If the 300 gram billiard ball of 30 mm radius is struck by a cue stick that exerts an average force of 600 N horizontally over a 0.005 s interval. Immediately after being hit, the billiard ball rolls without slipping. Then the height and velocity is 2.85 m & 7.5 m/s.
Given data:The mass of the billiard ball, m = 300 g = 0.3 kgRadius of the billiard ball, r = 30 mm = 0.03 mAverage force exerted by the cue stick, F = 600 N
Duration of the collision, t = 0.005 s Let's determine the height of the cue stick using the principle of conservation of energy.According to the principle of conservation of energy, the initial energy of the ball and the cue stick system should be equal to the final energy of the system.
Energy of the system before collision = Potential energy = mghEnergy of the system after the collision = Kinetic energy = (1/2)mv²
Now, equating both the energies, we get:mgh = (1/2)mv²... (1)
where h is the height of the cue stick and v is the velocity of the ball after the impact.Let's determine the velocity of the ball using the principle of impulse and momentum.
According to the principle of impulse and momentum, the impulse experienced by the ball is equal to the change in momentum of the ball.Impulse = F × t Change in momentum = mv - 0... (2
)Here, v is the velocity of the ball after the impact.Now, equating both the equations (1) and (2), we get:
mgh = (1/2)mv²⇒ v² = 2gh... (3)And,F × t = mv... (4)
Squaring both sides of equation (4), we get:(Ft)² = m²v² ⇒ v² = (Ft)²/m²... (5)Substituting the value of v² from equation (5) into equation (3), we get:
(Ft)²/m² = 2gh⇒ h = (Ft)²/2mg... (6)Substituting the given values into equation (6), we get:h = [(600 N × 0.005 s)²/(2 × 0.3 kg × 9.8 m/s²)] = 2.85 m
Therefore, the height of the cue stick is 2.85 m.Now, substituting the value of h into equation (3), we get:v² = 2gh⇒ v² = 2 × 9.8 m/s² × 2.85 m = 56.28 m²/s²⇒ v = √56.28 = 7.5 m/s Therefore, the velocity of the ball after the impact is 7.5 m/s.
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How many seconds are in a day?
Answer:86,400
Explanation:
If a circuit has no components in it will the voltage be high or low
Answer: its low
Explanation:
How far will a 70 N crate be moved if 3500 J of work is accomplished?
Answer:
18 meters
Explanation:
describe 2 applications of surface tension
If an Isotope has a Half-life of minutes. How many Half-life's have occurred after 24 minutes?
Answer:12
Explanation:
Where can I find springs that are the same size as the ones in a mechanical pencil
Answer:
Staples, Bestbuy, Maybe Homedepot
Explanation:
Answer:
find the mechanical pencil on amazon
Explanation:
amazon has everything!
HOPETHIS HELPS!
brailiest? please....
what is the apparant position of an object bellw a 6cm thick rectangular block of glass if a 4 cm water is on top of glass
note:in my book it took mew of glass independently .. (I mean with air but there is water is top of it, will it affect mew ?) (a pic is attached check it)
Yes, the presence of water on top of the glass block will affect the apparent position of the object.
Total apparent depth of the block and water is 8 cm.
Why does water affect apparent position?This is because the light rays passing through the water will refract or bend as they enter the glass block, and then bend again as they exit the glass and enter the air above.
To determine the apparent position of the object, you will need to know the refractive indices of water and glass. The refractive index of water is 1.33, and the refractive index of glass is typically around 1.5.
Assuming the light rays are traveling perpendicular to the surfaces of the block, the apparent depth of the block as seen from above the water line will be:
apparent depth = actual depth / refractive index
For the water, the apparent depth is simply its actual depth, since the light rays are not refracted when passing from air to water.
So, for the glass block:
apparent depth = 6 cm / 1.5 = 4 cm
And for the water:
apparent depth = 4 cm
Therefore, the total apparent depth of the block and water is 4 + 4 = 8 cm. If an object is placed below the water line but above the top surface of the block, its apparent position will appear to be shifted upward by this amount.
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What are the characteristics of continental tropical air masses?
They have cool, dry air.
They have warm, dry air.
They have cool, moist air.
They have warm, moist air.
Answer:
I think its B bc I took the test and got D wrong
Explanation:
:)
the characteristics of continental tropical air masses They have warm, dry air. Hence option B is correct.
