Answer:
k = 3.5 N/m
Explanation:
It is given that the time period the bob in pendulum is the same as its time period in spring mass system:
[tex]Time\ Period\ of\ Pendulum = Time\ Period\ of\ Spring-Mass\ System\\2\pi \sqrt{\frac{l}{g}} = 2\pi \sqrt{\frac{m}{k}[/tex]
[tex]\frac{l}{g} = \frac{m}{k}\\\\ k = g\frac{m}{l}[/tex]
where,
k = spring constant = ?
g = acceleration due to gravity = 9.81 m/s²
m = mass of bob = 125 g = 0.125 kg
l = length of pendulum = 35 cm = 0.35 m
Therefore,
[tex]k = (9.81\ m/s^2)(\frac{0.125\ kg}{0.35\ m})\\\\[/tex]
k = 3.5 N/m
A cyclist accelerates from 0 m/s to 8 m/s in 3 seconds. What is his acceleration ? Acceleration= (final velocity-initial velocity)/ time A. 10 m/s/s B. 1.67 m/s/s C. 2.67 m/s/s D. 10.67 m/s/s
Answer:
Acceleration = Δv/t
Acceleration = (8 m/s - 0 m/s)/ 3 s
Acceleration = 8 m/s / 3s
Acceleration = 2.667 m/s²
Explanation:
Answer:
c 2.67
Explanation:
Find the altitude of the triangle in the figure below. Answer in units of m.
The altitude of the triangle is 10.1 m.
What is the altitude of the triangle?We can see that the triangle is a right angled triangle as we can see in the image. The altitude of the triangle is the highest point of the triangle. Let us label the angles A B C
C = 50 degrees
B = 90 degrees
A = 180 - (90 + 50) = 40 degrees
Then;
tan 40 = altitude/ 12 m
altitude = tan 40 degrees * 12 m
= 10.1 m
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pressure problem solving..
We know that Formula to calculate Pressure is Pressure = Force/Area.
It is given that the Water jet exerts a pressure of 20 Mega Pascal on an area of 5m². We convert 20 Mega pascal to Pascal => 20 * 1000000 So, we get Pressure P = 20000000 Pascals, Area = 5 m² Putting values we get Force = P * A => Force = 20000000 * 5
=> Force = 100000000 N
Status weighs 2400 N and base area is 500 cm². Converting the base area from cm² to m², we get Area a = 0.05 m², Force F = 2400 N. Putting values we get Pressure = 2400 * 0.05=> Pressure = 48000 Pascal
It is given that the base area of an object = 3 cm² and the pressure exerted will be 21 Pa. Firstly, We will convert the area from cm² to m² and we get Area a = 0.0003 m², and P = 21 Pa. Putting values in equation we get Force/ Weight of object => F = P*A => F = 21 * 0.0003=> F = 0.0063 N
It is given that the lady weighs 50 kN so, Force F = 50 kN. We will convert force from kN to N => F = 50 * 1000 => F = 50000 N. And, the surface area of heels is 0.0001 m². Putting values in equation, We get : Pressure = F/A => P = 50000/0.0001=> P = 500000000 Pa
It is given that the pressure box exerts on the ground is 20 kPa. The weight of the box is 400 N. First, we will convert pressure from kPa to Pa. Pressure = 20 * 1000 => P = 20000 Pa and Force F = 400 N. Putting these values in equation we get Area = F/P =>Area = 400/20000 => Area = 0.02 m²
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Greta 30 m away her truck she noticed she forgot her tea and returns back to his house. Her total travel time is 240 seconds what is greta average velocity ?
Finding average speed distance
avg = distance/time
time1 – 30 ml + 30 ml
240 s60 m240 s= 0.25m/s
The correct answer is:
• average velocity = 0 m/s
• average speed = 0.25 m/s
What is average speed?The pace at which an object's direction changes as it is traveling is referred to as its velocity and is measured by a particular unit of time and from a particular point of view.
Greta returns to his house after realizing she forgot her tea 30 meters from her pickup. Her journey takes 240 seconds in all.
