The initial speed of the second ball if they are both reach the ground at the same time is 19.8 m/s.
Speed of the balls
The initial speed of the second ball is calculated as follows;
v = √2gh
v = √(2 x 9.8 x 45)
v = 29.7 m/s
Time for the ball to travel 5 meterst = √(2h/g)
t = √(2 x 5/9.8)
t = 1.01 s
Initial speed of the first ballvf = vi + gt
29.7 = vi + 9.8(1.01)
29.7 = vi + 9.9
vi = 19.8 m/s
Thus, the initial speed of the second ball if they are both reach the ground at the same time is 19.8 m/s.
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3. A horizontally moving tennis ball barely clears the net, a distance y above the surface of the court. To land within the tennis court the ball must not be moving too fast.
a. To remain within the court’s border, a horizontal distance d from the bottom of the net, show that the ball’s maximum speed over the net is v = / √ 2
b. Suppose the height of the net is 1.00 m, and the court’s border is 12.0 m from the bottom of the net. Use g = 10 m/s2 and show that the maximum speed of the horizontally moving ball clearing the net is about 27 m/s (about 60 mi/h).
c. Does the mass of the ball make a difference? Defend your answer.
(a) The ball’s maximum speed over the net is v(max) = √2gh.
(b) The maximum speed of the horizontally moving ball clearing the net is about 27 m/s.
(c) Speed of the ball is independent of its mass.
Time of motion of the ballThe time of motion of the ball is calculated as follows;
h = vt + ¹/₂gt²
1 = 0 + ¹/₂(9.8)t²
1 = 4.9t²
t² = 1/4.9
t² = 0.204
t = 0.452 s
Horizontal speed of the ballThe horizontal speed of the ball is calculated as follows;
X = vt
v = X/t
v = (12 m)/(0.452)
v = 26.6 m/s ≈ 27 m/s (proved)
Conservation of energyP.E = K.E
mgh = ¹/₂mv²
gh = ¹/₂v²
2gh = v²
√2gh = v(max)
Speed of the ball is independent of its mass.
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Find the steady-state charge qp(t), and the steady-state current ip(t),in an LRC-series circuit when
L = 1 h,
R = 4 Ω,
C = 0.1 f, and
E(t) = 30 cos(t) V.
(a) The value of the steady state charge in the circuit is 3 C.
(b) The steady-state current ,in an LRC-series circuit is 5.3 A.
Steady state chargeThe value of the steady state charge in the circuit is calculated as follows;
Q = CV(max)
Q = 0.1 x 30
Q = 3 C
Steady state current in circuitI = V/R
Vrms = 0.7071 x V(max)
Vrms = 0.7071 x 30
Vrms = 21.21 V
I = Vrms/R
I = 21.21/4
I = 5.3 A
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A car of mass 500 kg is moving at a speed of 1.2 m/s. A man pushes the car, increasing the speed to 2 m/s. How much work did the man do?
A. 1360 J
B. 360 J
C. 640 J
D. 1000 J
Answer:
Option B - 360 J
Explanation:
One of the formulas used to find out how much work was done is :
E = 0.5×m×v² (where m is the mass and v is the velocity)
Now we substitute values from the question and simplify :
E = 0.5×500×1.2²
E = 250×1.2²
E = 250×1.44
E = 360 J
So our answer is Option B
Hope this helped and have a good day
A rock is dropped from a bridge to the water below. It takes 2.40 s for the rock to hit the water (a) find the speed in m/s of the rock as it hits the water. (b) how high in metres is the bridge above the water
Answer: I think Its the Height is 11.76 Meters (38.582677 Feet) between the bridge and the ground
Explanation: Supposing that where not counting air resistance in the equation, the equation [tex]D = ut+\frac{1}{2} at^{2}[/tex] states that 1/2 multiplied by earths gravitational acceleration multiplied by the amount of time to reach the bottom: 2.4 seconds equals 11.76 meters of height between the bridge and the ground.
describe how standard of meter, second and kilogram are
agreed internationally?
The SI unit is agreed internationally through an agreement known as convention of the meter.
What is SI unit?
SI unit stands for International System Of Units (SI) - which is the metric system that is used universally as a standard for measurements.
Some examples of SI unit include;meter - unit of lengthsecond - unit of timekilogram - unit of massThe SI unit is agreed internationally through an agreement known as convention of the meter, which describes the measurement of fundamental quantities such as mass, time, and length.
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3. Harris is putting in a three-phase Y-Y-
connected transformer bank and the
secondary line-to-line voltage is 208 V.