What is tropical air ?Tropical Air is a Tanzanian airline operating in Zanzibar. It was the first locally owned airline in Zanzibar, starting operations in 1999 with a single aircraft. Captain Omar Haji established it. It works in Pemba, Dar es Salaam, and other areas in Tanzania. They are no longer in use.
Throughout the year, the maritime Tropical (mT) air mass is the most important moisture-bearing and rain-producing air mass. It goes poleward in the winter and is cooled by the ground surface. As a result, it is distinguished by fog or low stratus or stratocumulus clouds, rain, and limited visibility.
Meteorology (the study and forecasting of weather), climatology (the study of long-term atmospheric patterns and their impacts), and aeronomy are the three classic thematic areas of the atmospheric sciences.
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I believe the answer is D but wanted to make sure.
Answer:
Yes you are right
Explanation:
hope this helps and I get the Brain thingy whatever it call
73Ge
32
has
neutrons.
I will mark brainliest if right :)
Which features do sound waves have that ocean and light waves do not? Check all that apply.
compressions
rarefactions
amplitude
wavelength
crests
frequency
speed
(I know one is compressions but I can't figure out the others and i don't want to get it wrong, please help!!)
Answer:
Explanation:
compressions and rarefactions
Answer:
Compressions
-and-
Rarefactions
Explanation:
A star is moving directly towards earth at a large fraction of the speed of light. How does the light we observe from this star compare to the light received from the same star if it were at rest relative to earth?.
A star is moving directly toward earth at a large fraction of the speed of light. The light we observe from this star compared to the light received from the same star if it were at rest relative to earth will be blueshifted.
The amount of light emitted by a star coming towards earth would have a shorter wavelength as compared to other sources of light. This refers to the doppler shift principle. According to the doppler shift principle, if an observer is moving in relation to a source, then the change in frequency in the light waves would be relative to that observer.
In this case, we will observe that the star approaching earth will shift its spectral lines toward the blue end of the light series.
Since blue light has a shorter wavelength, therefore, the large fraction of the speed of light coming out from a star would correspond to the blue end of the light spectrum hence called blueshift.
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please help i give brainest but i need help asap
Answer:
Surface
Explanation:
Rayleigh Waves—surface waves that move in an elliptical motion, producing both a vertical and horizontal component of motion in the direction of wave propagation. Particle motion consists of elliptical motions (generally retrograde elliptical) in the vertical plane and parallel to the direction of propagation.
A physics teacher designs a rather unusual demonstration of simple harmonic motion which utilizes a combination of a 4. 0 kg mass and two identical springs mounted on a smooth horizontal table. Each spring has a force constant of 75 n/m and an unstretched length of 0. 25 m. The motion is started by releasing the mass from point a, where both springs have lengths of 0. 5 m. One cycle is carried out as the mass moves from a to b to c to b to a. From the information given, find the speed of the mass as it passes through the central point b. 139 mls.
The speed of the mass as it passes through the central point b is 139 m/s. To find this, we need to use the concept of conservation of mechanical energy.
As the mass moves from a to b, it loses potential energy and gains kinetic energy. At point b, all the potential energy is converted into kinetic energy, so we can equate the potential energy at point a with the kinetic energy at point b.
Using the formula for potential energy of a spring (PE = 0.5 * k * x^2), where k is the force constant and x is the displacement, we can find the potential energy at point a. The potential energy at point b is zero because the spring is unstretched. Equating these two energies and solving for the speed at point b gives us a speed of 139 m/s.
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which force is responsible for the moon revolving around the sun?
8. What is the yellow powder in plants that contains sperm cells called?
c. seed coat
a. pollen
d. conifer
b. embryo
Answer:
Its called pollen. Pollen is a powdery substance consisting of pollen grains which are male microgametophytes of seed plants, which produce male gametes (sperm cells).
Hope this helps, have a great day/night and stay safe!
When converting from kilometers to meters, the decimal is moved
a. three places to the left
b. two places to the left
three places to the right
d. two places to the right.
C.
B
Please select the best answer from the choices provided
Ο Α
B
D
Answer:
a
Explanation:
Answer:
You're best answer to your question would be C!!!
the fact that quasars can be detected from distances from which even the biggest and most luminous galaxies cannot be seen means that
The detection of quasars from such great distances is due to their extreme luminosity and the fact that they emit massive amounts of energy.
