The maximum vertical height hmax to which the ball will climb by the law of conservation of energy is, hmax = (1/2g)ν² cos θ
What is conservation of energy?
The law of conservation of energy states that the total amount of energy of an isolated system remain constant. Also for energy to be conserved, the sum of initial kinetic energy and the potential energy of the system is equal to the sum of final kinetic energy and the potential energy of the system. i.e.
Ki + Ui = Kj + Uj
where K represent Kinetic energy and U represents potential energy.
Since the ball is launched with initial speed v from ground level up a frictionless slope, it means the ball slides up the slope without rolling. The initial kinetic energy of the ball is given as:
Ki = 1/2mv²
The slope makes an angle θ with the horizontal. This means that velocity will be equal to zero in y-direction and velocity in x-direction is:
Ki = 1/2mv²cos θ
Potential energy of the max height is Uf = mghmax
The final potential energy the ball posses will be equal to the intial kinetic energy of it at the maximum height. Thus by the conservation of energy:
mghmax = 1/2mv²cos θ
hmax = 1/2gmv²cos θ
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all of the following are true of neutral hand position except the . a. palm of the hand is held in an open and relaxed position b. fingers apply light pressure against the instrument handle c. little finger side of the palm is rotated slightly downward d. index finger and thumb are flattened against the handle
The correct answer is option D: index finger and thumb are flattened against the handle
All of the following are true of neutral hand position except the index finger and thumb are flattened against the handle.
When the wrist is straight or lightly bent then it is said to be in a neutral position.
Our neutral hand position refers to the palm of the hand being held in an open and relaxed position.
Similarly, the hand will be in a neutral position if the fingers apply light pressure against the instrument handle.
Another example is if we hold a glass full of water, then we will see that our thumb and forearm are aligned with respect to each other.
In the above-mentioned case, the hand will be in a neutral position.
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If I throw a ball off of a 1,000m cliff, how long will it take to hit the ground?
The time taken by the ball to hit the ground will be 14.28 seconds.
Using Newton’s laws of motion, we have
H= (1/2)gt^2. Using H= 1000m
1000= (1/2) x 9.8 x t^2
Hence, t= square root of 2000/9.8 = 14.28 seconds (approx.)
What is gravity?The force that pulls items toward the center of a planet or other entity is called gravity. All of the planets are kept in orbit around the sun by gravity.
The acceleration of gravity near Earth's surface is approximately 9.81 m/s2 (32.2 ft/s2) when air resistance is disregarded, which means that the rate of an object falling freely will increase by 9.81 m (32.2 ft) per second each second.
The gravity is zero at infinite height.
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a person uses the energy equivalent of 50 bbl of crude oil in one year. what is that person's average power consumption in kilo watts? 1 bbl of crude oil has the energy content 6.12×10^9 j.
The person's average power when he uses an energy equivalent to 50 bbl of crude oil in one year is 3.49×10⁴ kW.
What is average power?Average power can be defined as the total work performed to the total time it takes to perform the work.
To calculate the average power consumption of the person, we use the formula below.
Formula:
P = E/t............ Equation 1
Where:
P = Average powerE = Total energyt = TimeFrom the question,Given:
E = 50×6.12×10⁹ J = 3.06×10¹¹ J
t = 1 year = (365×24) days = 8760 seconds
Substitute these values into equation 1P = 3.06×10¹¹/8760
P = 3.49×10⁴ kW
Hence, the average power is 3.49×10⁴ kW.
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the body travels the first half of the road at an average speed of 5 km/h. he does the second half at an average speed of 8km/h. find its average speed.
The average speed of a body traveling on a road is 6.5 km/h.
What does "average speed" refer to?What speed is typical? The total distance something has traveled is divided by the total amount of time it took to traverse that distance to arrive at its average speed. Speed is the current rate of movement of something. Average speed refers to the pace that a vehicle travels at on average throughout a trip.
What is the average speed measured in?Meter per second is the S.I. unit of speed. In km/h, speed is also expressed.
Average Speed is calculated as Total Distance x Total Time.
The average speed of a body traveling on a road is 6.5 km/h.
