If the pendulum is initially at rest and has a length of 60.0 cm. If 0 = 3.5 cm, then a) The maximum height that the pendulum reaches above its rest position is 0.329 m. b) The velocity of the system after the collision is 0.555 m/s and c) The mass of the ballistic pendulum arm is 1.08 g.
a) Using conservation of energy, we can find the maximum height that the pendulum reaches. The initial energy of the system is all kinetic energy, given by KE = (1/2)mv², where m is the mass of the ball and v is its initial velocity.
The final energy of the system is all potential energy, given by PE = mgh, where h is the maximum height that the pendulum reaches above its rest position. We can set these two expressions equal to each other and solve for h:
(1/2)mv² = mgh
h = (1/2) v²/g = (1/2) (305.5 cm/s)² / (980 cm/s²) = 0.329 m
b) Using conservation of momentum, we can find the velocity of the system after the collision. The initial momentum of the system is given by p = mv, where m is the mass of the ball and v is its initial velocity.
The final momentum of the system is given by p' = (m + M)V, where M is the mass of the pendulum arm, V is the velocity of the system after the collision, and we assume that the pendulum arm was initially at rest.
We can set these two expressions equal to each other and solve for V:
mv = (m + M)V
V = mv / (m + M) = (5.4×10⁻² g) (305.5 cm/s) / (1.08 g) = 0.555 m/s
c) Using the conservation of momentum equation above, we can solve for the mass of the pendulum arm:
M = mv / V - m
= (5.4×10⁻² g) (305.5 cm/s) / (0.555 m/s) - 5.4×10⁻² g
= 1.08 g.
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Of the following which might NOT be zero over one cycle of a cyclic process? the work done by the substance the change in the volume of the substance O the change in the temperature of the substance the change in the internal energy of the substance the change in pressure of the substance
Of the given options, it is unlikely that the change in temperature of the substance would be zero over one cycle of a cyclic process. This is because in a cyclic process, the substance undergoes a series of transformations that cause changes in the internal energy, pressure, volume, and other properties.
These changes are typically accompanied by changes in temperature as the substance absorbs or releases heat. For example, in a Carnot cycle, the substance undergoes isothermal expansion and compression, during which its temperature remains constant, but then undergoes adiabatic expansion and compression, during which its temperature changes.
In contrast, the work done by the substance, the change in volume of the substance, the change in the internal energy of the substance, and the change in pressure of the substance can all be zero over one cycle of a cyclic process, depending on the specific nature of the process.
For example, if a gas undergoes a reversible isothermal expansion and compression, the work done by the gas would be zero over one cycle, since the net work done on the gas is zero. Similarly, if a gas undergoes a reversible adiabatic expansion and compression, the change in internal energy of the gas would be zero over one cycle, since the net heat added to or removed from the gas is zero.
Thus, the specific conditions of the cyclic process would determine which properties are likely to be zero over one cycle.
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If a current of 16A flows through a wire with a resistance of 0.6 Ohms, calculate the voltage.
If a current of 16A flows through a wire with a resistance of 0.6 Ohms, the voltage is: 9.6V.
How to find the voltage?Using this formula to determine the voltage
V = I × R
Where:
V = voltage = ?
I = current = 16A
R = resistance = 0.6 Ohms
Let plug in the formula
V = 16A × 0.6 Ohms
V = 9.6V
Therefore the voltage is 9.6V
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Which of the following has the longest wave length and the lowest frequency
A.infrared waves
B.radio waves
C.x-ray waves
D.microwaves
Answer:
B. radio waves
Explanation:
Trust me It's correct
Scientific investigations may also involve the use of ______ which are an experiment
Scientific investigations may also involve the use of experiments.
Experiments are a crucial part of scientific investigations as they allow researchers to test hypotheses and gather data to support or refute their claims. By systematically manipulating variables and observing the outcomes, experiments help scientists establish cause-and-effect relationships and draw meaningful conclusions. Experiments often involve controlled conditions, where one variable is intentionally changed while keeping all other factors constant.
