be electrically conducting? 1. To move the positive charges from the truck to the ground and avoid fire 2. To move the negative charges from the truck to the ground and avoid a fire 3. To make the truck move faster 4. To make the truck easier to drive 5. To neutralize the charges on the trucks?
By the help of static electricity To move the negative charges from the truck to the ground and avoid a fire
The tyres on trucks hauling gasoline and other hazardous substances are engineered to be electrically conductive to prevent static electricity from building up and burning. As the truck moves further, the static electricity created by the tyres' friction with the ground may build up. If static electricity reaches a particular point, it might spark and explode. An explosion is avoided thanks to the tyres' electrical conductivity, which enables the static energy to be dispersed into the ground before it can build up to a harmful level. People transporting combustible materials are safer because the risk of an explosion is lower is drastically decreased by making the tyres conductive.
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how close is your experimental ratio to the standard conversion factor of 2.54cm/in
It was spot on. 2.54 / 10.16 cm = 4 in C.
What is Length ?
Length is a term used to describe the distance between two points on an object or the dimension of an object along a particular axis. Length is usually measured in units of distance, such as meters, centimeters, inches, or feet.
In physics, length is an important concept used to describe the size of objects, the distance between two points, or the dimensions of a space. In engineering and construction, length is used to design and build structures, such as bridges and buildings, to ensure they are safe and fit for their intended purpose.
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star a is 3.2 times hotter than star b. how many times brighter is star a than star b?
Star A is thus (3.24^4 = 51.2) times brighter than star B.
What is brightness?In physics, brightness is the subjective visual feeling associated with the intensity of light emerging from a surface or a point source (see luminous intensity). Luminance is a quantitative and measurable property. Whereas brightness cannot be measured scientifically, it can only be sensed. We can tell if a light source is bright or dim, therefore brightness is the visual sense that alerts us to changes in luminance.
Here,
The relationship between temperature and brightness in stars is described by the Stefan-Boltzmann law, which states that the total energy emitted by a star per unit time (its luminosity) is proportional to the fourth power of its temperature.
L ∝ T^4
where L is the luminosity and T is the temperature.
If star A is 3.2 times hotter than star B, then its temperature is 3.2 times higher:
T_A = 3.2 T_B
So, its luminosity is proportional to the fourth power of its temperature:
L_A ∝ T_A^4 = (3.2 T_B)^4 = 3.2^4 T_B^4 = 3.2^4 L_B
Therefore, star A is (3.2^4 = 51.2) times brighter than star B.
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what minimum constant acceleration does the aircraft require if it is to be airborne after a takeoff run of 230 m?
The minimum constant acceleration required for the aircraft to be airborne after a takeoff run of 230 m is 10.9 m/s^2.
We can use the kinematic equation to find the minimum constant acceleration required for the aircraft to be airborne after a takeoff run of 230 m.
The kinematic equation is given by:
v^2 = u^2 + 2as
where
v = final velocity (takeoff velocity)
u = initial velocity (0 m/s, since the aircraft starts from rest)
a = acceleration
s = displacement (230 m)
Since the final velocity of the aircraft must be sufficient to be airborne, we can assume it to be the minimum takeoff velocity, which is typically around 50 m/s.
Substituting the values in the equation, we get:
50^2 = 0^2 + 2as
2500 = 2as
a = 2500 / 2s
a = 2500 / 2 * 230
a = approximately 10.9 m/s^2
So, the minimum constant acceleration required for the aircraft to be airborne after a takeoff run of 230 m is approximately 10.9 m/s^2.
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assuming that the same impulse is transferred from the hammer, does the center-of-mass motion after the collision depend on which cube is struck first?*Yes, the center of mass of the system will move faster in case (b).*No, the center of mass of the system will move with the same velocity in either case.*Yes, the center of mass of the system will move faster in case (a).
The two cubes have different inertias. The cubes are connected to each other by a spring, and a hammer strikes them in the two ways.
Then, b) the center of mass of the system will move with the same velocity in either case.