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a carnot engine absorbs 52 kj as heat and exhausts 36 kj as heat in each cycle. calculate (a) the engine’s efficiency and (b) the work done per cycle in kilojoules.
The engine's efficiency of the carnot engine is 31%.
The work done per cycle in kilojoules is 16kj.
Using the data supplied above,
Heat absorbed by the engine = 52 kJ
Heat exhausted by the engine in each cycle = 36 kJ
We need to find the efficiency of the engine. It is calculated by the formula.
η = 1 - output/input
Where,
η = Heat Engine Efficiency
Output = 36
Input = 52
η = 36/52
η = 1 - 0.69
η = 0.31
Convert to percentage
η = 31%
b) The work done per cycle in kilojoules
To find the work done per cycle:
W = heat extracted - heat exhausted
W = 52 -36
W = 16
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3. Over which of the following time intervals is
the acceleration of the object the greatest?
A. 0 s to 1 s
B. 1 s to 2 s
C. 2 s to 3 s
D. 4 s to 5 s
Answer:
A. 0s to 1s
Explanation:
ok bro hav a nise dey
the speed of light is . how far does light travel in ? set the math up. but don't do any of it. just leave your answer as a math expression. also, be sure your answer includes all the correct unit symbols.
Using speed and distance relation, It take the speed of 299 m to travel 30 cm .
What is speed ?speed is the rate at where someone or something moves is able to operate.
Let us convert cm to m for distance
C = 2.998× 10^8 ms
The relationship between distance, speed, and time is
T =1 ×10^6/8
Because in this case you are being asked how long or time it takes, make it the subject.
Rounding the quotient produces.
Adjust it again to fit the scientific notation.
The result is -
d= c×t
d=2.998×10^8 m/s 10^6 m/s
d=2.998
As a mathematical expression, the time taken for light is 2.998
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a truck moves northeast covering 4 kilometer and then turns northwest covering 3 kilomètres. calculate the magnitude and direction of these journey.
The magnitude is 5km and the direction of the truck is 53.13° from his starting point to current position.
What is the term magnitude?The maximum size and direction of an object are referred to as the object's magnitude in physics. Vector and scalar quantities both use magnitude as a common denominator.
Scalar quantities are understood to be those that have only magnitude, according to their definition. Vector quantities, on the other hand, are those that have both magnitude and direction.
A truck moves northeast covering 4 kilometre and then turns northwest covering 3 kilometres which makes the turn a 90°
Let the magnitude of displacement be c then
⇒ c² = a² + b² (Pythagoras theorem)
⇒ c = √(a² + b²)
= √(4² + 3²)
= √(25)
= 5 km
The magnitude is 5km
The direction of the truck will be given by
⇒ tan⁻¹(a/b)
⇒ tan⁻¹(4/3) = 53.13°
Thus, The direction of the truck is 53.13° from his starting point to current position
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A bullet of mass 0.03 kg is fired from a rifle of mass 2kg,
which recoils with a velocity of 25.5m/s.
What is the velocity of the bullet?
Explanation:
equating the formula for the bullet and riffle
all falling objects experience some air resistance, the effect of which is to decrease acceleration. when the falling object's acceleration reaches zero, the acceleration stops changing. therefore, if you drop an object and it falls far enough for this to happen,
The object's speed reaches a maximum value and stays there if you drop it and it falls far enough for this to occur.
The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time or the size of the change in that object's position per unit of time. An object's average speed during a period of time is calculated by dividing its distance traveled by the length of the interval, the instantaneous speed is the maximum possible speed as the interval's duration gets closer to zero. Velocity and speed are different concepts.
Distance divided by time is the dimension of speed. Although the meter per second (m/s), the SI measure of speed, is the most often used unit of speed.
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which car has a westward acceleration? a. a car moving west at constant speed. b. a car moving east and speeding up. c. a car moving east and slowing down. d. a car moving west and slowing down
C. If a car has a westward acceleration, the car moving east and slowing down.
What is westward acceleration?
Westward acceleration is the acceleration of an object directed towards the west of the object's motion.
The acceleration of an object is defined as the change in the velocity of an object with time.