Quasars are the most energetic objects in the universe, and their bright emissions make them visible even at very large distances. On the other hand, even the biggest and most luminous galaxies cannot be seen from such distances because their emissions are not as powerful as those of quasars.
Quasars are actually supermassive black holes at the center of galaxies that are actively feeding on surrounding matter. As they consume matter, they emit large amounts of energy in the form of light, X-rays, and other types of radiation. This energy is what makes them visible from great distances, even beyond the limits of what other galaxies can achieve.
The fact that quasars can be detected from distances beyond the reach of other galaxies is a testament to their extreme power and luminosity. It also helps astronomers to study the universe at a deeper level and gain insight into the evolution of galaxies and supermassive black holes.
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A car travels 30 miles north on a straight road. The car then travels west for 40 miles on a straight road. The car then turns South and travels another 30 miles. The entire trip takes 2.22 hours. What is the velocity for this trip ?
The average velocity of the car for the entire trip is 0.018 km/h.
What is velocity of the trip?
The velocity of the trip is determined from the ratio of change of displacement to total time of motion.
The total displacement of the motion = ( 30 m North - 30 m South) + 40 m est = 40 m west = 0.04 km west
The total time of motion = 2.22 hours
The average velocity of the car for the entire trip is calculated as follows;
v = ( 0.04 km ) / ( 2.22 hrs )
v = 0.018 km/h
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If a train traveled 400 miles north and traveled back 275 miles south and the total trip took 5 hours to complete, what was the average velocity of the train in mph?
The average velocity is 25 mph north.
Average velocity = displacement/time
Displacement =
(400 mi north) + (275 mi south)
Displacement = 125 mi north
Average V = (125 mi north) / 5 hours.
Average V = 25 mph north
Boat Engine An engine moves a boat through the water at a constant speed of 15 m/s. The engine must exert a force of 6.0 kN to balance the force that the water exerts against the hull. What power does the engine develop
An engine moves a boat through the water at a constant speed of 15 m/s. The engine must exert a force of 6.0 kN to balance the force that the water exerts against the hull. Power is the measure of how fast work can be done. The unit of power is watts (W), which can be defined as the amount of work done in one second.
Power is usually calculated as the product of the amount of work done and the time it takes to do it. Power can also be defined as the rate at which work is done.First, we need to calculate the work done by the engine. Work = Force x distance . Since the boat moves at a constant speed of 15 m/s, we can use the following formula to calculate the distance traveled by the boat:Distance = Speed x TimeTherefore, distance = 15 m/s x 1 s = 15 m Now we can calculate the work done by the engine:Work = Force x Distance = 6.0 kN x 15 m = 90 kJNow that we know the amount of work done by the engine, we can use the formula for power:Power = Work/Time Since we don't know the time it took the engine to do the work, we can't calculate power directly. However, we can make some assumptions and estimate the time it took the engine to do the work. For example, if we assume that the engine did the work in one minute, then the time is 60 seconds:Power = Work/Time = 90 kJ/60 s = 1.5 kWTherefore, the power developed by the boat engine is 1.5 kW.For such more question on measure
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If the slits that create this pattern are 25 μm apart and are located 0.95 m from the screen, what are the m = 1 distances from the central maximum for red (700 nm) and violet (400 nm) light?
The distance from the central maximum for violet light is 0.0152 meters.
To find the distances from the central maximum for red and violet light, we can use the formula for the position of the m-th order fringe in a double-slit interference pattern:
y = mλL / d
where y is the distance from the central maximum, λ is the wavelength of light, L is the distance from the slits to the screen, d is the distance between the slits.
For red light with a wavelength of 700 nm (700 x 10^-9 m), substituting the values into the formula:
y_red = (1)(700 x 10^-9 m)(0.95 m) / (25 x 10^-6 m)
≈ 0.0266 m
Therefore, the distance from the central maximum for red light is approximately 0.0266 meters.
For violet light with a wavelength of 400 nm (400 x 10^-9 m), using the same formula:
y_violet = (1)(400 x 10^-9 m)(0.95 m) / (25 x 10^-6 m)
≈ 0.0152 m
Hence, the distance from the central maximum for violet light is approximately 0.0152 meters.
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please help physics statics.. don't understand how to solve
When Weight of 7294.3 N can be supported by boom if force 7800 is applied on the cable and there is no resultant rotation at point C.
