Answer:
3MN/m
Explanation:
Step one:
given data
Kinetic Energy KE=15,000J
mass m= 0.5kg
compression x= 0.1m
Step two:
The expression for the energy stored in spring is
[tex]KE= 1/2ke^2\\\\15000=1/2 *k*0.1^2\\\\15000=1/2*k*0.01\\\\15000=0.005k\\\\[/tex]
divide both sides by
0.005
[tex]k= 15000/0.005\\\\k=3000000\\\\k= 3MN/m[/tex]
From conservation of energy, the value of the spring constant for the tennis ball launcher according to the data is 3 x [tex]10^{6}[/tex] Nm
The work done by a tennis ball launcher by using a spring to propel the ball forward is equal to the kinetic energy which is 15,000 Joule. That is,
W = K.E
The given parameters are:
K.E = 15,000 J
Mass m = 0.5 kg
compression x = 0.1 m
The elastic potential energy on the spring will be equal to the work done by the tennis ball launcher. That is,
E = W
since W = K.E
E = K.E
1/2k[tex]x^{2}[/tex] = 1/2m[tex]v^{2}[/tex] = 15,000
1/2k[tex]x^{2}[/tex] = 15000
Substitute for 0.1 for x
1/2 K ([tex]0.1^{2}[/tex]) = 15000
[tex]0.1^{2}[/tex] K = 30000
K = 30000/0.01
K = 3 x [tex]10^{6}[/tex] Nm
Therefore, the value of the spring constant for the tennis ball launcher according to the data is 3 x [tex]10^{6}[/tex] Nm
Learn more about Elasticity here: https://brainly.com/question/9821607
Write down the factors on which moment depends upon ?
Answer:
The size of a forceThe perpendicular distance from the pivot the line of action of forceExplanation:
Factors that affect the moment of a force are;
The size of a forceThe perpendicular distance from the pivot the line of action of forceThe magnitude of force applied is directly proportional to the moment of force in that for a perpendicular distance d, increased in force applied will result to a higher moment of force. When the perpendicular distance from the pivot is decreased while the force applied remains constant, the moment of force decreases.
What is the magnification of an object that is 4.15 m in front of a camera that has an image position of 5.0 cm? I need to show work and i don’t know what to do
Would a ship in Lake Ontario (fresh water) float higher or lower in the water than in the Atlantic Ocean (salt water)?
Atlantic Ocean (salt water)
2. What is the acceleration of gravity on Planet x on which an object weights 300 N if it weighs 98 N on Earth?
Answer:on Planet X on which an object weighs 300 N if it weighs 98 N on Earth? ... How are weight, mass, and acceleration due to gravity related
Explanation:
A man standing on top of a 30 m tall building throws a brick downwards with a velocity of 12 m/s. Determine the speed of the brick just before it hits the ground.
Answer:
27.1m/s
Explanation:
Given parameters:
Height of the building = 30m
Initial velocity = 12m/s
Unknown:
Final velocity = ?
Solution:
We apply one of the kinematics equation to solve this problem:
v² = u² + 2gh
v is the final velocity
u is the initial velocity
g is the acceleration due to gravity
h is the height
v² = 12² + (2 x 9.8 x 30)
v = 27.1m/s
4. The electric force between electric charges is much larger than the
gravitational forces between charges. Why, then, is the gravitational force
between the Earth and the Moon much larger than the electric force between
them?*
A. The electric force is small in comparison because charges are VERY small but the
gravitational force has to do with the mass of the Earth and Moon.
B. The electric charge is actually greater and the question is false.
C. The phases of the Moon determine the amount of electric and gravitational force.
The electric force is small in comparison because charges are VERY small but the
gravitational force has to do with the mass of the Earth and Moon.
They did a flu shot from McKinnon at 45° to the horizontal with an initial speed of 25 m/s and that is positioned at a horizontal distance of 50 m from the canyon from which it is shot how long does it take the daredevil to travel the 50 m horizontally
Answer:
The time taken for the daredevil to travel the 50 m horizontally is 2.83 s.
