Answer:
v = 98.1 m/s
Explanation:
We will apply the law of conservation of energy here, between peak A and peak B.
Total Energy of Ball at A = Total Energy of Ball at B
[tex]K.E_{A}+P.E_{A}=K.E_{B}+P.E_{B}\\where,\\K.E_{A} = Kinetic\ Energy\ of\ ball\ at\ Peak\ A = \frac{1}{2}mv^{2} \\K.E_{B} = Kinetic\ Energy\ of\ ball\ at\ Peak\ B = \frac{1}{2}m(0)^{2} = 0\ J (since, ball\ stops\ at\ last) \\[/tex]
[tex]P.E_{A} = Potential\ Energy\ of\ ball\ at\ Peak\ A = mgh_{A}\\P.E_{B} = Potential\ Energy\ of\ ball\ at\ Peak\ B = mgh_{B}[/tex]
[tex]\frac{1}{2}mv^{2} + mgh_{A} = 0\ J + mgh_{B}\\m(\frac{1}{2}v^{2} + gh_{A}) = mgh_{B}\\v = \sqrt{2g(h_{B}-h_{A})}\\where,\\h_{A} = height\ pf\ peak\ A = 5\ m\\h_{B} = height\ pf\ peak\ B = 10\ m\\v = \sqrt{2(9.81\ m/s^{2})(10\ m-5\ m)}\\[/tex]
v = 98.1 m/s
Madeline fires a bullet horizontally. The rifle is 1.9 meters above the ground. The bullet travels 200 meters horizontally before it hits the ground. What speed did Madeline's bullet have when it exited the rifle?
Answer:
322.6 m/s
Explanation:
Given that there are two components of position;
x= vot
y component is;
y= 1.9 - gt^2/2
When the bullet hits the ground, y=0
1.9 -gt^2/2 =0
Where g = 10ms^-2
t= √2 × 1.9/10
t= 0.62 secs
Therefore,
x= vot
vo = x/t
Where, x= 200 m
vo= 200/0.62 =
vo= 322.6 m/s
What is the squirrels escape velocity in mph if the squirrel accelerates at a constant 1.5 m/s squared from rest for 2.5s
Answer:
3.75 m/s
Explanation:
From the question given above, the following data were obtained:
Acceleration (a) = 1.5 m/s²
Initial velocity (u) = 0 m/s
Time (t) = 2.5 s
Final velocity (v) =?
a = (v – u) / t
1.5 = (v – 0) / 2.5
1.5 = v / 2.5
Cross multiply
v = 1.5 × 2.5
v = 3.75 m/s
Hence, the escape velocity of the squirrel is 3.75 m/s
A puck moves 2.35 m/s in a
-22.0° direction. A hockey stick pushes it for 0.215 s, changing its velocity to 6.42 m/s in a 50.0° direction. What was the magnitude of the acceleration?
Answer:
28.4
Explanation:
for those on acellus
The acceleration of the puck is the rate of change in velocity of the puck. The acceleration is obtained as 9.06 m/s².
What is acceleration?Acceleration of an object is its rate of change in velocity. It is a vector quantity, thus, having both magnitude and direction.
The velocity components is given
2.35 m/s in direction of 22° and 6.42 m/s in a direction of 50°.
Thus, initial velocity u = 2.35 cos 22 = 2.17 m/s
final velocity V = 6.42 cos 50 = 4.12 m/s
Hence, the change in velocity = V - U
= 4.12 - 2.17 = 1.95 m/s.
The time change is given ΔT = 0.215 s.
ΔV = 1.95 m/s
Thus, acceleration = ΔV / ΔT
= 1.95 m/s / 0.215 s
= 9.06 m/s².
Therefore, the acceleration of the puck is 9.06 m/s².
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HELP If a skater has a mass of 55 kg and the maximum height the skater can reach is 10 m, then what will be the velocity of the skater if they skate down to a height of 5 m?
please if someone could explain this to me, that'd be appreciated :)
Hello, for this applicate formula:
Vf² = Vo² + 2gh
Data:
Vf = Final Velocity = ¿?
Vo = Initial veloctiy = 0 m/s
g = Gravity = 9,81 m/s²
h = Height = 5 m
Replacing according our data:
Vf² = 0 m/s² + 2(9,81 m/s²)(5 m)
Vf² = 98,1 m²/s²
Vf = √98,1 m²/s²
Vf = 9,9 m/s
The final velocity will be 9,9 meters per second.
