(a) The work done by the shot-putter is 313.6 J.
(b) The force exerted by the shot-putter is 627.2 N.
(c) The power used by the shot putter is 7024.6 Watt.
What is the work done by the shot-putter?
The work done by the shot-putter is equal to the change in the kinetic energy of the shot-put.
W = ΔK.E
W = ¹/₂m(v² - u²)
where;
m is the mass of the shot-putv is the final velocity of the shot-putu is the initial velocity of the shot-put = 0 (since it started from rest)W = ¹/₂m(v² - 0)
W = ¹/₂mv²
W = ¹/₂(5)(11.2)²
W = 313.6 J
The force exerted by the shot-putter is calculated as follows;
W = Fd
where;
F is the applied forced is the displacement of the shot-putF = W / d
F = ( 313.6 J ) / (0.5 m)
F = 627.2 N
The power used by the shot putter is calculated as follows;
P = Fv
P = (627.2 N) x (11.2 m/s)
P = 7,024.6 Watt
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a person standing a certain distance from twelve identical loudspeakers is hearing a sound level intensity of 120db. what sound level intensity would this person hear if six are turned off?
The sound level intensity would this person hear is 116.98 dB
How is loudness of a sound measured?
The formula D = 10 log (I/I₀), determines the decibel level of a sound. , I is its intensity in watts per square metre and I₀ is the intensity of threshold sound,
In the first case, sound is produced by 12 identical speakers
∴Intensity, I₁ = 12 I
where I is the intensity of one speaker
Decibel level in this case, D = 120dB
⇒ 120 = 10× log (12I/i₀) ----- eqn(1)
In second case number of speakers is reduced to 6
∴Intensity, I₂ = 6 I
Decibel level in this case, D = 10× log (6I/i₀) ----eqn(2)
eqn(1)- eqn(2)⇒
120 - D = 10× log (12I/i₀) - 10× log (6I/i₀)
120 - D = 10× log (12I/i₀ ÷ 6I/i₀)
120 - D = 10× log(12 I/6 I)
120 - D = 10× log(2)
120 - D = 3.010
D = 116.98 dB
Therefore the sound level intensity would this person hear is 116.98 dB
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A student is tasked with using a force table to balance a small ring in the center of a pin, as shown in Figure 1. For each of the four strings shown, one end is attached to the small ring, and the other end is attached to a hanger that can hold masses. Each string is wrapped around a pulley so that the hanger and masses are at rest. The location of each pulley may be changed. Figure 2 shows a top-down view of the free-body diagram of the forces exerted on the pin at a particular moment in time. From a top-down perspective, in what direction will the pin accelerate?
A-Up and to the right
B-Up and to the left
C-Down and to the right
D-Down and to the left
The pin will accelerate up and to the left.
The net force is in upward direction and to the left direction. So, pin will have acceleration up and left.
In vertical direction,
upward force = 3 N,
Downward force = 1 N
So, net upward force is = 3-1 N = 2 N
In horizontal direction,
force to the right is = 5 N
Force to the left is = 8 N
So, net force to the left is = 8-5 N = 3 N.
Net force is an unbalanced force in the direction of the greater force if the two forces are acting on an object in the opposite direction.
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Is there an inverse relationship between wavelength and frequency?
Wavelength and frequency are inversely proportional to one another.The wavelength of a wave that has a high frequency is also its shortest.
Does the link between wavelength and frequency have an opposite? Wavelength and frequency have an inverse relationship.The wavelength of the wave with the highest frequency is the smallest.Half the wavelength is equivalent to twice the frequency.Because of this, the wavelength ratio is the opposite of the frequency ratio.Frequency and wavelength are inversely related to one another, as shown by the equation v = f.The link between a wavelength and its frequency is inverse because when one changes, the other does too, which changes the wave's total energy.Frequency, or the quantity of wave cycles per second, and wavelength have an inverse relationship.The wavelength of the signal decreases with increasing frequency.To learn more about wavelength refer
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How does dramatic irony create suspense?
When the audience is aware of plot developments before the characters do, they are forced to anticipate, fear, and wish the characters would learn the truth sooner.
