Answer:
(a) The length of the stretched string is approximately 42.53846 cm
(b) The elastic potential energy stored in the string is approximately 0.073877 Joules
Explanation:
(a) The given parameter are;
The force constant of the vertical spring, k = 26 N/m
The relaxed length of the spring, L = 35 cm = 0.35 m
The mass attached to the end of the spring, m = 200 g = 0.2 kg
By Hooke's law, we have;
F = k·x
Where;
F = The applied force on the sting = The weight of the attached mass, W
∴ F = W
The weight of the attached mass, W = m × g
Where;
g = The acceleration due to gravity ≈ 9.8 m/s²
Therefore, F = W = 0.2 kg × 9.8 m/s² = 1.96 N
From Hooke's law, we have;
x = F/k = 1.96 N/(26 N/m) ≈ 0.0753846 m
The extension of the stretched spring, x ≈ 0.0753846 m
The length of the stretched string, L[tex]_{stretched}[/tex] = L + x
∴ L[tex]_{stretched}[/tex] ≈ 0.35 m + 0.0753846 m ≈ 0.4253846 m
0.4253846 m = 42.53846 cm
The length of the stretched string ≈ 42.53846 cm
(b) The elastic potential energy stored in the string, U = 1/2·k·x²
By substituting the known values, we get;
U = 1/2 × 26 N/m × (0.0753849 m)² ≈ 0.073877 Joules
h m u i m he ll a b o r e d
Answer:
KITTEEENNSSSSS last one is what i got for critsmas KlikBot Hexagon Special Pack
Explanation:
When the Sun is directly overhead, a
hawk dives toward the ground at a speed of
3.31 m/s.
If the direction of his motion is at an angle
of 35° below the horizontal, calculate the
speed of his shadow along the ground.
Answer in units of m/s.
Answer:
2.71 m/s
Explanation:
Apply the formula for cosine of an angle where;
The hypotenuse is the speed the hawk dives towards the ground : 3.31 m/s
The angle of direction of motion from the horizontal is : 35°
Speed of the shadow along the ground will be, A ;
Cosine 35° = A / 3.31
A= 3.31 cosine 35°
A= 2.71 m/s
Metals are good conductors of heat because .
Answer:
They have the highest melting point so that mean that the temperature and the are a conductive to electricity.
Explanation:
What does an electromaget do
Answer:
An electromagnet is a magnet that runs on electricity. Unlike a permanent magnet, the strength of an electromagnet can easily be changed by changing the amount of electric current that flows through it. The poles of an electromagnet can even be reversed by reversing the flow of electricity.
Which two quantities can be expressed using the same units?
1.energy and force
2.impulse and force
3.momentum and energy
4.impulse and momentum
Answer: impulse and momentum
Explanation:
Impulse and momentum- two quantities can be expressed using the same units. Hence, option (4) is correct.
What is impulse?In physics, the term "impulse" is used to characterize or measure the impact of force operating gradually to alter an object's motion. It is often stated in Newton-seconds or kilograms per second and is denoted by the symbol J.
Because a body with momentum cannot be halted, it must be forced to move in the opposite direction for a predetermined amount of time. The harder it is to stop, the more momentum there is. Consequently, more force must be applied and more time must be spent to stop the body.
Mathematically,
impulse = force· time
= mass × acceleration × time
= mass × ( change in velocity/time) × time
= mass × change in velocity
= change in momentum.
Hence, both Impulse and momentum have same unit.
Learn more about impulse here:
https://brainly.com/question/16980676
#SPJ2
A wheel of mass 50 kg has a radius of 0.4 m. It is making 480 rpm. What is the
torque necessary to bring it to rest in 40 seconds?
Solution:
Answer:
The torque necessary to bring the wheel to rest in 40 seconds is 10.4 N·m
Explanation:
The question is with regards to rotational motion
The rotary motion parameters are;
The mass of the wheel = 50 kg
The radius of the wheel = 0.4 m
The rate of rotation of the wheel = 480 rpm
The time in which the wheel is to be brought to rest = 40 s
The rotational rate of the wheel in rotation per second is given as follows;
480 r.p.m = 480 r.p.m × 1 minute/(60 seconds) = 8 revolution/second
1 revolution = 2·π radians
Therefore, we have the angular velocity, ω, given as follows;
ω = 2·π × 8 revolutions/second ≈ 50.3 rad/s
The angular acceleration, α, is given as follows;
[tex]\alpha = \dfrac{\Delta \omega}{\Delta t} = \dfrac{\omega _2 - \omega_1}{t_2 - t_1}[/tex]
Whereby the wheel is brought to rest from its initially constant rotational motion in 40 seconds, we have;
ω₁ ≈ 50.3 rad/s, ω₂ = 0 rad/s, and t₂ - t₁ = 40 seconds
Plugging in the values for the variables of the equation for the angular acceleration, "α", we get;
[tex]\alpha = \dfrac{0 - 50.3 \ rad/s}{40 \ s} \approx 1.3 \ rad/s^2[/tex]
The torque on the wheel, τ, is given as follows;
τ = m·r²·α
Where;
m = The mass of the object = 50 kg
r = The radius of the wheel = 0.4 m
α = The acceleration of the wheel ≈ 1.3 rad/s²
Therefore;
τ = 50 kg × (0.4 m)² × 1.3 rad/s² ≈ 10.4 N·m
The torque necessary to bring the wheel to rest in 40 seconds = τ ≈ 10.4 N·m.
