Answer:
33.23 m
Explanation:
At the point where both objects will meet, the vertical height will be equal.
From the equations of motion, the vertical height of the body falling at any time is given as
(y - y₀) = ut + ½gt²
y = vertical height at any time T
y₀ = initial height of the object = 81.5 m
u = initial velocity = 0 m/s (body was dropped)
g = -9.8 m/s²
(y - 81.5) = 0 - 4.9T²
y = 81.5 - 4.9T² (eqn 1)
For an object thrown up, the vertical height of the body at any time, t, is given as
(y - y₀) = ut + ½gt²
y = vertical height of the object at any time t
y₀ = initial height of the object = 0 m
u = initial velocity = 40 m/s
g = -9.8 m/s²
y = 40t - 4.9t² (eqn 2)
At the point where the two objects meet, we equate eqn 1 and eqn 2
y = y
81.5 - 4.9T² = 40t - 4.9t²
But T = (t + 2.2) (Since object 2 was dropped 2.2 s after object 1)
81.5 - 4.9(t + 2.2)² = 40t - 4.9t²
81.5 - 4.9(t² + 4.4t + 4.84) = 40t - 4.9t²
81.5 - 4.9t² - 21.56t - 23.716 = 40t - 4.9t²
81.5 - 21.56t - 23.716 - 40t = 0
57.784 = 61.56t
t = (57.784/61.56) = 0.93866 = 0.94 s
Therefore, the vertical height at t = 0.93866 s is
y = (40×0.93866) - 4.9(0.93866²) = 33.23 m
Hope this Helps!!!
The maximum range of projectle is R° if projected at angle of 45°. It'll be 300% of Range of projectile if projected at angle? a) 30° b) 45° c) 60° d) 76° Correct answer with good explanation
Answer:
The maximum range is 300% of the range of the projectile is projected at an angle of 9.74°.
None of the options are correct.
Explanation:
Normally, ignoring air resistance, for projectile motion, the range (horizontal distance travelled) of the motion is given as
R = (u² sin 2θ)/g
where
u = initial velocity of the projectile
θ = angle above the horizontal at which the projectile was launched
g = acceleration due to gravity = 9.8 m/s²
The range is maximum when θ = 45°
R when θ = 45° is
R = (u² sin 90°)/g = (u²/g)
We are then told that this maximum range is 300% of the value obtainable for the range at a particular angle
Maximum range = 3R
(u²/g) = 3(u² sin 2θ)/g
Sin 2θ = (1/3)
2θ = sin⁻¹ (1/3) = 19.47°
θ = (19.47°/2) = 9.74°
Hope this Helps!!!
If a 12 V battery is connected to a light bulb with a resistance of 2 ohms, how much current will flow through the light bulb?
Group of answer choices
A. 24 Watts
B. 0.5 amps
C. 6 amps
D. 6 ohms
Answer:
6amp
Explanation:
From Ohm's Law
V = IR
Where V = 12volts, R = 2ohms
12volts = I × 2ohms
I = 12/2
I = 6amp
The current flowing through the light bulb is 6amp
ASSIGNMENT
1. A resistance of 6ohms is connected in series with another of 3ohms. If a potential difference of 9V is applied across the combination, what is the p.d. across the 6ohms resistance.
Answer:
Equivalent resistance in series = 6 + 3 = 9 ohms
Current = V/R (ohm's law)
Current = 9/9 = 1 A
P.D. across 6 ohms = IR (ohm's law)
= 1A × 6Ω = 6V
2. An 85.0 kg cart is rolling along a level road at 9.00 m/s. The cart encounters a hill and coasts up the hill. a) Assuming the movement is frictionless, at what vertical height will the cart come to rest? b) Do you need to know the mass of the cart to solve this problem?
The height attained is 4.13 m and we do not need to know the mass of the cart to solve the question.
Mechanical energyThe term mechanical energy refers to energy possessed by a body by virtue of its position or its state of motion. There are two kinds of mechanical energy which are;
Potential energyKinetic energyFor the question, kinetic energy is equal to potential energy hence;
mgh = 1/2 mv^2
We can cancel out m on both sides such that
gh =1/2v^2
h = 0.5v^2/g
h = 0.5(9)^2/9.8
h =4.13 m
We do not need to know the mass of the cart to solve the problem.
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Two similar metal spheres, A and B, have charges of +2.0 x10 –6 coulomb and +1.0 x10 –6 coulomb, respectively, as shown in the diagram below. What is the charge on each sphere after the spheres make contact and are then separated?
Answer:
+1.5×10^-6C
................
Find the correct statement
The disturbance created by a source of sound in the medium do not travels through the medium but the particles of the medium does.
