A 1.0 kg football is given an initial velocity at ground level of 20.0 m/s [37 above horizontal]. It gets blocked just after reaching a height of 3.0 m. (a) What is the velocity of the football when it first reaches a height of 3.0 m above the level ground? (b) What horizontal distance has the ball travelled when it first reaches a height of 3.0 m above ground?
Answers
Neglect air resistance.
The horizontal component of the launch velocity is
(20 m/s)*cos(37°) = 15.973 m/s
The vertical component of the launch velocity is
(20 m/s)*sin(37°) = 12.036 m/s
The acceleration due to gravity is g =9.8 m/s².
The time, t s, for the ball to reach a height of 3 m is given by
(12.036 m/s)*(t s) - (1/2)*(9.8 m/s²)*(t s)² = (3 m)
12.036t - 4.9t² - 3 = 0
2.4543t - t² - 0.6122 = 0
t² - 2.4563t + 0.6122 = 0
Solve with the quadratic formula.
t = (1/2)[2.4563 +/- √(6.0334 - 2.4488)]
t = 2.1748 or 0.2815 s
The ball reaches a height of 3 m twice.
The first time it reaches 3 m height is 0.2815 s.
Part a.
The vertical velocity when t = 0.2815 s is
Vy = 12.036 - 9.8*0.2815
= 9.2773 m/s
The horizontal component of velocity is Vx = 15.973 m/s
The resultant velocity is
√(9.2773² + 15.973² ) = 18.47 m/s
Answer:
The velocity at a height of 3.0 m is 18.5 m/s (nearest tenth)
Part b.
The horizontal distance traveled is
d = (15.973 m/s)*(0.2815 s) = 4.4964 m
Answer:
The horizontal distance traveled is 4.5 m (nearest tenth)
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Related Questions
If the frequencies of two component waves are 24Hz and 20Hz, they should produce beats per second
Answers
The frequencies of the two new waves are
(the sum of the two original frequencies)
and
(the difference of the two original frequencies) .
The new waves are called the 'beats'.
If the frequencies of the two original waves are 24 Hz and 20 Hz,
then the frequencies of the beats are
(24 + 20) = 44 Hz
and
(24 - 20) = 4 Hz .
These are called the 'beat frequencies'.
Answer:
4 beats per second
Explanation:
When two waves of slightly different frequencies overlap, they produce an interference pattern called beat, which consists in a periodic oscillation whose frequency is called beat frequency.
The beat frequency is equal to the absolute value of the difference between the frequencies of the two original waves:
[tex]f_{beat}=|f_1 -f_2|[/tex]
In this problem, the frequencies of the two waves are:
[tex]f_1 = 24 Hz\\f_2 = 20 Hz[/tex]
So, the beat frequency is
[tex]f_{beat}=|20 Hz-24 Hz|=4 Hz[/tex]
which corresponds to 4 beats per second.
Maurice pulls on the end of a spring scale. He lets go of the end and observes the spring snap back into place. What force restores the spring to its original shape?
a. tension
b. elastic
c. drag
d. applied
Answers
Answer:
Elastic Force
Explanation:
As we pull the spring from one of its end by some distance such that its length is stretched by some amount "x"
So here the restoring force on the spring is given as
[tex]F = kx[/tex]
so here we know
k = coefficient of elasticity
x = change in the length of spring
So here the restoring force on the spring will be Elastic force which always act opposite to the direction of displacement of the spring
Electromagnetic force is present when electromagnetic fields
Answers
Answer: Interact With Charged Particles
Explanation:
What is a Substance?
A) a uniform mixture that can’t be separated
B) a mixture that can be separated
C) a single component that can’t be separated
D) a single component that can be separated
Answers
A substance is a single component that cannot be separated into other substances. Homogeneous mixtures exemplify this concept.
Substance refers to a single component that can't be separated into other substances through chemical means. A homogeneous mixture is a type of substance that is uniform throughout, like salt dissolved in water.