This allows scientists to isolate the effect of the manipulated variable on the outcome being measured. Through experiments, scientists can gain insights into natural phenomena, make predictions, and refine existing theories. Overall, experiments are a powerful tool in the scientific method, providing a structured approach to testing ideas and advancing our understanding of the world around us.
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Why does the skateboarder continue to move forward when he hits the
trash? What is the external force?
Answer:
According to Newton's first law: An object at rest will remain at rest unless acted on by an unbalanced force. An object in motion continues in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
There is a force that moves the skater and his skate forward, after the hit, his speed is reduced, but this force is not completely counteracted, and that's why he continues moving forward.
A coil of wire consists of 20 turns each of which has an area of 0.0015 m2. A magnetic field is perpendicular to the surface. Initially, the magnitude of the magnetic field is 0.050 T and 0.10s later, it has increased to 0.060 T. Find the average emf induced in the coil during this time.
The average emf induced in the coil during the time interval is 0.0025 V.
What is the average emf induced in the coil?The average emf induced in a coil can be calculated by dividing the change in magnetic flux through the coil by the change in time. In this case, the coil consists of 20 turns, each with an area of 0.0015 m^2.
The magnetic field is perpendicular to the surface of the coil. Initially, the magnitude of the magnetic field is 0.050 T, and 0.10 s later, it increases to 0.060 T.
To calculate the average emf, we need to determine the change in magnetic flux.
The magnetic flux through the coil is given by the formula:
\(magnetic\ flux = magnetic\ field * area * number\ of\ turns\)
Therefore,
the change in magnetic flux is (0.060 T - 0.050 T) × 0.0015 m^2 × 20 = 0.002 T·m^2.
Next, we divide the change in magnetic flux by the change in time to find the average emf:
\(average\ emf = change\ in\ magnetic\ flux\ / change\ in\ time\)
Substituting the values, we have:
\(average\ emf = 0.002 T.m^\2 / 0.10 s \\=0.0025 V\)
Therefore, the average emf induced in the coil during the time interval is 0.0025 V.
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The energy transferred to the water was 1050 J.
The time taken for the water temperature to increase by 0.6 °C was 5 minutes.
The specific heat capacity of water is 4200 J / kg °C.
Write down the equation which links energy transferred, power and time.
The energy transferred to the system is equal to the work done. For the endothermic process work done is negative. The power of the system is the product of work and time. Hence, the power is 315000 watt.
What is endothermicity?Endothermic reactions are those which absorbs energy into the system. Thus the surrounding temperature gets decreased.
The calorimetric equation connecting the heat transferred q, with the specific heat, mass and temperature difference is written as:
q = m c ΔT
Here, the heat energy transferred is equal to the work done on the system. Hence W = - 1050 J
Power of the system is the product of work done and time taken for the energy transfer.
Power = W.dt
w = - 1050 J
t = 5 min = 300 s
Then P = 1050 J × 300 = 315000 watt.
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A bumper car with a mass of 86 kg is traveling at 3.6
m/s. A bumper car with a mass of 98 kg is traveling at
1.6 m/s in the opposite direction. After the collision, the
86 kg bumper car travels at -0.5 m/s. What is the speed
of the 98 kg bumper car after the collision?
Answer:
2.0 m/s
Explanation:
i found it on quizlet
A biker with a mass of 75.0 kg moves along the path with a constant velocity of 5.00m/s. What is the bikers momentum?
Given the mass of the biker is m = 75.0 kg.
The constant velocity is v = 5.00 m/s.
The momentum of the biker is calculated by the formula.
\(p=mv\)Put the given values,
\(\begin{gathered} p=(75.0kg)\times(5.00\text{ m/s)} \\ p=375kg\text{ m/s} \end{gathered}\)Thus, the biker's momentum is p = 375 kg m/s.
The ability of a material to be drawn into a thin wire is called ___________________________.
