a 5.84-kg bowling ball moving at 8.78 m/s collides with a 0.872-kg bowling pin, which is scattered at an angle to the initial direction of the bowling ball and with a speed of 15.0 m/s. what is the magnitude of the final velocity of the bowling ball?
Answers
Summary:
The magnitude of the final velocity of the bowling ball can be calculated using the principles of conservation of momentum and energy. By applying these principles and using the given masses and velocities of the bowling ball and bowling pin, the final velocity of the bowling ball is determined to be 6.21 m/s.
Explanation:
To find the final velocity of the bowling ball, we can apply the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision, assuming no external forces are involved.
The initial momentum of the system can be calculated by multiplying the mass of the bowling ball by its initial velocity, and the final momentum can be calculated by multiplying the mass of the bowling ball by its final velocity. Since the bowling pin is scattered at an angle, we need to consider the vector components of its velocity.
Using the principle of conservation of momentum, we can equate the initial momentum to the final momentum:
(mass of bowling ball * initial velocity of bowling ball) = (mass of bowling ball * final velocity of bowling ball) + (mass of bowling pin * final velocity of bowling pin)
By substituting the given values, we can solve for the final velocity of the bowling ball.
Additionally, we can consider the principle of conservation of energy, which states that the total energy before the collision is equal to the total energy after the collision. In this case, since there are no external forces, the kinetic energy is conserved. By equating the initial kinetic energy to the final kinetic energy, we can verify our calculated final velocity.
Using these principles and the given values, the magnitude of the final velocity of the bowling ball is determined to be 6.21 m/s.
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Related Questions
A cylindrical iceberg of height H floats in sea water. The top of the iceberg is at height h above
the surface of the water.
The density of ice is Pi and the density of sea water is Pw.
What is the height h of the iceberg above the sea water?
A.[1-(Pi/Pw)]×H B.[(Pi/Pw)-1]×H C.(Pw/Pi)×H D.(Pi/Pw)×H
Answers
Answer:
dang
Explanation:
Which situations might cause two observers (A and B) to measure different frequencies for the same vibrating object? Select the two correct answers. (2 points)
Observer A and Observer B are both stationary and at the same distance from the object.
Observer A and Observer B are both stationary and at the same distance from the object.
Observer A is stationary and Observer B is moving.
Observer A is stationary and Observer B is moving.
Observer A and Observer B are moving at different speeds relative to each other.
Observer A and Observer B are moving at different speeds relative to each other.
Observer A and Observer B are stationary but at different distances from the vibrating object.
Answers
We want to explain why two different observes may measure different frequencies for the same vibrating object.
We will see that the two correct options are:
Observer A is stationary and Observer B is moving.Observer A and Observer B are moving at different speeds relative to each other.Let's assume that the vibrating object is a guitar string. Thus, the string makes a noise, and from that noise, we can estimate the frequency at which the string vibrates.
Now there appears a really cool effect, called the Doppler Effect. It says that the apparent change of frequency is due to the motion of the observer or the source of the frequency (or both).
For example, if you move towards the vibrating string, the perceived frequency will be larger, and you will hear a "higher" sound.
While if you move away from the string, the opposite happens, and you will hear a "lower" sound.
Then the only thing that impacts in how we perceive the frequency is our velocity relative to the source.
So, why do observers A and B measure different frequencies?
The two correct answers are:
Observer A is stationary and Observer B is moving.Observer A and Observer B are moving at different speeds relative to each other.If you want to learn more, you can read:
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Your Answers for Redshift and Blueshift Quick Check are down here ↓
Which situations might cause two observers (A and B) to measure different frequencies for the same vibrating object? Select the two correct answers. (2 points)
Observer A is stationary and Observer B is moving. * A = yes
Observer A and Observer B are moving at different speeds relative to each other. * B = yes
Observer A and Observer B are stationary but at different distances from the vibrating object. No
Observer A and Observer B are both stationary and at the same distance from the object. No
Why do scientists observe blueshift in certain stars?(1 point)
Light wave frequencies increase as an object moves toward the observer. * A = yes
Stars with lower temperatures emit more light waves at the blue end of the spectrum. No
Light wave frequencies decrease as an object moves toward the observer. No
Stars with higher temperatures emit more light waves at the blue end of the spectrum. No
When will a scientist observe redshift in the spectrum of a distant space object?(1 point)
when the object is stationary. No
when the object is moving toward the scientis. No
when the object is moving away from the scientist * C = yes
when the object is in the same frame of reference as the scientist. No
Hope this helps :) . Your Welcome, and Hope you guys are doing good in school!!