What is Greta average velocity ?Avg = distance/time time for calculating average speed distance
1 - 30 ml + 30 ml
240 s60 m
240 s= 0.25m/s
The right response is:
• Average speed: 0 m/s
• The typical speed is 0.25 m/s
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why the efficiency of heat engine is always less than 100%
Answer:
because some waste heat is always produced produced in a heat engine.
Explanation:
the fraction of heat input that is converted to a net work output is a measure of the performance of the heat engine and is called the thermal efficiency.Since the machine does not contain a source of energy ,nor can it store energy ,from this conversation of energy the power output of machine can never be greater than its input,so efficiency can be less than 100%.
Explanation:
The efficiency of heat engine is always less than 100% most of the times because of waste energy in form of heat.
Different forms of heating occurs during the working of an engine As the mechanical workings of the engine sets in motion, heat is generated. One of the most common type of the heat is the frictional heating. Therefore, as energy is transformed from one form to another, some are lost as heat. In this regard, the efficiency of the engine suffers.1. You are hired to lift 25 kg crates a vertically 1.0 m from the ground onto a truck. How many crates would you have to load onto the truck in 1 minute for your average power output in lifting the crates to be 110 W
Answer:
The number of crate to be lifted is 27
Explanation:
Given;
mass of the crates, m = 25 kg
height in which the crate is lifted, h = 1.0 m
power output, P = 110 W
time to complete the task, t = 1 minutes = 60 s
The input energy is equal to the gravitational energy due to height the crate is lifted is given as;
E(input) = mgh
E(input) = 25 x 9.8 x 1
E(input) = 245 J
Output energy is given as;
E(output) = P x t
E(output) = 110 x 60
E(output) = 6600 J
Let the number of crate to be lifted = n
n x E(input) = E(output)
n x 245 = 6600
n = 6600 / 245
n = 27 crates
Please help meeeee
For a velocity versus time graph how do you know what the velocity is at a certain time? How do you know the acceleration at a certain time?
Answer:
Explained below
Explanation:
For a velocity time graph, the y - axis will represent velocity while the x - axis will represent time.
Now, to calculate velocity at a certain time t, we will draw a perpendicular line from the time on the x-axis to the graph line and trace the horizontal line from that point to the y-axis which will give the corresponding velocity at that time.
Now, for the acceleration at a time t. After getting the velocity like explained above, we now divide the velocity by the time.
1500 kg wrecking ball traveling at a speed of 3.5 m/s hits a wall that does not crumble but is pushed back 75 cm. If the wrecking ball comes to rest in the wall, what is the size of the force that pushes the wall
Answer:
The size of the force that pushes the wall is 12,250 N.
Explanation:
Given;
mass of the wrecking ball, m = 1500 kg
speed of the wrecking ball, v = 3.5 m/s
distance the ball moved the wall, d = 75 cm = 0.75 m
Apply the principle of work-energy theorem;
Kinetic energy of the wrecking ball = work done by the ball on the wall
¹/₂mv² = F x d
where;
F is the size of the force that pushes the wall
¹/₂mv² = F x d
¹/₂ x 1500 x 3.5² = F x 0.75
9187.5 = 0.75F
F = 9187.5 / 0.75
F = 12,250 N
Therefore, the size of the force that pushes the wall is 12,250 N.
What is the purpose of a resistor
Answer:
So we can have energy for electronics. It limits the flow of electric current
Explanation:
It’s in the answer!
Answer:
Basically, the function of a resistor is always to oppose the flow of current through it and the strength of this opposition is termed as its resistance.
Pulmonary circulation involves blood flow to and from the heart and the ____?
body
digestive organs
skin
brain
lungs
Answer: Lungs
Explanation:
When an ice cube is placed in a glass of warm water, how are the signs and values q for the ice and the warm water related, assuming no heat is lost from or gained by the glass nor the surrounding air
Answer:
q(ice) = -q(warm water)
Explanation:
Ice removes energy if ice is put in warm water and ice retains the very same amount of energy. Thus the water temperature heat sign is negative, and the ice heat sign is positive.