Imagine you are taking a road trip! Select a destination and navigate the trip. Answer the following questions in one or more complete sentences: Where will you go on your trip? Imagine you are taking a road trip! Select a destination and navigate the trip. Answer the following questions in one or more complete sentences: Where will you go on your trip?
Answers
I chose to travel from New York City to Miami, traveling along Interstate 95 South. The journey is about 1,280 miles and takes around 19 hours by car. Essential items include a GPS, emergency car kit, snacks, and water.
For my road trip, I will choose to travel from New York City to Miami, Florida. To plan the trip, I first identify my starting point, New York City. I will take Interstate 95 South, which provides a direct route to Miami. Along the way, I will pass through several major cities including Philadelphia, Baltimore, Washington D.C., and Savannah. To ensure a safe trip, I will monitor my car's fuel levels, engine performance, and be prepared to reroute if necessary.
The journey from New York City to Miami covers roughly 1,280 miles, which can take about 19 hours of driving. Essential items to pack include a GPS for navigation, an emergency car kit, and sufficient snacks and water. Comfort items might include a travel pillow and entertainment options like books or music.
what is the difference between a total solar eclipse and a partial
Answers
A partial eclipse is where the moon is in the new moon phase, but is not completely aligned between the Earth and sun. This is because the moon's orbit, relative to Earth, is tilted.
Intuition might tell us that rough surfaces on clothing would inhibit the speed of an Olympic athlete. Why is this line of thinking not true in some cases? How can controlled roughness actually promote speed?
Answers
The controlled roughness may promote speed as this would allow the person for the proper ventilation allowing his system to work well by allowing air to enter.
Answer:
We associate roughness with a greater coefficient of friction, then we think that rough surfaces on clothing would inhibit the speed of an Olympic athlete. This is not always true because the amount of roughness might improve the way air pass through the fabric.
One example of controlled roughness that actually promote speed are the dimples on golf balls. Dimples create turbulence around the ball, which sucks air to the ball, making its displacement easier and promoting its speed.
Which of the following frictionless ramps (A, B, or C) will give the ball the greatest speed at the bottom of the ramp? Explain.
Answers
Answer:
The ball would have greatest speed at the bottom of ramp C
Explanation:
From the given ramps, C would generate the highest potential energy especially at the highest point that the ball starts to move down the ramp. Potential energy is the energy possessed by an object moving with a uniform velocit or at rest. Since potential energy increases with height, the potential energy gained by the ball on ramp C would cause an increase in its momentum as it glides down to the bottom of the ramp.
Read “Solar Basics” on the Energy Kids website. Specifically, read text under “Two limitations of solar energy”. Use the information to answer the question. What factors affect the amount of solar energy that reaches the Earth’s surface?
Answers
Sample Response: The amount of solar energy that reaches the Earth’s surface depends on the weather, location, and time of year.
PLZ! RATE AND THANKS!
An iron nail is made up of particles. What is true about the particles?
Answers
Answer: " The correct answer is "They stay in place and vibrate." For the other answer options, iron nails are solid particles and in a solid, molecules are packed together (i.e. the space between them is very small) and do not move all over the place because of a strong force of attraction between them, and it keeps its shape and stays in place and vibrate.
Explanation: What is true about the particles?" The correct answer is "They stay in place and vibrate." For the other answer options, iron nails are solid particles and in a solid, molecules are packed together (i.e. the space between them is very small) and do not move all over the place because of a strong force of attraction between them, and it keeps its shape and stays in place and vibrate.
Answer: "They stay in place and vibrate." For the other answer options, iron nails are solid particles and in a solid, molecules are packed together (i.e. the space between them is very small) and do not move all over the place because of a strong force of attraction between them, and it keeps its shape and stays in place and vibrate.
Explanation:
The temperature of an object is raised by 90oC . This is equivalent to what increase in its absolute temperature?
Answers
*Answer ASAP*
Describe how electromagnetic waves are formed and travel through space.