Light with a photon energy of 3 ev impinges on the surface of a material with work function 0.6 ev to eject electrons. what is the kinetic energy of the outgoing electrons
Answers
Answer:
KE = incident energy - work function
The maximum KE will be (3 - .6) eV = 2.4 eV
A particle beam is made up of many protons, each with a kinetic energy of 3. 25times 10-15 J. A proton has a mass of 1. 673 times 10-27 kg and a charge of +1. 602 times 10-19 C. What is the magnitude of a uniform electric field that will stop these protons in a distance of 2 m?
Answers
The magnitude of the uniform electric field required to stop the protons in a distance of 2 m is 1.10 x 10^32 N/C.
To solve this problem, we need to use the equation for the work done by an electric field on a charged particle:
W = qEd
First, we need to calculate the velocity of the protons:
\(K = 1/2 mv^2 \\v = sqrt(2K/m)\)
Plugging in the values, we get:
\(v = sqrt(2 * 3.25 * 10^{-15} J / 1.673 * 10^{-27} kg)\\v = 5.94 * 10^6 m/s\)
Time it takes for the proton to stop:
\(t = d/v \\t = 2 m / 5.94 * 10^6 m/s \\t = 3.37 * 10^-7 s\)
Finally, we can use the time and the acceleration due to the electric field to calculate the electric field strength:
\(a = v/t \\a = 5.94 * 10^6 m/s / 3.37 * 10^{-7} s\\a = 1.76 * 10^13 m/s^2\)
\(E = a/q \\E = 1.76 * 10^{13} m/s^2 / 1.602 * 10^{-19} C\\E = 1.10 * 10^{32} N/C\)
Therefore, the magnitude of the uniform electric field required to stop the protons in a distance of 2 m is 1.10 x 10^32 N/C.
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a sledge (including load) weighs 5000 n. it is pulled on level snow by a dog team exerting a horizontal force on it. the coefficient of kinetic friction between the sledge and now is .05. how much work is done by the dog team pulling the sledge 1000 m at constant speed
Answers
The dog team does 250,000 Joules of work while pulling the sled 1000 meters at a constant speed.
The work done by the dog team pulling the sled:
The work done is given by the formula:
Work = Force × Distance × cos(Θ)
The applied force can be calculated as the sum of the force required to overcome the friction and the force required to maintain a constant speed.
Force(friction) = coefficient of kinetic friction × Normal force
Normal force = weight of sledge = 5000 N
Force(friction) = 0.05 × 5000 = 250 N
Force(applied) = Force(friction) = 250 N
Work = Force(applied) × Distance
Work = 250 × 1000
Work = 250,000 Nm
Work = 250,000 Joules
Therefore, the dog team does 250,000 Joules of work while pulling the sled 1000 meters at a constant speed.
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A small, circular ring is inside a larger loop that is connected to a battery and a switch, as shown in the figure below. Use Lenz's law to find the direction of the current induced in the small ring at the following times. (a) just after switch S is closed clockwise counterclockwise O There is no inducted current (b) after S has been closed a long time clockwise counterclockwise O There is no inducted current. (c) just after S has been reopened after being closed a long time O clockwise counterclockwise There is no inducted current.
Answers
a) The direction of the current induced in the small ring is counterclockwise.
b) Therefore, there is no current induced in the small ring.
c) Therefore, the direction of the current induced in the small ring is clockwise.
Based on Lenz's law, the direction of the induced current in a closed loop is such that it opposes the change in magnetic flux through the loop.
(a) Just after switch S is closed, the magnetic field through the larger loop increases in the clockwise direction (due to the battery), which would induce a counterclockwise current in the small ring to oppose this change. Therefore, the direction of the current induced in the small ring is counterclockwise.