A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius 11.0 m. A passenger feels the seat of the car pushing upward on her with a force equal to three times her weight at the bottom of the dip. What is her speed as she goes through the dip
Answer:
14.69
Explanation:
The circle of radius R = 11.0m
Force f = 3 times her Weight
= 3W = 3mg
Then the net force acting on her
F = W + F(centripetal)
= mg + mv²/r
= Mg + mv²/r = 3mg
Then her speed is going to be
V = √2gr
Where g =9.81m/s²
R = 11.0
When we put these values into the formula we get:
V = √2x9.81x11.0
V = √215.82
V = 14.69
what is the main cause of seafloor spreading?
Answer:
As tectonic plates slowly move away from each other, heat from the mantle's convection currents makes the crust more plastic and less dense.
Explanation:
Answer: The main cause of sea floor spreading are the directions and force of the moving tectonic plates.
Explanation:
Select the best answer for the question.
7. What is the amount of MMF generated by a 50-turn electromagnetic coil supplied by 12 VDC at a current of 1 ampere?
O A. 50 ampere-turns
B. 38 ampere-turns
C. 12 ampere-turns
D. 600 ampere-turns
The correct answer is 600 ampere-turns
We shall first get the expression that provides the magnetomotive force. It is calculated by multiplying the number of spins on the wire by the current flowing through it. To get the solution, we shall alter and substitute the necessary values.
It is crucial to keep in mind that magnetomotive force (mmf), which is similar to electromotive force (emf), drives a current of electrical charge through magnetic circuits. The phrase "magnetomotive force" is deceptive, though, as it neither denotes a force nor something that moves.
M.M.F = NI
N= 50
I = 12 at a current of 1 ampere
M.M.F = NI
= 50 × 12
=600 ampere-turns
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The sound level at 1.0 m from a certain bullfrog is 60 dB. You are surrounded by 18 such bullfrogs, all 1.0 m from you and all croaking equally loudly at the same time. What sound level are you being exposed to
Answer:
The value is [tex]S_a = 72.56 \ dB[/tex]
Explanation:
From the question we are told that
The sound level is [tex]S = 60 dB[/tex]
The distance from the source is d = 1 m
The number of sources is n = 18
Generally the sound which the person is been exposed to is mathematically represented as
[tex]S_a = S + 10log(18)[/tex]
=> [tex]S_a = 60 + 10log(18)[/tex]
=> [tex]S_a = 72.56 \ dB[/tex]
You are pushing a large box across a frictionless floor by applying a constant horizontal force. If the box starts at rest, you have to do work W 1 in order for the box to travel a distance d in time T . How much work would you have to do, in terms of W 1 , to make the box go the same distance in half the time
Answer:
You would have to do four times the work W₁ to make the box go the same distance in half the time.
Explanation:
By definition work is:
[tex] W = F*d [/tex] (1)
Where:
F: is the force and d: is the distance
On the other hand, the force is given by:
[tex] F = ma [/tex] (2)
By entering equation (2) into (1):
[tex] W = F*d = m*a*d [/tex] (3)
Also, we can express the acceleration in terms of distance and time by using the following kinematic equation:
[tex] d_{f} = d_{0} + v_{0}t + \frac{1}{2}at^{2} [/tex] (4)
Where:
[tex]d_{f}[/tex]: is the final distance
[tex]d_{0}[/tex]: is the initial distance = 0
[tex]v_{0}[/tex]: is the initial speed = 0 (the box starts at rest)
t: is the time
[tex] d_{f} = \frac{1}{2}at^{2} [/tex]
Solving for a:
[tex] a = \frac{2d_{f}}{t^{2}} [/tex] (5)
Initially we have:
t = T₁, W = W₁, [tex]d_{f}[/tex] = d
[tex] a_{1} = \frac{2d}{T_{1}^{2}} [/tex]
[tex] W_{1} = m*a_{1}*d = m*d*\frac{2d}{T_{1}^{2}} = 2m(\frac{d}{T_{1}})^{2} [/tex]
And when the box goes the same distance in half the time:
[tex] t = \frac{T_{1}}{2} [/tex]
The acceleration is (from equation 5):
[tex]a_{2} = \frac{2d_{f}}{t^{2}} = \frac{2d}{(\frac{T_{1}}{2})^{2}} = \frac{8d}{T_{1}^{2}}[/tex] (6)
Finally, the work W₂ in terms of W₁ is:
[tex]W_{2} = m*a_{2}*d = m*d*\frac{8d}{T_{1}^{2}} = 8m(\frac{d}{T_{1}})^{2} = 4*[2m(\frac{d}{T_{1}})^{2}] = 4W_{1}[/tex]
Therefore, you would have to do four times the work W₁ to make the box go the same distance in half the time.