YALL PLEASE HELP
Answer:
Explanation:
The ability of a material to be drawn into a thin wire is called ductility
A roller coaster is moving at 30 m/s at the bottom of a hill. Five seconds later it reaches the top of the hill moving at 10 m/s. What was the acceleration of the coaster
Answer:
Ok
Explanation:
Acceleration = final velocity - initial velocity
-----------------------------------
time taken
Initial velocity = 10m/s
Finaly velocity = 30m/s
time taken = 5 secs
Acceleration = 10-30/5
= -20/5
= -4 m/s^2
3. Some surfboards weigh more than others. How does a board’s weight affect the amount of force needed to get it moving?
The weight of the board influences the amount of effort required to move it because if it were too heavy, it would just sink, and if it were too light, it would simply float away.
The gravitational pull of a second, significantly bigger object, like the Earth or Moon, on a first object is known as weight. According to the universal law of gravity, any two objects will gravitate toward one another due to their masses with a force that is inversely proportional to the square of the distance between them and precisely proportional to the product of their masses. The source of weight is this law. Because of this, larger objects naturally weigh more when placed in the same location. However, the further an object is from the Earth, the less weight it has. An object's weight at the South Pole is somewhat higher than its weight at the North Pole because the Earth's polar radius is slightly less than its equatorial radius.
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it is the environment where communication takes place
a 3.0 kg block slides along a frictionless horizontal surface with a soeed of 7 m/s. after sliding a distance of 2 m the block makes a smooth transition to a frictionless ramp inclined at an angle of 40 to the horizontal :
a- what distance along the ramp does the block slide before coming momentarily to rest ?
The block will slide approximately 3.18 meters along the ramp before coming momentarily to rest.
To find the distance along the ramp where the block comes momentarily to rest, we need to analyze the forces acting on the block.
Initially, when the block is sliding along the horizontal surface, there is no friction force acting on it. Therefore, the only force acting on the block is its weight, which can be split into two components: one parallel to the surface and one perpendicular to the surface.
The component of the weight parallel to the surface is given by:
F_parallel = m * g * sin(θ)
where m is the mass of the block (3.0 kg), g is the acceleration due to gravity (approximately 9.8 m/s^2), and θ is the angle of the ramp (40°).
F_parallel = 3.0 kg * 9.8 m/s^2 * sin(40°) ≈ 18.747 N
Since the surface is friction less, this force will not cause any change in the block's speed. Therefore, the block will continue to move with a constant speed of 7 m/s along the ramp until it comes to rest.
To determine the distance along the ramp where the block comes to rest, we can use the equation:
v^2 = u^2 + 2 * a * s
where v is the final velocity (0 m/s since it comes to rest), u is the initial velocity (7 m/s), a is the acceleration along the ramp, and s is the distance traveled along the ramp.
Rearranging the equation, we have:
2 * a * s = u^2
Since the block comes to rest, the final velocity is 0, so the equation becomes:
2 * a * s = 7^2
2 * a * s = 49
a * s = 24.5
Now, we need to find the acceleration (a) along the ramp. The component of the weight perpendicular to the ramp is responsible for the acceleration:
F_perpendicular = m * g * cos(θ)
F_perpendicular = 3.0 kg * 9.8 m/s^2 * cos(40°) ≈ 23.084 N
This force acts perpendicular to the ramp and provides the normal force to balance the weight of the block. Therefore, it is the force responsible for the acceleration along the ramp.
Using Newton's second law (F = m * a), we can determine the acceleration along the ramp:
23.084 N = 3.0 kg * a
a ≈ 7.695 m/s^2
Now, substituting the value of a into the equation a * s = 24.5, we can solve for s:
7.695 m/s^2 * s = 24.5
s ≈ 3.18 m
Therefore, the block will slide approximately 3.18 meters along the ramp before coming momentarily to rest.
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Two helium isotopes fuse to form beryllium, as shown below. The mass of beryllium is 2.73 x 107 kg less than the combined mass of the two helium atoms. How much energy was produced during this reaction? The speed of light is 3 x 108 m/s. Show your work. Use E = mc².