(b) After S has been closed for a long time, the magnetic field in the larger loop becomes constant, so there is no change in magnetic flux through the small ring. Therefore, there is no current induced in the small ring.
(c) Just after S has been reopened, the magnetic field through the larger loop decreases in the clockwise direction (due to the battery being disconnected), which would induce a clockwise current in the small ring to oppose this change. Therefore, the direction of the current induced in the small ring is clockwise.
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SCIENCE PLEASE HELPP!!!!
Use evidence and reasoning to support the claim that a stronger force changes velocity more than a weaker force.
Write in own words. And simply bc my teacher knows I'm an idiot :)
Answers
Answer:
A stronger force changes increases velocity more due to increased acceleration on the object if the mass is constant as compared to a weaker force.
Explanation:
Force affects how objects behave in terms of motion, direction, shape etc. When an object is in a state of rest, then force is applied, the object starts to move is a particular direction. Increase in the force applied will make the object to speed up which is to say the velocity will increase.
For example:
When a ball is kicked with a player with a force of 10 N the velocity of the ball is recorded to be 3 m/s. When the player is replaced with a kid the force on the ball is 2 N and its velocity is recorded to be 0.3 m/s.
Reasoning
Increased in force applied on an object increases its acceleration resulting to a higher velocity of the object.
F= m * a --------if mass is constant , increased force will increase acceleration and speed up the object.
The normal human body temperature is 98.6°F. A person with a fever may record 102°F. Express these temperatures in degrees Celsius.
Need an answer please
Answers
The corresponding values of the temperatures in 98.6°F and 102°F in Celsius scale are 37°C and 38.89°C
What is a temperature scale?There are three temperature scales in use , Fahrenheit, Celsius and Kelvin. Fahrenheit temperature scale is a scale based on 32 for the freezing point of water and 212 for the boiling point of water, the interval between the two is 180.
In Celsius scale the freezing point is 0°C and the melting point is 100°C. The difference is 100
The conversion of fahrenheit to Celsius scale is given by the formula C= 100( F-32)/180
Where F is the fahrenheit value of the temperature and C is the Celsius value
Therefore, for 98.6°F, C = 100(98.6-32)/180= 6660/180= 37°C
for 102°F,. C= 100(102-32)/180=7000/180= 38.89°C
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A man takes 16 breaths per minute at 18 degree Celsius and 760mmHg. What is the rate of breathing on a mountain top where the temperature is 5 degree Celsius and the pressure is 240
Answers
The new breathing rate on the mountain top would be approximately 12.6 grams of nitrogen per minute.
What is the rate of breathing on a mountain top?To calculate the new breathing rate at a different altitude with different temperature and pressure, we can use the formula for the Ideal Gas Law:
PV = nRT
where;
P is the pressure, V is the volume, n is the number of molesR is the gas constant, and T is the temperature.Assuming that the volume of air breathed in and out remains constant, we can rearrange the Ideal Gas Law formula to solve for n/V, which gives us the number of moles of air per unit volume of air:
n/V = P/RT
If we assume that the air being breathed is mostly nitrogen, which makes up about 78% of the atmosphere, we can use the molar mass of nitrogen (28.0134 g/mol) to convert from moles of air to grams of nitrogen.
So the formula for the rate of breathing in grams of nitrogen per minute is:
Rate = (n/V) x (molar mass of nitrogen) x (breathing rate in breaths per minute)
First, we need to convert the pressure from 760 mmHg to 240 mmHg:
P1/T1 = P2/T2
where;
P1 is the initial pressure, T1 is the initial temperature, P2 is the new pressure, and T2 is the new temperature.Solving for P2:
P2 = P1 x (T2/T1) = 760 mmHg x (5+273.15)/(18+273.15) = 602.5 mmHg
Now we can calculate the new n/V:
(n/V)2 = (P2/RT2) = (602.5 mmHg)/(0.0821 L atm/mol K x 278.15 K) = 0.0268 mol/L
Finally, we can calculate the new breathing rate in grams of nitrogen per minute:
Rate2 = (n/V)2 x (28.0134 g/mol) x (16 breaths/min) = 12.6 g/min
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the turns ratio of a transformer that is rated for a primary voltage of 2,400 volts and has a secondary rating of 120 volts is ? :1.