About the center of massThe center of mass of an object can be known when the difference is thrown, so there will be a point of the object whose motion is like a parabola. For example, if a base ball bat is thrown, the whole point will move. There is a point whose motion is like the motion of a particle, namely parabolic motion. The tip of the beater, which was initially at the bottom when it was at the peak of the movement, was at the bottom.
The tip rotates. But there is a point on the bat that moves like a particle. This point is called the center of mass.
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Simple diffusion of a molecule down its concentration gradient requires an input of energy to the system.
1. True
2. False
Simple diffusion of a molecule down its concentration gradient requires an input of energy to the system is false.
Does simple diffusion need energy?Diffusion is a type of molecule movement down its concentration from a higher concentration to a lower concentration. Because of that, it doesn’t require the energy (ATP) from respiration. The molecule only uses kinetic energy. Based on these characteristics, diffusion is included in passive transport.
Diffusion can either be simple diffusion or be facilitated by another molecule. Simple diffusion is the movement of molecules along their concentration gradient without the direct involvement of any other molecules, while facilitated diffusion is the transport of molecules via a protein membrane.
Thus, simple diffusion doesn’t need energy for regulating the molecule passing through the membrane.
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the velocity of an object changes with time as shown. if the object is known to be at x = -10 m when t = 0 s, what is the position of the object at t = 4 s?
Actually, every second of time sees a change in velocity of 10 m/s, which is a constant. When an object's velocity changes, it is referred to as accelerating; this implies that the object has an acceleration.
What does velocity refer to?Velocity is the rate of change in direction of an object that is moving as measured by a specific standard of time and observed from a specific point of reference (for example, 60 km/h northbound).
Why does velocity formula exist?According to the formula v = s/t, speed (v) is a scalar quantity that quantifies dislocation (or a shift in position, s), over change in time (t).
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A diver running 1. 6 m/s dives out horizontally from the edge of a vertical cliff and reaches the water 3. 0 s later. How high was the cliff and how far from its base did the diver hit the water?.
Height of cliff where a diver jumps is 36.9m and from base the diver will be out by 3.6m distance.
The distance of a point from the y-pivot is called its x-direction, or abscissa. The distance of a point from the x-hub is called its y-direction, or ordinate. The directions of a point on the x-hub are of the structure (x, 0), and of a point on the y-hub are of the structure (0, y).
For calculating distance in horizontal direction (in positive x-axis),we need to use second equation of motion which is given by the formula
S=ut + (1/2)at²
In x-direction acceleration in x-direction=0m/sec²
So, value of a=0m/sec²
Value of u=1.6m/sec, t=3.0sec
=>S=1.6 ×3=3.8m
Similarly, for calculating distance in vertical direction (in positive x-axis),we need to use second equation of motion which is given by the formula
S=ut+ (1/2)at²
In y-direction,acceleration is 9.8m/sec²
Also,in y-direction initial velocity(u) is 0m/sec.
=>S=0×t + (1/2)×9.8×(3.0)²
=>S=0+4.9×9
=>S=36.9m
Hence,height is 36.9m and distance in horizontal direction is 3.8m
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Acceleration Check in
A person drops a penny from the Empire State Building in New York City. What is the final velocity of the penny right before it hits the ground if it falls
for 12 seconds?
O 1.2 m/s
O 117.6 m/s
O 0.82 m/s
O 11.7 m/s
The final velocity of the ball is 117.6 m/s.
What is the final velocity?The first thing that we would need to know is the height of the building and we know that the height of the building that we are dealing with here is 1250 feet of we say that the height is 381 m.
We can now say that;
v= u + gt
It then follows that;
s = distance
u = initial velocity
g = acceleration due to gravity
t = time taken
Then we have that it was dropped from a height
Thus;
v^2 = 2gh
v = √2 * 9.8 * 381
v = 9.8 * 12
v = 117.6 m/s
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fill the blank. Whenever the net force on an object is zero, its acceleration ................
Whenever the net force on an object is zero, its acceleration is zero.Whenever the net force on an object is zero, its acceleration is zero. This means that the object is either at rest or moving at a constant velocity.