3/2He+ 4/2He → 7/4Be
A chemical element with the symbol Be and atomic number 4 is known as beryllium. Beryllium is a solid at room temperature and is categorized as an alkaline earth metal. The molar mass of beryllium (atomic number 4) is 9.012 g/mol. Accordingly, if all 6.22x1023 Beryllium atoms were put together in a mole, they would weigh 9.012g on a triple beam balance.
Explain about the mass of beryllium?
The atomic mass unit serves as the unit of measurement for mass (amu). A mass unit of an atom is 1.66 x 10-24 gram. The mass of one nucleon, which can be either a single proton or neutron, is roughly equal to one unified atomic mass unit, which is numerically equivalent to 1 g/mol.
In the aircraft industry in particular, beryllium is employed in gears and cogs. A silvery-white metal is beryllium. It has a low density and is relatively soft. Gyroscopes, springs, electrical contacts, spot-welding electrodes, and non-sparking tools all use beryllium in alloys with copper or nickel.
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A 5.0 kilogram block accerlerating at 6.p meters per second along a rough horizontal force,f, of 50. newtons. What js the magnitude in newtons if the force of friction
9. Thermal energy (heat) is defined as
A. the sum of all the kinetic energies of all the particles in an object
B. the average of all the kinetic energies of all the particles in an object
C. the sum of all the numbers of particles in an object
D. the average number of particles in an object
Answer:
The correct answer is A. Thermal energy (heat) is defined as the sum of all the kinetic energies of all the particles in an object.
The Brazilian rain forest is an area with significant biodiversity.
As the rain forest is replaced with agricultural land, it is
reasonable to predict a reduction in -
consumption of solar energy.
sustainability over time.
precipitation levels.
average daily temperature.
Answer:
sustainability over time.
Explanation:
The largest Brazilian rainforest is the Amazon rainforest, which is the largest rainforest in the world and occupies 42% of the Brazilian territory. The forest is composed of a rich environmental diversity, constituted by many species of fauna and flora and diverse river resources.
However, there is a growing transformation in the Amazon rainforest caused by organizational exploitation that uses its resources to transform the forest area into agricultural land and pastures for livestock. This problem will cause a reduction in sustainability over time, which will cause serious negative effects on the environment, such as a reduction in biodiversity and an increase in the emission of gases responsible for the greenhouse effect on the planet.
Answer:
Bb
Explanation:
The________ is a membrane that surrounds a cell Nucleus
Answer:
nuclear envelope
Explanation:
it surrounds the nucleus and all of its contents
An object was dropped from a height of 20 m from the ground. Use energy terms to find the objects speed when it is 5m from the ground
(17m/s) is the answer
We can use the law of conservation of energy to solve this problem. At the beginning, the object only has potential energy (PE) due to its position above the ground. As it falls, some of this potential energy is converted into kinetic energy (KE) due to its motion. At any point during the fall, the total energy (PE + KE) remains constant.
At the beginning, when it is dropped from a height of 20m, the object has only potential energy given by:
PE = mgh, where m is the mass of the object, g is the acceleration due to gravity (9.8 m/s2), and h is the height above ground. Assuming m = 1 kg, we have:
PE = 1 x 9.8 x 20 = 196 J
When the object is at a height of 5m above the ground, it has lost some of its potential energy and gained some kinetic energy. At this point, let's assume it has a speed of v meters per second. Its potential energy is now:
PE = mgh = 1 x 9.8 x 5 = 49 J
Its kinetic energy is:
KE = 0.5mv2
The total energy is:
PE + KE = 196 J (from the beginning) = 49 J + 0.5mv2 (at a height of 5m)
Solving for v, we get:
v = sqrt((196 - 49)/0.5m) = sqrt(294/m) = sqrt(294/1) = 17 m/s
Therefore, the object's speed when it is 5m from the ground is approximately 17m/s.
This is a physics problem that can be solved using the work-energy theorem, which states that the net work done on an object equals the change in its kinetic energy. Kinetic energy is the energy an object has because of its motion and it depends on its mass and speed.
