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A particle is moving with simple harmonic motion of period 8•0 s and amplitude 5•0 m Fine (A). The speed of the particle when it's 3•0 m from the centre of it's motion (B). The maximum speed (C). The maximum acceleration
Answer:
a. v(1.8) = -3.14 m/s
b. [tex]v_{max} = 3.925\ m/s[/tex]
c. [tex]a_{max} = 3.08\ m/s^2[/tex]
Explanation:
a.
The speed of a particle executing simple harmonic motion is given by the following equation:
[tex]v(t) = -A \omega \ Sin(\omega t)[/tex]
where,
v = velocity = ?
A = Amplitude = 5 m
ω = angular frequency = [tex]\frac{2\pi}{Time Period} = \frac{2\pi}{8\ s}[/tex] = 0.785 s
t = time
First we find time at 3 m by using equation for displacement:
[tex]x = 3\ m = ACos(\omega t)\\Cos((0.785 rad/s)(t)) = \frac{3\ m}{5\ m}\\t(0.785\ rad/s) = Cos^{-1} (0.6)\\t = \frac{0.927\ rad}{0.785\ rad/s}\\t = 1.18 s[/tex]
Therefore,
[tex]v(1.8) = velocity at 3\ m = -A\omega Sin(\omega t)\\v(1.8) = -(5\ m)(0.785\ rad/s)Sin((0.785\ rad/s)(1.18\ s))\\[/tex]
v(1.8) = -3.14 m/s
c.
The maximum speed is given as:
[tex]v_{max} = A\omega\\v_{max} = (5\ m)(0.785\ rad/s)\\[/tex]
[tex]v_{max} = 3.925\ m/s[/tex]
The maximum acceleration is given as:
[tex]a_{max} = A\omega^2\\v_{max} = (5\ m)(0.785\ rad/s)^2\\[/tex]
[tex]a_{max} = 3.08\ m/s^2[/tex]
A liquid has a density of 0.85 g/cm. If you pour some of the liquid into a glass of water, will the liquid float?
Explain how you know
PLEASE HURRY
Answer:
Yes, it will float.
Explanation:
It is given that,
A liquid has a density of 0.85 g/cm³.
We know that, the density of water is 1 g/cm³.
The density of the liquid is less than that of water. If the density of the liquid is less than that of water, it will float in it. Hence, if you pour some of the liquid into a glass of water, it will float.
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plz do it right
Answer:
d
Explanation:
Answer:
Earth absorbs heat from the sun.
Explanation:
This radiation is absorbed by greenhouse gases which then radiate energy into all directions including downwards and thereby trapping heat in the atmosphere.
Hope you have a good day :)
harold threw a baseball 3 meters harold is 2 meters tall. how fast did he throw the ball and how long was it in the air
Answer:
u = 7.74 m/s and t = 1.82 s
Explanation:
Given that,
Harold threw a baseball 3 meters.
Harold is 2 meters tall.
The vertical distance = 3m
The final velocity at the maximum height is 0.
Let u is the initial velocity of the baseball. Using the first equation of motion to find it as follows :
[tex]v^2-u^2=2as[/tex]
Here, a = -g
[tex]v^2-u^2=-2gs\\\\u=\sqrt{2gs} \\\\=\sqrt{2\times 10\times 3} \\\\=7.74\ m/s[/tex]
He has thrown it with the speed of 7.74 m/s
Let t is the time taken by the ball to fall on the ground.
Harold is 2 meters tall. Using second equation of motion to find it.
u = -7.74 (as downward direction is taken as positive)
[tex]s=ut+\dfrac{1}{2}at^2\\\\2=-7.74t+5t^2\\\\t=1.82\ s[/tex]
Hence, this is the required solution.
plzzzz help it for civics
Answer:
A : the colonists dumped tea in Boston Harbor
Allison pulls on a refrigerator with 200 N of force. Fred helps
her out and pulls on the refrigerator in the same direction with
300 N of force. What is the net force on the refrigerator?
N
Answer:500
Explanation:
If two forces are acting on an object in the same direction, then they will add up and the net force will be the sum of their magnitudes. Thus, the net force on refrigerator is 500 N.