The net force on an object can be determined by summing up all the individual forces acting on it, and if the net force is zero, then the object is in a state of balanced forces, which results in a constant velocity or no acceleration. It is important to note that an object can still be in motion even if the net force on it is zero, as long as it is moving at a constant velocity.
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As interest rates rise, _____.
it becomes more expensive to hold money as cash
bonds and savings accounts become less attractive for investment
firms will generally spend their wealth
it becomes less expensive to hold money as cash
Answer:
The answer is: B.it becomes more expensive to hold money as cash
When interest rates rise, the amount of revenue that you can make when making investments would also rise.
This mean that if you choose to hold your money as cash, you would lose all of the potential earning that you might obtain from turning that money into investments. This make your cash has less monetary value compared to investments.
Explanation:
What is the volume charge density rho of the sphere?
Explanation:
The volume charge density, p, is the amount of charge per unit volume of charged object. To calculate the volume charge density of a sphere, you would need to know the total charge on the sphere and the volume of the sphere. Without knowing these values, it is not possible to determine the volume charge density of the sphere.
Charge density per volume is equal to A(Rr) for a sphere with radius R Charge density
What is the plain meaning of volume?The object's capacity is another name for it. The charge every unit volume of a charged item is expressed as p, or volume charge density. You would require to know the sphere's volume and total charge in order to compute the cubic charge density of the sphere.
How can you determine volume by hand?The length, breadth, and height are multiplied by the volume formula. The good news for a cubic is that each of these measures has exactly the same measurement. The length of the any side can therefore be multiplied by three.
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a nuclear power plant generates 1 gwe at 37fficiency. water is piped into the facility at 10°c and is output from the facility at 32°c. determine the flow rate of the water in kg/s.
where T is the temperature change from 10°C to 32°C, q is the rate of heat transfer, m is the mass flow rate of water, c is the heat capacity of water, and m is the mass flow rate of water. The water flow rate in kg/s
The amount of fluid that passes through a pipe or container in one unit of time is referred to as the flow rate. It is often expressed in terms of volume per unit time, such as gallons per minute or cubic metres per second. The viscosity of the fluid, the pipe's diameter, the fluid's pressure, and the length of the pipe are some of the variables that might affect flow rate. In many applications, including water treatment, industrial operations, and energy generation, it is crucial to comprehend and manage flow rate. An improper flow rate can result in waste, inefficiencies, and even equipment
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A person on a road trip drives a car at different constant speeds over several legs of the trip. She drives for 10. 0 min at 50. 0 km/h, 19. 0 min at 100. 0 km/h, and 60. 0 min at 55. 0 km/h and spends 40. 0 min eating lunch and buying gas. What is the average speed for the entire trip (
The typical speed for the whole excursion is 83.24 km/h. To calculate the speed we have to calculate the distance and time.
To work out the normal speed of the whole excursion, you really want to decide the all out distance voyaged and partition that by the all out time spent driving.
Distance went at each speed:
a. 50.0 km/h for 10.0 min = 50.0 km/h * (10.0 min/60.0 min) = 8.33 km
b. 100.0 km/h for 19.0 min = 100.0 km/h * (19.0 min/60.0 min) = 31.67 km
c. 55.0 km/h for 60.0 min = 55.0 km/h * (60.0 min/60.0 min) = 55.0 km
Complete distance voyaged: 8.33 km + 31.67 km + 55.0 km = 95.0 km
Complete time spent driving: 10.0 min + 19.0 min + 60.0 min = 89.0 min
Normal speed: Complete distance voyaged/All out time spent driving = 95.0 km/(89.0 min/60.0 min) = 83.24 km/h
The units of speed and time should be reliable all through the estimation. For this situation, both speed and time are communicated in SI units (km/h and minutes, separately).
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why do we say that light is an electromagnetic wave? what is the relationship among wavelength, frequency, and speed for light?
We say that light is an electromagnetic wave because it is an oscillation of electric and magnetic fields. The relationship between wavelength, frequency and velocity of light is ν = c/λ.
What's in an Electromagnetic Wave?
When an electric field combines with a magnetic field, an electromagnetic wave is produced. The magnetic and electric fields of an electromagnetic wave are perpendicular to each other and perpendicular to the wave direction.