Answer:
-10.048 N m
Explanation:
Obtain a pillow made of foam rubber. Press
down hard with your two hands on the surface
of the pillow. Then withdraw your hands
Describe what happened to its shape while you
pushed hard on the pillow and when you
withdrew your pushing. Repeat this activity on
a piece of rectangular block of wood and a
plasticine. Note the different effects.
Answer: Only foam rubber is compressible material
Explanation:
The pillow is made up of foam rubber which can be compressed easily due to the soft compressible rubber with hands on application of pressure on the surface. The shape of pillow regain its original shape when the pressure is withdrawn from the pillow. If the same activity is performed on the piece of rectangular block of wood and plasticine. Then the rectangular block of wood cannot be compressed with hand as it is a solid body. Plasticine is a putty like material. It is a clay like material and it can be compressed with hand but when the pressure is withdrawn the plasticine does not regain its shape back.
Velocities of two bodies A and B are given in vectors notation as va =i+2j-3k and Vb=3i+2j-k what will be the relative velocity of b with respect to a?
Answer:
[tex]V_{B/A}=2i+2k[/tex]
Explanation:
The relative velocity can be calculated by means of the difference between vector B minus vector A.
[tex]V_{A}=i+2j-3k\\V_{B}=3i+2j-k\\V_{B}-V_{A}=(3-1)i + (2-2)j+(-1-(-3))k\\V_{B/A}=2i+2k[/tex]
what should be angle between force and displacement to get the maximum work
Answer: The angle between force and displacement should be θ = 90° for minimum work. The angle between force and displacement should be θ = 0° for maximum work.
1. What happens to the orbit of the planet if the mass of the sun changes?
Answer:
If the sun's mass were to double without pushing or pulling on the Earth, then the Earth's orbit will change to an ellipse which brings it out to our current radius but spends most of its time closer to the sun. The tides would probably get even stronger then, particularly when our orbit takes us closer to the sun.
Explanation:
320 joules of work were done by a force of 80 newtons. Over what
distance was the force applied?
44m
80m
4m
40m
Answer:
[tex]4\:\mathrm{m}[/tex]
Explanation:
The formula for work is given as [tex]W=F\Delta x[/tex] where [tex]F[/tex] is force applied and [tex]\Delta x[/tex] is displacement.
Rearranging this equation, we have:
[tex]\Delta x=\frac{W}{F}[/tex].
Plugging in given values, we get:
[tex]\Delta x=\frac{W}{F}=\frac{320}{80}=\fbox{$4\:\mathrm{m}$}[/tex].
Answer:
The answer is 4m
Explanation:
hope this helps!
plz help asap
Which of the following techniques would be used to treat a disease based on the humoral theory?
perform a surgery
administer an enema
prescribe an antibiotic
administer a vaccine
The theory of plate tectonics explains the cause of which natural occurrence?
avalanches
floods
earthquakes
eruptions
Answer:
Given the body part: They would administer a vaccine Plate tectonics: It describes earthquakesA Skydiver has a mass of 48kg, what is the force that she exerts as she is falling to the ground?
Answer:
470.4N
Explanation:
Given parameters:
Mass of the skydiver = 48kg
Unknown:
Force she exerts as she is falling to the ground = ?
Solution:
The force she exerts while falling to the ground is her weight;
Weight = mass x acceleration due to gravity
Acceleration due to gravity = 9.8m/s²
Weight = 48 x 9.8 = 470.4N
The Periodic Table Question 3 of 10 Based on the trend in valence electrons across periods for main-group elements, how many valence electrons does fluorine (F) have? O A. 4 B. 7 O C. 6 D. 5 SUBT
Answer:
B. 7
Explanation:
Fluorine has 7 valence electrons in its orbitals.
The valence electrons are electrons in the outermost shell of an atom. Every element has a certain amount of valence electrons.
Fluorine belongs to the 7 - group on the periodic table. Every element in this group has 7 electrons in their outermost shell. The elements in the group are called halogens. Other elements in this group are fluorine, chlorine, bromine, iodine and astatine.Answer:
7
Explanation:
5
Select the correct answer.
Which statement best explains the relationship between electric force and the charges on two interacting objects?
СА.
Electrical force is directly proportional to the product of the charges on the two objects.
B.
Electrical force is inversely proportional to the product of the charges on the two objects.
Electrical force is inversely proportional to the product of the squares of the charges on the two objects.
D. Electrical force is directly proportional to the product of the squares of the charges on the two objects.
Answer:
Electrical force is directly proportional to the product of the charges on the two objects.