Mathematically, the acceleration of an object is given as;
a = Δv/Δt
where;
Δv is change in velocity of the objectΔt is change in time of motion of the objecta = (v - u) /t
where;
v is the final velocityu is the initial velocityWhen the car is slowing down, it implies that the final velocity is smaller compared to the initial velocity.
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Substances that move to the stronger parts of a magnetic field are termed ______ substances; the atomic feature responsible for this property is ______ in atoms.
Substances that move to the stronger parts of a magnetic field are termed paramagnetic substances; the atomic feature responsible for this property is presence of unpaired electrons in atoms.
What is a paramagnetic substance?A paramagnetic substance is the substance that possess unpaired electrons that are heavily attracted in a magnetic field.
A magnetic field is defined as the field that exists around a magnet that produces a field of force.
Examples of paramagnetic substance include the following:
aluminum, gold, copper.Chromium, andManganese.These substances are known as paramagnetic substances because they possess a high number of unpaired electrons.
Other properties of a paramagnetic substance include the following:
They have a permanent dipole moment or permanent magnetic moment.They are weakly magnetized in the direction of the magnetizing field.They usually have constant relative permeability (μr) slightly greater than 1.Therefore, Substances that move to the stronger parts of a magnetic field are termed paramagnetic substances; the atomic feature responsible for this property is presence of unpaired electrons in atoms.
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a beam of white light is focused on a wafer of a semiconductor. nothing is detected coming through the other side. which semiconductor(s) could it be, and why?
It would be a diode, also called a rectifier. It's used in electronic circuits to control the flow of current between two points.
Individual electronic parts, such as resistors, transistors, capacitors, inductors, and diodes, are connected by conductive wires or traces that allow electric current to pass through them to form an electronic circuit. It is a particular kind of electrical circuit, and typically at least one active component is required for it to be called an electronic circuits as opposed to an electrical one. Signals may be amplified, calculations can be made, and data can be sent from one location to another thanks to the combination of components and connections.
Typically, an electronic circuits can be classed as an analogue, digital, or mixed-signal circuit within rectifiers. The MOSFET is the semiconductor component utilised in electronic circuits the most (metal-oxide-semiconductor field-effect transistor).
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a metal sphere is half-filled with ammonia as part of a refrigeration device. if the radius of the sphere is 0.5 m, and the density of ammonia is 0.86 kg/m3, what is the mass of the ammonia?
The mass of the ammonia is equal to 0.215 kilograms.
How to calculate the mass of ammonia?First of all, we would have to determine the volume of the metal sphere which is half-filled with ammonia. Mathematically, the volume of a sphere can be calculated by using this formula:
Volume = 4/3 × πr³
Where:
r represents the radius.
Substituting the given parameters into the formula, we have;
Volume of metal sphere = 4/3 × 3 × 0.5³
Volume of metal sphere = 4/3 × 3 × 0.125
Volume of metal sphere = 4 × 0.125
Volume of metal sphere = 0.5 cubic meter.
For the volume of ammonia, we have:
Volume of ammonia = 0.5/2
Volume of ammonia = 0.25 cubic meter.
Mathematically, the mass of a substance can be calculated by using this formula:
Mass = Density × Volume
Mass = 0.86 × 0.25
Mass = 0.215 kilograms.
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Determine whether each statement describes a solid, liquid, or gas
Answer:
1.solid
2.gas
3.liquid
4.liquid and gas
5.gas
6.liquid
7.gas
8.liquid and gas
a gm corvette travels due east with a speed of 122 km/hour. the raindrops fall down vertically with respect to the earth. if the raindrops make an angle of 35.00 with the vertical of the car, what is the velocity of the rain with respect to the earth?
The rain's speed relative to the car is Vrc = 89.28 km/h.