Explanation:
Given;
angle of projection, θ = 45°
initial speed of the projectile, u = 25 m/s
horizontal distance traveled by the projectile, x = 50 m
The time taken for the daredevil to travel the 50 m horizontally is calculated as;
[tex]t =\frac{X}{u_x}[/tex]
where;
[tex]u_x[/tex] is the horizontal component of the velocity = uCosθ
[tex]t =\frac{X}{u Cos \ \theta} \\\\t =\frac{50}{25 \times Cos(45)} \\\\t= \frac{50}{17.678} \\\\t = 2.83 \ s[/tex]
Therefore, the time taken for the daredevil to travel the 50 m horizontally is 2.83 s.
1.Seema is the wife of and Rahul is the brother of Robin. Robin is the only uncle of Ram .What is Ram relation with Seema ?
Answer:
Ram is the son of Seema
When magma is cooled, it changes into which of the following?
Answer: You didnt finish the question. But as magma cools it turns to igneous rock.
Can yall help me please?? I can't get it wrong!
Answer:
The answer should be C
Explanation:
help meeeeeeeeeeee
i need help on drawing a school gym for one of my classes
Answer:
a little to late
Explanation:
srry
Nuclear Physicist or Scientist (It doesn't really matter)
Describe the properties of waves that make the technology that a Nuclear Physicist or Scitenist uses possible. If you have chosen a research career, what topics are the researchers interested in learning more about? Some properties you can discuss include: transverse or longitudinal, wavelength, frequency, amplitude, travels through a vacuum or does not
Thank you!
Answer:
Radio waves
Explanation:
If an atom has 16 protons, 14 neutrons, and 19 electrons, what is the atom's electrical charge?
A +2
B.-3
C.-2
D.-5
Answer:
Thus, each atom or ion must contain 16 protons. We are told that the ion also has 14 neutrons, meaning the mass number of the ion is 16 + 14 = 30 Because the ion has 16 protons and 19 electrons, its net charge is -3.
A clock's hour hand goes through 1.5 revolutions in 90
minutes.Calculate the angular displacement of the minute hand in
degrees
Answer:
Explanation:
how far around a circle is once around in degees?
1.5 * 360 = 540°
Which lighting source has lower energy costs and a longer life but can be dangerous?
a. fluorescent
b. laser
c. incandescent
d. neon
Answer: I'm like 98% sure it's fluorescent cause it's got mercury
Explanation:
what is the measurements unit for force
Answer:
newton
newtonThe SI unit of force is the newton, symbol N. The base units relevant to force are: The metre, unit of length — symbol m.
How does static electricity apply to car
paint application?
Answer:
For electrostatic paint to be applied, the vehicle needs to be grounded and positively charged. This creates a magnetic attraction to the negatively charged paint. Due to this charge, when the paint leaves the nozzle, it is attracted to the vehicle's charge and will stick to it.
Explanation:
what is the velocity of a car that travels 175 miles in 3.0 hours ?
Answer:
58.3333333
miles
Explanation:
Using the information given, find the Atomic Mass of the unknown element: 12 PROTONS, 12 NEUTRONS, 12 ELECTRONS
Answer:
A. 12
Explanation:
why do prescribed drugs need to be prescribed by doctors what can happen if you abuse these drugs without a pressure?
Answer:
unperscriebed drugs can e harmful to your body
Explanation:
HELPPP!! WHAT TWO THINGS WOULD HAVE THE SAME POTENTIAL ENERGY?? PLS HELP
Answer:
The amount of gravitational potential energy an object has depends on its height and mass. The heavier the object and the higher it is above the ground, the more gravitational potential energy it holds. Gravitational potential energy increases as weight and height increases.
Answer:
A rock and a drilled nail
Explanation:
Both objects are not moving potential energy means no movement no energy and both objects never move
If an element forms a 2+ ion in which group of the periodic table would you expect to find it
Im so nervous about something and I need advice!!! PPPLLLLZZZZ DO NOT REPORT!! WILL MARK BRAINLIEST!!!
Answer: depends on what your nervous about
Explanation:tell me what your nervous about
Is visible light a form of
radiation? Explain.