The answer is 9.9 m/s
A car moves with a speed of 72 km/h for 15 minutes and then with a speed of 80 km/h for the next 12 minutes. The total distance covered by the car is:
Answer:
The total distance covered by the car is 3,810.08 m
Explanation:
Given;
initial speed of the car, u = 72 km/hr = 20 m/s
initial time, t₁ = 15 minutes = 900 s
final speed of the car, v = 80 km/hr = 22.22 m/s
final time, t₂ = 12 minutes = 720 s
The acceleration of the car is given as;
[tex]a = \frac{v-u}{t_2 -t_1} \\\\a = \frac{22.22-20}{900-720}\\\\a = 0.0123 \ m/s^2[/tex]
The total distance covered by the car is given as;
v² = u² + 2as
where;
s is the total distance covered by the car
22.22² = 20² + 2(0.0123)s
22.22² - 20² = 2(0.0123)s
93.728 = 0.0246s
s = 93.728 / 0.0246
s = 3,810.08 m
Therefore, the total distance covered by the car is 3,810.08 m
Answer:
34 km
Explanation:
Remark
You are dealing with distance not direction. So you just figure out the two parts separately and add.
15 minutes
t = 15 minutes * 1 hour / 60 minutes = 0.25 hours.
r = 72 km / hr
d = 72 km / hr * 0.25 hours
d = 18 km
12 minutes
t = 12 minutes * 1 hour/ 60 minutes = 0.2 hours
r = 80 km/hour
d = 80 * 0.2 = 16 km
Total distance
d = d1 + d2
d = 18 + 16 = 34 km
An object falls from a high building. Ignoring air resistance, what will its velocity be after 6 seconds of falling
Explanation:
Vf=Vi+at
reference frame,take down as positive in y- axis
Data
Vi=0m/s
Vf=?
a=g(9.8m/s2)
t=6s
Vf=0+9.8m/s2*6s
Vf=58.8m/s
The velocity of the object after falling for 6 s from a high building is 58.8 m/s
From the question given above, the following data were obtained:Initial velocity (u) = 0 m/s
Time (t) = 6 s
Acceleration due to gravity (g) = 9.8 m/s²
Final velocity (v) =?The velocity of the object after falling for 6 s can be obtained as follow:v = u + gtv = 0 + (9.8 × 6)
v = 0 + 58.8
v = 58.8 m/sTherefore, the velocity of the object after falling for 6 s is 58.8 m/s
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Okay I need help with this question.....-_-
When does an object have no kinetic energy
P.S I need the answer ASAP
Answer:
A
Explanation:
an object has no kinetic energy when its at rest
What is the resulting acceleration when a net force of 18 N is applied to a 3.0 kg mass?
The resulting acceleration is 6m/s^2 , when a net force of 18 N is applied to a 3.0 kg mass.
Fnet = 18N
m= 3kg
Fnet = ma
18 = 3a
6m/s^2 = a
What is acceleration ?"Acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities. The orientation of an object's acceleration is given by the orientation of the net force acting on that object."
What is force ?"A force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity."
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A student of 4 feet tall went for swimming in a pool. He saw the depth of water in the pole less than 4 feet .Will he sink , write with reason
Answer:
he will not be drowned
Explanation:
Question says , the height of the student = 4 feet,
Depth of the pool( in feet ) be x ( say ) which is less than 4 feet,
Clearly, the depth of the pool < height of the student,
This means, if the student goes for swimming in the pool, however he does not know swimming, he will not be drowned until he is suffering from an injury or external force.
The figure below shows a 2 kg box. A 10 N force pushes the box horizontally across a level flat surface. The frictional force that results from contact with the surface produces a 2 N force that opposes the direction of the box's movement. image What is the net force acting on the box?
A. 5 N, right
B. 8 N, right
C. 20 N, right
D. 12 N, right
Fricition opposes the pushing force, so the net force is
10 N - 2 N = 8 N
to the right.
give two differences between mass and weight
Answer: 1) Mass is a scalar quantity while weight is a vector quantity
2) Mass is measured in Gramma and kilogram while weight is measured in Newton.
Explanation:
Mass can be defined as the amount of matter that comprises an object. It is a scalar quantity, that is, it has magnitude. It is measured in kilogram with its unit in Kg. Mass is measured using an ordinary weighing scale.
