(a) The moment of inertia of the sign for rotation about the side of length h is 1.24 kgm².
(b) The kinetic energy of the sign when it is rotating about an axis is 141.37 J.
Moment of inertia of the triangular sign
The moment of inertia of the sign for rotation about the side of length h is calculated as follows;
I = 2 x ¹/₃M(b/2)²
I = 2 x ¹/₃Mb² x ¹/₄
I = ¹/₆Mb²
I = ¹/₆ x 4.4 x 1.3²
I = 1.24 kgm²
Rotational kinetic energy of the ballK.E(rot) = ¹/₂Iω²
where;
ω is angular speed = 2.4 rev/s = 2.4 x (2π rad)/s = 15.1 rad/sK.E(rot) = ¹/₂(1.24)(15.1)²
K.E(rot) = 141.37 J
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please help Which graph shows the change in velocity of an object in free fall?
The graph that shows the change in velocity of an object in free fall is graph B.
What is velocity?Velocity is the speed of a body in a specified direction.
It is also defined as the ratio of displacement and tome.
Velocity is a vector quantity.
The change in velocity of a body is known as acceleration.
The velocity of a body undergoing free fall increases by a constant value given as by the acceleration due to gravity.
The graph which depicts this change in velocity is B.
Therefore, the graph that shows the change in velocity of an object in free fall is graph B.
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Suppose x and y are distances of object and image respectively from a mirror. What shall be be the shape of the graph between 1/x and 1/y for a concave mirror ?
Answer:
The shape of the graph would be a circle
Explanation:
Because the mirror is concave , which it's inner part will be curved.
You apply a horizontal force of 25N to push a shopping cart across the parking lot at a constant velocity. a) what is the net force on the shopping cart ? b) What is the force of friction on the shopping cart ? c) What will happen to the shopping cart if you come across a wet portion of the parking lot and you continue to apply the same force ?
(a) The net force on the shopping cart is zero.
(b) The the force of friction on the shopping cart is 25 N.
(c) When same force is applied to the shopping cart on a wet surface, it will move faster.
Net force on the shopping cartThe net force on the shopping cart is calculated as follows;
F(net) = F - Ff
where;
F is the applied forceFf is the frictional forcema = F - Ff
where;
a is acceleration of the cartm is mass of the cartat a constant velocity, a = 0
0 = F - Ff
F(net) = 0
F = Ff = 25 N
Net force is zero, and frictional force is equal to applied force.
On wet surfaceCoefficient of kinetic friction of solid surface is greater than that of wet surface.
Since frictional force limit motion, when the frictional force is smaller, the object tends to move faster.
Thus, the cart will move faster on a wet surface due to decrease in friction.
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Calculate the work done by a bulldozer of power 5000W in 15 seconds
[tex]\text{Work done,}~W = Pt \\\\~~~~~~~~~~~~~~~~~~~~=5000~W \times 15 ~s\\\\~~~~~~~~~~~~~~~~~~~~=75000~ J[/tex]
Answer:
75kJ
Explanation:
Formula :
Work done = Power × Time
===========================================================
Given :
⇒ Power = 5000 W = 5kW
⇒ Time = 15 seconds
=============================================================
Solving :
⇒ Work done = 5kW × 15s
⇒ Work done = 75kJ
A loaded freight car a with a mass of 24,000 kg moves at a constant velocity of 8 m/s on a horizontal railroad track and collides inelastically with an empty stationary car b with a mass of 8,000 kg. after the collision the cars stick to each other and moves like one object. what is the velocity of two cars after the collision?
The velocity of two cars after the collision will be 6 m/sec.The momentum of the body is given by the product of the mass and velocity of the body.
What is the law of conservation of momentum?According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.
According to the law of conservation of momentum
Momentum before collision =Momentum after collision
[tex]\rm m_1v_1+m_2v_2=(m_1+m_2)V \\\\\ 24000 \ kg \times 8 m/sec+8000 \ kg \times 0 m/sec=(24000+8000)V\\\\ V= 6 m/sec[/tex]
Hence, the velocity of two cars after the collision will be 6 m/sec.
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Question 9 of 25
Which term describes something that changes during an experiment?
OA Variable
OB. Vector
OC. Data
OD. Hypothesis
Answer:
C
Explanation:
A TXV with a ______ charge bulb, sometimes referred to as a critical charge bulb, is often called a maximum operating pressure (MOP) valve.
A TXV with a vapor charge bulb, sometimes referred to as a critical charge bulb, is often called a maximum operating pressure (MOP) valve.