Light is also a combination of oscillating electric and magnetic fields perpendicular to each other, with wave propagation perpendicular to both fields. Because light is produced by accelerating charged particles (photons), according to the laws of electromagnetism, light is an electromagnetic wave.
Therefore, We say that light is an electromagnetic wave because it is an oscillation of electric and magnetic fields. The relationship (c) between wavelength, frequency and velocity of light is ν = c/λ.
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a device that automatically writes down changes in temperature, is called?
A device that automatically records temperature changes is called a thermograph. An instrument used to gauge heat or temperature is a thermometer. thermophile.
How does a temperature sensor on a thermostat function?A bulb is present, and it is either liquid or gaseous. This is found inside the sensing end of the probe. When the gas expands or the liquid heats up, the attached rod pushes the needle to the temperature being measured.
What controls the temperature automatically?When the temperature reaches a certain level, a temperature gauge will automatically control the temperature or activate a gadget. Hence, it has the ability to maintain a constant temperature in an oven or a water bath.
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in what way does the icf reflect a radical shift in the way practitioners view disability?
The ICF reflects a radical shift in the way practitioners view disability by moving away from a medical model of disability to a more holistic and person-centered approach. It recognizes that disability is a complex interaction between an individual's health condition, personal factors, and the environment and that the impact of a health condition on an individual's ability to participate in life activities cannot be understood in isolation.
The International Classification of Functioning, Disability and Health (ICF) is a framework for understanding the impact of health conditions on individuals and their ability to participate in life activities. The ICF represents a significant shift in the way practitioners view disability, as it moves away from a medical model of disability to a more holistic and person-centered approach.
Traditionally, disability was seen as a medical problem caused by a physical or mental impairment. This led to a focus on diagnosing and treating the underlying health condition, with the goal of reducing or eliminating the disability. This medical model of disability placed the individual with a health condition in the center and viewed their disability as a problem to be fixed.
The ICF, however, views disability as a complex interaction between an individual's health condition, personal factors, and the environment. It recognizes that disability is not just a result of a health condition but also a result of the individual's abilities and limitations in interacting with the environment. This means that disability is not just about the health condition but also about the social, cultural, and physical barriers that prevent the individual from participating in life activities.
The ICF takes a person-centered approach, where the focus is on the individual and their experiences, rather than just their health condition. It recognizes that the impact of a health condition on an individual's ability to participate in life activities is not just determined by the health condition itself, but also by the individual's personal factors, such as their age, education, and level of support, and the environment, such as the availability of accessible transportation and accommodations.
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The Rocky Mountains lie to the west of the Great Plains. If there were no Rocky Mountains, would the Great Plains exist? Yes, the Great Plains were formed from the sediments from the Mississippi River. Yes, the Rocky Mountains and the Great Plains are located on the different tectonic plates and were formed independently. No, the Rocky Mountains are former volcanoes that filled the area around them with magma to form the Great Plains. No, the Rocky Mountains are the source of the sediment that built the Great Plains
A) Yes, the Great Plains were formed from the sediments from the Mississippi River.
The rock of the Great Plains is sedimentary rock and the rock of the Rocky Mountains is igneous rock. They formed in different ways so they must not have formed together.
WHAT IS GREAT PLAINSThe Great Plains (Great American Desert) is a plain in North America that stretches from the Rocky Mountains, Canada to Mexico. It is bordered by the Rio Grande to the south, the Mackenzie River delta to the north, Canada to the east and the Rocky Mountains to the west.
This plain is a rocky, sandy area and is very short of water because it has a high evaporation rate. The Great Plains are about 3,000 miles (4,800 kilometers) long, 300–700 miles wide and about 1,125,000 square kilometers (2,900,000 square kilometers), about the equivalent of one third of the area of the United States.
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The enthalpy of formation of vacancies in pure copper is dh 1⁄4 86.9 kj mol 1. What is the fraction of sites vacant at 1084oc?