What's the line-to-neutral voltage?
O A. 120 V
O B. 359 V
C. 69 V
O D. 240 V
120V is the line-to-neutral voltage .
What is Line Voltage ?It is defined as the voltage of a power transmission circuit or distribution circuit up to the point of transformation or utilization.
The secondary line voltage is [tex]V_{L} = 280 V[/tex]
The notation AC indicates that the current is an alternating current.
The given formula is [tex]V_{ph} = \frac{V_{L} }{\sqrt{3} }[/tex]
Substitute 208 V into the formula
[tex]V_{ph} = \frac{V_{L} }{\sqrt{3} } \\\\V_{ph} = \frac{208V}{\sqrt{3} } \\\\= 120 (Approx)[/tex]
So, the line-to-neutral voltage is 120 V.
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Car A is traveling with a constant velocity of 18 [m/s]. Car B speeds up from 0 [m/s] to 10 [m/s] in 4 seconds. Which car has a greater acceleration?
The car A and car B are travelling at different speeds. The car that has a greater acceleration is car B.
What is acceleration?Acceleration is defined as the rate change of velocity with time.
acceleration a = (Δv) / (Δt)
Car A is traveling with a constant velocity of 18 [m/s]. The initial and final velocity is same. So, the acceleration is given by
a = (18 -18)/ t
a = 0 m/s²
Car B speeds up from 0 [m/s] to 10 [m/s] in 4 seconds. The acceleration is
a = (10 -0)/ 4
a = 2.5 m/s²
Thus, the car B has greater acceleration.
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2. A generator coil has 25 turns of wire and a cross-sectional area of 36 cm2.
The maximum emf developed in the generator is 2.8 V at 60 Hz. What is
the strength of the magnetic field in which the coil rotates?
Angular speed
2πff is frequency
2(3.14)(60)376.8Area=36cm²=0.0036m²
Now
[tex]\\ \rm\Rrightarrow emf=nAB\omega[/tex]
[tex]\\ \rm\Rrightarrow 2.8=25\times 36\times 10^{-4}\times 376.8B[/tex]
[tex]\\ \rm\Rrightarrow 2.8=33.84B[/tex]
[tex]\\ \rm\Rrightarrow B=0.0827T[/tex]
[tex]\\ \rm\Rrightarrow 8.3\times 10^{-3}T[/tex]
Ray creates an energy transfer diagram for a hair dryer. However, the diagram contains an error that could be corrected in several different ways.
If the energy transfer diagram created by Ray has error in it, it can be corrected by applying the principle of energy conservation.
What is energy diagram?Energy diagram is sketch of the energy flow process or energy transfer or energy conversion process.
The law of energy conservation states that, energy can neither be created nor destroyed but can be converted from one form to another.
Thus, if the energy transfer diagram created by Ray has error in it, it can be corrected by applying the principle of energy conservation.
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aluminium,metal,glass,and paper:
Aluminum metal is a good example of conductor of electricity while glass and paper are good example of insulators.
What is a conductor?
A conductor is material that allows easy passage of electric current through the.
Examples of conductorsAll metals are good examples conductors. such as aluminum, iron, silver, etc.
What is a non conductor?A non conductor or insulator is a material which does not allow easy passage of electric current through them.
Examples of insulatorsglasspaperwood, etcThus, aluminum metal is a good example of conductor of electricity while glass and paper are good example of insulators.
The complete question is below:
aluminium,metal,glass,and paper, are examples of what?
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Fill in the chart in the file below.
Hopefully, it's helpful to you -
Don't get me wrong, but I think there could be a different way to interpret Gas and Dust mean here- which just makes this brace map completely different.
Nevertheless, I did what I thought (and I still hold with it) was correct.
The chart has been filled in the attached picture.
What is universe ?The universe encompasses all of space and time, as well as their contents, which include planets, stars, galaxies, and all other forms of matter and energy. The Big Bang theory is the most widely accepted cosmological explanation for the evolution of the universe. According to this idea, space and time coexisted 13.7870.020 billion years ago, and the cosmos has been expanding since. While the spatial extent of the entire universe is unknown, the observable universe can be measured, which is around 93 billion light-years in diameter at the present time.
Ancient Greek and Indian thinkers devised some of the earliest cosmological conceptions of the world, which were geocentric, with Earth at the centre. More precise astronomical measurements throughout the ages prompted Nicolaus Copernicus to establish the heliocentric hypothesis, which places the Sun at the centre of the Solar System. Issac Newton based his rule of universal gravitation on Copernicus' work, as well as Johannes Kepler's equations of planetary motion and Tycho Brahe's observations.