I hope it helps you!
Please help me out! Thank you so much!!!
Answer:
d is answer because w to between 10 to plus 10 more answers d
Please help me with all questions I will mark you brainly thank you
Answer:
2 output energy 3 not you full energy
A bus leaves an intersection accelerating at +2.0 m/s2. Part A Where is the bus after 7.5 s?
Express your answer to two significant figures and include the appropriate units.
The distance covered is 56 m.
What is acceleration?We define acceleration as the rate at which the velocity changes with time. We can find the position of the bus by the use of the equations of kinematics.
Using the equation;
s = ut + 1/2at^2
u = initial velocity
a = acceleration
t = time taken
Since the bus started from rest u = 0 m/s
s = 1/2at^2
s = 0.5 * 2 * (7.5)^2
s = 56 m
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The wheel attached to a bicycle has a diameter of .59 m. If the wheel makes 7 rotations in a second, how fast is the cyclist traveling
Answer: the cyclist traveling at 12.96 m/s
Explanation:
Given that;
diameter = 0.59 m
radius = 0.295 m
the wheel makes 7 rotations in a second,
in every rotation, it travels a distance of 2πr
so
total distance
= 7 × 2πr
= 7 × 2 × 3.14 × 0.295
= 12.96 m
Therefore velocity = 12.96 m/s
so the cyclist traveling at 12.96 m/s
how is electricity generated from solar cell?
Explanation:
When the sun shines onto a solar panel, energy from the sunlight is absorbed by the PV cells in the panel. This energy creates electrical charges that move in response to an internal electrical field in the cell, causing electricity to flow.
Calculate the magnitude of the cat's acceleration (assumed constant) while it is stopping.
Express your answer with the appropriate units.
The correct answer is 9.11 g m/s^2
Height from which a cat drops, h = 3.6 ft = 3.6 x 0.305 m = 1.098 m
Distance travelled to stop the cat, s = 12 cm = 0.12 m
Using the equation, v^2 = u^2 + 2as,
v^2 = 0 + 2gh = 2 x 9.8 x 1.098 = 21.52
v = 4.63 m/s
Speed of the cat when it the floor, v = 4.63 m/s
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A 10-mm-diameter cable is strung between a series of poles that are 50 m apart. Determine the horizontal force this cable puts on each pole if the wind velocity is 34 m/s.
Answer:
The value is [tex]F = 562.7 \ N[/tex]
Explanation:
From the question we are told that
The diameter is [tex]d = 10 \ mm = 0.01 \ m[/tex]
The distance between the poles is L = 50 m
The velocity of the wind is [tex]v = 34 \ m/s[/tex]
Generally the horizontal force the cable puts on each other is mathematically represented as
[tex]F = \frac{1}{2} * C_D * \rho * v^2 * A[/tex]
Here A is the area of the rope(i.e assuming the rope to be a cylinder ) which is mathematically represented as
[tex]A = L * d[/tex]
=> [tex]A = 0.01 * 50[/tex]
=> [tex]A = 0.5[/tex]
Here [tex]C_D[/tex] is the coefficient of discharge of the rope and the value is [tex]C_D = 1.5[/tex]
[tex]\rho[/tex] is the density of air with value [tex]\rho = 1.225 \ kg/m^3[/tex]
So
[tex]F = \frac{1}{2} * C_D * \rho * v^2 * A[/tex]
=> [tex]F = \frac{1}{2} * 1.5 * 1.225 * 34^2 * 0.5[/tex]
=> [tex]F = 562.7 \ N[/tex]
A large pot is placed on a stove and 1.2 kg of water at 14°C is added to the pot. The temperature of the water is raised evenly to 100°C just before it starts to boil. (a) What amount of heat is absorbed by the water in reaching 100°C? (b) The water then boils until all of it has evaporated, turning to water vapor at 100°C. How much heat does the water absorb in this process?