Answers
The turns ratio of this transformer can be calculated by dividing the primary voltage by the secondary voltage. So, the turns ratio of this transformer is 20:1. This means that for every 20 turns of wire in the primary coil, there is only 1 turn of wire in the secondary coil.
This ratio determines the voltage transformation between the primary and secondary coils. In this case, the transformer is stepping down the voltage from 2,400 volts to 120 volts. Transformers are crucial in electrical power distribution and are used to change the voltage of electrical energy as it travels from power stations to homes and businesses. By changing the voltage, transformers enable efficient transmission of electrical energy over long distances with minimal energy loss. Different types of transformers are used for different applications, depending on the voltage and current requirements of the electrical systems involved.
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helppppppppppppppppppppppp
Answers
Explanation:
v²= u² + 2as
v= final velocity.
u= initial velocity.
a= acceleration.
s= distance.
Thr different between a solid and a gas I as that
Answers
Wrong answers:
A and B both state that solids are fluid while gases are not, while in reality, it is the opposite. Gases are fluid while solids are not.
C states the inverse of D, so C is incorrect.
Correct answer:
D. Solids have low energy levels and gases have high energy levels
This is because matter is in gas form when the temperature is higher and when the matter has absorbed more heat. More heat means more energy, so gases contain more energy than solids.
Matter, or "stuff", can be in multiple states, such as solid and gas.
The state of matter depends on how much energy the matter has absorbed.
Matter becomes a gas as more energy is added, and becomes a solid as more energy is removed.
This makes sense, because the individual molecules in a solid don't move as much, while the molecules in a gas move around quite a lot.
This makes gases easier to move around and change shape than solids.
Generally, as matter absorbs more heat and turns from solid to liquid to gas, the matter expands, and takes up more space.
This is because the more energy matter has, the more the molecules move and vibrate around, meaning they need more space to do so, so they expand.
8. A rocket has a mass of 1200 kg. It is launched with an initial thrust of 20000 N. The air resistance at
launch is negligible. What is the magnitude of the acceleration of the rocket, at the launch? =
10
m/s)
Answers
A student says that the two terms speed and frequency of the wave refer to the same thing. What is your response?
Answers
Answer:
He is wrong!
Explanation:
Frequency refers to how many wave lengths pass in a second and speed is how fast the wave is traveling for example the speed of light goes really fast but has a mid-level frequency.
Hope this helps! ;-)
The absolute brightness of a star depends on its _____.
a. size and temperature
b. distance an temperature
c. color and temperature
d. distance and color
Answers
Option A. The absolute brightness of a star depends on its size and temperature
What is the absolute brightness of a star
The absolute brightness of a star is the amount of light it emits at a standard distance from Earth, regardless of how far away it actually is.
The size and temperature of a star are the primary factors that determine its absolute brightness. The size of the star affects the amount of light it emits, with larger stars emitting more light. The temperature of a star affects the color of the light it emits, with hotter stars emitting bluer light and cooler stars emitting redder light. Both of these factors play a significant role in determining a star's absolute brightness.
Distance and color can also affect a star's brightness, but in different ways. The distance of a star affects its apparent brightness as seen from Earth, but not its absolute brightness. The color of a star can provide information about its temperature and composition, but does not directly determine its absolute brightness.
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A 16 kg object and a 25 kg object are connected by a massless compressed spring and rest on a frictionless table. After the spring is released, the object with the smaller mass has a velocity of 4 m/s to the left. What is the velocity of the object with the larger mass?
Answer in units of m/s.
Answers
The velocity of the object with the larger mass is 2.56 m/s.
The given parameters:
Mass of the first object, m₁ = 16 kgMass of the second object, m₂ = 25 kgSpeed of the smaller object, v₁ = 4 m/sSpeed of the larger object, v₂ = ?The speed of the larger mass is determined by applying the principle of conservation of linear momentum as follows;
\(m_1v_1 = m_2v_2\\\\v_2 = \frac{m_1v_1}{m_2} \\\\v_2 = \frac{16\times 4}{25} \\\\v_2 = 2.56 \ m/s\)
Thus, the velocity of the object with the larger mass is 2.56 m/s.
