A ping pong ball rolls off a 5.Om high table and lands on the floor, 3.0m
away from the table. How long is the ball in the air?
Answer:
The ball was 1.01 seconds in the air
Explanation:
Horizontal Motion
When an object is thrown horizontally with a speed v from a height h, the range or maximum horizontal distance traveled by the object can be calculated as follows:
[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]
If we know the value of d and h, we can solve the equation for v:
[tex]\displaystyle v=d\cdot\sqrt{\frac {g}{2h}}[/tex]
Since the horizontal speed is constant, we can calculate the time the ball was in the air by using the equation:
[tex]\displaystyle t=\frac{d}{v}[/tex]
The ping pong ball rolls from a height of h=5 m and lands on the floor a distance of d= 3 m away from the table. Calculate the speed:
[tex]\displaystyle v=3\cdot\sqrt{\frac {9.8}{2\cdot 5}}[/tex]
[tex]\displaystyle v=3\cdot\sqrt{\frac {9.8}{10}}[/tex]
Calculating:
[tex]v=2.97\ m/s[/tex]
Now calculate the time:
[tex]\displaystyle t=\frac{3}{2.97}[/tex]
[tex]t=1.01\ sec[/tex]
The ball was 1.01 seconds in the air
Note: The time does not depend on the distance d at all. If we borrow the equation from free-fall motion, the time can be calculated with:
[tex]\displaystyle t=\sqrt{\frac {2h}{g}}=\sqrt{\frac {10}{9.8}}=1.01\ sec[/tex]
A spacejet travels 800 miles/h .how long does it take to travel 1km
Consider a spring that does not obey Hooke's law very faithfully. One end of the spring is fixed. To keep the spring stretched or compressed an amount x, a force along the x-axis with x-component Fx=kx−bx2+cx3 must be applied to the free end. Here k=100N/m, b=700N/m2, and c=12000N/m3. Note that x>0 when the spring is stretched and x<0 when it is compressed.
Answer:
The work done will be 0.115 J.
Explanation:
Given that,
[tex]k=100\ N/m[/tex]
[tex]b=700\ N/m^2[/tex]
[tex]c=12000\ N/m^3[/tex]
A force along the x-axis with x-component,
[tex]F(x)=kx-bx^2+cx^3[/tex]
Suppose, How much work must be done to stretch this spring by 0.050 m from its unstretched length?
We need to calculate the work done
Using formula of work done
[tex]W(x)=\int{F(x)dx}[/tex]
Put the value into the formula
[tex]W(x)=\int{(kx-bx^2+cx^3)dx}[/tex]
[tex]W(x)=\dfrac{kx^2}{2}-\dfrac{bx^3}{3}+\dfrac{cx^4}{4}[/tex]
Put the value of k,b,c and x
[tex]W(0.050)=\dfrac{100\times(0.050)^2}{2}-\dfrac{700\times(0.050)^3}{3}+\dfrac{12000\times(0.050)^4}{4}[/tex]
[tex]W(0.050)=0.115\ J[/tex]
Hence, The work done will be 0.115 J.
The value of spring displacement is greater than zero. Therefore, spring is stretched.
Force in spring :
It is given as, [tex]F=kx[/tex]
Where k is constant and x is amount of displacement.
The force function is given that,
[tex]F(x)=kx-bx^{2}+cx^{3}[/tex]
Here given that, [tex]k=100N/m, b=700N/m^{2} , c=12000N/m^{3} .[/tex]
Substitute all values in above equation,
[tex]F(x)=100x-700x^{2} +12000x^{3}[/tex]
To check, the spring is stretched or it is compressed.
Substitute f(x) = 0
We get x is greater than zero.
Thus, The value of spring displacement is greater than zero. Therefore, spring is stretched.
Learn more about the spring force here:
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The question is 6 please help
Answer:
none of the answers are correct
Explanation:
Lithium = 3
Berillium = 4
Boron = 5
Carbon = 6
127) A swimmer heading directly across a river that is 200 m wide reaches the opposite bank in
6 min 40 s. During this swim, she is swept downstream 480 m. What is the speed of the
current?