Equation :Given that the car is moving eastward and that raindrops are falling vertically with respect to the Earth at a constant speed,
Let us consider the x-axis in the East and n-axis in the vertically upward direction. Now the x component of the car velocity relative to the earth is
Vceₓ = 122 km/h
Vceₓ = 33.89 m/s
n component of the car velocity relative to the earth is
Vceₙ = 0 m/s
x component of the raindrops velocity relative to the earth is
Vreₓ = 0 cos45°m/s
Vreₓ = - 3.68 m/s
n component of the raindrops velocity relative to the earth is
Vreₙ = ?
calculate the drop's velocity in relation to the earth
tanθ = Vreₙ / Vreₓ
Vreₙ = Vreₓ x tanθ
Vreₙ = 33.89 m/s x tan60°
Vreₙ = 58.69 m/s
Vreₙ = -211.28 km/h
And hence, the rain's speed relative to the car is
Vrc = Vce + Vre
Vrc = 122km/h - 211.28 km/h
Vrc = 89.28 km/h
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specifications require the oil filter for your car to be tightened with a torque of 30 n⋅m. you are using a 15-cm-long oil filter wrench, and you apply a force at the very end of the wrench in the direction that produces maximum torque. part a how much force should you apply?
The oil filter for our car to be tightened with a torque of 30 n⋅m. we are using a 15-cm-long oil filter wrench, and we apply a force at the very end of the wrench in the direction that produces maximum torque is 200N.
What is a force?A force is an effect that can alter an object's motion according to the physics. A force can cause object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe the force is as a push or a pull. A force is a vector quantity since it has both the magnitude and direction. It is calculated using newton SI unit (N). Force is denoted by the letter F. (formerly P).
The net force acting on an object is equal to rate at which its momentum varies over time, according to Newton's second law in its original formulation. This law suggests that object's acceleration is directly proportional to the net force acting on it, is in the direction of the net force, and is inversely proportional to the mass of the object if the object's mass is constant.
Thrust, which increases an object's velocity; drag, which decreases an object's velocity; and torque, which causes the changes in an object's rotational speed, are all concepts connected to force. Each part of an extended body often exerts the stresses on the sections that are nearby; the distribution of these forces throughout the body is what is known as the internal mechanical stress. Due to the balance of forces, such internal mechanical stresses do not generate acceleration of that body. Pressure is a straightforward form of the stress that, if unbalanced, can cause the body to accelerate. Pressure is distribution of several small forces applied over an area of a body. Stress typically results in flow of fluids or the deformation of solid materials.
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The nebular hypothesis describes what happens when a cloud collapses into a star system. Where does the majority of the angular momentum of the original cloud go?.
The nebular hypothesis describes that when a cloud collapses into a star system a new star is forming inside this glowing cloud of gas.
What do you mean by nebular hypothesis?
The nebular theory proposes that a rotating cloud of material called a nebula, composed primarily of light components, flattened into a protoplanetary disc and developed into a solar system made up of a star and circling planets.
The Sun originated independently from a collapsing cloud of gas and dust, and as the planets passed by it later, they were gravitationally pulled in.
Individual stars and their planets develop from the revolving clouds' flattening into protostellar discs.
Most of the angular momentum is transmitted into the residual accretion disc through an unidentified mechanism that is thought to be related to the powerful magnetic fields associated with a newborn star.
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A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110.0 m.
Determine the acceleration of the car.
Answer: a = 8.10 m/s^2
Explanation:
The car starts at rest, so:
V0= 0m/s
t= 5.21m/s
S = 110.0 m
Using one of the five uniformly accelerated motion formulas
S= V0t + 1/2 at^2
but V0 = 0 m/s
S = 1/2 at^2
a= 2S/ t^2
a = 2(110m)/ (5.21 s)^2
a = 8.10 m/s^2
On turning a corner, a motorist rushing at 44 ms-1 finds a child on the road 100 m ahead. He instantly stops the engine and applies the brakes so as to stop it within 1 m of the child. Calculate time required to stop it.
Answer:
He instantly stops the engine and applies the brakes so as to stop it within 1 m of the child. Calculate time required to stop it. (Ans. 4.5 s]
starting from the sum (3.31) and replacing it by the appropriate integral, find the moment of inertia of a uniform thin square of side 2b, rotating about an axis perpendicular to the square and passing through its center.
The electron binding energy for gold essence is. find the longest wavelength( in) of light that could eject electrons from gold in a photoelectric effect trial.