Answers
In general, these waves form from the vibrations of electric and magnetic fields. Unlike mechanical waves, electromagnetic waves do not need a medium to propagate, allowing them to travel through air, solids and vacuum (empty space), which is why they could travel even to outer space. A good example of these are radio waves which travels very fast through space (in light speed which is about 186,000 mi/sec).
Electromagnetic waves are created by a charged particle that generates an electric field. The electric field creates a magnetic field. As the charged particle moves, the electric field and magnetic field keep changing, which causes the wave to move.
What is the width of a rectangle with an area of 5/8 inches2 and a length of 10 inches
Answers
An equation can be created to solve for the width using the information we have:
w*10=0.625
w=width.
Solve for w.
Divide by 10 for both sides.
(w*10)/10=(0.625)/10
w=0.0625
The width would be 0.0625 centimeters.
Hope this helps!
-Benjamin
What product of the greenhouse effect could lead to more extreme weather events?
Answers
A model rocket with a mass of 0.181 kg is launched into the air with an initial speed of 92 m/s. How much kinetic energy will the rocket have at a height of 164 m? Assume there is no wind resistance.
303 J - 747 J - 634 J - 444 J
I have tried taking the initial KE with 1/2*.181*92^2 and subtracted the final potential energy .181*9.8*164. This gets me 475, which isn't any of the choices. I picked 444 J since it was the closest, but it was wrong.
Answers
KE = mv^2 / 2KE = 0.181 kg (92 m/s)^2 / 2KE = 765.992 kg-m^2/s^2 or 765.992 J
Therefore, the closest answer to the value we got would be the second option, 747 J.
four real-life examples of the results of scientific investigations
Answers
1. The development of the whole human genome.
2. The discovery of penicillin.
3. The discovery of a drug that cures tuberculosis.
4.The discovery that atoms have different energy levels and that electrons are found at each level.
All these events comes about as a result of scientific investigations.
Which object has elastic potential energy? a piece of bread a ball at rest a stretched rubber band a falling leaf
Answers
A stretched rubber band has elastic potential energy.
If a certain mass of mercury has a volume of 0.002 m^3 at a temperature of 20°c, what will be the volume at 50°c
Answers
.002 x .0001802 x 30 = .000010812
initial volume + change in volume = Final volume
.002 + .000010812 = .002010812 m cubed
= 0.0020108 m³
Explanation;Using the concept on thermal expansion of matter, in this case thermal expansion of liquid mercury.V₁=0.002 m³, T₂ =20 °C
V₂= ? T₂ = 50° C
Thus, change in temperature will be; T₂ - T₁That is, 50°C - 20°C = 30 °C
The coefficient (γ) of volume expansion of Mercury at 20 °C is 0.00018 per centigrade.Therefore, the volume of mercury at 50° C will be given by;V₂ =V₁ [1 + γ(50-30)]
= 0.002 [1 + 0.00018(30)]
= 0.0020108 m³
Therefore; the volume of mercury at 50°C is 0.0020108 m³
A car traveling at speed of 24 m/s comes to stop at the red light how much time will it take for the car to stop if its acceleration is -8.0 M/S2
Answers
final speed = initial speed + acceleration * time
0 = 24 - 8*t, t = 3 s! The answer is 3 seconds
Answer:
The car take the time is 3.0 sec
Explanation:
Given that,
Speed = 24 m/s
Acceleration = -8.0 m/s²
We need to calculate the time
Using equation of motion
[tex]v = u+at[/tex]
Where, v = final velocity
u = initial velocity
a = acceleration
t = time
Put the value into the formula
[tex]0=24-8.0\times t[/tex]
[tex]t =\dfrac{24}{8.0}[/tex]
[tex]t = 3.0\ sec[/tex]
Hence, The car take the time is 3.0 sec.
An object is thrown with an initial velocity v0 forming an angle θ with an inclined plane, which a In turn it forms an α-angle α with a horizontal plane.