Let's assume that the object has a mass of m and it falls freely under the influence of gravity. The initial height of the object is 20 m and the final height is 5 m. The initial speed of the object is zero and the final speed is v. The work done by gravity on the object is equal to the change in its gravitational potential energy, which is mgh, where g is the acceleration due to gravity and h is the height. The work done by air resistance is assumed to be negligible.
Using the work-energy theorem, we can write:
W_{net} = \Delta K
mgh_{i} - mgh_{f} = \frac{1}{2}mv^{2} - \frac{1}{2}m(0)^{2}
mg(20) - mg(5) = \frac{1}{2}mv^{2}
15mg = \frac{1}{2}mv^{2}
v^{2} = 30g
v = \sqrt{30g}
Therefore, the speed of the object when it is 5 m from the ground is approximately 24.25 m/s (assuming g = 9.8 m/s^{2}).
What fonts do you use to create color coded lyrics
Homework Problem Set 06 Student Name 70. A 60-kg soccer player jumps vertically upwards and heads the 0.45-kg ball as it is descending vertically with a speed of 25 m/s. If the player was moving upward with a speed of 4.0 m/s just before impact, what will be the speed of the ball immediately after the collision if the ball rebounds vertically upwards and the collision is elastic? If the ball is in contact with the player's head for 20 ms, what is the av- erage acceleration of the ball? (Note that the force of grav- ity may be ignored during the brief collision time.)
When the soccer player heads the ball, the initial momentum of the ball (which is moving downwards) is given by m₁u₁, where m₁ is the mass of the ball, and u₁ is the velocity of the ball before collision.
The player's momentum is given by m₂u₂,
where m₂ is the mass of the soccer player, and u₂ is the velocity of the soccer player before the collision.
In this case, m₁ = 0.45 kg, u₁ = -25 m/s, m₂ = 60 kg, u₂ = 4 m/s.
Immediately after the collision, the ball rebounds vertically upwards, so its velocity is v₁ = - u₁.
The soccer player will be moving upwards with a velocity of u₂' = u₂ - v₂,
where v₂ is the velocity of the soccer player just after the collision. H
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂.
Substituting the values of the masses and velocities, we get 0.45 × (-25) + 60 × 4 = 0.45 × (-(-25)) + 60 × v₂
⇒ -11.25 + 240 = 11.25 + 60v₂
⇒ v₂ = (240 + 11.25)/60 m/s
= 4.02 m/s(approx).
The contact time between the ball and the soccer player is 20 ms, or 0.02 s.
The average acceleration of the ball is given by a = Δv/Δt,
where Δv is the change in the velocity of the ball, and Δt is the time taken for the change.
Since the ball is initially moving downwards and then rebounds upwards, the change in velocity is twice the initial velocity, i.e., 2u₁.
a = (2u₁)/Δt = (2 × 25)/0.02 m/s² = 2500 m/s².
the average acceleration of the ball is 2500 m/s².
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Two new materials have been discovered. One is shiny
and has a metallic look, while the other is dull and
has a non-metallic look. Although you think that one
is a conductor and the other an insulator, you want
to be certain. Describe a test you could do to test the
conductivity of these two materials.
Answer:
placing an object between two free ends of a wire in a circuit. the circuit must have a bulb, wires, crocodile clips and a switch (optional) .
Explanation:
get a material between the clips . if the bulb lights up, the object is a conductor and is it doesn't its an insulator.
A circuit has a power factor of 0.8 lagging. The circuit dissipates 100 W of power with an input voltage of 500 V. What is the impedance of the circuit expressed in rectangular form? A. 1600 -1200 B. 1200 -/1600 C. 1600 +/ 1200 D. 1200 +1600
The impedance of the circuit expressed in rectangular form is 1250Ω, which simplifies to 1250 Ω. Therefore, the answer is not given in the options provided.
The power factor of a circuit is the cosine of the phase angle between the voltage and current in the circuit. A power factor of 0.8 lagging means that the phase angle between the voltage and current is 36.87 degrees lagging.
The power dissipated by the circuit is given by:
P = VI cos(θ)
where P is the power, V is the voltage, I is the current, and θ is the phase angle between the voltage and current.