Answer:
a) the amount of heat absorbed by the water is 431995.2 J
b) the amount of heat absorbed during evaporation is 2712000 J
Explanation:
Given that;
mass of water Mw = 1.2 kg
Specific heat capacity of water Cw = 4186 J/kg.C
Change in temperature ΔT = final T - Initial T = 100 - 14 = 86°C
Now
A)
Heat required to raise the temperature of water is expressed as:
Q = Mw × Cw × ΔT
Q = 1.2 × 4186 × 86
Q = 431995.2 J
Therefore the amount of heat absorbed by the water is 431995.2 J
B)
Then heat absorbed during evaporation will be:
Q1 = Heat absorbed during phase change from water to steam = Mw × Lv
Lv = latent heat of vaporization of water = 2.26 × 10⁶ J/kg
so
Q1 = 1.2 × 2.26 × 10⁶ = 2712000 J
Therefore the amount of heat absorbed during evaporation is 2712000 J
Clear selection
10 points
A laptop battery stores energy with an efficiency of 80%. If 16 000 J of
energy are transferred to the laptop from the battery, how much energy
must have been transferred to the battery?
20 kJ
20 J
1.28 kJ
12 800 J
Next
Page 1 of 2
Answer:
20000J or 20kJ
Explanation:
Given parameters:
Efficiency of the battery = 80%
Amount of energy transferred = 16000J
Unknown:
How much energy was transferred to the battery = ?
Solution:
Since the battery is 80% efficient, it loses 20% of energy anytime it wants to store energy.
Now, 16000J of energy is contained in the battery, the original amount of energy sent to the battery;
Let the amount of energy sent to the battery be y
80% of y = 16000
0.8y = 16000
y = 20000J or 20kJ
A bowling ball with a mass of 5 kg is rolled at an acceleration of 2 m/s2. What is the force of the bowling ball when it hits the pins? (Hint: Force = ?)
Answer:
[tex]F=10\ N[/tex]
Explanation:
[tex]We\ are\ given\ that,\\Mass\ of\ the\ bowling\ bowl=5\ kg\\Acceleration\ of\ the\ ball=2\ m/s^2\\Hence,\\As\ we\ know\ that\ F=ma\\Here,\\Force\ of\ the\ bowling\ ball\ when\ it\ hits\ the\ pins=Mass\ of\ the\ bowling\ bowl* its\ Acceleration.\\Hence,\\F=5*2\\F=10\ Newtons\\[/tex]
8th grade science, Two questions.
Please help me
Answer:
for 10 some advantages are that it has a much better bandwidth,low power loss, and it allows for longer transmission distance.
part 1 of 2 Consider the acceleration of a particle along a straight line with an initial position of 8m and an initial velocity of 3 m/s. acceleration (m/s²) what is the velocity at 1 s
Answer:
Using, s=ut+
2
1
at
2
s
1
=u+
2
1
a
or, 3=u+
2
a
∴a=6−2u
s
2
=2u+
2
1
a×4
8=2u+2a
Solving the equations
8=2u+2(6−2u)
8=2u+12−4u
2u=4
u=2m/s
∴a=6−2u=6−4=2m/s
2
I NEED SOMEOME TO HELP MEEEE NOWWWW I WILL GIVE YOU. 75 POINTSSSS
Simulated gravity in a man-made space station occurs because of _______.
Answer:
In space, it is possible to create "artificial gravity" by spinning your spacecraft or space station