Electron
The electron is a subatomic flyspeck( denoted by the symbol whose electric charge is negative one abecedarian charge. Electrons belong to the first generation of the lepton flyspeck family, and are generally allowed to be abecedarian patches because they've no given factors or substructure. The electron's mass is roughly 1/ 1836th that of the proton.
Quantum mechanical parcels of the electron include an natural angular instigation( spin) of a half- integer value, expressed in units of the reduced Planck constant, ħ. Being fermions, no two electrons can enthrall the same amount state, in agreement with the Pauli rejection principle. Like all abecedarian patches, electrons parade parcels of both patches and swells They can collide with other patches and can be diffracted like light. The surge parcels of electrons are easier to observe with trials than those of other patches like neutrons and protons because electrons have a lower mass and hence a longer de Broglie wavelength for a given energy.
Electrons play an essential part in multitudinous physical marvels, similar as electricity, captivation, chemistry and thermal conductivity, and they also share in gravitational, electromagnetic and weak relations. Since an electron has charge, it has a girding electric field, and if that electron is moving relative to an bystander, said bystander will observe it to induce a glamorous field.
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as part of your daily workout, you lie on your back and push with your feet against a platform attached to two stiff ideal springs arranged side by side so that they are parallel to each other. when you push the platform, you compress the springs. you do 70.0 jj of work when you compress the springs 0.180 mm from their uncompressed length.
The spring constant of Hooke's Law is 2160 MN/m.
We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as
F = k . x
where F is force, k is spring constant and x is displacement.
The potential energy of spring can be determined as
PE = 1/2 . k . x²
where PE is potential energy
From the question above, we know that
PE = 70 J
x = 0.18 mm = 0.00018 m
By substituting the given parameters, we can calculate the total paralel spring constant
PE = 1/2 . k . x²
70 = 1/2 . kp . 0.00018²
kp = 4320987654 N/m
Find each spring constant
kp = k + k
4320987654 = 2k
k = 2160 MN/m
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a sled (mass 500 kg) is pulled across a stone floor with a coefficient of kinetic friction of 1.7. the rope that is used to pull it is at an angle $\alpha$ of 55 degrees with the horizontal. when the sled moves at a constant velocity (i.e., no acceleration), the normal force that the floor exerts on the sled is ...
The normal force that the floor exerts on the sled is 7557 N when is pulled across a stone floor with a coefficient of kinetic friction of 1.7.
What is kinetic friction and how the normal force is calculated to be so?Friction, is a very well-known word in our daily lives, though putting it a little more officially it is the force due which any vehicle, man, or something grips the floor.Friction is of two types kinetic and static, static friction is the friction that opposes the motion and kinetic friction is the friction that regulates the motion.Here using the formula F = - Uk mg/cos θ - Uksin θ
= -1.7 x 500 x 10/ cos55° - 1.7 sin 55°
= 7557 N
The normal force of 7557 Newton is exerted on the floor by the sled.
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to measure the speed of a current, scientists place a paddle wheel in the stream and observe the rate at which it rotates. if the paddle wheel has radius 0.40 m and rotates at 100 rpm, find the speed of the current in m/s.
The speed of the current in m/s for a paddle wheel with a radius 0.40m and rotates at 100rpm is 41.88.
The linear velocity v and angular velocity w (in radians per unit time) are related by:
where r is the radius.
First, we convert the angular velocity to rad/s:
w = 100rev/100 * 2πrad/1rev * 1min/60s = (100π/3) rad/s
Substitute r = 0.40m and w = (100π/3) rad/s
v = 0.40 (100π/3)
v = 41.88/s
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14) A race car accelerates from rest to a velocity of 41 m/s in 480 m. What is the acceleration of the race car?
Answer:
Explanation:
V₀ = 0 m/s
V = 41 m/s
S = 480 m
___________
a - ?
Distance traveled:
S = (V² - V₀²) / (2*a)
Acceleration :
a = (V² - V₀²) / (2*S)
a = (41² - 0²) / (2*480) = 1.75 m/s²
a piston-cylinder assembly contains water and is being heated on top of a range. during the process, 65 btu of heat is transferred to the water, and heat losses from the side walls amount to 8 btu. the piston rises as a result of evaporation, and 5 btu of work is done by the vapor. determine the change in the energy of the water for this process.