The disturbance created by a source of sound in the medium travels through the medium and not the particles of the medium
The particles and the disturbance created by a source of sound in the medium do not travels through the medium
The disturbance created by a source of sound in the medium travels through the medium along with the particles of the medium
Answer:The disturbance created by a source of sound in the medium travels through the medium and not the particles of the medium
Explanation:i hope this is right
In which direction does the magnetic field in the center of the coil point ?
Answer:
Answer:
from right
Explanation:
right
Answer:
Left
Explanation:
Finger Grasp Process thingy
You push a block to the top of an inclined plane. The mechanical advantage of the plane is 5. The inclined plane is 10 meters long. What is the height of the inclined plane?
0.5 m
2 m
50 m
10 m
Answer:
Height of the inclined plane = 2 m
Explanation:
Given:
Mechanical advantage of the plane = 5 m
Inclined plane = 10 meters
Find:
Height of the inclined plane = ?
Computation:
⇒ Height of the inclined plane = Inclined plane / Mechanical advantage of the plane
⇒ Height of the inclined plane = 10 m / 5 m
⇒ Height of the inclined plane = 2 m
How does increasing the prong angle affect the launch angle and initial speed of the projectile?
Answer:
48.41 m/s
Explanation:
Why are car radiators painted black?
Answer:
To absorb heat
Explanation:
A black color is said to absorb much heat . This helps in cooling the engine as the radiator has absorbed the heat efficiently .
Additional Information:
A black object absorbs all wavelengths of light and reflects non , that is why it appears black .The more light an object absorbs , the more heat it absorbs .A way of showing how energy moves through an ecosystem _________
Explanation:
Plants, as a autotrophs have chlorophyll to capture light energy from sun to make starch and sugar. Then, consumers eat plants, and the sugar is transferred to higher trophic level in a form of organic food. Nevertheless, energy is lost by uneaten food, indigestible food, unabsorbed food, excretory waste (eg co2) and heat loss by respiration.
Answer:
The Food Chain
Explanation:
The food chain is conducted of a web connected to three classifications. Each transfering energy to one a other when nutrients and living matter is passed from producers (one class) to consumers (another class), and is broken down by the decomposers (third class) lastly.
When the energy stored in the object is released it will turn into —————— energy.
Please fill in the blank.
Please someone answer this!! It’s my second time posting it!!!
Answer:
kinetic energy
Explanation:
Potential energy is stored energy.Kinetic energy is energy that a body possess as a result of its motion.
Gravitational potential energy is the energy stored in an object as the result of its height. The energy is stored as the result of the gravitational attraction of the Earth for the object
Se debe usar una rampa de 5 m para elevar muebles que pesen 490 N hasta una plataforma a una altura de 2 m. Su propuesta de que la eficiencia de la rampa es del 100%, ¿cuál debe ser la fuerza requerida para levantar cada mueble en la rampa?
Answer:
F = 180 N
Explanation:
To find the required force you first calculate the angle of the ramp, by using the following relation:
[tex]sin\theta=\frac{2m}{5m}=0.4\\\\\theta=sin^{-1}(0.4)=23.57\°[/tex]
Next, you use the Newton second law to know what is the x component (in a rotated coordinate system) of the gravitational force:
[tex]F_x=mgsin\theta[/tex]
the required force must be, at least, the last force Fx. You know that the weight of the object is 490N = mg. Hence, you have:
[tex]F=F_x=(450N)sin(23.57\°)=180N[/tex]
the required force is 180N
- - - - - - - - - - - - - - - - - - - - - - - -
TRANSLATION:
Para encontrar la fuerza requerida, primero calcule el ángulo de la rampa, utilizando la siguiente relación:
Luego, usa la segunda ley de Newton para saber cuál es el componente x (en un sistema de coordenadas girado) de la fuerza gravitacional:
la fuerza requerida debe ser, al menos, la última fuerza Fx. Sabes que el peso del objeto es 490N = mg. Por lo tanto, tienes:
How do satellites stay in orbit?
Answer:A satellite maintains its orbit by balancing two factors its velocity the speed it takes to travel in a straight line and the gravitational pull that Earth has on it. A satellite orbiting closer to the Earth requires more velocity to resist the stronger gravitational pull.
Explanation:
Answer: The earth's gravity keeps it in orbit. The satellite's velocity keeps it moving.