A) 0.50 m/s
B) 0.80 m/s
C) 1.2 m/s
D) 1.4 m/s
E) 1.8 m/s
Answer:
C
Explanation:
When energy is transferred from one part of a system to another, some of the
energy is lost during the transfer and cannot be used as it was intended.
Which two sentences describe examples of this?
A. An electric motor hums as it powers a conveyor belt
B. Stereo speakers emit sound when powered by electrical energy.
O C. Sunlight strikes a solar panel, generating electricity.
O D. A car engine heats up while the car is being driven.
E. Wind moves a turbine, generating electricity.
Answer:
A. An electric motor hums as it powers a conveyor belt
D. A car engine heats up while the car is being driven.
Explanation:
Energy inefficiency usually involves loss of energy as other forms when they are being converted from one form to another.
The two choices that fit the description includes;
An electric motor humming as it powers a conveyor belt. This energy conversion is supposed to be from electrical to mechanical energy but there is a loss due to the sound energy produced by the motor. Heat energy produced as the car is driven also results in energy inefficiency.Other choices do not show this inefficiency.
Answer:
A. An electric motor hums as it powers a conveyor belt
D. A car engine heats up while the car is being driven.
Explanation:
Please this question
Answer:
1. 7
2. Mass
3. (b) Distance
4. (b) Force
5. (a) ML⁻¹T⁻²
6. (c) M⁻¹LT²
7. (c) M⁻¹L³T⁻²
8. (c) Pressure
9. (c) Young's modulus
10. (b) zero
11. (c) Infinite
12. (d) 1:4
13. (b) 0.6 J
14. (c) 45 N
15. (a) 0.4 cc
16. (a) 176.7 °F
17. (a) 10°C
18. (c) 50 K
19. b. H
Explanation:
15. Whereby the compressibility = 4 × 10⁻⁵ Pa⁻¹
The compression ratio for 100 Pa = 4 × 10⁻⁵ × 100 = 4 × 10⁻³
The Change for 100 cc = 4 × 10⁻³ × 100 cc = 0.4cc
when a light bulb is turned on electrical energy is transformed into two other types of energy. What are they and support your answer
Answer:
In the case of an electric bulb, the electrical energy is converted to light and heat. The amount of electrical energy put into a bulb = the amount of light energy (desirable form) plus the heat energy that comes out of the bulb (undesirable form).
Explanation:
sana nakatulong)):
Melanie and Lance gathered data about the effectiveness of masks
preventing disease. One of the questions they ask the experimental
subjects is their age. What type of observation is this? *
What is the magnitude of force required to accelerate a car of mass
1.7 × 103 kilograms by 4.75 meters/second2?
Answer:
The answer is 8075 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × accelerationFrom the question
mass = 1.7 × 10³ kg = 1700 kg
acceleration = 4.75 m/s²
We have
force = 1700 × 4.75
We have the final answer as
8075 NHope this helps you
What is a non-example of Newton's 3rd law of motion?
Answer:
Unbalanced forces are not examples of Newton's third law because not all opposite reactions are unbalanced forces.
Explanation:
You are riding a bicycle. If you apply a forward force of 172 N, and you and the bicycle have a combined mass of 51 kg, what will be the forward acceleration of the bicycle? (Assume there is no friction)
Answer:
The answer is 3.37 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
[tex]acceleration = \frac{force}{mass} \\[/tex]
From the question
force = 172 N
mass = 51 kg
We have
[tex]acceleration = \frac{172}{51} \\ = 3.372549019...[/tex]
We have the final answer as
3.37 m/s²Hope this helps you
HEY CAN ANYONE PLS ANSWER DIS!!!!!!
Answer:
Explanation:
1.wrap bar magnet in a plastic baggie and remove the iron filings from the mixture by using a bar magnet. Place a small piece of scrap paper on the scale and “tare” the scale. Then place filings on the scrap paper and record (e) the mass of the iron filings. Don't throw out the iron–save it to be recollected.
2.When sand is added to water it either hangs in the water or forms a layer at the bottom of the container. Sand therefore does not dissolve in water and is insoluble. It is easy to separate sand and water by filtering the mixture. Salt can be separated from a solution through evaporation.