How does theatrical irony increase suspense?Dramatic irony works well for building tension and suspense. The viewer always has an advantage over the characters. As a result, there is inescapable tension as the audience eagerly awaits a catastrophe or conflict that they know is about to happen.
What effect does dramatic irony have on the reader?Dramatic irony is a technique used by authors to capture and hold the interest of their readers. Curiosity is sparked by it. Additionally, it raises tension by making the spectator fear the moment when characters discover the information they already know.
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Which is the general differential equation of wave motion is Mcq?
The general differential equation of wave motion is ∂t∂y=v2∂x∂y.
What is the fundamental wave equation?All of the quantities in the wave equation, which is provided by y = 0.002 sin 2(5t - x/12), are given in SI units. After 0.2 seconds, determine the particle's displacement at a distance of 5 m from the origin.
Applying F=ma to a string of infinitesimal length dx yields the wave equation (see the diagram below). We imagine the basic harmonic motion of our tiny length of string bobbing up and down.
Since the fundamental wave equation is a linear differential equation, the superposition principle will be respected. This means that the displacements that would have been created by each wave individually are added to create the net displacement that is caused by two or more waves.
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In an experiment to copper plate a coin a current of 100mA is passed through a solution of copper. If 30C of charge must pass before the coin has enough copper deposited on it for how long must you leave the current switched on?
To calculate how long the current must be switched on in order to copper plate the coin, we need to use the formula for the time required to deliver a certain amount of electric charge:
t = Q / I
where t is the time, Q is the electric charge, and I is the current.
In this case, the electric charge is 30 C, and the current is 100 mA. Plugging these values into the formula, we get:
t = 30 C / 100 mA
= 0.3 seconds
Therefore, you would need to leave the current switched on for 0.3 seconds in order to copper plate the coin.
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A motorbike is travelling at 3m/s, and accerlates over 3.5s to reach a speed of 10m/s What was the acceleration of the bike
Can somebody answer this
Answer:
The answer is probably D
Explanation:
None others make sense
What is the relation between the amplitude of a wave and its speed Mcq?
The relation between the amplitude of a wave and its speed is an important multiple choice question (MCQ) in physics and other related sciences.
What is amplitude?Amplitude is a measure of the magnitude of a wave or signal. It is the maximum absolute value of the wave or signal over a given period of time and is usually measured in decibels (dB). Amplitude also refers to the maximum displacement of a point on a wave from its rest position. In sound, amplitude is often referred to as “volume” or “loudness”.
The amplitude of a wave is the maximum displacement of a particle from its equilibrium position and is measured in meters (m). The speed of a wave is the distance it travels in a given amount of time and is measured in meters per second (m/s).
As the amplitude of a wave increases, its speed remains constant. This is due to the fact that the speed of a wave is determined by the medium in which it is traveling, not its amplitude. For example, the speed of sound in air is the same regardless of how loud it is. The speed of light in a vacuum is also constant regardless of the intensity of the light. This means that the amplitude of a wave does not affect its speed.
However, the amplitude of a wave does affect its energy. The higher the amplitude of a wave, the more energy it carries. This is because the amplitude of a wave is directly related to the amount of energy it contains. This is why it is important to remember that the amplitude of a wave does not affect its speed, but it does affect its energy.
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during a very quick stop, a car decelerates at 6.6 m/s2. assume the forward motion of the car corresponds to a positive direction for the rotation of the tires (and that they do not slip on the pavement). what is the angular acceleration of its tires in rad/s2, assuming they have a radius of 0.275 m and do not slip on the pavement?
The temporal rate at which angular velocity changes is known as angular acceleration. The standard unit of measurement is radians per second per second.