What is the electrical force of two punctiform electrical charges of 3ųC and 4ųC respectively at a distance of 10 cm in a vacuum
Answer:
Electrical force, F = 10.8 N
Explanation:
We have,
Charge 1, [tex]q_1=3\ \mu C=3\times 10^{-6}\ C[/tex]
Charge 2, [tex]q_2=4\ \mu C=4\times 10^{-6}\ C[/tex]
Distance between charges is 10 cm or 0.1 m
It is required find the electric force between two charges. The formula used to find the electrical force is given by :
[tex]F=\dfrac{kq_1q_2}{r^2}[/tex]
k is electrostatic constant
Plugging all the values we get :
[tex]F=\dfrac{9\times 10^{9}\times 3\times 10^{-6}\times 4\times 10^{-6}}{(0.1)^2}\\\\F=10.8\ N[/tex]
So, the electrical force between charges is 10.8 N.
How do we determine the age of rocks and other geologic features?
Answer:To establish the age of a rock or a fossil, researchers use some type of clock to determine the date it was formed. Geologists commonly use radiometric dating methods, based on the natural radioactive decay of certain elements such as potassium and carbon, as reliable clocks to date ancient events.
Explanation:
In 1825, French scientist François-Vincent Raspail became the first scientist to observe that every cell is produced through cell division. How is cell division different in single-celled organisms than in multi-celled organisms? A. Single-celled organisms duplicate their genetic material twice during cell division. B. Cytokinesis divides single-celled organisms into three daughter cells. C. There is no metaphase for single-celled organisms. D. Cell division results in reproduction in single-celled organisms.
Answer: A.
Single-celled organisms duplicate their genetic material twice during cell division
Explanation:
All multicellular organisms use cell division for growth and the maintenance and repair of cells and tissues. Single-celled organisms use cell division as their method of reproduction. Somatic cells contain two copies of each of their chromosomes (one copy from each parent).
Answer:
Cell division results in reproduction in single-celled organisms. The correct option is D.
Explanation:
Single celled organism which are equally known as unicellular organisms are organisms which are made up of one cell. Due to the simplicity of the structure of these organisms, reproduction can be achieved through cell division.
Multicellular organisms as the name implies is made up of multiple cells,unlike unicellular organisms, which are to varying degrees integrated and independent.
Every cell is produced through cell division.
Cell division results to reproduction in single-celled organisms while cell division aids in the formation of gametes, which are cells that combine with others to form sexually produced offspring. It is also responsible for the development of a multi-celled organism from a single fertilised egg cell.
A spring is 14cm long. Three masses are hung from it and then it is measured again. Now it is 19.5cm long. What force did the three masses provide? The spring constant for the spring is 30N/m.
Answer:
Gravity
Explanation:
The answer is gravity because when the 3 masses were hung from the spring, gravity pulled the spring towards the ground.
You decide to work at a heart rate of 150 instead of 120. What area of F.I.T.T. did you change?
Key concepts
Heart rate
Exercising
The heart
Cardiovascular system
Health
Introduction
As Valentine's Day approaches, we're increasingly confronted with "artistic" images of the heart. Real hearts hardly resemble to two-lobed shapes adorning cards and candy boxes this time of year. And the actual shape of the human heart is important for its function of supplying blood to the entire body. You have likely noticed that your heart beats more quickly when you exercise. But have you ever taken the time to observe how long it takes to return to its normal rate after you're done exercising? In this science activity you'll get to do some exercises to explore your own heart-rate recovery time.
Background
Your heart is continuously beating to keep blood circulating throughout your body. Its rate changes depending on your activity level; it is lower while you are asleep and at rest and higher while you exercise—to supply your muscles with enough freshly oxygenated blood to keep the functioning at a high level. Because your heart is also a muscle, exercise, in turn, helps keep it healthy. The American Heart Association recommends that a person does exercise that is vigorous enough to raise their heart rate to their target heart-rate zone—50 percent to 85 percent of their maximum heart rate, which is 220 beats per minute (bpm) minus their age for adults—for at least 30 minutes on most days, or about 150 minutes a week in total. So for a 20-year-old, the maximum heart rate would be 200 bpm, with a target heart-rate zone of 100 to 170 bpm. (For those 19 or younger, target zones can vary more than they do for adults.)
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What happens to the induced electric current if the number of loops is increased from one to three?
A. It stays the same.
B. It doubles in magnitude.
C. It triples in magnitude.
D. It decreases by a factor of three.
E. It decreases by a factor of two.
Answer:
C. It triples in magnitude (PLATO)
When the induced electric current, if the number of loops is increased from one to three, it triples in magnitude. The correct option is C.
What is induced electric current?A shifting magnetic field causes an induced current. An induced emf accompanies the induced current. Without a battery in the circuit, a current can be generated.
The induced emf can be described using Faraday's law of induction. Induction is the method of creating current in a conductor by exposing the conductor to a shifting magnetic field.
Since there is no actual physical link between the conductor and the magnet, this phenomenon is known as induction. The magnetic field is said to induce the current in the conductor.
Therefore, the correct option is C. It triples in magnitude.