3.Sand (mostly silicon dioxide) is not.
Pour the salt and sand mixture into a pan.
Add water. ...
Heat the water until the salt dissolves. ...
Remove the pan from heat and allow it to cool until it's safe to handle.
Pour the salt water into a separate container.
Now collect the sand.
Pour the salt water back into the empty pan.
Heat the salt water until the water boils. Continue boiling it until the water is gone and you're left with the salt.
Another way you can separate the salt water and sand is to stir up the sand/salt water and pour it through a coffee filter to capture the sand.
Answer:
1. Separating iron from mixture
Provided a magnetmoved the magnet close to the mixtureseparated the magneted iron from the magnet.2. Separating sand from mixture
poured the mixture in a separation funnelfiltered off the sand from the mixture.3. Separating Salt mixture
boild the mixturecontinued heating to drynessthe remimants left behind is the saltwhat is the unit of magnetic field
Answer:
Hope this helps!~ (Sorry if you get it wrong or I got it wrong-)
Explanation:
The standard SI unit for magnetic field is the Tesla, which can be seen from the magnetic part of the Lorentz force law Fmagnetic = qvB to be composed of (Newton x second)/(Coulomb x meter). A smaller magnetic field unit is the Gauss (1 Tesla = 10,000 Gauss).
~The Confuzzeled homan
On an icy day, you worry about parking your car in your driveway, which has an incline of 12º. Your neighbor's driveway has an incline of 9.0º, and the driveway across the street is at 6.0º. The coefficient of static friction between tire rubber and ice is 0.15. Which driveway(s) will be safe to park in?
Answer:
Driveway across the street ([tex]\theta = 6^{\circ}[/tex]) is the only choice for a safe parking.
Explanation:
Let suppose that car is represented by a particle, then we proceed to construct its free body diagram and corresponding equations of equilibrium:
[tex]\Sigma F_{x'} = f - W\cdot \sin \theta = 0[/tex] (Eq. 1)
[tex]\Sigma F_{y'} = N-W\cdot \cos \theta = 0[/tex] (Eq. 2)
Where:
[tex]f[/tex] - Static friction force, measured in newtons.
[tex]N[/tex] - Normal force on the car from the ground, measured in newtons.
[tex]W[/tex] - Weight of the car, measured in newtons.
[tex]\theta[/tex] - Driveway inclination, measured in sexagesimal degrees.
By applying definitions of maximum static friction force and weight, we expand the system of equations presented above:
[tex]\mu_{s}\cdot N -m\cdot g\cdot \sin \theta = 0[/tex] (Eq. 1b)
[tex]N - m\cdot g \cdot \cos \theta = 0[/tex] (Eq. 2b)
Where:
[tex]\mu_{s}[/tex] - Static coefficient of friction, dimensionless.
[tex]m[/tex] - Mass of the car, measured in kilograms.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
Then, we substitute normal force and simplify the resulting expression:
[tex]\mu_{s}\cdot m\cdot g \cdot \cos \theta -m\cdot g \cdot \sin \theta = 0[/tex]
[tex]\mu_{s} = \tan \theta[/tex]
[tex]\theta = \tan^{-1}\mu_{s}[/tex] (Eq. 3)
Based on such result, we can conclude that if driveway inclination is greater than value reported, then car shall not be safe in case of parking. Our reference angle is: ([tex]\mu_{s} = 0.15[/tex])
[tex]\theta = \tan^{-1} 0.15[/tex]
[tex]\theta \approx 8.531^{\circ}[/tex]
By direct comparison, we find that driveway across the street ([tex]\theta = 6^{\circ}[/tex]) is the only choice for a safe parking.
what element has 3 protons and 4 electrons?
Answer:
Li⁻
Explanation:
# of protons = # element on the Periodic Table.
# of protons (+) + # of electrons (-) = overall charge
3 protons is the 3rd element on the Periodic Table: Lithium
All elements on the Periodic Table have a neutral charge. Lithium neutral has 3 protons and 3 electrons.
We are given 4 electrons; 3 + -4 = -1 charge overall.
Therefore, our ion is Li⁻
Which types of data should be modified to change the rate of rotation?