Calculation:a) A constant deceleration means a constant linear deceleration. The angular acceleration experimented by the tires is:α = -6.6 rad/s²/0.275
α = -20.74rad/s²/0.275
b) The period of time required to decelerate the car is derive from the following expression:t = ω - ω°/α
t = 0rad/s - 93rad/s/ -20.74rad/s
t = 4.48s
The angular position at given time is:θ = (93rad/s).(4.48s) + 1/2× -(20.74rad/s) × (4.48s)
θ = 416.64 - 45.46
θ = 371.18 rad
The number of revolutions are:n = θ/2π
n = 371.18 × 7 /22
n = 118.09
c) The time needed to decelerate the car is:t = 4.48s
d) The initial speed experimented by the car is:v° = 93rad/s × 0.275 m
v° = 25.575 m/s
The distance done by the car during its deceleration is:s = (25.575m/s) × (4.48s) +1/2 × (-6.67m/s) × (4.48s)
s = 114.57 + 14.94
s = 129.51m
e) The initial speed of the car is:v° = 25.575 m/s
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What are the 3 types of irony in the crucible?
The three types of irony in the crucible are:
Verbal ironyDramatic ironySituational ironyIrony is when there’s a contradiction between expectation and reality. It is a commonly used literary device.
Verbal irony:
Verbal irony is generally found in plays, speeches, and literature when someone says something that is extremely different from the reality of the situation. Verbal irony is used intentionally by the speaker or the character.
Dramatic irony:
We can find dramatic irony in plays, TV shows, movies. It occurs when we know something that the actor does not.
Situational irony:
Situational irony describes a complete difference between what is expected to happen and what actually happen.
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what is the ratio of the kinetic energy of a 2000 kg mass to the kinetic energy of a 500 kg mass traveling at the same speed?
The ratio of the kinetic energy of a 2000 kg mass to the kinetic energy of a 500 kg mass traveling at the same speed is 4.
The ratio of the kinetic energy of a 2000 kg mass to the kinetic energy of a 500 kg mass traveling at the same speed can be calculated using the formula for kinetic energy:
KE = 0.5 * m * v^2where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.
If we let KE1 be the kinetic energy of the 2000 kg mass and KE2 be the kinetic energy of the 500 kg mass, we can write:
KE1/KE2 = (0.5 * 2000 kg * v^2) / (0.5 * 500 kg * v^2)
= (2000 kg) / (500 kg)
= 4
Therefore, the ratio of the kinetic energy of the 2000 kg mass to the kinetic energy of the 500 kg mass is 4. This means that the 2000 kg mass has four times as much kinetic energy as the 500 kg mass, assuming they are traveling at the same speed.
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When a current of 3 amperes is run through the coiled heating element of a stove, the resistance of the element is 80 ohms. what is the voltage of the stove?
The voltage of the stove with a current of 3 amperes, which run through the coiled heating element of a stove and the resistance of the element is 80 ohms, is 360 volts.
Voltage, also known as electric pressure, is the difference in electric potential between two points. In a static electric field, it corresponds to the work needed per unit of charge to move a test charge between the two points.
From the question given
resistance (R) = 80 ohms
Current (I) = 3 amperes
from Ohm's law we will use this equation
V = I * R
= 3 * 80
= 240volts.
Therefore, the voltage of the stove is 240 volts.
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All of the following are examples of heat conduction except
a pressing a shirt with a hot iron.
b warming your hands over a campfire.
warming your hands by holding a cup of hot
chocolate.
C
d heating soup in a pan on a stovetop.
Answer:
b warming your hands over a campfire.
Explanation:
This is thermal radiation, not heat conduction
What is called wavelength Mcq?
The wavelength of a wave is the distance or length between its two subsequent crests or troughs.
What do you mean by wavelength?A wave's wavelength gives information about its length. The wavelength is the distance between the "crest" (top) of one wave and the crest of the following wave. The wavelength can also be determined by measuring from one wave's "trough" (bottom) to the following wave's "trough," with the same results.
Why is it known as a wavelength?Radio waves, light waves, and infrared (heat) waves are examples of electromagnetic radiation that flow through space in distinct patterns. Every wave is a specific size and shape. The distance between peaks is referred to as the "wavelength" (high points).
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a circular coil with an area of 0.0500 m2 is wrapped with 500 turns of wire and is placed in a uniform magnetic field perpendicular to its plane. if the field changes in value from -0.100 t to 0.150 t in an interval of 0.500 s, what is the magnitude of the average voltage induced in the coil?
The magnitude of the average voltage induced in the coil is 12.5 volt.
What is induced emf?