The change in the energy of the water in the process is 52Btu, when 65 btu of heat is transferred to the water and heat losses from side walls.
What is change in energy and heat and how the change in energy is calculated out to be 52 Btu?Energy is the quantity which represents the product of power and time, with release of considerable amount of heat.Change in energy is the change in the energies of the components involved in the equation.Here , we will use the equation , del U = del Q + del W , substituTing the values , 57 Btu for del Q and -5Btu for del W.Del U = 57Btu - 5Btu = 52Btu , hence the change in the energy is calculated for a piston- cylinder assembly containing water and is heated.To know more about energy visit:
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After looking at sound waves in this way, why do you think people prefer to view sound waves transverse waves rather than
longitudinal?
If a wave is longitudinal that means that it is travelling in the exact same direction, at the exact same angle as the medium in which it is propagating. You can think of it like a stretched out slinky. If you push the slinky forward a little and then pull it back to its original position, a wave travels in the direction of the slinky's coils. Sound waves are just like that but the medium is all the particles that constitute air.
A force of 20 N is applied to extend a horizontal spring by 5 cm. What is the spring constant?
a. 0.25 N/cm
b. 25 N/cm
c. 100 N/cm
d. 4 N/cm
A force of 20 N is applied to increase the horizontal spring by 5 cm: 4N/cm.
This is explained :Given a series spring: F = 20 N x = 0,5m
Using Hooke's Law: F = good x well=Fx=20/zero.
In physics, force is a force that can change the motion of an object. A force can cause an object with mass to speed up or accelerate. Pressure can also be defined intuitively as pushing or pulling.
Force is a vector quantity because it has both a value and a path. In technical know-how, the word "strength" has a special meaning. At this level, it is quite appropriate to describe pressure as pushing or pulling. Pressure does not always consist of or "have" objects. Pressure is applied to one element by one another. The concept of force is not always limited to living or inanimate objects.
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A Van De Graaf generator is an electrostatic generator and may collect a large enough charge to produce
a(n) _____.
electric current
electric field
electrostatic induction
coulomb of electricity
A Van De Graaf generator is an electrostatic generator and may collect a large enough charge to produce an electric current. Option A.
A Van de Graaff generator is an electrostatic generator that uses a moving belt to store charge in hollow metal spheres on insulating posts, producing very high potentials. Produces direct current (DC) at low currents and very high voltages.
Van de Graaff generator the motor turns silicone rollers to move rubber bands. As the belt moves, electrons are transferred from the rubber belt to the silicone roller charging the belt positively and the roller negatively. Van de Graaff generators extract electrons from the Earth move them along belts and store them in large spheres. These electrons repel each other and try to separate as much as possible by spreading over the surface of the sphere.
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1. A scientist wants to test the sleeping effects of a mild animal tranquilizer on two of his
pet rats. He decides that he will put them in two cages of the same size and shape and
place them in the same area of his lab for 24 hrs. He decides that he is going to turn the
lights on at 5am and turn the lights of at 8pm each day. He feeds both rats lunch each day
at noon and chops up 5mg of animal tranquilizer into their food. He notes that at about 5pm
both rats fall asleep and wake up at about 5am the following day. He continues this
procedure for 15 days and notes the same pattern each day. He concludes that his study
shows that the animal tranquilizer will cause all animals to fall asleep at 5pm for a total of
12 hrs.
Did this experiment give accurate results? Why or why not?
The experiment is not accurate since the both rats get the tranquilizer and there is no control setting.
What is an experiment?The quest for data and information is what would cause a scientist to perform an experiment. We know that an experiment is one that an experiment is one that we have to find the effect of the independent variable on the dependent variable.
In this case, the independent variable is the administration of the dose of the drug while the dependent variable is the number of hours that the pet rats are made to sleep.
Let us note that an experiment ought to have a control setting. The control setting of the experiment is what would serve to validate the experiment as we know. We can see that this experiment does not have a control setting therefore it is not accurate. This experiment would need to be reviewed a control setting should be added.
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