(1 point)
o the number of loops in the coil and the distance from the source of the current
o the number of loops in the coil and the electric current
the dimensions of coils and the distance from the source of the current
o the dimensions of the coils and the electric current
Answer:
the number of loops in the coil and the electric current.
Explanation:
Just took the test and got it correct.
While Juliet was watching Romeo ran at a speed of 3.3 m/s straight off the end of a diving board
that is 3 m above the water. How long was he airborne before he hit the water?
Which answer choice
describes all nonmetals?
A. Hydrogen and all of the elements in blue boxes
B. All of the elements of Period 2 in green boxes
O C. All of the elements of Group 18 in orange boxes
D. Hydrogen and all of the other elements in orange boxes
Hydrogen and all of the other elements in orange boxes are non metals and is denoted as option D.
What is a Non metal?These are elements which lack metallic properties and usually have low thermal and electrical conductivity.
In the periodic table, they are represented by orange together with hydrogen hence the reason why it is the most appropriate choice.
Read more about Non metal here https://brainly.com/question/23938148
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how long does it take a dollar bill that is 6 inches long to drop through its length (hint: Convert the length to meters and use a formula to find the time taken for the dollar to free fall through this length)
Answer:
3.4seconds
Explanation:
if a dollar was times for how long it would fall down to its length it would be 3.4 seconds
Help me!
What is the net force acting on a 7.85 kg object moving at a constant speed of 15.55 m/s
1) Calculate the speed of a runner who runs 100 m in 20s
This is how you calculate his speed, for the 100metres. That is, the average speed for the entire distance, including the start from intertia until the race end where the athlete is decelerating. Multiply the time by 10, and divide 3600 by that figure. i.e. 10 by10 equals 100. Divide 3600 by 100 and you get 36 which is the speed figure you requested.
A female athlete ran 200 metres a few years ago and in the middle section of the race covered 100 metres in that race in a time under 10 seconds. That is, she ran a sub 10second 100metres from a flying start. This great athlete from Slovenia, also ran a 100 metre race (from a stationary start) in a time under 11 seconds, when she was 48 years of age. Her name is Merlene Ottey.
Ancient gold coins have been found in Greece and Italy. What property allows for gold to be stamped into coins?
Answer: malleability
Explanation:
What do you put in the bowl first? milk or cereal?
Answer:
i put cereal first
Explanation:
cereal
Igneous rock can be changed into which type of rock through the application of heat and pressure?
metamorphic rock
clastic sedimentary rock
non-foliated igneous rock
foliated igneous rock
Answer:
metamorphic rock
Explanation:
Igneous rocks can be changed into metamorphic rocks when heat and pressure are applied to the rock.
Pressure and heat in the presence of a fluid phase cause metamorphic transformation of a prolith.
At the right temperature and pressure, an igneous rock will not form magma but will undergo mineralogical changes to form metamorphic rocks. These changed rocks have different mineral facies that are different from those of the prolith.Through heat and pressure, igneous rocks can be transformed into metamorphic rocks.
Answer:
classic sedimentary rock
Explanation:
Rashid lifts a flower pot 0.8m off the floor using a constant force of 20 N. How much work is done on the flower pot?
Answer:16 J
Explanation:
Work done = force × displacement
In this case the body has been displaced to a height
How much work is done to move a 1,000 N car 20 meters?
Answer:
The answer is 20,000 JExplanation:
The work done by an object can be found by using the formula
workdone = force × distanceFrom the question
force = 1,000 N
distance = 20 m
We have
workdone = 1000 × 20
We have the final answer as
20,000 JHope this helps you
1. Who were the first three countries to build rocket engines?
O Russia, Germany, China
O Germany, China, Canada
O Russia, USA, Germany
O USA. China, Russia
Answer:
i think its Russia, USA, Germany.
The two factors that determine velocity are
A: speed and direction
B: direction and speed
C: position and rate
D:distance and mass
PLEASE HELP ME
Answer:
A: speed and direction
An 85 kg construction worker has 37,485J of gravitational potential energy. To the nearest whole number,
worker is _________
mabove the ground
Answer:
45m above the ground
Explanation:
got it right on Edg 2020