It is the creation of a potential difference in a coil as a result of variations in the magnetic flux flowing through it. To put it another way, it is said that electromotive force, or EMF, is created when the flux connecting with a conductor or coil changes.
Given that: a circular coil with an area of 0.0500 m^2 is wrapped with 500 turns of wire and the magnetic field changes in value from -0.100 T to 0.150 T in an interval of 0.500 s.
Hence, the magnitude of the average voltage induced in the coil is =
N ( B₂ - B₁) A/t
= 500(0.150 - (-0.100))0.0500/0.500 volt.
= 12.5 volt.
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find the volume of the given solid. bounded by the planes z = x, y = x, x + y = 9 and z = 0
The volume of the given solid is:
V = ∭(D) dx dy dz = (1/2) * 9/2 * 9/2 = 81/8
What is the method to find the volume?To find the volume of the solid, we can use the triple integral. Since the solid is bounded by the planes z = x, y = x, x + y = 9, and z = 0, we can write the integral as:
V = ∭(D) dV = ∭(D) dx dy dz
where D is the region bounded by the given planes.
To set up the triple integral, we need to determine the bounds for the variables x, y, and z. Since the solid is bounded by the planes z = x, x + y = 9, and y = x, we can express z in terms of x and y. We have:
z = x
Since x + y = 9, we can also express y in terms of x:
y = 9 - x
Substituting this expression for y into the equation for z, we get:
z = x = x
Therefore, the bounds for x are 0 ≤ x ≤ 9/2. The bounds for y are 0 ≤ y ≤ 9 - x, and the bounds for z are 0 ≤ z ≤ x.
Using these bounds, we can set up the triple integral as follows:
V = ∭(D) dx dy dz = ∫x=0 to x=9/2 ∫y=0 to y=9-x ∫z=0 to z=x 1 dz dy dx
Evaluating this integral, we find that the volume of the solid is:
V = ∭(D) dx dy dz = (1/2) * 9/2 * 9/2 = 81/8
Therefore, the volume of the solid is 81/8.
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Two ice-skaters, each with a mass of 50 kg, are stationary on a frictionless pond. One skater throws a 0.2 kg
at 5 m/s to the other skater who catches it. What are the velocities of the skaters when the ball is caught?
The velocities of the skaters when the ball is caught is 0.02m/s.
How to calculate?The mass of the skater is m1 = 50kg
The mass of the ball is m2= 0.02kg
The velocity of the ball is v1= 5m/s
According to the law of conservation of the momentum expression for finding the another skater velocity when catching the ball is ,
V2 = M2V1/ (m1 + m2 )
Substituting the values, we have
V2 = 0.02m/s
In conclusion, Velocity is described as the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.
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What are two examples of genetic factors?
One child has blonde hair like their mother, and their sibling has brown hair like their father; this is due to genetics. A baby's gender and the reasons why some diseases run in families are also influenced by DNA.
Two illustrations of genes:Many of your characteristics, like your skin and hair colors, are determined by genes that are passed down to you. Perhaps Emma's mother carries both the brown and red hair genes, and she gave Emma the red hair gene.
An alteration to just one copy of the gene results in the autosomal dominant inheritance pattern. Mutations in both copies of the gene pair create the autosomal recessive inheritance pattern.
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Question 20These are the predecessor building blocks for neurotransmitters.1.affinity2.synaptic vesicles3.none of these are correct4.enzyme5.precursor
Precursors are the building blocks or the starting materials that the body uses to synthesize neurotransmitters. The correct answer is 5. precursor.
What is Neurotransmitters?Neurotransmitters are chemical messengers that transmit signals between nerve cells in the brain and the rest of the body.
Here,
Precursors are the building blocks or the starting materials that the body uses to synthesize neurotransmitters. The process of neurotransmitter synthesis involves a series of enzymatic reactions, where precursors are transformed into neurotransmitters and stored in synaptic vesicles.
When a nerve impulse reaches the end of a neuron, the synaptic vesicles release the neurotransmitters into the synaptic cleft, where they bind to receptors on the postsynaptic neuron and transmit the signal. The neurotransmitter molecules are then either reabsorbed by the presynaptic neuron or broken down by enzymes, such as those involved in neurotransmitter degradation.
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a wooden block has a length of 4.0 cm, a width of 2.0 cm, and a height of 1.0 cm. what is the volume of this block in meters? ml
The volume of a block that has length of 4cm, width 2cm, and height 1cm in meters is 8 * [tex]10^{-6[/tex] m³.
How to calculate the volume of this block in meters?
The volume of block is basically multiplying the length, width, and height. Also, we can write the formula for volume in terms of the area of the base. The area of the base, B, is equal to length times width.
Given from the question
Length = 4cm = 0.04m
width = 2cm = 0.02m
height = 1cm = 0.01m
Volume of the block = length * width * height
= 0.04 * 0.02 * 0.01
= 8 * [tex]10^{-6[/tex] m³
Therefore, the volume of the block is 8 * [tex]10^{-6[/tex] m³.
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Calculate the density of each ball. Use the formula d = m/v where d is the density, m is the mass, and v is the volume. Record your calculations in table a of your student guide. What is the density of the table tennis ball? record your answer to the nearest hundredth. G/cm3 what is the density of the golf ball? record your answer to the nearest hundredth. G/cm3.
The density of the tennis ball = 0.38 g/cm³
The density of the golf ball = 1.13 g/cm³
The mass of the tennis ball = 56 g
The volume of the tennis ball = 149 cm³
The density of the tennis ball can be found using the formula,
d = m/v
where d is the density
m is the mass
v is the volume
Let us substitute the known values in the above equation, we get
d = 56 / 149
= 0.38 g/cm³
The mass of the golf ball = 45.9 g
The volume of the golf ball = 40.68 cm³
The density of the golf ball is
d = m/v
Let us substitute the known values in the above equation, we get
d = 45.9 / 40.68
= 1.13 g/cm³
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Answer: tennis ball 0.07 golf ball 1.15
Explanation:
charge q2 in the figure(figure 1) is in static equilibrium. assume that q = 6.0 nc .
Enthalpy Changes the overall energy change in the substance portrayed in the graph at 48°C which is the state of equillibrium.
What are the data that were obtained from the question?Mass (m) = 0.3 Kg
Initial temperature (T1) = 20°C
Heat (Q) added = 35 KJ
Specific heat capacity (C) = 4.18 KJ/Kg°C
Final temperature (T2)
The final temperature of water can be obtained as follow:
Q = MC(T2 – T1)
35 = 0.3 x 4.18 (T2 – 20)
35 = 1.254 (T2 – 20)
Clear the bracket
35 = 1.254T2 – 25.08
Collect like terms
1254T2 = 35 + 25.08
1.254T2 = 60.08
Divide both side by the coefficient of T2 i.e 1.254
T2 = 60.08/1.254
T2 = 47.9 ≈ 48°C
Therefore, the final temperature of the water is 48°C.
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a round flat metal coil has 180 turns and negligible resistance. it is connected in a series circuit with a resistor, with nothing else in the circuit. you measure that a current flows through the resistor when a magnetic field through the coil, perpendicular to its area, is changing at what is the radius of the coil?
0.25 m is the radius of the coil. when a round flat metal coil has 180 turns and negligible resistance.
What does the term "resistance" mean?the action of defending oneself from an aggressor or refusing to accept something.
We must take the Faraday law into account in order to explain this issue.
When the magnetic field changes due to the induced emf, as indicated by the equation d/dt, the voltage equals I*R=17*6=102 V.
After a coil, the magnetic flux is as follows:
If N is equal to N*A*B, then d is equal to N*A*dB/dt, where A and N are the coil's area and number of turns.
A=*R2, where R is the coil's radius.
Finally, there is;
dФ/dt= N*π*R^2*dB/dt then
R= [dФ/dt/(N*π*dB/dt)]^1/2= [102/(180*π*3)]1/2=245.2*10^-3=≅0.25m
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HELP found the missing number and what type of decay is the equation
The missing number is 225 and the decay is the beta decay in the given reaction.
What is Beta decay?In nuclear physics, beta decay can be described as a type of radioactive decay in which a beta particle is emitted from an atomic nucleus, transforming the original nuclide. Beta decay of a neutron transforms a nuclide into a proton by the emission of an electron accompanied by an antineutrino.