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(For example, if you used a lunch meat that claimed to be 97% fat-free, were just 3% of its calories provided by fat?) If the manufacturer made such claims, how do you explain the difference between the manufacturer's claims and your findings?
Salmon
The difference between the manufacturer's claims and your findings is, the manufacturer is concerned about amount of fat in the meat while you are concerned about calories.
Difference between your findings and the manufacturers claimYour findings concluded that only fat can provide calories needed in the body, perhaps other classes of food or nutrients in the meat can provide calories as well.
In the manufacturer's claim there are about 3% fat in the lunch meat and doesn't necessary mean that all the calories needed is the 3% fat.
Thus, there are lots of difference between your findings and the manufacturer's claim. The manufacturer is concerned about amount of fat in the lunch meat while you are concerned about calories in the meat.
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when the cross product of vector A and B are 2i+3j+4k and the sum of vector A and B are 3i+8j+7k then what will be the two vectors
Explanation:
the two vectors are 5i+11j+11k
. An electric field E = 100,000i N/C causes the 5.0 g point charge to hang at a 20°
angle. What is the charge on the ball?
The charge on the ball developed will be 1.78 x 10⁻⁷ Coulomb.
What is electric field?The field developed when a charge is moved. In this field, a charge experiences an electrostatic force of attraction or repulsion depending on the nature of charge,
Given is an electric field E = 100,000i N/C causes the 5.0 g point charge to hang at a 20° angle.
If T is the tension and θ is the angle, then
The force in x direction Fx = T sinθ
Force in y direction Fy = T cosθ = mg
Dividing both the equation, we have
tan θ = qE /mg
Substitute the given values in the question, we have
q = 5 x10⁻³ x 9.81 x tan 20 /100000
q = 1.78 x 10⁻⁷ Coulomb.
Thus, the charge of ball is 1.78 x 10⁻⁷ Coulomb.
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what happens to the reading on Ammeter A1 , when more resistors are connected in series?
Answer:
As the number of bulbs in series increases, both the ammeter reading and bulb brightness should decrease. Using standard ammeters may not give perfect results and if the bulbs are allowed to heat up too much in between adding more bulbs, their resistance will be higher.
Explanation:
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30 POINTS!!! how long must a 50 N force act on a 400 kg mass to raise its speed from 10 m/s to 12 m/s
Answer:
16 seconds
Explanation:
we want to find the acceleration first:
F = ma
50/400 = a
a = 0.125 m/s²
laws of motion formula:
vf = vi + at
12 = 10 + 0.125t
t = 16 seconds
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A 10.0-kg test rocket is fired vertically. When the engine stops firing, the rocket’s kinetic energy is 1960 J. After the fuel is burned, to what additional height will the rocket rise?
Answer:
20m
Explanation:
So the formula for PE(Potential Energy) = Mass x Acceleration x Height
So we are given the following
PE = 1960
Mass = 10Kg
Acceleration = 9.8m/s^2 (The reason we have an acceleration is due to gravity)
Height = ?
So to calculate height we will use the same formula
1960 = 10 x 9.8 x h
1960 = 98 x h
1960 = 98h
we divide 98 on both sides
H = 20m
Hope this helped.
Ms. Paul is standing at the top of a cliff that is 100 m tall. She kicks a rock and it gets a horizontal velocity of 15.0 m/s. Determine the range of the
projectile.
vertical motion
h=1/2 gt²
100 = 1/2 x 10 x t²
t² = 100/5 = 20
t = 2√5 s
horizontal motion
x = v.t
x = 15 x 2√5
x = 30√5 m
Convert this measurement into the new given units. give answers in standard scientific notation? 204.0 kilograms to grams?
Answer: 204.0 kg = 204000.0 g
Explanation:
Standard, 1 kg = 1000 g
204.0 kg = 204.0 x 1000 = 204 000.0 grams
Question 6 of 10
Which statements below are true?
Check all that apply.
A. Displacement measurements must include magnitude, unit, and
direction.
B. If motion starts and stops at the same location, then the
displacement is zero.
C. Distance can be fully described with a magnitude and a unit.
D. Distance is always less than or equal to the magnitude of the
displacement.
Answer:
A, AND B,
Explanation: just trust me bro
an object is thrown straight up. which of the following is true abought the sign of workdone by the force of gravity on the object, while the object moves up and then down
Answer:
Upward: Negative
Downward: Positve
Explanation:
Let upward be positive
We want to find the work done on the object upwards.