What is vapor charge bulb?Vapor charge bulb is a charge in a thermostatic expansion valve bulb that boils to a complete vapor. When this point is attained, an increase in temperature will not have any effect on pressure.
The complete evaporation of liquid take place. So, it is also called the critical charge bulb.
Thus, A TXV with a vapor charge bulb, sometimes referred to as a critical charge bulb, is often called a maximum operating pressure (MOP) valve.
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An Olympic sprinter completes the 100 m race in a time of 10 s. Calculate the average speed of the sprinter.
Taking into account the definition of speed, the average speed of the Olympic sprinter is 10 [tex]\frac{m}{s}[/tex].
What is speedSpeed is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it.
In other words, speed can be defined as the amount of space traveled per unit of time with which a body moves and can be calculated using the expression:
[tex]speed=\frac{distancetraveled}{time}[/tex]
Average speed of the sprinterIn this case, you know:
distance traveled= 100 meterstime= 10 secondsReplacing these values in the speed definition:
[tex]speed=\frac{100 m}{10 s}[/tex]
Solving:
speed= 10 [tex]\frac{m}{s}[/tex]
In summary, the average speed of the Olympic sprinter is 10 [tex]\frac{m}{s}[/tex].
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The unit of length most suitable for measuring the thickness of a cell phone is a . The unit of length most suitable for measuring the height of a backyard tree is a?
The answers include the following:
The unit of length most suitable for measuring the thickness of a cell phone is a meter.The unit of length most suitable for measuring the height of a backyard tree is a meter.What is Meter?This is defined as the standard unit for measuring the length of a body and is denoted as m.
Height is a vertical type of length which is why meter was chosen as the most appropriate choice.
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What is conflict resolution?
A.) committing to fair play
B.) settling a dispute or disagreement
C.) working toward a common goal
D.)trying your best to win
Answer:
B) Settling a dispute or disagreement
Explanation:
A conflict is a disagreement or argument between opposing parties.
A resolution is a solution to a problem.
Knowing both these definitions, the answer choice that makes the most sense would be B) Settling a dispute or disagreement.
Hope this helps!!
You want to go jogging at a nearby park. your mother says a thunderstorm is five miles away. the safest thing to do in this situation is to
bring your cell phone for emergencies
find an indoor place to exercise
go jogging quickly before the storm comes
wear a poncho while jogging
Answer:
"find an indoor place to exercise"
I think that golf courses call in the golfers if there is a lightning strike within 5 miles of the golf course sensor.
How will the force of friction affect a wood block being pushed over a table?
A. Friction acts in the direction of motion, speeding the block up.
B. Friction acts in the direction of motion and is included in the moving force.
C. Friction acts in the opposite direction of motion but does not affect the motion of the object.
D.Friction acts in the opposite direction of motion, slowing the block down.
Answer:
D
friction acts in the opposite direction of motion but does not affect the motion of the object
Answer:D.Friction acts in the opposite direction of motion, slowing the block down.
Explanation:
Engineers are trying to improve a race car. Their goal is to increase the acceleration of the car using the same engine. Which change shows the best application of Newton’s laws of motion to achieve this goal?
increasing the inertia of the car
decreasing the reaction force
increasing the action force
decreasing the mass of the car
To increase the acceleration of the car using the same engine, the mass of the car must be decreased.
What is Newton's first law of motion
Newton's first law of motion states that an object at rest or uniform motion in a straight line will continue in that path unless acted upon by an external force.
The first law is also called the law of inertia because it depends on the mass of the object. The greater the mass, the greater the inertia and more reluctant the object will be to move.
Thus, to increase the acceleration of the car using the same engine, the mass of the car must be decreased.
a = F/m
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In y = mx + b, the y-intercept is given by the value of m.
Answer:
False
Explanation:
In the linear equation y = mx + b, b is the y-intercept and mx is the slope.
A weather balloon is partially inflated with helium gas to a volume of 2.0 m³. The pressure was measured at 101 kPa and the temperature at 27 °C. What will be the new volume if the balloon is when it moves upwards to where the atmospheric pressure is 40 kPa and the temperature is at 10 °C?
Answer:
4.7 m³
Explanation:
We'll use the gas law P1 • V1 / T1 = P2 • V2 / T2
* Givens :
P1 = 101 kPa , V1 = 2 m³ , T1 = 300.15 K , P2 = 40 kPa , T2 = 283.15 K
( We must always convert the temperature unit to Kelvin "K")
* What we want to find :
V2 = ?