What is force?Force is an external agent acting on a body to deform it or to change it form the state of rest or motion. There are various kinds of forces, such as gravitational force, frictional force, magnetic force etc.
If two forces are acting on a on an object in the same direction, then they will add up and the net force will be the sum of their magnitudes. If they are acting from the opposite directions, they will cancel each other in magnitude and and the net force will be the subtracted value.
Here, both Allison and fred pulls the refrigerator from the same direction and the net force is the sum of forces by each person. Therefore, the net force here is 300 + 200 = 500 N.
To find more on net force, refer here:
https://brainly.com/question/18031889
#SPJ2
How are electromagnets similar to other magnets?
Answer:
Well, Both Are For Sure Magnets! But electromagnets need to use electricity!
Explanation:
A Wendys Roast For You!
Guys i need help please
Answer:
I'm pretty sure the answer is around 9.2 seconds
Explanation:
2. If Peter is traveling .25 m/s on his bike, how long will it take him to reach
a fence that is 12 meters away?
a. 3 s
b. 20 s
c. 12 s
d. 48 s
Answer:
48 seconds
Explanation:
Since S=d/t, plug in the known values and solve
0.25m/s=12m/t
0.25m/s*t=12m
t=12m/0.25m/s
t=48 seconds
which two things does force depend on?
Answer:
Mass and Gravity
Explanation:
Objects with mass exert forces on each other via the force of gravity. This force is proportional to the mass of the two interacting objects and is inversely proportional to the square of the distance between them.
a roller coaster begins at the top of a hill if it acelerates at the rate of 2 m/s2 and has a mass of 2000 kg what net force is acting on it plzzz someone help im over here crying bc i dont know
Answer:
[tex]\boxed {\boxed {\sf 4000 \ Newtons }}[/tex]
Explanation:
Force can be found by multiplying the mass by the acceleration.
[tex]F=m*a[/tex]
The mass of the roller coaster is 2000 kilograms and the acceleration is 2 meters per second squared.
[tex]m= 2000 \ kg \\a= 2 \ m/s^2[/tex]
Substitute the values into the formula.
[tex]F= 2000 \ kg * 2 \ m/s^2[/tex]
Multiply.
[tex]F= 4000 \ kg*m/s^2[/tex]
1 kg*m/s² is equal to 1 NTherefore our answer of 4000 kg*m/s² is equal to 4000 Newtons[tex]F= 4000 \ N[/tex]
The net force acting on the roller coaster is 4000 Newtons.
Which scenario describes a transformation of thermal energy into chemical energy?
A You turn on the heater in your car.
B
The UV light from the Sun causes a sunburn.
С
The Sun's energy causes you to sweat.
D
The oven bakes dough into bread.
Answer:
The Answer is A
Explanation:
Which scenario describes a transformation of thermal energy into chemical energy? You turn on the heater in your car. The UV light from the Sun causes a sunburn. The Sun's energy causes you to sweat.
A student wants to use a ramp to move boxes into a truck bed that is 3 m high. He has a choice of 2 different ramps. The length of one ramp is 4m, and the length of the other ramp is 6m. Which one will make his work easier?
Answer:
the ramp with 6 m length will be easier to work with.
Explanation:
the mechanical advantage of the ramp can be calculated to find out which ramp will be easier to work with. The ramp with greater mechanical advantage will be easier to work with. The formula for the mechanical advantage of ramp is given as follows:
[tex]M.A = \frac{L}{h} \\\\[/tex]
where,
M.A = Mechanical Advantage = ?