Answer:
Yes,in fact visible 'light' is a form of radiation, which can be defined as an energy that travels in the form of electromagnetic waves. It can also be described as a flow of particle-like 'wave-packets', called photons, that travel constantly at the speed of light (about 300 000 kilometres per second).
Explanation:
2. Two projectiles thrown from the same point at angles 0,=60° and 02=30° with the horizontal,
attain the same height. What is the ratio of their initial velocities (Voi:Voz)?
Answer:
The answer is below
Explanation:
The maximum height (h) of a projectile with an initial velocity of u, acceleration due to gravity g and at an angle θ with the horizontal is given as:
[tex]h=\frac{u^2sin^2\theta}{2g}[/tex]
Given that the two projectile has the same height.
[tex]For\ the\ first\ projectile\ with\ an\ angle\ \60^0 \ with\ the\ horizontal\ and initial\ velocity\ u_1:\\\\h=\frac{u_1^2sin^260}{2g} =\frac{0.75u_1^2}{2g} \\\\For\ the\ second\ projectile\ with\ an\ angle\ \30 \ with\ the\ horizontal\ and initial\ velocity\ u_2:\\\\h=\frac{u_2^2sin^230}{2g} =\frac{0.25u_2^2}{2g}\\\\\frac{0.25u_2^2}{2g}=\frac{0.75u_1^2}{2g}\\\\0.25u_2^2=0.75u_1^2\\\\\frac{u_1^2}{u_2^2} =\frac{0.25}{0.75} \\\\\frac{u_1^2}{u_2^2}=\frac{1}{3} \\[/tex][tex]\\\frac{u_1}{u_2}=\sqrt\frac{1}{3}[/tex]
How are mass and volume alike
The cease to exist when placed in a liquid
They are only found in solids
They always stay the same
They are both measured in grams
Please help as fast you can
Answer:
d a
Explanation:
Between ball B and ball C, ball ____ has LESS potential energy because ___
a: c;its mass is greater
b: b;its mass is smaller
c: c; its mass is smaller
d: b;its mass is greater
Answer: b
Explanation:
Ec= (1/2)m × v^2
By the formula, you can see that the bigger the mass, the bigger the Cinetic Energy.
b: b; its mass is smaller
Between ball B and ball C, ball B has LESS potential energy because its mass is smaller.
A potential energy, stored energy that depends upon the relative position of various parts of a system. A spring has more potential energy when it is compressed or stretched.
Potential energy is given by formula.
[tex]P.E= m*g*h[/tex]
Since, P.E is directly proportional to mass. Thus, the ball having smaller mass will have the less P.E.
Thus, option b is correct.
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A 3.0 g bullet traveling at a speed of 400 m/s enters a tree and exits the other side with a speed of 200 m/s. Where did the bullet's lost KE go, and what was the energy transferred?
Answer:
1800J
Explanation:
Step one:
given data
mass of bullet m= 3g= 0.03kg
initial velocity u = 400m/s
final velocity v= 200 m/s
Step two:
1.The bullet's lost kinetic energy went inside the tree.
2. The energy transferred is computed as
= initial KE- KE final
Initial KE= 1/2mu^2
Initial KE= 1/2*0.03*400^2
Initial KE= 1/2*0.03*160000
Initial KE= 1/2*4800
Initial KE= 2400J
KE final= 1/2mv^2
KE final= 1/2*0.03*200^2
KE final= 1/2*0.03*40000
KE final= 1/2*1200
KE final= 600J
KE transferred = 2400-600
KE transferred= 1800J
A train is accelerating at a rate of 2.0 m/s/s. If it accelerates at this rate for 30
seconds, what is the change of velocity? *
Answer:
60m/s
Explanation:
Given parameters:
Acceleration = 2m/s²
Time = 30s
Unknown:
Change in velocity = ?
Solution:
Acceleration is the rate of change of velocity with time.
Mathematically;
Acceleration = [tex]\frac{Change in velocity }{Time }[/tex]
Now,
Change in velocity = Acceleration x time
So,
input the parameters and solve;
Change in velocity = 2 x 30 = 60m/s