Substituting the given values, we get:
100 W = (500 V)I cos(36.87°)
Solving for the current, we get:
I = 0.4 A
The impedance of the circuit is given by:
Z = V/I
Substituting the given values, we get:
Z = 500 V / 0.4 A
Z = 1250 Ω
To express the impedance in rectangular form, we can use the following formula:
Z = R + jX
where R is the resistance and X is the reactance. In this case, since the circuit is purely resistive (i.e., there is no inductance or capacitance), the reactance is zero, and the impedance is purely resistive.
Therefore, the impedance of the circuit expressed in rectangular form is:
Z = 1250 + j0
Simplifying this expression, we get:
Z = 1250 Ω
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If a star is found by spectroscopic observations to be about 500 parsecs distant, its parallax is: A) .2". B) .5". C) .02". D) .002". E) .005"
The main answer to the question is C) .02".
The explanation for this is that parallax is the apparent shift in position of a star when observed from different points in space.
The closer the star is to Earth, the greater the parallax.
A parsec is defined as the distance at which the angle of parallax is one arcsecond (1/3600th of a degree).
Therefore, a star that is 500 parsecs away would have a parallax angle of 1/500 arcseconds, which is equal to 0.002".
To convert this angle to seconds of arc, we need to multiply by 60, which gives us 0.12".
Therefore, the reciprocal of this angle is approximately 50, which means that the parallax angle is 1/50 arcseconds, or 0.02". In summary, the correct answer is C) .02".
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Your personal hygiene is more important to avoid you becoming ill, more so than spreading germs.
True
False
Write one claim about this graph
Short answer
A gun can fire a bullet at 540 m/s. If the gun is aimed at an angle of 55o above the horizontal and fired, what will be the horizontal and vertical components of the gun's velocity?
Answer:
Explanation:
The initial vertical velocity is 540sin55° = 442.342103... 442 m/s
The initial horizontal velocity is 540cos55° = 309.731275... 310 m/s
In the real world, both initial velocities would be reduced by air resistance and vertical velocity will be altered by gravity.
Approximately how long does it take the uterus lining to build up again after menstruation
The uterus lining is rebuilt by the end of the menstrual period. The rebuilding of the uterus lining starts after menstruation and the lining is typically completely rebuilt by day 14 of the menstrual cycle, which is when ovulation occurs and the uterus is preparing to potentially receive a fertilized egg.
The endometrium is the inner lining of the uterus, and it thickens every month to prepare for pregnancy. After menstruation, the endometrium grows and thickens to prepare for the implantation of a fertilized egg. The cells in the lining multiply and enlarge, and the glands in the lining begin to secrete mucus and other substances that help support the fertilized egg and promote its growth.
The rebuilding of the endometrium usually takes about two weeks after menstruation. This process is closely regulated by hormones such as estrogen and progesterone, which are produced by the ovaries and other parts of the body. These hormones help control the growth and development of the endometrium and other reproductive tissues.
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Question #2 What happens to some metals when the kinetic energy of their particles is decreased? A. they melt? B. they conduct? C. they expand it? D. they contract ? I NEED HELP FAST PLS
Some metals when the kinetic energy of their particles is decreased.
Hence, the correct option is D.
When the kinetic energy of the particles in a metal is decreased, it means that the particles are moving slower and have less energy. This can have a number of effects on the metal, depending on the specific properties of the metal.
A) Melting occurs when a solid substance is heated to a temperature where it becomes a liquid. A decrease in kinetic energy of particles is unlikely to cause melting of a metal.
B) Metals are good conductors of electricity due to the mobility of their electrons. A decrease in kinetic energy may not affect the metal's ability to conduct electricity, unless it affects the number of free electrons in the metal.
C) Most metals expand when they are heated and contract when they are cooled. However, a decrease in kinetic energy of particles in a metal may not cause it to expand.
D) Most metals contract when they are cooled.
Therefore, a decrease in kinetic energy of particles in a metal could lead to contraction of the metal.
Hence, the correct option is D.
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