L = Length of Ramp
h = height of ramp = 3 m
FOR L =4 m:
[tex]M.A = \frac{4\ m}{3\ m}\\\\M.A = 1.33[/tex]
FOR L = 6 m:
[tex]M.A = \frac{6\ m}{3\ m}\\\\M.A = 2[/tex]
Since, the ramp with length 6 m has a greater mechanical advantage.
Therefore, the ramp with 6 m length will be easier to work with.
The second choice ramp with length of 6 m will make his work easier.
The given parameters;
height of the ramp, h = 3 mlength of the first ramp = 4 mlength of the second ramp = 6 mThe mechanical advantage of the each of the choices is calculated as follows;
First choice:
[tex]M.A = \frac{l_1}{h} \\\\M.A = \frac{4}{3} \\\\M.A = 1.333[/tex]
Second choice:
[tex]M.A = \frac{l_2}{h} \\\\M.A = \frac{6}{3} \\\\M.A = 2[/tex]
Thus, we can conclude that the second choice ramp with length of 6 m will make his work easier.
Learn more about mechanical advantage here:https://brainly.com/question/20487910
What do you think menas to be Physically fit.
Answer:
consistently working out and eating healthy i guess
Explanation:
Answer:
To have a strong body (not only visible muscles). Physically fit is to eat well also. Eat healthy more! Your body might not be packin, but it sure is strong!
Explanation:
Hope this Helps!
Have a great day!
:)
Cardiovascular fitness measures the health of which body system?
Answer:
I believe it is the circulatory system.
Explanation:
Have a nice day.
if you punch a wall with the force of 30N, what force will you feel on your fist
30N
Natural reaction, the same force comes back to you
Answer:
it depends on if collision elastic or in elastic
if collision is elastic the the wall will also exert 30 N
Where is the planet moving faster?
A fireboat is to fight fires at coastal areas by drawing seawater with a density of 1030 kg/m3 through a 10-cm-diameter pipe at a rate of 0.04 m3/s and discharging it through a hose nozzle with an exit diameter of 5 cm. The total irreversible head loss of the system is 3 m, and the position of the nozzle is 3 m above sea level. For a pump efficiency of 70 percent, determine the required shaft power input to the pump and the water discharge velocity.
Answer:
50.93 m/s
199.5 kW
Explanation:
From the question, the nozzle exit diameter = 5 cm, Radius= diameter/2= 5cm/2= 2.5cm. we can convert it to metre for unit consistency= (2.5×0.01)=
0.025m
We can calculate the The cross sectional area of the nozzle as
A= πr^2
A= π ×0.025^2
= 1.9635 ×10^- ³ m²
From the question, the water is moving through the pipe at a rate of 0.1 m /s , then for the water to move through it at a seconds, it must move at
(0.1 / 1.9635 ×10^- ³ m²)
= 50.93 m/s
During the Operation of the pump, the Dynamic energy of the water= potential energy provided there is no loss during the Operation
mgh = 1/2mv²
We can make "h" subject of the formula, which is the height of required head of water
h = (1/2mv²)/mg
h= v² / 2g
h = 50.93² / (2 ×9.81)
h = 132.21m
From the question;
The total irreversible head loss of the system = 3 m,
the given position of nozzle = 3 m
the total head the pump needed=(The total irreversible head loss of the system + the position of the nozzle + required head of water )
=(3 + 3 + 132.21m)
=138.21m
mass of water pumped in a seconds can be calculated since we know that mass is a product of volume and density
Volume= 0.1m³
Density of sea water=1030 kg/m
(0.1 m^3× 1030)
= 103kg
We can calculate the Potential enegry, which is = mgh
= (103 ×9.81 × 138.21)
= 139651.5 Watts
= 139.65kW
To determine required shaft power input to the pump and the water discharge velocity
Energy= efficiency × power
But we are given efficiency of 70 percent, then
139651.5 Watts = 0.7P
=199502.18 Watts
P=199.5 kW
Therefore, the required shaft power input to the pump and the water discharge velocity is 199.5 kW
A 2 kg blue car is moving 6 m/s to the right and collides with a 3 kg red car that is moving 2 m/s to the left. The cars collide and stick together. What is their velocity after the collision? Include units on your answer.