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An observer views a spectrum and notes two characteristics of the spectrum:
1) most of the colors of a continuous spectrum are present,
2) at certain wavelengths, light is missing such that several dark lines are seen in the spectrum.
Describe the objects that are causing this spectrum to be seen. Be sure to state the relative temperatures of the objects that are involved in creating this spectrum.
Answers
The spectrum seen is the absorption spectrum. The wavelengths corresponding to those of the material through which light is being passed are absorbed, which leads to the occurrence of several dark lines in the spectrum.
White light when the incident with the object caused it to absorb the wavelengths corresponding to its excitation energy. These are characteristics of a particular atom/molecule.
Hence using this those can be identified. The absorption of the external energy leads the atoms to go to an excited state, hence the temperature increases.
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predict the deflection of the pointer (if any) when the power supply is turned on
Answers
The deflection of the pointer when the power supply is turned on is expected to be towards the positive side. Here's why A galvanometer is an instrument that is used to measure the flow of current in a circuit. It consists of a coil that is placed inside a magnetic field.
When a current passes through the coil, it experiences a force that causes it to move.The direction of the movement of the coil depends on the direction of the current passing through it. If the current is flowing in one direction, the coil will move in one direction. If the current is flowing in the opposite direction, the coil will move in the opposite direction.The deflection of the pointer in a galvanometer depends on the direction of the current flowing through the coil. When the power supply is turned on, a current will start flowing through the coil in the galvanometer. Since the coil is placed inside a magnetic field, it will experience a force that causes it to move.
The direction of the force that the coil experiences is determined by the direction of the current flowing through it and the direction of the magnetic field. Since the magnetic field is fixed, the direction of the force depends on the direction of the current. If the current is flowing in one direction, the force will be in one direction. If the current is flowing in the opposite direction, the force will be in the opposite direction.The deflection of the pointer will be towards the positive side if the current flowing through the coil is in the same direction as the magnetic field. If the current is flowing in the opposite direction, the deflection will be towards the negative side.
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What are the positives and negatives of friction?
Answers
Answer:
Positives (advantages) of Friction:
Friction is responsible for many types of motion -
It helps us walk on the groundBrakes in a car make use of friction to stop the carAsteroids are burnt in the atmosphere before reaching Earth due to friction.It helps in the generation of heat when we rub our hands.Negatives (disadvantages) of Friction:
Friction produces unnecessary heat leading to the wastage of energy.The force of friction acts in the opposite direction of motion, so friction slows down the motion of moving objects.Forest fires are caused due to the friction between tree branches.A lot of money goes into preventing friction and the usual wear and tear caused by it by using techniques like greasing and oiling.. Which example is NOT an example of Simple Harmonic Motion.
Answers
The example that is NOT an example of Simple Harmonic Motion is:
A ball rolling down a hill.
Simple Harmonic Motion is a type of periodic motion where the restoring force is proportional to the displacement from equilibrium and is directed towards the equilibrium point. The classic example of simple harmonic motion is the motion of a mass attached to a spring that is oscillating back and forth. Other examples of simple harmonic motion include a pendulum swinging back and forth and the vibration of a guitar string.
A ball rolling down a hill does not exhibit simple harmonic motion because it does not have a restoring force that is proportional to the displacement from equilibrium. The motion of the ball is affected by the force of gravity, which is not directed towards the equilibrium point, and the frictional force between the ball and the surface of the hill, which is not proportional to the displacement from equilibrium. Therefore, it is not an example of simple harmonic motion.
Which analogy best explains why inflation predicts that the overall geometry of the observable universe should appear to be flat?.
Answers
Because of how large Earth is, an ant's exploration of it makes it appear flat. It appears that the Big Bang theory explains how components were created in the first few minutes following the Big Bang.
What does Earth actually go by?Contrary to popular belief, Earth doesn't provide an official international name. The word "Terra" is merely a common misunderstanding of the scientific name for the planet. "Earth" is the commonly used English name for the planet, particularly in scientific contexts.
Is the Earth a star?A planet like the Earth revolves around a star called the sun. A star is typically understood to be a mass of gas that is sufficiently massive and dense to enable nuclear fusion to occur at its core.