The equation of work done due to gravity is
[tex]f _{g}d \cos( \alpha ) [/tex]
It is read as force of gravity times displacement times cos of the angle between the force and displacement.
Since gravity is happening down of the center of mass and the displacement is upwards, the angle is 180° so
[tex]f_{g}d \cos(180) [/tex]
Cosine of 180 is -1
so
[tex] - f_{g}d [/tex]
If we go downwards, the sign will be positive because cos(0)=1
A scientist is measuring various properties of a sound wave. She measures the value 340 m/s. Which of the following wave characteristics could this value correspond to?
A.
wavelength of the sound wave
B.
period of the sound wave
C.
wave speed of the sound wave
D.
frequency of the sound wave
Answer:
B. period of the sound wave
5. To push a box up an inclined plane, is the force required smaller if you push horizontally
or if you push parallel to the incline? Why?
To push a box up an inclined plane, the force required is smaller if you push parallel to the incline.
What is an Inclined plane?This is also referred to as a ramp and is a flat surface which is tilted at an angle.
Pushing parallel to the plane doesn't generate friction which means a smaller amount of force will be required.
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How can you say that m3 is called derived unit
Answer:
m³ is a derived unit because it is a product of three basic units. ( meters*meters*meters)
Discuss how radio waves work.
Answer:Radio works by transmitting and receiving electromagnetic waves. The radio signal is an electronic current moving back and forth very quickly. A transmitter radiates this field outward via an antenna; a receiver then picks up the field and translates it to the sounds heard through the radio.In AM (Amplitude Modulation) radio, the strength (amplitude) of the signal is changed (modulated) to make the sounds. In FM (Frequency Modulation) radio, it is the speed (frequency) of the signal that is changed. When you tune in your radio, the dial number indicates the kilo or megaHertz at which the signal is being broadcast.
Radio signal uses specific frequency, or how quickly the waves of the field move up and down. Hertz is a measurement of the number of wave cycles per second - AM is expressed in kiloHertz, while FM radio is expressed in megaHertz. The station power affects the range of the signal, or how far it can travel. The strongest AM power allowed in the United States is 50,000 watts.
Explanation:
Answer:
It works trough transmitted and received electromagnetic waves
Explanation:
Radio works by transmitting and receiving electromagnetic waves. The radio signal is an electronic current moving back and forth very quickly. A transmitter radiates this field outward via an antenna; a receiver then picks up the field and translates it to the sounds heard through the radio. Radio works by transmitting and receiving electromagnetic waves. The radio signal is an electronic current moving back and forth very quickly. A transmitter radiates this field outward via an antenna; a receiver then picks up the field and translates it to the sounds heard through the radio.
The apparatus consists of a hollow metal tube through which first tap water and then steam is passed. The
change in length, A/= 1₂-11, is measured by means of an optical lever, and the temperature at equilibrium
in each case read off the thermometer inserted into the tube.
- The length when cold is measured with a metre stick. Explain why this is accurate enough
The apparatus consists of a hollow metal tube through which first tap water and then steam is passed. This process is accurate because it gives a result close to the required value. This is further explained below.
What is an accurate experiment?Generally, An experiment's accuracy is simply defined as the degree to which the final result is within the bounds of what is considered to be the accurate or approved value. As the distance decreases, so does the precision of the experiment.
In conclusion, Metal tubing, first filled with tap water, and subsequently steam, is used to create the device's steam. This method is accurate since it returns a value that is near to what is needed.
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What does the pair of shoes weigh on earth
Answer:
Explanation:
the average weight for a pair of men's dress shoes is around 2 pounds.
How to determine the width/thickness of a coin using a screw gauge?
We can calculate the width/thickness of a coin using a screw gauge by placing it in between the teeth of the gauge.
How we can calculate the thickness using screw gauge?We can determine the width/thickness of a coin by using a screw gauge because screw gauge is an instrument that measures thickness of an object that are very thin. First we can placed the coin in between the teeth of the gauge and then move the gauge until the coin can be held tightly. After that note the reading on the scale.
So we can conclude that we can calculate the width/thickness of a coin using a screw gauge by placing it in between the teeth of the gauge.
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On a playground slide, a child has potential energy that decreases by 1000 J while her kinetic energy increases by 900 J. what other form of energy is involved, and how much?
Answer:
Friction 100 j
Explanation:
Friction causes the inequality between PE and KE
100 J
What is the velocity of a plane that travels 3,000 miles in 5.0 hours?
Answer:
600mph
Explanation:
hope this helps!