Enthalpy of formation of a substance is defined as the change in enthalpy when one mole of a substance is formed from its constituent elements in their standard states. In the case of vacancies in pure copper, the enthalpy of formation is given as 86.9 kJ/mol.
The fraction of sites vacant at a certain temperature can be determined using the Boltzmann distribution law, which states that the fraction of particles in a system with energy E is proportional to e^(-E/kT), where k is the Boltzmann constant and T is the temperature in kelvin.
To find the fraction of vacant sites, we need to calculate the energy required for a vacancy to form, which is given by the enthalpy of formation. We can then use this energy in the Boltzmann distribution equation to find the fraction of sites that are vacant at a given temperature.
At 1084°C, the temperature in kelvin can be calculated as 1084°C + 273.15 = 1357.15 K. Substituting this value and the enthalpy of formation into the Boltzmann distribution equation gives us the fraction of sites that are vacant.
However, this calculation is only a rough estimate and real systems are more complex. Factors such as the presence of impurities, lattice defects, and external influences can affect the fraction of vacant sites and cannot be accounted for by this simple calculation.
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consider the magnetic system of example 1.1. if the coil current is 4 amps when each air gap length is 1 mm, find the flux density in the air gap
The flux density in the air gap of the magnetic system from Example 1.1 can be calculated using the equation B = μ₀N/l, where μ₀ is the permeability of free space (4π × 10⁻⁷ H/m), N is the number of turns in the coil, and l is the length of the air gap.
Using this equation, the flux density in the air gap when the coil current is 4 amps and each air gap length is 1 mm is 0.1 Wb/m².
The flux density in an air gap is determined by the strength of the magnetic field and the size of the air gap. The magnetic field strength is determined by the number of turns in the coil , the current flowing through the coil, and the permeability of the material that the coil is wound around.
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How much does 68 kilograms weigh in pounds?
The fundamental unit of weight in the measuring units is the kilogram, or kilogramme. It is roughly equivalent to the weight of a water cube that is 10 centimeters in size.
What is the perfect weight for you?
Simply defined, having an optimum body weight means that you have a sleek, healthy physique and are not too thin (underweight) or even too huge (overweight). The best way to find this is to calculate your Bi, or body mass index.
How is a person's weight determined?
Throughout the world, body weight is expressed in kilos, a unit of mass, while in some nations, like the United States, it is measured by pounds or, as in the U.k., in stones and pounds. Even in the U.s, the majority of hospitals today use kilograms for
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Assume that "Relative Misalignment" is something you want to detect. The more misaligned the lines are, the "stronger" the stimulus intensity is. What method does this experiment employ (method of limits, adjustment, or constant stimuli)? Explain your choice in no more than 2 sentences
The method employed in this experiment is the method of limits.
The method of limits is a psychophysical technique in which the stimulus intensity is graduhttps://brainly.com/question/28500977?referrer=searchResultsally increased or decreased until the subject's response changes. In the case of the "Relative Misalignment" experiment, the stimulus intensity (the degree of misalignment) is gradually increased until the subject perceives a change in the strength of the stimulus. The method of limits is used to determine the threshold of perception, or the point at which the subject can detect a change in the stimulus. In this way, the method of limits can be used to measure the sensitivity of the subject's sensory system to changes in the stimulus.
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part h with what magnitude of velocity does it strike?
The velocity with which the sandbag strikes the ground is -28.44m/s (downward).
Given the initial velocity of balloon (u) = 5m/s
The height of balloon (h) = 40m
The acceleration is due to the gravity = g = 9.8m/s^2 acting downwards.
A sandbag is released from height h of the balloon.
The velocity of sandbag as it reaches the ground = v
We know that from Newtons laws of motion v = u + at
We know that the bag strikes the ground at y =0m,
then y = h + ut - 1/2gt^2
0 = 40 + 5t - 1/2 x 9.8 x t^2
t = 3.41s
As we know that v = u - gt
v = 5 - 9.8 x 3.41 = -28.44m/s
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complete question: A hot-air balloonist, rising vertically with a constant velocity of magnitude 5.00m/s releases a sandbag at an instant when the balloon is 40.0m above the ground. With what magnitude of velocity does it strike the ground?