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you go on a car trip with your family. The total distance you travel is 120 miles, and it takes 3 hours to travel that far. What is the average speed?
Answers
Answer: Since Distance= Rate X Time
Average Speed = Total Distance/ Total Time
Average Speed = 120 miles /3 hours
Average Speed = 40 miles per hour (40m/h)
Explanation:
Assume that a satellite with a mass of 500kg orbits Earth 225km above its surface. Given that the mass of Earth is 5.97 x 10^24 kg and the radius of Earth is 6.38 x 10^6 m. (A)
What is the force of gravity that acts on the satellite? (B) What is the speed of the Satellites orbit
Answers
With the use of formulas, the force of gravity on the satellite is 4563.8 N and the speed of the Satellites is 7764.5 m/s
What is Newton's Law of Gravitation ?It states that the force of attraction between two object is proportional to the product of the masses and inversely proportional to the square of the distance between them.
Assume that a satellite with a mass of 500kg orbits Earth 225km above its surface. Given that the mass of Earth is 5.97 x 10^24 kg and the radius of Earth is 6.38 x 10^6 m.
(A) The force of gravity that acts on the satellite will be
F = GMm/r²
Where
G = 6.67 × 10^-11 Nm²/kg²M = 5.97 x 10^24 kgm = 500kgr = 6.38 x 10^6 m + 225 000 m = 6605000 mF = ?Substitute all the parameters
F = (6.67 × 10^-11 × 5.97 x 10^24 × 500)/6605000²
F = 4563.8 N
(B) The speed of the Satellites orbit will be
v = √GM/r
v = √(6.67 × 10^-11 × 5.97 x 10^24 )/6605000
v = √60287509.5
v = 7764.5 m/s
Therefore, the force of gravity that acts on the satellite is 4563.8 N and the speed of the Satellites orbit is 7764.5 m/s
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An electric motor takes 8.16 A from a 110 V line. How much energy is consumed in 0.29 hour? Express your answer in kW h.
Answers
First, let's calculate the power used by the motor with the formula below:
\(\begin{gathered} P=I\cdot V\\ \\ P=8.16\cdot110\\ \\ P=897.6\text{ W}=0.8976\text{ kW} \end{gathered}\)Now, let's multiply the power by the time to find the energy consumed:
\(\begin{gathered} E=P\cdot t\\ \\ E=0.8976\cdot0.29\\ \\ E=0.26\text{ kWh} \end{gathered}\)What are the latitude and longitude coordinates for Location C? 1) 50N, 68S 2) 50N, 68W 3) 50S, 68E 4) 50S, 68W Which is farther- the distance between Location B and the Equator or the distance between Location C and the Equator? 1) Location B and the Equator 2) Location C and the Equator 3) Locations B and C are the same distance from the Equator 4) Cannot discern from the information provided
Answers
The latitude and longitude coordinates for Location C are given as 50S, 68W. Therefore, the correct answer is 4) Cannot discern from the information provided.
Latitude and longitudinal lines are shown on a globe of Earth as parallel and vertical lines. To determine which distance is farther, we need to compare the distance between Location B and the Equator with the distance between Location C and the Equator.
However, the latitude and longitude coordinates for Location B and the specific direction or coordinates of the Equator are not provided. Without this information, it is not possible to determine which distance is farther between Location B and the Equator or Location C and the Equator.
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what is the acceleration caused by gravity on earth
Answers
Answer:
Explanation:
It's 9.8 m/s^2
22. сс Peter exerts a horizontal force of 500 N on a box of mass 2.0 kg which also experiences a friction force of 200 N. If it takes 4.0 s to move the box 3.0 m, what is the efficiency in moving the box? Efficiency 2 Energy coming in energy going X 100 %. (c) ABUD 29% 40% 60% 71% FH301/P1/19 ont.
Answers
The efficiency of moving the box is 60%.
Given in the question
Force exerted by peter = 500 N
Force due to friction on box = 200 N
Distance Traveled by box = 3 meters
Now work done by the force is given by
Work Done = (Magnitude of Force) × (Distance traveled)
Let us find work done by each force,
Work done by peter
Work Done = (Magnitude of Force) × (Distance traveled)
Put in the value, we get
Work Done =500 × 3
Work Done by peter = 1500 J
Similarly, Work done by friction
Work Done = (Magnitude of Force) × (Distance traveled)
Put in the value, we get
Work Done =200 × 3
Work Done by Friction = 600 J
As we know the work done by friction force is always negative,
Work Done by Friction = -600 J
So, net Work done = Work Done by peter + Work Done by Friction
net Work done = 1500 - 600
Net Work done = 900 J
Now Efficiency = (Net work done/work done by peter) × 100
Put in the values, we get
Efficiency = (900/1500) × 100
Efficiency = (3/5) × 100
Efficiency = 300/5
Efficiency = 60 %
So, the efficiency of moving the box is 60%.
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(b) If the straight-line distance from her home to the university is 10.3 km in a direction 25.0° south of east, what was her average velocity?
Answers
Answer:
The time taken is missing in the question. The time is 18 minutes.
The answer is 34.3 km/hr
Explanation:
Average velocity is the speed or the velocity which is required to cover a distance in a time interval.
The time taken is = 18 min
= 18/60 hours
The distance from the university to her home is = 10.3 km
Therefore, the average velocity is = displacement/time taken
= 10.3 / (18/60) km/hr
= 34.3 km/hr
Hence, the average velocity is 34.3 km/hr
Two cars, with the same mass and traveling at the same speed, hit large trees head-on. One car has a rigid body that undergoes little or no deformation in the collision. The other has ``crumple zones'': portions of the body designed to crumple and deform in such a collision. How does this improve the chances that the driver of the second car will survive the event
Answers
The crumple zones in the second car will improve the chance of survival of the driver because it will act as shock absorber, reducing the impact of the force on the driver.
Newton's third law of motion
According to Newton's third law of motion, action and reaction are equal and opposite.
The car with rigid body will exert maximum force to the driver while the car with crumple zone will exert lesser force to the driver since the crumple zone will act as shock absorber, reducing the impact of the force on the driver.
Thus, the crumple zones in the second car will improve the chance of survival of the driver because it will act as shock absorber, reducing the impact of the force on the driver.
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The guitarist shortens the oscillating length of the properly tuned D-string by 0.15 m by pressing on the string with a finger. What is the fundamental frequency, in hertz, of the new tone that is produced when the string is plucked?
Answers
Answer:
The fundamental frequency is "190.52 Hz".
Explanation:
The given question is incomplete, please find attachment of the complete problem.
The given values are:
Frequency,
f = 146.8 Hz
Length of D-string,
L = 0.61
As we know,
⇒ \(f = \frac{v}{2L}\)
On putting the given values, we get
⇒ \(146.8 = \frac{v}{(2\times 0.61)}\)
⇒ \(v=146.8\times 1.22\)
⇒ \(v=179 \ m/s\)
So,
The new length will be:
⇒ \(f = \frac{179}{(2\times 0.47)}\)
⇒ \(=\frac{179}{0.94}\)
⇒ \(=190.52 \ Hz\)
The fundamental frequency, in hertz, of the new tone that is produced when the string is plucked is 168.84 Hz
Let assume that the oscillating length on the guitar is 0.62 m,
If the guitarist shortens the oscillating length of the properly tuned D-string by 0.15 m.
Then the new length of the oscillating string L' = (0.62 - 0.15 )m = 0.47 m
The fundamental frequency of the new tone can be computed by using the formula:
\(\mathbf{f = \dfrac{1}{2L'} \sqrt{\dfrac{T}{m/L}}}\)
where;
mass (m) is assumed to be 1.5× 10⁻³ kg, and;tension T = 4Lf² mT = 4× 0.62× 147 × 1.5× 10⁻³ (assuming old fundamental frequency = 147)
T = 4× 0.62× 147 × 1.5× 10⁻³
T = 80.39 N
∴
\(\mathbf{f = \dfrac{1}{2 \times 0.47} \sqrt{\dfrac{80.39}{1.5 \times 10^{-3}/0.47}}}\)
f = 168.84 Hz
Therefore, the fundamental frequency, in hertz, of the new tone that is produced when the string is plucked is 168.84 Hz
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