* Solution :
101 × 2 / 300.15 = 40 × V2 / 283.15
V2 × 40 / 283.15 ≈ 0.67
V2 = 0.67 × 283.15 / 40
V2 ≈ 4.7 m³
How long does 100m long train take a cross a bridge of length 4.9 km at a speed of 50m/s
Answer:
it would take 100s for the train to crossthe bridge
When an atom changes by alpha decay, its atomic number
When an atom changes by alpha decay, its atomic number decreases because of the losing of proton and neutron.
What changes occur when alpha decay occur?An alpha particles is a helium nucleus that contains 2 protons and 2 neutrons. When the alpha decay occur, the atom loses an alpha particle which causes the loss of proton and neutron thus decreases the mass number as well as atomic number occur.
So we can conclude that When an atom changes by alpha decay, its atomic number decreases because of the losing of proton and neutron.
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The source of all magnetic fields is:
- moving charges
- the earth's gravity
- the aurora borealis
- solar fields
Answer:
Moving charges
Explanation:
The source of all magnetic fields is moving electric charge: whether it is current in a wire, unpaired electrons in an atomic orbital, convection currents in the earth's liquid nickle /iron core, plasma in the sun, etc. moving electric charge is the source of all magnetic fields.
Explain any two factors that affect the pressure at a point inside a liquid
Answer:
The depth of that point from the surface. The density of the liquid. Acceleration due to gravity.Mark as brainlest answer ¯\_(☯-☯)_/¯1. can a species' niche be influenced by interspecific competition?
No, a species niche cannot be influenced by interspecific competition. Details about niche can be found below.
What is a niche?The niche of an organism in an ecosystem refers to the function within an ecological system to which an organism is especially suited.
Interspecific competition is the competition for resources between species of different organisms.
Niche of an organism is specific to that organism and this enables it avoid competition for resources in the environment.
This suggests that a species niche cannot be influenced by interspecific competition.
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A crane does exactly 1800 J of work to lift a steel beam from the ground. The beam is accidentally dropped and falls back to its starting position in 0.9 s. What is the mass of the beam
Answer:
Explanation:
1800x0.9=1620kg
What was the acceleration of the cart with the low fan speed
The acceleration of the cart is low with the low fan speed because acceleration depends on speed.
What was the acceleration of the cart with the low fan speed?The acceleration of the cart with the low fan speed is also lower because acceleration depends on the velocity or speed of an object. If speed is lower, the body moves very slow and the acceleration is also low and vice versa.
So we can conclude that the acceleration of the cart is low with the low fan speed because acceleration depends on speed.
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Which best explains how the diffraction pattern observed in young’s experiment supports the wave theory of light?.
Answer: the airy pattern can only arise from wave propagation
Explanation:if particles went in straight lines through a slit, they would progate linearly and not interfere. The airy pattern arises from diffraction as waves interfere, producing peaks (constructive interference where peaks of waves from each slit coincide) and troughs (destructive interference where peaks and troughs of waves from each slit cancel out). If intensity rather than field is measured nodes occur where 0 values line up instead of troughs
Two identically-sized metal spheres on insulating
stands are positioned as shown below. The
charge on sphere A is −4.0 × 10−6 coulomb and
the charge on sphere B is −8.0 × 10−6 coulomb.
The two spheres are touched together and then
separated. The total number of excess electrons
on sphere A after the separation is
Answer:
-6 x 10^-6 C
Explanation:
The two spheres will equilibrate to the same charge on each
-6 x 10^-6 C
The two spheres are touched together and then separated. The total number of excess electrons on sphere A is 3.75×10¹³ electrons after the separation.
What is electric charge ?Electric charge is the physical property of matter that experiences force when it is placed in electric field. F = qE where q is amount of charge, E = electric field and F = is force experienced by the charge. there are two types of charges, positive charge and negative charge which are generally carried by proton and electron resp. like charges repel each other and unlike charges attract each other. the flow charges is called as current. Elementary charge is amount of charge a electron is having, whose value is 1.602 x 10⁻¹⁹ C.
When the spheres touch together, they obtain equal charges. Since the spheres are same in dimension, they obtain equal charges.
Given,
q₁ = −4.0 × 10⁻⁶ C
q₂ = −8.0 × 10⁻⁶ C
q₁ + q₂ = −4.0 × 10⁻⁶ C + −8.0 × 10⁻⁶ C = -12.0 × 10⁻⁶ C
When two charged spheres touch together, they will have equal amount of charge. Means there attain equilibrium of charge.
Hence each charged sphere will have -6.0 × 10⁻⁶ C of charge.
