Answer:
2.71 m
Explanation:
Force is the product of mass and acceleration
F=m*a
Work done is the product of force and distance
Work done=F*d
In this case;
F= 35 N
Work done = 95 J
95 =35 * d
95 /35 = d
2.71 m= d
A wagon wheel consists of 8 spokes of uniform diamter, each of mass m, and length L. The outer ring has a mass m rin. What is the moment of inertia of the wheel through an axis through the center and perpendicular to the plane of the ring? Assume that each spoke extends from the center to the outer ring is of negligible thickness.
Answer:
[tex]L^2(\dfrac{8m}{3}+m_r)[/tex]
Explanation:
m = Mass of each rod
L = Length of rod = Radius of ring
[tex]m_r[/tex] = Mass of ring
Moment of inertia of a spoke
[tex]\dfrac{mL^2}{3}[/tex]
For 8 spokes
[tex]8\dfrac{mL^2}{3}[/tex]
Moment of inertia of ring
[tex]m_rL^2[/tex]
Total moment of inertia
[tex]8\dfrac{mL^2}{3}+m_rL^2\\\Rightarrow L^2(\dfrac{8m}{3}+m_r)[/tex]
The moment of inertia of the wheel through an axis through the center and perpendicular to the plane of the ring is [tex]L^2(\dfrac{8m}{3}+m_r)[/tex].
A 310 kg car is parked in a parking garage. If the car has 35,944 J of potential energy, how many
meters above ground is the car?
Gravitational potential energy is the energy stored in an object as the result of its vertical position or height. It can be calculated as its weight times the height. This is:
[tex]\boxed{U_g=W\cdot h=mgh}[/tex]
Where:
W is the weight of the objectm is the massg is gravitational accelerationh is the heightSolving for the h:
[tex]h=\dfrac{U_g}{mg} = \dfrac{35944\;J}{310\;kg\cdot 9.8\;m/s^2} = 11.8\;m[/tex]
R/ The car is parked 11.8 m above ground
At what speed do a bicycle and its rider, with a combined mass of 110 kgkg , have the same momentum as a 1400 kgkg car traveling at 6.0 m/sm/s
Answer:
76.36m/sExplanation:
Step one:
given data
let the mass of the rider be m,=110kg
let the velocity be v=?
let the mass of the car be M,=110kg
let velocity of the car V=6m/s
Step two:
the momentum of an object is given by the expression
P=mv
Step two:
since the two the bicycle rider must have the same momentum as the car,
then we need to equate their momentum
mv=MV
110*v=1400*6
110v=8400
divide both sides by 110 to find v
v=8400/110
v=76.36m/s
The rider is expected to have a speed of 76.36m/s
A grocery store sells 5-lb bags of mangoes. You purchase four bags over the course
of a month and weigh the mangoes cach time. You obtain the following
measurements:
Week 1 weight: 4.8 lb
Week 2 weight: 5.3 lb
Week 3 weight: 4.9 lb
Week 4 weight: 5.4 lb
is the measurement accurate or precise?
Answer:
Accurate
Explanation:
Accuracy deals with the nearness of the measured values to the true value.
Precision is the ability to reproduce a certain result in a repeated fashion.
From the given masses of the 5-lb bags, we see that the mean value of the measurement is 5.1-lbThis value is very close to the original mass of the bag which is 5-lb bags. We can say the reading is accurateThe reading is not precise because, the same weight is not reproduced. Different values of weight was reported from each of the measurement process.
The United States and South Korean soccer teams are playing in the first round of the World Cup. An American kicks the ball, giving it an initial velocity of 4.3 m/s. The ball rolls a distance of 5.0 m and is then intercepted by a South Korean player. If the ball accelerates at −0.50 m/s2 while rolling along the grass, find its velocity at the time of interception.
Answer:
Vf = 3.67 [m/s]
Explanation:
To solve this problem we must use the following equation of kinematics.
[tex]v_{f} ^{2} =v_{i} ^{2} -(2*a*x)[/tex]
where:
Vf = final velocity [m/s]
Vi = initial velocity = 4.3 [m/s]
a = acceleration or desacceleration = 0.5 [m/s²]
x = distance = 5 [m]
Note: The negative sign in the above equation means that the velocity of the ball is decreasing (desacceleration).
Now replacing:
Vf² = (4.3)² - (2*0.5*5)
Vf² = 18.49 - 5
Vf² = 13.49
using the square root, we have.
Vf = 3.67 [m/s]
Tires of a Bigfoot truck has a diameter of 2.2 m. If it rotates 60 revolutions find distance travel on the road.
Answer:
[tex]s = 414.7 m\\[/tex]
Explanation:
The relationship between the linear distance covered by an object and its angular displacement is given by the following formula:
s = rθ
where,
s = distance traveled on road = ?
r radius of tires = diameter/2 = 2.2 m/2 = 1.1 m
θ = angular displacement = (60 rev)(2π rad/1 rev) = 377 rad
Therefore,
[tex]s = (1.1 m)(377 rad)\\s = 414.7 m[/tex]
a baseball was thrown with an initial velocity of 14 m/s at an angle above the horizontal . It remained in the air for 2 s. Which of the following quantities was constant while the baseball was in the air?
Answer:
Explanation:acceleration
If a baseball was thrown with an initial velocity of 14 m/s at an angle above the horizontal. It remained in the air for 2 seconds, then the acceleration of the object would remain constant while the baseball was in the air.
What is a projectile motion?It can be defined as the motion of any object or body when thrown from the earth's surface and follows any curved path under the effect of the gravitational force of the earth.
As given in the problem a baseball was thrown with an initial velocity of 14 m/s at an angle above the horizontal. It remained in the air for 2 seconds.
Thus, If a baseball was thrown with an initial velocity of 14 m/s at an angle above the horizontal. It remained in the air for 2 seconds, then the acceleration of the object would remain constant while the baseball was in the air.
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The heating element on an electric iron has a resistance of 24 ohm and draws a current of
5.0 A. How much work is done if the iron is used for 45 minutes?
Answer:
1620000J
Explanation:
Given parameters:
Resistance = 24ohm
Current = 5A
Time = 45min
Unknown:
Work done = ?
Solution:
Electrical work done is given as the product of power with time;
Electrical work done = power x time
Power = I²R
Electrical work done = I²R x time
Convert the given time to seconds;
1min = 60s
45 min = 45 x 60 = 2700s
Now,
Work done = 5² x 24 x 2700 = 1620000J
Please help me on this
Answer:
Explanation:
read the assignment and use this
Topic sentence
Evidence from the text
Thoughts in your own words
Opinion
Wrap up sentence
T
E
T
O
W
and 2 of those make 2 paragraphs
During a medieval siege of a castle, the attacking army uses a trebuchet to hurl heavy stones at the castle walls. If the trebuchet launches the stones with a velocity of +48.5" m"/s at an angle of 42.0°, how long does it take the stone to hit the ground? For those settings, what is the maximum range? How high will the stones go? Show all your work
Answer:
a) t = 6.62 s
b) x = 238.6 m
c) H = 53.7 m
Explanation:
a) We can find the time of flight as follows:
[tex] y_{f} = y_{0} + v_{0_{y}}t - \frac{1}{2}gt^{2} [/tex]
Where:
[tex]y_{f}[/tex] is the final height = 0
[tex]y_{0}[/tex] is the initial height = 0
[tex]v_{0_{y}}[/tex] is the initial vertical velocity of the stone
t: is the time
g: is the gravity = 9.81 m/s²
[tex] v_{0}sin(42)t - \frac{1}{2}gt^{2} = 0 [/tex]
[tex] 48.5 m/s*sin(42)*t - \frac{1}{2}9.81 m/s^{2}*t^{2} = 0 [/tex]
By solving the above quadratic equation we have:
t = 6.62 s
b) The maximum range is:
[tex] x = v_{0_{x}}t = 48.5 m/s*cos(42)*6.62 s = 238.6 m [/tex]
c) The maximum height (H) can be found knowing that at this height the final vertical velocity of the stone is zero:
[tex] v_{f_{y}}^{2} = v_{0_{y}}^{2} - 2gH [/tex]
[tex] H = \frac{v_{0_{y}}^{2} - v_{f_{y}}^{2}}{2g} = \frac{(48.5 m/s*sin(42))^{2} - 0}{2*9.81 m/s^{2}} = 53.7 m [/tex]
I hope it helps you!
Difference between relating velocity and angular velocity?
Answer:
Linear velocity is speed in a straight line (measured in m/s) whileangular velocity is the change in angle over time (measured in rad/s, which can be converted into degrees as well).
Explanation:
hope this helps :)
A box is pressed against a vertical wall by a force F which is directed horizontally. If the magnitude of F is the minimum required to hold the box at rest, what is its value
Answer:
F = mg /μ
Explanation:
For this exercise we define a coordinate system with the horizontal x axis and the vertical y axis, let's write the equilibrium equations for each axis
X axis
F -N = 0
F = N
Y axisy
fr - W = 0
fr = W (2)
the force and touch have the expression
fr = μ N
we substitute
fr = μ F
we substitute in 2
μ F = m g
F = mg /μ
Which expression can be used to calculate centripetal acceleration?
4p2r/T2
4p2r/T
2pr/T
(2pr)2/T2
Answer:
What is the magnitude of the centripetal acceleration of a car following a curve of radius 500 m at a speed of 25.0 m/s (about 90 km/h)? Compare the acceleration with that due to gravity for this fairly gentle curve taken at highway speed. See Figure 2a.
Strategy
Because v and r are given, the first expression in
a
c
=
v
2
r
;
a
c
=
r
ω
2
a
c
=
v
2
r
;
a
c
=
r
ω
2
is the most convenient to use.
Solution
Entering the given values of v = 25.0 m/s and r=500 m into the first expression for ac gives
a
c
=
v
2
r
=
(
25.0
m/s
)
2
500
m
=
1.25
m/s
2
a
c
=
v
2
r
=
(
25.0
m/s
)
2
500
m
=
1.25
m/s
2
.
Discussion
To compare this with the acceleration due to gravity (g = 9.80 m/s2), we take the ratio of
a
c
g
=
(
1.25
m/s
2
)
(
9.80
m/s
2
)
=
0.128
a
c
g
=
(
1.25
m/s
2
)
(
9.80
m/s
2
)
=
0.128
. Thus, ac=0.128 g and is noticeable especially if you were not wearing a seat belt.
Explanation:
How many electrons and how many protons
are in an atom of Fluorine?
19
10
9
Explanation:
a fluorine atom has nine protons and electrons so it is electrically neutral
Answer:
no bloody idea
Explanation:
???
If the change in kinetic energy of a tennis ball hit by the racket
is 29), and the average force that the racket exerts on the ball
is 80. N, what is the distance that the force is exerted over?
Answer: .36 m
Explanation:
The distance that the force is exerted over is equal to 0.3625 meter.
Given the following data:
Change in kinetic energy = 29 Joules.Average force = 80 NewtonTo calculate the distance that the force is exerted over, we would apply the law of conservation of energy.
The law of conservation of energy.According to the law of conservation of energy, the work done by an external force equals the change in kinetic energy for the motion of the tennis ball hit by the racket.
Mathematically, this is given by this expression:
[tex]Work\;done = \Delta K.E = Fd[/tex]
Where:
F is the force.d is the distance.Substituting the given parameters into the formula, we have;
[tex]29 = 80 \times d\\\\d=\frac{29}{80}[/tex]
Distance, d = 0.3625 meter.
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An object that weighs 2.450 N is attached to an ideal massless spring and undergoes simple harmonic oscillations with a period of 0.640 s. What is the spring constant of the spring
A certain frictionless simple pendulum having a length L and mass M swings with period T. If both L and M are doubled, what is the new period?
a. T
b. 2T
c. √2T
d. T/2
e. T/4
Answer:
c. √2T
Explanation:
The period of a simple pendulum is given by;
[tex]T = 2\pi \sqrt{\frac{L}{g} } \\\\\frac{T}{2\pi} = \sqrt{\frac{L}{g}} \\\\\frac{T^2}{4\pi^2} = \frac{L}{g}\\\\\frac{g}{4\pi^2} = \frac{L}{T^2}\\\\ \frac{L_1}{T_1^2}= \frac{L_2}{T_2^2}\\\\T_2^2 = \frac{L_2T_1^2}{L_1}\\\\L_2 = 2L_1\\\\ T_2^2 = \frac{2L_1T_1^2}{L_1}\\\\ T_2^2 =2T_1^2\\\\T_2 = \sqrt{2T_1^2}\\\\T_2 = T_1\sqrt{2}[/tex]
Thus, the the new period will be √2T
What will happen to the speed of the Greenhouse effect if all the methane trapped in the permafrost is released into the
earth's atmosphere?
Answer:
The atmosphere would become warmer
Explanation:
methane absorbs the suns heat, therefore warming the atmosphere. if all the methane from the premafrost melted, would would have a huge large scale global warming, the giant increase of temperature could have devistating effects on all life on our planet.
A ball is projected horizontally from the top of a 92.0-meter high cliff with an initial speed of 19.8m/s. Determine the horizontal displacement.
Answer:
85.14 m
__________________________________________________________
(y) denotes "in the vertical direction"
(x) denotes "in the horizontal direction"
We are given:
Initial Horizontal velocity of the Ball (u(x)) = 19.8 m/s
Initial height of the ball (s(y)) = 92 m
Initial Vertical velocity of the Ball (u(y)) = 0 m/s
Time taken to reach the ground:
taking downwards direction as positive
Since the horizontal velocity is not opposed by any force, it will be the same until the ball reaches the ground
The vertical velocity will be increasing at a rate of (10 m/s)/s until the ball hits the ground
ay = 10 m/s²
So, while calculating the time. we can just ignore the horizontal velocity
Solving for the time taken:
s(y) = u(y)t + 1/2a(y)t² [second equation of motion]
92 = (0)(t) + 1/2(10)(t)² [replacing the variables]
92 = 5t²
t² = 92/5 [dividing both sides by 5]
t = √18.4 [taking the square root of both sides]
t = 4.3 seconds
So, it took the ball 4.3 seconds to reach the ground
Horizontal Distance travelled by the ball:
We know that the ball will reach the ground in 4.3 seconds
Since the horizontal velocity will not change, the ball will move with a constant velocity of 19.8 m/s in the horizontal direction
Horizontal distance travelled:
s(x) = u(x)t + 1/2a(x)t² [second equation of motion]
s(x) = (19.8)(4.3) + 1/2(0)(t)² [replacing the variables]
s(x) = 85.14 m
Hence, the ball travels 85.14 m horizontally
1. A ball is launched horizontally at 40 m/s while 6.0 m above a level field . How far will the ball move horizontally before striking the ground ?
Answer:
44 m
Explanation:
Given that,
Horizontal velocity of the ball, u = 40 m/s
It is 6 m above the level field.
We need to find the distance covered by the ball when move horizontally before striking the ground. Let it is d.
Firstly, we will find time taken for the ball to hit the ground. Using second equation of motion as follows :
[tex]s=ut+\dfrac{1}{2}at^2[/tex]
Put u = 0 and a = g
[tex]s=\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{2s}{g}} \\\\t=\sqrt{\dfrac{2\times 6}{9.8}} \\\\t=1.1\ s[/tex]
No finding the horizontal distance as follows :
d = ut
d = 40 m/s × 1.1 s
d = 44 m
So, the ball will move 44 m horizontally before striking the ground.
QUESTION If the angular acceleration were doubled for the same duration, by what factor would the angular displacement change
Answer:
By a factor of 2
Explanation:
The angular displacement would change by a factor of 2.
The angular acceleration is represented by the formula
α = Δw / Δt, where
α = angular acceleration
Δw = change in velocity.
Δt = change in time taken
The angular displacement is given by the relation
s = rθ
s = arc length
r = distance
θ = angular displacement
We all know that velocity is the ratio of displacement and time, thus,
v = s/t
Angular acceleration on the other hand says that
α = w/t, substitute w for v, we have
α = s/t ÷ t
α = s/t * 1/t
α = s/t²
We see here that multiplying the acceleration by 2 will only be balanced by increasing the displacement by the same number, 2 in this case
as a result of photosynthesis is the production of sugar molecules known as what?
Answer:
Glucose
Explanation:
Answer:
Check in your science textbook
A piston above a liquid in a closed container has an area of 0.75m^2, and the piston carries a load of 200kg. What will be the external pressure on the upper surface of the liquid?
Answer:
2613.3 pa
Explanation:
p=F/A
p=ma/A
p=200×9.8/0.75
p=2613.3
Tell what is an element in your words ?
Please help
Answer: an element is a substance that cannot be broken down. it can’t be chemically decomposed into a different substance. elements are made up of just one atom
Explanation:
Arrange an 8-, 12-, and 16-Ω resistor in a combination that has a total resistance of 8.89 Ω pls with de work
After school, you watch your friend Katie run to a truck as soon as she hears the truck's music playing. Later, you find out the truck is the ice cream vendor's vehicle. How would a behaviorist interpret Katie's running to the truck?
Katie has been conditioned to the music and has associated the musical truck with serving ice cream.
Katie uses the music as a test of her biological reflexes.
Katie feels empathetic for the man driving the ice cream truck in such hot weather and wants to take him a drink of water.
Katie remembers the pattern of the music and knows the truck is too far away to reach unless she runs.
Answer:
A- Katie has been conditioned
Explanation:
Katie has associated the ice cream truck music with something positive like ice cream that makes her happy. it's kinda like a dog clicker, whenever a dog hears the click they know that click means a treat, which is the same for Katie, ice cream jingle means treat.
Two objects, A and B, have the same volume and are completely submerged in a liquid, although A is deeper than B. Which object, if either, experiences the greater buoyant force?
a. Object B, because the closer an object is to the surface, the greater is the buoyant force.
b. Both objects experience the same buoyant force.
c. Object A, because, being at a greater depth, it experiences a greater pressure.
Answer:it would probably be C
Explanation:
Atoms of elements in the same group of the periodic table share the same
Answer:
Atoms of elements in the same group of the periodic table share the same ELECTRONS
Explanation:
May I have brainliest please? :)
How many degrees should a planet move across the sky when completing one revolution around the Sun?
Answer: 18o degrees
Explanation: :)
The planet should move across the sky when completing one revolution around the Sun is 180 degrees.
What is Planet?Planets are large, spherical celestial objects that are neither stars nor their leftovers. The nebular hypothesis, which states that an interstellar cloud collapses out of a nebula to create a young protostar orbited by a proto-planetary disk, is the best theory currently available for explaining planet formation.
More than 5,000 exoplanets, as they are known, were found as a result of further astronomical advancements. These consist of hot Jupiter's, which are enormous planets that revolve around their parent.
The steady accumulation of matter accelerated by gravity, or accretion, is how planets expand within this disk. There are at least eight planets in the Solar System, including the gigantic planets Jupiter, Saturn, Uranus, and Neptune as well as the terrestrial planets Mercury, Venus, Earth, and Mars.
Therefore, the planet should move across the sky when completing one revolution around the Sun is 180 degrees.
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Earth receives light and heat energy from the sun. Every now and then Ohio has
a
blue, sunny day. When the sun is shining, Ms. Welch can feel the heat of the sun on
her face.
How does light and heat energy from the sun reach Earth?
By mechanical waves that transfer heat and light energy
By radio waves that transfer heat and light energy
By electromagnetic waves that transfer heat and light energy
By sound waves that transfer heat and light energy
his
Answer: By electromagnetic waves that transfer heat and light energy
Explanation: electromagnetic waves travels through space it cant be radio waves use electromagnetic waves so they can travel through spac too but with the help of electromagnetic waves.
please give brainliest, tell if right or wrong
Thanks have a good day :)!
Light and heat energy from sun reach earth by electromagnetic waves that transfer heat and light energy.
What are electromagnetic waves?
The electromagnetic radiation consists of waves made up of electromagnetic field which are capable of propogating through space and carry the radiant electromagnetic energy.
The radiation are composed of electromagnetic waves which are synchronized oscillations of electric and magnetic fields . They are created due to change which is periodic in electric as well as magnetic fields.
In vacuum ,all the electromagnetic waves travel at the same speed that is with the speed of air.The position of an electromagnetic wave in an electromagnetic spectrum is characterized by it's frequency or wavelength.They are emitted by electrically charged particles which undergo acceleration and subsequently interact with other charged particles.
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