What is Torque ?Torque is defined as force times perpendicular distance from axis of rotation to the point at which force is applied. Torque is denoted by τ and its SI unit is Nm. i.e Torque is given by, τ = F×d sinθ. Torque is vector quantity.
Torque is analogous to force in rotational motion. like there angular velocity ω is analogous linear velocity v. means Torque is a force in rotational motion.
Looking at the answered figure I have resolved forces, there will be no resultant rotation when opposite torques due to opposite horizontal forces gets balanced.
We get,
τ₁ = τ₂
F×d Cos40⁰ = W×d Sin55°
F Cos40° = W Sin55°
W = F×(Cos40°÷Sin55°)
W = F×0.93516
W = 7800 ×0.93516
W = 7294.3 N
Hence Weight that can be supported is 7294.3 N.
b) When we assume that there is no cable, Then
Torque τ = W×d Sin35°
τ = 7294.3×10 Sin35°
τ = 41838.3 Nm
bloom will rotate with 41838.3 Nm torque.
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Two small plastic balls hang from threads of negligible mass. Each ball has a mass of 0.14 g and a charge of magnitude q. The balls are attracted to each other. When in equilibrium, the balls are separated by a distance of 2.05 cm and the threads attached to the balls make an angle of 20 degrees with the vertical.(a) Find the magnitude of the electric force acting on each ball.(b) Find the tension in each of the threads.(c) Find the magnitude of the charge on the balls.
Answer:
a. 4.99 × 10⁻⁴ N b. 1.46 × 10⁻³ N c. 4.83 nC
Explanation:
(a) Find the magnitude of the electric force acting on each ball.
The tension in the string, T is resolved into horizontal and vertical components Tsin20° and Tcos20° respectively, since the string makes an angle of 20° with the vertical.
Let F = electric force and W = mg be the weight of the ball where m = mass of ball = 0.14 g = 0.14 × 10⁻³ kg and g = acceleration due to gravity = 9.8 m/s²
The electric force acts in the opposite direction to the horizontal component of the tension in each string. Since the masses are in equilibrium,
Tsin20° = F (1)
Also, the weight of the ball acts downwards, opposite to the direction of the vertical component of the tension in the string. Since the masses are in equilibrium,
Tcos20° = W = mg
Tcos20° = mg (2)
Dividing (1) by (2), we have
Tsin20°/Tcos20° = F/mg
tan20° = F/mg
F = mgtan20°
So, F = 0.14 × 10⁻³ kg × 9.8 m/s²× tan20°
F = 0.4994 × 10⁻³ N
F = 4.994 × 10⁻⁴ N
F ≅ 4.99 × 10⁻⁴ N
(b) Find the tension in each of the threads.
Since Tsin20° = F
T = F/sin20°
= 4.99 × 10⁻⁴ N/sin20°
= 4.99 × 10⁻⁴ N/0.3420
= 14.59 × 10⁻⁴ N
= 1.459 × 10⁻³ N
≅ 1.46 × 10⁻³ N
(c) Find the magnitude of the charge on the balls.
From Coulomb's law, the electric force between the masses of charge q and separated by a distance r = 2.05 cm = 2.05 × 10⁻² m
F = kq²/r² where k = 9.0 × 10⁹ Nm²/C²
q² = Fr²/k
q = √(Fr²/k)
q = [√(F/k)]r
Thus,
q = [√(F/k)]r
q = [√( 4.99 × 10⁻⁴ N/9.0 × 10⁹ Nm²/C²)]2.05 × 10⁻² m
q = [√(0.5544 × 10⁻¹³ C²/m²)]2.05 × 10⁻² m
q = [√(5.544 × 10⁻¹⁴ C²/m²)]2.05 × 10⁻² m
q = [2.355 × 10⁻⁷ C/m]2.05 × 10⁻² m
q = 4.83 × 10⁻⁹ C
q = 4.83 nC
what would happen if measurements such as mass,length,volume,or temperature weren't standardized and everyone made up their own units
Answer:
The world would have been blown up by now.
Explanation:
Hypothetically, lets say that someone gave Kim Jong boi a cup of coffee.
He gets mad at the "public servant" since it didn't contain 3 posafa43asdunds of sugar which makes him "big".
The public servant claims they added jfoaj4su38093 units of sugar, which is equivalent to 3 posafa43asdunds.
He gets mad and launches big cannons at Trump since he blames Boe Jiden.
compare the physical properties of air and gold .