Explanation:
The electric force between two charges is given by :
[tex]F=\dfrac{kq_1q_2}{d^2}[/tex]
Where
k is electrostatic constant
q₁ and q₂ are charges
d is the distance between charges
It can be very clear that the electric force is directly proportional to the product of charges and inversely proportional to the square of the distance between them.
Hence, the correct option is (a) "Electrical force is directly proportional to the product of the charges on the two objects".
What led astronomers to believe in the existence of dark matter?
A. the fact that space is black
B. the big bang theory
C. the apparent effects of the gravity of unseen matter on visible objects
D. the existence of black holes
Question 1 of 10
Which option is a potential environmental benefit of adopting a new
technology?
A. Expanded customer base
B. Improved product quality
C. Higher numbers of sales
D. Reduced emission of pollutants
SUBMIT
Answer:
Its obviously number D
Explanation:
When it comes to environmental benefit, Reducing emission of pollutants does the best job.
Reduced emission of pollutants is a potential environmental benefit of adopting a new technology.
What are pollutants?The elements, molecules, and particles that contribute to pollution are known as pollutants; life can be injured by exposure to these substances, and their impacts on people and plants are widely documented.
There are several ways that pollutants can enter the environment, both naturally and through human activity.
Depending on the type of pollution, what happens to it once it is released into the air, soil, or water supply.
Therefore, Reduced emission of pollutants is a potential environmental benefit of adopting a new technology.
To learn more about pollutants, refer to the link:
https://brainly.com/question/28519286
#SPJ2
Hi!! Does anyone know the answer!! :D
Answer:
C. Contour Farming
If the boy travelled 2 meters to the right and 4 meters to the left what is the total distance that he travelled?
4 m
-4 m
6 m
2 m
Answer:
6m
Explanation:
2+4=6
Brian Berg of lowa built a house of cards 4.88 m tall. Suppose Berg throws a ball from ground level
with a velocity of 9.98 m/s straight up. What is the velocity of the ball as it first passes the top of
the card house?
Answer:
Vf = final velocity = 1.96 [m/s]
Explanation:
To solve this problem we must use the following equation of kinematics.
[tex]v_{f}^{2}=v_{o}^{2}-2*g*x[/tex]
where:
Vf = final velocity [m/s]
Vo = initial velocity = 9.98 [m/s]
g = gravity acceleration = 9.81 [m/s²]
x = vertical distance [m]
[tex]v_{f}^{2}=(9.98)^{2}-2*9.81*4.88\\v_{f}^{2} = 99.6-95.74\\v_{f}=\sqrt{3.8544}\\v_{f}=1.96[m/s][/tex]
Note: The negative sign of the gravity acceleration means that the gravity acceleration is pointing in the opposite direction of the movement.
If the magnification produced by a lens has a negative value, the image will be
A) virtual and inverted
B) virtual and erect
C) real and erect
D) real and inverted
Answer:
I think it's B, not quite sure tho.
which property of a conducting wire is utilised in making electric fuse
Answer:
property of low melting point
Explanation:
When too much current flows through the low resistance element of the fuse, the element melts and breaks the circuit
Gamma radiation is composed of neutrons and protons.
A. True
B. False
Answer:
false
Explanation:
Answer:
The answer is B false
Explanation:
Gamma radiation is not composed of both neutrons and protons.
Putting the ball back into play by the offense is called a ____ ____
Answer:
Hand ball ?
Explanation:
Can someone please help?
Answer:
B
Explanation:
Speed is distance divided by time.
The density of a substance is 879.26 g/mL. What is the volume of 48 g of the substance?
PLEASE HELP!!!
Which two conditions would result in the weakest electric force between objects?
Answer:
B
Explanation:
objects are conductors with unbalanced charges
Answer:
D & A
Explanation:
what is a recovery heart rate?
Answer:Recovery heart rate is simply your pulse rate after exercise. Some fitness specialists refer to it as the post-exercise heart rate. The pulse number is used for different reasons in different settings.
Explanation:
Answer:
Heart rate is the speed of the heartbeat measured by the number of contractions of the heart per minute.
Explanation:
800 joules of work were done with a force of 200 newtons. Over what
distance was the force applied?
20 m
40 m
4 m
2 m
Answer:
4m
Explanation:
800/200
someone please help with this
Answer:
The new force is 2/3 of the original force
Explanation:
Coulomb's Law
The electrical force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between the two objects.
Written as a formula:
[tex]\displaystyle F=k\frac{q_1q_2}{d^2}[/tex]
Where:
[tex]k=9\cdot 10^9\ N.m^2/c^2[/tex]
q1, q2 = the objects' charge
d= The distance between the objects
Suppose the first charge is doubled (2q1) and the second charge is one-third of the original charge (q2/3). Now the force is:
[tex]\displaystyle F'=k\frac{2q_1*q_2/3}{d^2}[/tex]
Factoring out 2/3:
[tex]\displaystyle F'=\frac{2}{3}k\frac{q_1*q_2}{d^2}[/tex]
Substituting the original force:
[tex]F'=\frac{2}{3}F[/tex]
The new force is 2/3 of the original force