Weight can be defined as the force acted upon an object due to gravity. Weight is a vector quantity, that is, it has both magnitude and direction towards the center of the earth. Weight can be measured with the use of a spring balance. Its unit is in Newton.
The amount of current flowing through a conducting material when 360C charge flows for 3min
Answer:
Amount of current (I) = 2 Amperes
Explanation:
Given:
Coulomb charge = 360 C
Time = 3 min = 3 x 60 sec = 180 sec
Find:
Amount of current
Computation:
Amount of current (I) = Coulomb charge / Time
Amount of current (I) = 360 / 180
Amount of current (I) = 2 Amperes
why does a fast working machine possess more power? Clarify your answer
Plz help by answering
Power can be defined as the rate at which energy is converted per unit time
and the formula is given below
Power = Force × Velocity
In a machine, there are series of energy conversion which takes place to
ensure work is done to achieve a goal. When the machine works fast, the
energy conversion increases with time.
The increase in energy conversion depicts that more work is done and the
machine has more power.
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a 100kg car travels at 2m/s. what is the momentum in kg
Answer:
200 kg.m/sExplanation:
The momentum of an object can be found by using the formula
momentum = mass × velocity
From the question we have
momentum = 100 × 2
We have the final answer as
200 kg.m/sHope this helps you
When a force of 2.4 newtons is applied to a spring, the extension is 0.4 m. What is the spring constant?
6 N/m
9.6 N/m
2 N/m
2.4 N/m
Answer:
6N/m
Explanation:
k = Fe
f = 2.4
e = 0.4
2.4 ÷ 0.4
= 6N/m
A helium-filled balloon in the room of a house suddenly bursts.
State and explain, in terms of atoms, what happens to the helium from the
balloon after the balloon has burst.
a car drives at a velocity of 12 [m/s] for 9 [s]. what distance does the car drive?
Answer:
The car drives 108 m
Which element would Element X most likely be grouped with on the periodic table?
Answer:
group 0
Explanation:
it might be xenon (Xe)
According to the electronic configuration, and assuming the element to be halogen it is most likely to be grouped with potassium as halogens are in need of one electron which is easily made available by potassium.
What is electronic configuration ?Electronic configuration is defined as the distribution of electrons which are present in an atom or molecule in atomic or molecular orbitals.It describes how each electron moves independently in an orbital.
Knowledge of electronic configuration is necessary for understanding the structure of periodic table.It helps in understanding the chemical properties of elements.
Elements undergo chemical reactions in order to achieve stability. Main group elements obey the octet rule in their electronic configuration while the transition elements follow the 18 electron rule. Noble elements have valence shell complete in ground state and hence are said to be stable.
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___ is the rate of change of velocity of an object? Formula: ___
Answer:
Acceleration is the rate of change of velocity of an object.
Formula: Had to take a picture of the formula
Answer:
Acceleration is the rate of change of velocity of an object.
Formula:
[tex]a=\frac{v-v_{0} }{t}[/tex]
The formula is basically the change in velocity over the time
a is the acceleration
v is the final velocity
v0 is the starting/initial velocity
t is the time elapsed
Hope this helps :)
Identify the physical property of a material that plays an important role in determining if the collision is elastic or not based on your air tracks simulation data.
Answer:
They are spherical and hollow (not compact or dense)
Explanation:
An elastic collision is a form of a collision where kinetic energy and momentum are conserved in the process. When there is zero loss of kinetic energy and momentum, it is called a perfectly elastic collision.
This form of collision is observed in atmospheric gases and colliding balls which happens to be spherical and hollow.
What is the impulse on a 45,000 kg airplane when it changes its velocity
from 242 m/s to 258 m/s?*
Answer:
=720000kgm/s
Explanation:
The impuse is equivalent to the rate of change of momentum which is expressed below as
Impulse= mv2 - mv1
=m(V2 - V1)
V1= initial velocity= 242 m/s
V2=final velocity= 258 m/s?
m= mass of the plane =45,000 kg
Then if we input the values, we have,
= 45000(258-242)
=720000kgm/s
Hence,the impulse on a 45,000 kg airplane is 720000kgm/s
how would our lives be different if we didnt have the technology based on the other parts of the EM Spectrum
Answer:
it would be horrible
Explanation:
yeah
6. Find the acceleration of a 25kg crate man pushing it with 45N force?
Answer:
1.8m/s2
Explanation:
force=mass x acceleration
so,
acceleration=force /mass
=45/25
=1.8
write a summary of Albert Einstein accomplishments
Answer:
He is also known for his discovery of the photoelectric effect, for which he won the Nobel Prize for Physics in 1921. Einstein developed a theory of special and general relativity, which helped to complicate and expand upon theories that had been put forth by Isaac Newton over 200 years prior.
answer :-He is also known for his discovery of the photoelectric effect, for which he won the Nobel Prize for Physics in 1921. Einstein developed a theory of special and general relativity, which helped to complicate and expand upon theories that had been put forth by Isaac Newton over 200 years prior.
Un vagón de 250 kg situado en la cima de una montaña rusa inicia su descenso por una rampa inclinado 60º sobre la horizontal. Si no tenemos en cuenta el rozamiento: a. Dibuja todas las fuerzas que actúan sobre el vagón. b. Calcula la fuerza y la aceleración con que desciende.
A thermogram taken outside a house shows high amounts of thermal energy around the windows but not around the roof.
Which conclusion supports the thermogram?
The windows and the roof are energy efficient.
The windows and the roof are not energy efficient.
The windows are not energy efficient, but the roof is energy efficient.
The windows are energy efficient, but the roof is not energy efficient.
The conclusion supports the thermogram will be that the windows are not energy efficient, but the roof is energy efficient.
What is Thermography ?Thermography is a noninvasive method that employs an infrared camera to generate pictures that depict patterns of heat and blood flow on or near the body's surface.
A thermogram taken outside a house shows high amounts of thermal energy around the windows but not around the roof.
The conclusion supports the thermogram will be that the windows are not energy efficient, but the roof is energy efficient.
Hence option c is correct.
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If you dont want to read all of that it is option C
What is the speed of sound in a medium with a wavelength of 340 m and a
frequency of 2.5 Hz?
Explanation:
Speed
= Wavelength * Frequency
= 340m * 2.5Hz
= 850m/s
If a moving body of mass 100g has kinetic energy 45 joules, what will be it's velocity?
Answer:
[tex]\boxed{\pink{\sf Velocity \ of \ the \ body \ is \ 30m/s .}}[/tex]
Explanation:
Given that a body is moving which has a mass of 100g. And its Kinetic energy is 45 Joules . We need to find its velocity . So ,
[tex]\boxed{\red{\bf Kinetic\: Energy =\dfrac{1}{2}mv^2 }}[/tex]
Now here mass is in grams. So converting it into SI units we have , 100/1000 kg = 0.1 kg
[tex]\implies KE =\dfrac{1}{2}mv^2 \\\\\implies 45 J = \dfrac{1}{2}\times \dfrac{1}{10} kg \times v^2 \\\\\implies v^2 = 45 \times 20 \\\\\implies v^2 = 900 m^2/s^2 \\\\\implies v =\sqrt{900 m^2/s^2} \\\\\underline{\boxed{\blue{\tt \implies Velocity = 30m/s }}}[/tex]
The frictional force exerted by the road on the body is
Answer:
Explanation:
Frictional force can be defined as the force that is generated by two surfaces which are in contact with each other and even goes ahead to slide against each other. It can also be simply defined as a force that oppose the sliding of one object over the other
There are different types of frictional forces such as dry friction, lubricated friction, internal friction, fluid friction etc. One of the factors that affects frictional forces is that the forces are majorly affected by the surface texture and amount of force that bounds them together.
What is the mechanical advantage of the lever shown below?
Answer:1.35
Explanation:
The mechanical advantage of the lever shown in the question is 1.27. Mechanical advantage is the force amplified by a mechanical tool. Thus, the correct option is B.
What is Mechanical advantage?Mechanical advantage is the measure of the force amplification which is achieved by using a tool such as, a mechanical device or machine system. The mechanical device trades off input forces against the movement to obtain a desired amplification in the output force of the system.
Mechanical advantage of the lever is simply the ratio of the effort arm to the load arm. Effort arm is the distance from the pivot to the point of application of the force while the load arm is the distance of the lord from the pivot point.
Therefore, the effort arm is 0.27m while the load arm is 0.2 m. Mechanical advantage is calculated through the formula:
MA=effort arm/load arm
MA = 0.27/0.2
MA = 1.35 which is close to 1.27
Therefore, the correct option is B.
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Your question is incomplete, most probably the complete question is:
What is the mechanical advantage of the level shown below?
A. 0.79
B. 1.27
C. 2.6
D. 3.67