A) Find the distance X from the launch point to the point where the object falls. X = F (v0, θ, α, g)
B) Find the distance for v0 = 20m / s, θ = 53o , α= 36 ° , g = 9.8m / s2
Answers
d = the horizontal distance that the projectile travels.
h = the vertical distance that the projectile travels.
Part A
From the geometry, obtain
d = X cos(α) (1a)
h = X sin(α) (1b)
The vertical and horizontal components of the launch velocity are respectively
v = v₀ sin(θ - α) (2a)
u = v₀ cos(θ - α) (2b)
If the time of flight is t, then
vt - 0.5gt² = -h
or
0.5gt² - vt - h = 0 (3a)
ut = d (3b)
Substitute (1a), (1b), (2a), (2b) (3b) into (3a) to obtain
[tex]0.5(9.8)( \frac{d}{u})^{2} -v_{0} sin(\theta - \alpha ) \frac{d}{u} - h = 0 [/tex]
[tex]4.9[ \frac{X cos \alpha }{v_{0} cos(\theta - \alpha } ]^{2} - v_{0} sin(\theta - \alpha ) [ \frac{X cos \alpha }{v_{0} cos(\theta - \alpha } ] - X sin \alpha = 0[/tex]
Hence obtain
[tex]aX^{2}-bX=0 \\ where \\ a=4.9[ \frac{cos \alpha }{v_{0} cos(\theta - \alpha )}]^{2} \\ b = cos \alpha \, tan(\theta - \alpha ) + sin \alpha [/tex]
The non-triial solution for X is
[tex]X= \frac{b}{a} [/tex]
Answer:
[tex]X= \frac{sin \alpha + cos \alpha \, tan(\theta - \alpha )}{4.9 [ \frac{cos \alpha }{v_{0} \, cos(\theta - \alpha )} ]^{2}} [/tex]
Part B
v₀ = 20 m/s
θ = 53°
α = 36°
sinα + cosα tan(θ-α) = 0.8351
cosα/[v₀ cos(θ-α)] = 0.0423
X = 0.8351/(4.9*0.0423²) = 101.46 m
Answer: X = 101.5 m
You replace a 200 W lamp with a more efficient 55 W LED lamp. If you leave your lights on 24 hours a day, how much energy are you saving each day by replacing this bulb?
A.21,225,000 J
B.17,280,000 J
C.4,752,000 J
D.12,528,000 J
Answers
The amount of energy will be 12,528,000 J.
What is energy?Energy represents the ability to do tasks. This could exist in several forms, including potential, kinetic, thermal, electrical, chemical, radioactive, and others.
Given data:
[tex]P_{1} = 200 W\\P_{2} = 55W[/tex]
Calculation of energy
The energy can be calculated by using the formula:
ΔW = [tex]W_{1} - W_{2}[/tex]
It is known that, w = pt
where, w is energy and p is power.
ΔW =
[tex]= P_{1}t - P_{2}t = t(P_{1}- P_{2}) \\= 86400 (200 - 55) \\= 12528000 J[/tex]
Therefore, the amount of energy will be 12,528,000 J.
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What two simple machines make up an axe?
A) a wedge and a lever
B) a wedge and a screw
C) a screw and a lever
D) a pulley and a lever
Answers
The amount of a fossil fuel that can be extracted at a profit using current technology is called what?
Answers
Which of the following quantities is a vector in character?
electric field
electric charge
electric energy
electric potential difference
Answers
1. Electric field
An electric field is a vector because it has both magnitude and direction. An electric field is defined at a point in space to indicate the Coulomb force that a charged particle will experience, and the direction of the force.
2. Electric charge
The magnitude of the charge on a particle is a Coulomb. Because it is not defined in terms of direction, it is a scalar.
3. Electric energy
Electrical energy defines work done in moving a charged particle. A unit of work has no direction, and it is a scalar.