The two types of beta decay are known. In beta minus (β⁻) decay, a neutron is transformed to a proton, and the process forms an electron and an electron antineutrino; while in beta plus (β⁺) decay, a proton is transformed to a neutron and the process forms a positron and an electron neutrino and β+ decay is called positron emission
[tex]^{225}Ra_{88} \longrightarrow ^0e_{-1} + ^{225}Ra_{87}[/tex]
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(13%) Problem 7: Consider the Lyman series for atomic transitions in hydrogen: 50% Part Calculate the wavelength the first line in the Lyman series, in nanometers 50% Part (b) What type of electromagnetic radiation is it?
The wave length of first line of Lyman series is 121.5 nm in Ultraviolet radiation.
The wave length of first line of Lyman series is
1/λ = R (1/1² - 1/2²) = 1.097 × [tex]10^{7}[/tex](1 - 1/4)
λ = 121.5 nm
b) Ultraviolet.
Sunlight and man-made sources, such tanning beds, both release non-ionizing radiation known as ultraviolet radiation. It can be risky to one's health even if it offers some advantages to humans, such as the production of vitamin D. UV radiation from the sun is defended against by broad-spectrum sunscreen. Most UVA radiation reaches the surface of the Earth; the atmosphere does nothing to block these rays. In addition to causing eye damage and skin aging, UVA radiation can weaken your body's immune system. To destroy bacteria, produce luminous effects, cure inks and resins, cure suntan lotion, cure inks and resins, and cure inks and resins, UV radiation is widely utilized in industrial processes as well as in medical and dental services. Various UV applications call for varied UV wavelengths and intensities
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A student must determine the inertial mass of a block that is pulled across a horizontal surface using a force probe and an accelerometer. The student's data are represented in the graph above. What must the student do to determine the inertial mass of the block?
a. Determine the y-intercept.
b. Calculate the slope.
c. Calculate the area under the line.
d. Determine the x-intercept.
Answer: Calculate the slope.
Explanation:
Answer:
B. Calculate the slope
Explanation:
The other choices, determining the y-intercept, calculating the area under the line, and determining the x-intercept, are not relevant to determining the inertial mass of the block.
65% Wed 11:13 PM MyMassasoit Login a In a downhill ski race, surprisingly, little advantage is gained by getting a running start. (This small hills.) To demonstrate this, find the final speed in m/s and the time taken in seconds for a skier who skies 67.0 m along a 25° slope neglecting friction for the following two cases. (En speeds to at least one decimal place Your s is because the initial kinetic energy is small compared with the gain in gravitational potential energy even on (a) starting from rest final speed the final m/s time takern (b) starting with an initial speed of 3,40 m/s final speed m/s time taken (c) Does the answer surprise you? Discuss why it is still advantageous to get a running start in very competitive events. Reading
Find the ski race's end speed in m/s and the time it took to show that, shockingly, obtaining a running start offers very little advantage.
Find the ultimate speed and the time required for a skier to travel 60.0 metres over a 25-degree slope to illustrate this. Two times 70 divided by 2.5 metres per second for the initial speed plus 26.3106 metres per second for the end speed is the formula we used to solve for t. The entire amount of time required to descend the slope is 4.86 seconds. advantage Skis slide because the tiny layer of snow beneath them melts as a result of friction converting your kinetic energy (skiing) into thermal energy (heat). In downhill skiing, for instance, when the athlete is propelled down
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Is frequency and wavelength the same?
Answer: No
Explanation:
Frequency is how often each wave passes
Wavelength is the physical measure of the length of each wave
What happens when a ball collides with a stationary ball?
When a ball collides with a stationary ball it will cause an elastic collision.
An elastic collision is the one in which there will be no net loss of kinetic energy in the system as a result of the collision. In a head-on collision with a stationary object of the same mass, the projectile stops and the target leaves at the same velocity as if a cue ball were shot head-on at a pool table. When a moving object collides with a stationary object of the same mass, the stationary object experiences a greater change in momentum. A moving object which collides with a stationary object. A stationary object has a significantly smaller mass. Objects at rest experience greater impact forces.
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