The number of excess electrons on both the spheres will be,
(6.0 × 10⁻⁶ C) ÷ (1.6 × 10⁻¹⁹C) = 3.75 × 10¹³
The number 1.6 × 10⁻¹⁹C is called as Elementary charge.
Hence the number of excess electrons on Sphere A is 3.75 × 10¹³.
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The electromagnet in a motor must rotate consistantly in just one direction to transfor. ectrical energy into mechanical energy. What causes this rotation?
The rotation of the electric motor in one direction is because the commutator frequently reverses the direction of the current in the loop of wire.
What is an electromagnet?An electromagnet is a device which works on the principle of electromagnetism.
Electromagnetism is the force produced due to an interaction of the electric and magnetic fields.
An example of an electromagnet is the electric motor.
In an electromagnet, the rotation of the motor in one direction is because the commutator frequently reverses the direction of the current in the loop of wire.
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Electromagnet in a motor must rotate consistently in just one direction because of the movement of permanent magnet.
What causes the rotation?
A Lorentz force is generated by the current and the magnetic flux of the permanent magnet in the same direction when the movement of the permanent magnet occur.
So we can conclude that Electromagnet in a motor must rotate consistently in just one direction because of the movement of permanent magnet.
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How do I do this? I’m super confused.
Explanation:
yes, correct, from the batteries, wires and bulbs. in short, from everything that is part of the circuit.
electricity is just a push on mostly already existing electrons to move along.
a battery has a surplus of electrons at the "-" pole, and an electron deficiency at the "+" pole. that creates an electromagnetic "pressure" (voltage), the surplus (ampere) squeezes into the circuit, while the deficiency pulls like a vacuum, and all that creates an electromagnetic field around the whole circuit, which moves also the existing electrons, pushing/sucking electrons at the end of the circuit "chain" into the "+" pole.
A car and an SUV both hit a patch of ice while driving eastbound down the road. The 1200-kg car was moving at 5 m/s when the 2600-kg SUV hit it from behind at a speed of 12 m/s. Upon impact, the car veers off the side of the road at a speed of 10 m/s. The SUV continues forward at its new velocity. Calculate the final speed of the SUV.
Velocity: _ m/s
The final speed of the SUV given the data from the question is 9.79 m/s
Data obtained from the questionMass of car (m₁) = 1200 KgVelocity of car (v₁) = 5 m/sMass of SUV (m₂) = 2600 KgVelocity of SUV (v₂) = 12 m/sFinal velocity (v) =?How to determine the final velocity of SUVFrom conservative of linear momentum,
momentum before impart = momentum after impart
m₁v₁ + m₂v₂ = v(m₁ + m₂)
Thus, we shall determine the final velocity of the SUV by obtaining the velocity after impart. This can be obtained as follow:
v = (m₁v₁ + m₂v₂) / (m₁ + m₂)
v = [(1200 × 5) + (2600 × 12)] / (1200 + 2600)
v = [(6000 + 31200)] / 3800
v = 37200 / 3800
v = 9.79 m/s
Thus, the final velocity of the SUV is 9.79 m/s
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What mindset do you believe Einstein had while alive and what do you think the key component or constant action was for Einstein throughout his "miracle year"
Albert Einstein had a growth mindset due to innovative nature.
What mindset do you believe Einstein had?Albert Einstein had a growth mindset because he did not give up when he face failure. He was very good in math and science but did not get into the school. The reason behind is that Einstein is different from other students. The key component or constant action was focus and devotion to work for Einstein throughout his "miracle year".
So we can conclude that Albert Einstein had a growth mindset due to innovative nature.
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A surfacing whale in an aquarium produces water wave crests every 0.40 seconds. If the water wave travels at 4.5 meters per second, the wavelength of the wave is
For a surfacing whale in an aquarium produces water wave crests every 0.40 seconds.is mathematically given as
w= 1.8m
What is the wavelength of the wave?Generally, the equation for is mathematically given as
w=V*T
Therefore
w=V*T
w=4.5 m/s*0.40s
w= 1.8m
In conclusion, the wavelength of the wave
w= 1.8m
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An object is moving across a surface, but it does not gain or lose speed. Which best describes the object’s force?
The net force is positive.
The net force is zero.
The positive force is greater than the negative force.
The negative force is greater than the positive force.
The statement best describes the object's force is the net force is zero.
What is Net force?When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.
An object is moving across a surface, but it does not gain or lose speed. This means that the body is moving with constant velocity. The constant velocity indicates that the acceleration is zero.
Thus, the net force is zero.
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