Answer:
Their velocity after the collision is 1.2 m/s, to the right.
Explanation:
Given;
mass of the blue car, m₁ = 2 kg
initial velocity of the blue car, u₁ = 6 m/s
mass of the red car, m₂ = 3 kg
initial velocity of the red car, u₂ = 2 m/s
let the blue car moving to the right be in positive direction
also, let the red car moving to the left be in negative direction
Apply the principle of conservation of linear momentum for inelastic collision.
m₁u₁ - m₂u₂ = v(m₁ + m₂)
where;
v is their velocity after the collision
(2 x 6) - (3 x 2) = v(2 + 3)
12 - 6 = 5v
6 = 5v
v = 6/5
v = 1.2 m/s, to the right
Therefore, their velocity after the collision is 1.2 m/s, to the right.
A teacher needed to get a box of old books onto the top shelf of a bookcase in a new
apartment. The box was on the floor at the base of the bookcase. The box had a mass
of 15.0 kg, and it was lifted at a constant speed to the top shelf. A.220 B.22.5 C.0 D.16.5
Answer:
WHY THE HE!! DO YOU HAVE B00BS AS YOUR
PIC
Explanation:
1.) Describe the shape, movement of particles, and the volume of a solid.
2.) Describe the shape. movement of particles, and the volume of a liquid.
30 points please help me ??? ASAP
Answer:
Solids have a definite shape and volume, its particles vibrate slowly.
Liquids have no definite shape, the particles move randomly around its container, and they have a fixed volume.
Why are states in the mid-central United States more likely to have tornados than other areas?
Answer:
because this is where Arctic air, cold fronts that have not been "weakened". As these fronts head further east, they sometimes lose their strength as they travel over more warm air.
When thermal energy is added to an object, what happens to the motion of the particles?
A.
increases
B.
decreases
C.
remains unchanged
D.
decreases, then increases
The answer is A
Explanation:
Ram travel 50metre on a straight road in 30second . hari covers the same distance on the same road in 45s . who has done more work ? who has more ? Explain in short
Answer:
The ram has done more work because the rate at which the ram work is 1.6m/s and Hari is 1.1m/s
A phase diagram assumes______
is kept constant.
Odensity
O volume
O temperature
O pressure
Formulas
Speed = distance / time
Time = distance / speed
Distance = speed x time
A bowling ball rolls 30 meters in 4 seconds. What speed did it travel?
distance = 30m
time = 45
speed = ?
Using s= d/t
7.5 m per second
Please do all of i will give you brainlest and thanks to best answer plz do it right
Answer:
the answer is B
Explanation:
because i had this question in 8th grade
BRAINLYIST ASAPPP write and claim evidence and reasoning statement that explains why mercury and Venus do not have any moons
answer:They are too close to the sun!
Explanation:Because Mercury is so close to the Sun and its gravity, it wouldn't be able to hold on to its own moon. Any moon would most likely crash into Mercury or maybe go into orbit around the Sun and eventually get pulled into it.Same with Venus!
The snow fell on me is my excuse so my mom won’t know that I’m getting bullied
Answer:
Aaaaw noooo. :(
Explanation:
what did they say to u and what state do u live in. I will help u stand up to them. I have taken down many bullies before by using words. in fourth grade, my friend was getting bullied by the class, then yelled and stood up for her. they all fell silent and never bullied her, or any of my friends again. For whatever reason they bully u is probably d.u.m.b. which means they r really d.u.m.b. Also, U should try finding out a lot of personal info about them that they dont want anyone to know. also tell the principal. Is ur mom nice, or mean? if shes nice, she'll support u and fight for u, which means u should address
Answer:
You should stick up for yourself because if you don't then no one else will but im always here to talk to you if you need someone
Explanation:
