A sled of mass m is coasting at a constant velocity on the ice covered surface of a lake. Three birds, with a combined mass 0.5m, gently land at the same time on the sled. The sled and birds continue sliding along the original direction of motion. How does the kinetic energy of the sled and birds compare with the initial kinetic energy of the sled before the birds landed
Complete Question
A sled of mass m is coasting at a constant velocity on the ice covered surface of a lake. Three birds, with a combined mass 0.5m, gently land at the same time on the sled. The sled and birds continue sliding along the original direction of motion. How does the kinetic energy of the sled and birds compare with the initial kinetic energy of the sled before the birds landed?
a) The final kinetic energy is one half of the initial kinetic energy.
b) The final kinetic energy is one third of the initial kinetic energy.
c) The final kinetic energy is one quarter of the initial kinetic energy.
d) The final kinetic energy is one ninth of the initial kinetic energy.
e) The final kinetic energy is equal to the initial kinetic energy
Answer:
The correct option is b
Explanation:
From the question we are told that
The mass of the sled is m
The mass of the three birds is [tex]m_b = 0.5 m[/tex]
Generally from the law of momentum conservation,
The initial momentum of the boat = final momentum of the boat
Hence
[tex]m * v = (m_b+ m) * v_2[/tex]
=> [tex]m v = (0.5m+ m) * v_2[/tex]
=> [tex]m v = 1.5m* v_2[/tex]
Here v is the velocity of the boat before the birds landed and [tex]v_2[/tex] is the velocity after the birds landed
So
[tex]v_2 = \frac{2}{3} v[/tex]
Generally the initial velocity of the boat before the birds landed is mathematically represented as
[tex]K_i = \frac{1}{2} * m * v ^2[/tex]
Generally the final velocity of the boat when the birds have landed is mathematically represented as
[tex]K_f = \frac{1}{2} * (m_b + m ) * v_2^2[/tex]
=> [tex]K_f = \frac{1}{2} * (0.5m + m ) * (\frac{2}{3} v)^2[/tex]
=> [tex]K_f = \frac{1}{2} * 1.5m * (\frac{2}{3} v)^2[/tex]
=> [tex]K_f = \frac{1}{2} * 1.5m * \frac{4}{9} v^2[/tex]
=> [tex]K_f = \frac{1}{2}m v^2 * \frac{1}{3}[/tex]
Comparing this equation with that of the initial kinetic energy
=> [tex]K_f = \frac{1}{3} K_i[/tex]
The kinetic energy of the sled and birds is one-third the initial kinetic energy of the sled before the birds landed.
What is kinetic energy?When an object is in motion, then the energy possessed by the object at the state of motion is known as its kinetic energy.
Given data -
The combined mass of three birds is, M = 0.5m.
Let m be the mass of the sled. Then applying the conservation of linear momentum as,
The initial momentum of the boat = final momentum of the boat
mv = (M + m)v'
v is the velocity of the boat before the birds landed and v' is the velocity after the birds landed.
mv = (0.5m + m)v'
mv = 1.5mv'
v = 3/2 v'
or
v' =2/3v
The initial kinetic energy of the boat before the birds landed is mathematically represented as
[tex]K_{1}= \dfrac{1}{2}mv^{2}[/tex]
And the final kinetic energy of the boat when the birds have landed is mathematically represented as,
[tex]K_{2}=\dfrac{1}{2}(M+m)v'^{2}\\\\K_{2}=\dfrac{1}{2}(1.5m) \times 4/9v^{2}\\\\K_{2}=\dfrac{1}{3} \times \dfrac{1}{2}mv^{2}\\\\K_{2}=\dfrac{1}{3} \times K_{1}[/tex]
Thus, we can conclude that the kinetic energy of the sled and birds is one-third the initial kinetic energy of the sled before the birds landed.
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To describe a position in more than one
dimension, you must use more than one______
Answer:
To describe a position in more than one dimension you must use more than one reference point. The reference point is a basis for evaluation, assessment or comparison; a criterion.
Explanation:
Hope this answer help :D
Answer:
reference point
Explanation:
need help ASAP. please and thank you
An area that has been re-colonized after an environmental disturbance has undergone ____________. Group of answer choices Stratification Zonation Primary Succession Secondary Succession
Answer:
Secondary succession
Explanation:
Secondary succession is one of the two major types of ecological successions (the other being primary succession). Succession, generally, is characterized by the series of changes that occurs to an ecological community within a period of time.
However, secondary succession occurs when an already colonized area (with soil formed) becomes disturbed by environmental disasters or occurrences, leading to the recolonization of the area by certain organisms. Therefore, an area that has been re-colonized after an environmental disturbance has undergone SECONDARY SUCCESSION.
What is the frequency (n, in Hz) of the photons emitted by a He-Ne laser with a wavelength (l) of 632.8 nm
Answer:
4.741 × 10¹⁴ Hz
Explanation:
Step 1: Given data
Wavelength of the He-Ne laser (l): 632.8 nmFrequency of the He-Ne laser (n): ?Speed of light (c): 3.000 × 10⁸ m/sStep 2: Convert "l" to meters
We will use the conversion factor 1 m = 10⁹ nm.
632.8 nm × (1 m / 10⁹ nm) = 6.328 × 10⁻⁷ m
Step 3: Calculate the frequency of the He-Ne laser
We will use the following expression.
c = l × n
n = c / l
n = (3.000 × 10⁸ m/s) / (6.328 × 10⁻⁷ m)
n = 4.741 × 10¹⁴ s⁻¹ = 4.741 × 10¹⁴ Hz
Greg paid $3.60 for a package of 8 nails at the home store. John paid $3.18 for a package of 6 nails at the hardware store. How much more did John pay per nail than Greg?
(PLS HELP ( . *)^( . *)
Answer:
8 cents extra.
Explanation:
First find out how much one nail is for each of them. So, divide.
3.60 divided by 8 is 0.45.
3.18 divided by 6 is 0.53.
Subtract 0.45 from 0.53 and voila you have 0.08.
Answer:
5
Explanation:
76789967
When an atom gains or loses electrons, it has an electrical charge. It is known as
Answer:
ion
Explanation:
Atoms can gain or lose making them no longer neutral they become charged and it is called ion.
A ball is dropped from a 19m high cliff. The acceleration on the ball was 9.8m/s². What was the ball's final velocity before hitting the ground?
Answer:
19.3 m/s
Explanation:
Take down to be positive. Given:
Δy = 19 m
v₀ = 0 m/s
a = 9.8 m/s²
Find: v
v² = v₀² + 2aΔy
v² = (0 m/s)² + 2 (9.8 m/s²) (19 m)
v = 19.3 m/s
Which statement describes earthquakes?
They release energy
They are caused by reduced stress in rocks
They begin at the epicenter
The result for movement on earth’s surface
Answer:
they release energy
Explanation:
An earthquake is the abrupt release of energy from the earth's crust that causes the earth's surface to shake . Thus , seismic waves are produced. The kind and severity of an earthquake are based on the local seismic activity . therefore the correct answer is option A.
What is the equator?The Equator is an imaginary line passing through the middle of a globe. It is equidistant from the North Pole and the South Pole, Its is a horizontal line residing at 0 degrees latitude .
An earthquake is the abrupt release of energy from the earth's crust that causes the earth's surface to shake . Thus, seismic waves are produced. The kind and severity of an earthquake are based on the local seismic activity .
Thus, the correct answer is option A .
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Calculate the maximum energy that a 3-MeV alpha particle can transfer to an electron in a single collision.
Answer:
The maximum energy that can be transferred to an electron in a single collision of alpha particle is 1.63 keV
Explanation:
let mass of electron, Me = 1
let mass of proton, Mp = 1836Me = 1836
let mass of alpha particle, Ma = 4Mp = 7344
The maximum energy that can be transferred to an electron in a single collision is given by;
[tex]Q_{max} = \frac{4mME}{(M+m)^2}\\\\Q_\alpha_{max} = \frac{4(1)(7344)(3\ MeV)}{(1+7344)^2} = 0.00163 \ MeV = 1.63 \ KeV[/tex]
Therefore, the maximum energy that can be transferred to an electron in a single collision of alpha particle is 1.63 keV
Which of the following tests uses calipers to assess body composition? A. skinfold test B. sit-and-reach C. arm hang D. curl-up Please select the best answer from the choices provided.
Answer:A.skinfold test
Explanation:
i just took the test
Answer:
A. Skinfold test
Explanation:
Edg 2020
which produces wave particles that move and displace one another
Answer:
a guitar?
Explanation:
2.What is the weight of an object that has a mass of 5 kg?
Answer:
5 kg
or 11 lbs
Explanation:
An airplane is flying at a velocity of 79 m/s eastward relative to the air. Due to a high-pressure region to the north, the velocity of the air relative to the ground is 18 m/s southward. Find the ground speed of the airplane.
I need helpppppppppppppppppp!
Answer:
i think its B
Explanation:
but check it before do it
Answer:
A
Explanation:
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Part D
Which two kinds of energy are associated with flames?
Answer:
Thermal energy and electrical energy
Explanation:
Answer:
Hello!!! Princess Sakura here ^^
Explanation:
The two kinds of energy are thermal and electrical.
Which of the following fields can only exist in one direction?
2
A crane has an arm to which is attached a frictionless pulley. A cable passes over the pulley and
supports a load of 10 kN as shown.
frictionless pulley
104N
30
30°
crane arm
load
10 KN
The crane arm exerts a force F on the pulley.
What is the value of F?
C
8.7 KN
10 KN
D
A
17 kN
B
5.0 KN
Answer:
17kN
Explanation:
The force of 10 kN in the cable and the load of 10 kN both have a component along the crane arm.
The force F exerted by the crane arm on the pulley is the sum of these 2 components.
Component of force in cable along the crane arm = 10 cos 30°
Component of load along the crane arm = 10 cos 30°
Considering the forces on the pulley,
F = 10 cos 30° + 10 cos 30°
Force F = 17.32 kN = 17 kN
A vector is 9.55m long and points in a -48.0 degree direction. find the x component
Answer:
x=6.39 m
Explanation:
Rectangular Components of a Vector
Vectors can be expressed in several forms, including the magnitude-angle form, and the rectangular-coordinates form.
If the magnitude r and angle β are given, we can find the rectangular coordinates (x,y) as follows:
[tex]x=r\cos\beta[/tex]
[tex]y=r\sin\beta[/tex]
The vector of the question has a magnitude of r=9.55 m and an angle β=-48°. The x-component is:
[tex]x=9.55\cdot\cos(-48^\circ)[/tex]
Using a digital calculator:
x=6.39 m
1. Suppose you have a metal bar. Its mass is 57.9g and its volume is 3cm'. What is its
density?
¡Hellow!
How we know, for calculate density, we can use the formule:
[tex]\boxed{\textbf{p = m / v} }[/tex]
Where:
[tex]\sqrt{[/tex] p = Density = ?
[tex]\sqrt{[/tex] m = Mass = 57,9 g
[tex]\sqrt{[/tex] v = Volume = 3 cm³
Let's replace according we information:
p = 57,9 g / 3 cm³
p = 19,3 g/cm³
The density of the metal bar is 19,3 g/cm³.
¿Good luck?
an airplane travels down a Runway at 1500 m in 17s what is the average speed
Answer:
88.23 m/s
Explanation: The equation for speed is s=d/t so in other words, speed equals distance over time so the distance is 1500 and the time is 17 seconds so you just devide 1500 by 17 and you get the speed. Remember to include your unit m/s after your answer
A man with mass 60 kg rides a Ferris wheel that has a radius of 20 m. The man is sitting on a scale. If the man's translational (linear) speed during the ride is a constant 5 m/s, what would the scale read at top of the ride
Answer:
75NExplanation:
in this problem we are expected to solve for the force, and this force, is the centripetal force exerted on the man/
we know that the expression for the centripetal force is given as
F=mv^2/r
given data
mass, m=60kg
radius, r= 20m
velocity, v= 5m/s
Substituting into the expression we have
F=60*5^2/20
F=60*25/20
F=1500/20
F=75N
The reading at the top of the ride will be 75N
Why is friction like applied force but different from gravity?
Answer:
Friction is when a force is applied or done by weight dragging onto something.
Explanation:
Gravity is when an object is getting pulled toward the center of what is attracting it. And applied force is when someone/sommething is applying force.
A car is moving with a constant speed of 70.0 mi/h (31.2 m/s). If its wheels have a radius of 24.1 cm, what is their angular speed
Answer:
129.46rad/s
Explanation:
Given
Linear speed v = 31.2m/s
Radius of wheel = 24.1cm = 0.241m
The formula for calculating the angular speed in terms of linear speed is expressed as;
v = wr
w is the angular velocity
r is the radius
v is the linear velocity
From the formula:
w = v/r
Substitute
w = 31.2/0.241
w = 129.46rad/s
Hence the angular speed is 129.46rad/s
Are renewable resources always renewable, or can they become non-renewable
Answer:
Can become non-renewable but it depends on the object
Explanation:
Answer:
Renewable resources are so abundant or are replaced so rapidly that, for all practical purposes, they can't run out. Fossil fuels are the most commonly used non-renewable resources
Explanation:
Hope this helps (:
The barren-ground caribou shown below is a large herbivore that lives in a subarctic climate near Yellowknife, Canada. Which of these is NOT an adaptation found in caribou?
A. Caribou have wide feet to help them avoid sinking into deep snow.
B. Caribou can digest a diet of grasses, twigs, and mushrooms.
C. Caribou can hold their breath for up to nine minutes underwater.
D. Caribou migrate between a summer location with abundant food and a winter location where conditions (weather, food, snow cover) are more favorable.
Answer:
C - Caribou can hold their breath for up to nine minutes
Explanation:
The other three are true.
The statement which is NOT an adaptation found in Caribou is:
C. Caribou can hold their breath for up to nine minutes underwater.According to the given question, we need to find the adaptation which is false from the answer choices about the large herbivore called Caribou.
As a result of this, the adaptation which cannot be found in Caribou is the statement that Caribou can hold their breath underwater for up to nine minutes which is false.
Therefore, the correct answer is option C
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Does time of flight depend on initial speed?
What is the correct order of organization from smallest to largest?
a.Tissues, cells, organs, organism, organ system
b.Cells, organs, tissues, organ system, organism
c.Organs, tissues, organ system, cells, organism
d.Cells, tissues, organs, organ system, organism
Answer:
D
Explanation:
Cells are the smallest unit of organizaiton, followed by tissues, organs, organ systems, and then organisms themselves.
If the force from the tibia on the femur illustrated below was 1000 N acting at 30° to the femur,
what are the components of this force Fs and Fl:
1000 N
F
300
Answer:
tibia would be 100N x 300
Explanation:
A placekicker kicks a football at and angle of 40.0 degrees and the initial speed of the ball is 22 m/s. Ignoring air resistance, determine the maximum height that the ball attains.
Answer:
10.18mExplanation:
in this problem, we are expected to solve for the maximum height of a projectile (the ball)
Firstly, the expression for maximum height is
h = u ^2 *sin ^2 θ /2 g
Given data
initial velocity u=22m/s
angle of projection, θ= 40degrees
substituting into the expression we have
h = 22^2 *sin (40)^2 /2 *9.81
h = 484*0.413 /19.62
h =199.892 /19.62
h=10.18m
The maximum height is 10.18m
The maximum height attains by ball is 48.64 meter.
The maximum height is given by using formula,
[tex]h=\frac{u^{2}*sin2\theta }{g}[/tex]
Where u is initial velocity, and value of [tex]g=9.8m/s^{2}[/tex]
Given that, [tex]u=22m/s,\theta=40,g=9.8m/s^{2}[/tex]
Substituting above values in formula.
[tex]h=\frac{(22)^{2}*sin80 }{9.8} =\frac{484*0.98}{9.8} =48.64m[/tex]
Hence, the maximum height attains by ball is 48.64 meter.
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