Answer:
Gold is metallic, with a yellow color when in a mass, but when finely divided it may be black, ruby, or purple. It is the most malleable and ductile metal; 1 ounce (28 g) of gold can be beaten out to 300 square feet. It is a soft metal and is usually alloyed to give it more strength.
Formula --
Molecular Weight (lb/m o l) 28.96
Critical Temp. (°F) N/A
Critical Pressure (p s i a) N/A
Boiling Point (°F) -317.8
Melting Point (°F) N/A
Psat 70°F (p s i a) (note 1)
Explanation:
HURRY PLEASE
Two different bumper designs are shown here.
Recall that if the colliding objects have hard surfaces, the collision is elastic. Based on this description, which bumper design is more likely to result in an elastic collision? Predict how this bumper design will change the force that car 2 experiences during the collision.
The design that has the metal bar would increase the chances of an elastic collision and lead to an increase of the velocity of the car after collision.
What is elastic collision?We know that an elastic collision is one in which there is a conservation of the kinetic energy of the momentum. Recall that the colliding particles would have to constitute a closed system such that there is no loss in the momentum of the objects that are colliding.
We have two designs of the bumpers of the cars. We know that the balloon design would have more tendency to have this car stick to the other car and create an inelastic Collison.
However, with the metal bar design, there is less tendency that the cars would stick together after collision and we would have an elastic collision. The effect of this is that velocity of the car 2 may increase after the collision.
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A car was running in the velocity of 72km/h. What will be its velocity after 5s if it's acceleration is -2m/s^2 ?
Answer:
10m/s
Explanation:
a = v- u/ t
=> v = at + u
= -2 × 5 + 20
= 10m/ s. ( 72 km/ h = 20 m/ s)
2. What is the potential energy of a 3 kg ball that is on the ground?
The potential energy of a 3 kg ball that is on the ground is zero.
What is the potential energy of a ball on the ground?Zero ,It will have no kinetic energy since it is not moving, and because it is laying on the ground, it will also have no potential energy. This is equivalent to the ground's zero potential energy.energy potential = massHeight, 9.8 m/s of gravity3 kilogrammes is the size of you. I think you need to increase this by 9.8 and then convert this to grammes (3000g). Since the ball is on the ground and you are at zero height, your potential energy is also zero.A 3 kilogramme body on a planet's surface has 54 joules of potential energy.To learn more about potential energy refer to:
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B. if the mass of the sample is actually 12.1 g, which balance is more accurate?
It would be necessary to conduct a calibration or compare the balances against a known reference mass to determine which one is more accurate when measuring a 12.1 g sample.
To determine which balance is more accurate when the mass of the sample is actually 12.1 g, we need to compare the balances' precision and accuracy.
Precision refers to the degree of reproducibility or consistency of measurements, while accuracy refers to the closeness of a measured value to the true or accepted value.
If the two balances have different precisions, we would compare their standard deviations or uncertainties. A balance with a smaller standard deviation or uncertainty would be considered more precise.
Percentage error = (|Measured value - True value| / True value) * 100
For Balance A:
Percentage error = (|12.0 g - 12.1 g| / 12.1 g) * 100 = (0.1 g / 12.1 g) * 100 ≈ 0.826%
For Balance B:
Percentage error = (|12.2 g - 12.1 g| / 12.1 g) * 100 = (0.1 g / 12.1 g) * 100 ≈ 0.826%
If both balances have the same precision, we would compare their systematic errors or biases. A balance with a smaller systematic error or bias would be considered more accurate.
Without specific information about the precision and accuracy of the balances, it is difficult to determine which one is more accurate. It is possible that one balance is more precise, while the other is more accurate, or they may have similar levels of precision and accuracy.
In practice, the accuracy and precision of a balance can be determined through calibration and comparison with known reference masses. The calibration process helps establish the accuracy of a balance by verifying its readings against a traceable standard.
Therefore, it would be necessary to conduct a calibration or compare the balances against a known reference mass to determine which one is more accurate when measuring a 12.1 g sample.
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Complete question is here
Adrian and Mark weighed the same sample on two different balances. The results were as follows:
Balance A
Balance B
12.11g
12.1324 g
12.09 g
12.1322 g
12.10 g
12.1323 g
a.
Which balance is more precise?
b.
If the mass of the sample is actually 12.1 g, which balance is more accurate?