4. Electric potential difference
An electric potential difference, measured in volts, defines the difference in electric potential energy between charged particles. It is a scalar.
Answer: Electric field is a vector.
The correct option is Option A (Electric Field). Among the given options, the electric field is a vector quantity. The other quantities such as electric charge, electric energy, and electric potential difference are all scalars.
Among the given quantities, the electric field is a vector quantity, while the others are scalars. A vector quantity has both magnitude and direction, making it possible to be represented by arrows indicating the direction and strength of the field.
Key differences :
Electric field: A vector quantity represented by E, which denotes force per unit charge and has both magnitude and direction.Electric charge: A scalar quantity representing the amount of electric charge.Electric energy: A scalar quantity representing the potential energy in the system.Electric potential difference: A scalar quantity representing the difference in electric potential between two points.For example, the electric potential of a point charge is given by V = kQ/r, which is a scalar, whereas the electric field is defined as the force per unit charge and is a vector.
Faraday's law states that voltage cannot be increased by moving a magnet towards a coil.
a. true
b. false
Answers
The answer is false.
A deciliter is how many times larger than a milliliter
Answers
Milliliter = 1/1000 of a liter
So, there are 100 milliliters in one deciliter
Which of the following is the reason a lever is used in a shovel?
A. a lever is used to decrease effort force
B. a lever is used to decrease resistance force
C. a lever is used to increase resistance force
D. a lever is used to increase the effort force
Answers
D. a lever is used to increase the effort force
The applied force is F.
In order to lift the weight, the minimum applied force is
F*b = W*a
F = (a/b)W
When the ratio a/b < 1, then the applied force is less than the weight.
The principle behind the use of a lever is to keep the ratio a/b small in order to decrease the effort force.
Answer: A
A lever is used to decrease effort force.
Bill does 1500 j of work on a leaver, which is a simple machine. The lever does 1350 j of work on a stone. What is the efficiency of the leaver?
Answers
c) 90% is the efficiency of the leaver.
Efficiency is the energy output, divided by the energy input, and expressed as a percentage.
Efficiency = (1350/1500)×100
= 90%
What is the formula for efficiency?
Efficiency may be expressed as a ratio by using the following components: Output ÷ input. Output, or painting output, is the overall amount of useful work finished without accounting for any waste and spoilage. You can also express performance as a percentage by using multiplying the ratio by using one hundred.
A second class lever is the handiest lever which can promise that the attempt arm will usually be more extra than the load arm. This arrangement results in a larger attempt arm-to-load arm ratio, making the second magnificence lever the maximum robotically high-quality.
The question is incomplete. Please read below to find the missing content.
Bill does 1500 J of work on a lever, which is a simple machine. The lever does 1350 J of work on a stone.
What is the efficiency of the lever?
a)0.9%
b)1.1%
c)90%
d)111%
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On which factor coefficient of cubical expansion depends?
Answers
Hypothesize whether you think each of the following substances will be an acid, a base, or neutral:
Bleach —
Detergent —
Eye drops —
Lemon juice —
Tea —
Answers
Bleach is a base. Detergent is a base. Eye drops are a neutral. Lemon juice is an acid. Tea is an acid.
What is Acid ?Acid is any material that when dissolved in water has a sour taste, alters the colour of some indicators (blue litmus paper turns red, for example), combines with some metals (like iron) to release hydrogen, reacts with bases to produce salts, and catalyses various chemical reactions. Acids are examples of both organic chemicals that belong to the carboxylic acid, sulfonic acid, and phenol groups as well as the inorganic substances known as the mineral acids, such as sulfuric, nitric, hydrochloric, and phosphoric acids. These materials contain one or more hydrogen atoms, which are discharged as positively charged hydrogen ions when they dissolve in a solution (see the Arrhenius hypothesis).
The Brnsted-Lowry theory and the Lewis theory provide broader definitions of an acid that encompass chemicals that display typical acidic behaviour as pure compounds or when dissolved in solvents other than water.
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