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The distance that sound waves travel in a given amount of time
is the
of sound.
Answer:
Speed of Sound
Explanation:
what is the definition of the speed of sound?
The speed of sound can be defined as the distance that sound waves travel in a given amount of time
Sound travels at different speeds depending on what it is traveling through. Of the three mediums (gas, liquid, and solid) sound waves travel the slowest through gases, faster through liquids, and fastest through solids.
The speed of sound in dry air is 343 meters per second.
A ray of light strikes a plane mirror at an angle of incidence 35°. If the mirror is rotated through 10°.
i. what is the angle of reflection before rotating the mirror?
ii. through what angle is the reflected ray rotated?
iii. what is the angle between the incidence ray and the new reflected ray?
Answer:
1 35°
2 20°
3 50°
..............
At what angle should two mirrors inclined to produced 10
images during reflection of a body?
Answer:
36°
Explanation:
let n=10 images
n=360/theta
10=360/theta
theta=360/10
theta=36°
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the lambda baryon has the quark composition uds. which particle has the same electric charge as the lambda baryon?
Answer:
A particle that has the same charge as lambda baryon is a neutron.
Explanation:
A lambda baryon is a subatomic particle that is made up of three quarks - uds (up, down and strange). It contains the same number of protons and neutrons, and an isotopic spin of 1. It is a family of hadrons just like mesons.
A quark is a fundamental or basic particle that make up a matter. It can combine with two or more to form composite particles (e.g neutron or proton). These basic particles are held by a very strong attractive force. The composite particles are the constituents of the nucleus of an atom.
The particle that has the same electric charge as the lambda baryon is neutron.
What quarks as seen in Lambda?The lambda is known to be a baryon that is composed of three quarks. They are:
An upA down A strange quarkThe neutron is known to be a kind of subatomic particle that is often written as n or n⁰ . It is known to have a neutral charge and its composition is that of 1 up quark and 2 down quarks.
See full question below
The lambda baryon has the quark composition uds. Which particle has the same electric charge as the lambda baryon?
1. neutron
2 electron
3. proton
4 antimuon
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how mny hours does it takes you to travel by foot from australia to fiji
Answer:
About 22 hours in flight time.
Explanation:
It wouldn't give me the walking time.
Hope I helped ya.
< Sarah >
Answer:
Hmm idk u was tryna take the trip or sum
Explanation:
velocity is a vector quantity, and speed is a scalar quantity. The speed of a car is 20 m/s. What other information do you need in order to know the velocity of the car ?
Answer:
Direction
Explanation:
Speed is a scalar quantity, that is, it has only magnitude
While velocity is a vector quantity, which has both direction and magnitude.
Velocity is also called speed with direction.
Hence, we need to know the direction in which the car is moving in order to know the velocity.
Please help me this question
2. The diagram below shows two marbles moving in opposite direction with
speeds as shown.
(a) If the velocity of the 30.0g marble after collision is 0.1m/s to the left
What is the velocity of the 10.0g marble after collision?
(b)Calculate the kinetic energy before and after collision, hence deduce the
value of the kinetic energy lost.
Answer:
THE DIAGRAM ISNT LOADING HOW DO I HELP YOU
Explanation:
The distance between Earth and the Moon was determined by measuring the time it took for light waves from Earth to travel to the Moon and back. Why was it not possible to use sound waves for this experiment?
Answer: there is no sound in space
Explanation: there is no vacum in space for sound to travel, therfore no sound waves
2.09)
What would happen to two objects of different masses that are dropped in a
free fall where there is no air friction or any other forces besides gravity?
A. They would fall with an acceleration of 8.9 m/s2.
B. They would hit the ground at the same time.
C. The heavier object would hit the ground first.
D. Both objects would float away.
Answer:
b
Explanation:
If someone showed you two spheres of the same size but with different masses, say 1g and 10kg, and asked which would hit the ground first after being dropped from the Leaning Tower of Pisa, what would you say? If you’re like most people, you would say the 10kg sphere would hit the ground first. Aristotle said so too, and for 1,000 years everyone believed him. But doing the experiment would show you, besides a great view of Pisa, that in fact, both spheres hit the ground at the same time.This is exactly what Galileo did, showing the world that objects of different masses fall at the same rate. (This is also a good example of why it is important to do experiments yourself and not to just take someone else’s word for it.) To start understanding why Galileo was right, we need to understand the difference between several physics words that are often jumbled together and confused: mass, weight, speed, velocity, acceleration, and force.
8. A sprinter on a school track team is running north at a velocity of 6.0 m/s. After 5.0 s, she
is running south at 4.0 m/s. Calculate the average acceleration for this interval.
Answer:
acc. = 4-(-6) /5= 10/5=2 m/s^2