Given data:
Mass of rock 1;
[tex]m_1=50\text{ kg}[/tex]Height rock 1 lifted;
[tex]h_1=2\text{ m}[/tex]Mass of rock 2;
[tex]m_2=25\text{ kg}[/tex]Height rock 2 lifted;
[tex]h_2=4\text{ m}[/tex]The work done in lifting the rock is given as,
[tex]W=mgh[/tex]Here, m is the mass of the rock, g is the acceleration due to gravity (g=10 m/s²) and h is the height the rock lifted.
The work done in lifting rock 1 is given as,
[tex]W_1=m_1gh_1[/tex]Substituting all known values,
[tex]\begin{gathered} W_1=(50\text{ kg})\times(10\text{ m/s}^2)\times(2\text{ m}) \\ =1000\text{ J} \end{gathered}[/tex]The work done in lifting rock 2 is given as,
[tex]W_2=m_2gh_2[/tex]Substituting all known values,
[tex]\begin{gathered} W_2=(25\text{ kg})\times(10\text{ m/s}^2)\times(4\text{ m}) \\ =1000\text{ J} \end{gathered}[/tex]On comparing the work done in lifting rock 1 and 2 we conclude that,
[tex]W_1=W_2=1000\text{ J}[/tex]Therefore, the same amount of work is done in lifting a 50 kg rock by 2 meters and lifting a 25 kg rock by 4 meters.
Your community is considering building a dam on a nearby river to reduce flooding. Would you support this proposal? Explain.
I need to get it done right now
Your community is considering building a dam on a nearby river to reduce flooding. yes, this proposal need support. because through dam we can store flood water.
What is a dam?A physical barrier known as a dam slows or limits the flow of surface or subsurface water. Reservoirs built by dams provide water for navigation, aquaculture, irrigation, human consumption, industrial use, and other purposes.
What is the use of dam?Let's examine some of a dam's uses now that we have a basic understanding of what a dam is. It is valued as a resource for water. They provide water for a variety of uses, including home, agricultural, and industrial ones. Dams are also utilised to produce energy and improve river transportation. Dams are used more and more frequently in daily life. Dams also promote local tourism, which contributes to the growth of the nation. Dams can be used for many different things.
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Recognise cause and effect. Acceleration can occur when a car is moving at a constant speed what must cause this accelaration. please answer in full sentences
Answer:
The car must be moving at a changing velocity but at a constant speed. This is caused when an object is changing direction but not its speed.
Explanation:
Since velocity is a vector, it is measured with both magnitude (the numerical value) and direction. Acceleration is the change in velocity over a time period, which makes acceleration also a vector.
Speed is a scalar, so it is only measured by its magnitude (the numerical value). Speed only changes if you:
1. slow down
2. speed up
There are 3 ways an object can accelerate:
1. by slowing down
2. by speeding up
3. by changing direction (turning)
Since the speed is the same, that means the car can't be speeding up or slowing down. Therefore, the car must be turning direction with a constant speed.
What type of wave is an electromagnetic wave?
transverse
longitudinal
both
neither
Your friend states in a report that the time needed for ten laps has been measured and that the average time required to circle the 2.5-mile track was 65.421 seconds. You know that the clock used has a precision of .2 seconds. How much confidence do you have in the results of the report? Explain
Results are never more exact than the least precise measurement. The average lap time surpasses clock precision. I will have a fair amount of confidence in the results of the report
This is further explained below.
What is a circle?Generally, A result can never be more accurate than the measurement that was the least accurate.
The calculated average lap time is more accurate than the clock can measure.
A conclusion can never be more accurate than the measurements that were used to get at it. The accuracy that may be achieved with the clock is exceeded by the average lap time that was determined.
Hence, for a clock that bears a precision of 0.2 seconds, I will be confident in its results bearing precision in mind, Because knowing the precision you can easily manipulate the results to get the desired outcome
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If an airplane is flying 100 mph South but there is a crosswind pushing the airplane 30 mph to the West, then what would the resulting velocity be?
O 104.4 mph, NE
O 104.4 mph, SW
O 10900 mph, NE
O 11.4 mph, SW
The resultant velocity of the plane has a magnitude 104.4 mph and direction south of west .
What do you mean by velocity?The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.The speed at which something moves in a specific direction is known as its velocity. as the speed of a car driving north on a highway or the pace at which a rocket takes off. Because the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.The plane is flying south at a speed of 100 mph and is blown by a 30mps strong wind due west.
⇒ The angle between the direction of flight of plane and the direction of the wind is 90° .
⇒ By Pythagoras theorem, the resultant speed is
[tex]\sqrt{100^{2} +30^{2} } =\sqrt{10900}[/tex] =104.4 mph
⇒ The resultant velocity of the plane has a magnitude 104.4 mph and direction south of west
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Find the x -component of vector a⃗ = (7.0 m/s2 , −y -direction).
The y-component of vector (a ) is -7.0j m/s²
In science, anything that has both a direction and a magnitude is referred to as a vector. They are typically represented by pointing arrows, the length of which denotes the size of the vector. The direction is then crucial in accordance with the vector.
We are given that,
the x -component of vector (a)x = 7.0m/s²
The acceleration in vector sum form x - direction and y - direction is given as,
[tex]a = a_{x} +a_{y}[/tex]
So that , the (-y-direction) acceleration then x- component must be zero then,
[tex]a =(7.0i) + (-7.0j)\\a= - 7.0j[/tex]
Thus, the acceleration on -y- direction will be -7.0jm/s²
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[2-d collision on a frozen pond] while doing physics experiments on a frozen pond's frictionless horizontal surface, sam, of mass 80.0 kg, is given a push and slides eastward. abigail, of mass 50.0 kg, is sent sliding northwards. they collide (whump!), and afterwards sam is moving at 37.0° north of east at 6.00 m/s, while abigail is moving 23.0° south of east at 9.00 m/s.
We could calculate the initial and final kinetic energy after computing the velocities prior to the impact. So, the total kinetic energy of the two people decrease during the collision by -638.73 J.
Since the velocity before to the collision is unknown, it is impossible to calculate the kinetic energy. So, we'll start by computing the velocities before to the impact.
If all external forces have a zero vector total, momentum is said to be conserved. In other terms, it may be said that the system's momentum prior to the collision and its after momentum should be identical.
This indicates that even if we know little or nothing about the internal forces of the system, we can still calculate the system's momentum.
The kinetic energy prior to and following the collision must be calculated in order to calculate the change in kinetic energy.
Due to the unknown velocity before to the contact, it is impossible to calculate the kinetic energy. As a result, we'll start by computing the velocities that existed before the impact.
The first step is to calculate the x and y components of the velocity following the collision. Sam might be represented by variable S, and Abigail by variable A.
v S = v S x + v S y = 6.00 m / s cos 37 + 6.00 m / s sin 37 v S = ( 4.79 I + 3.61 j ) m / s v A = v A x + v A y = 9.00 m/s cos 23 + 9.00 m/s sin 23 v A = ( 8.28 I + 3.52 j ) m / s
Then, keep in mind the equation for momentum conservation: p 1 = p 2
where p 1 represents the momentum prior to the collision and p 2 represents the momentum following the collision. Since Sam is sliding eastward before to the collision in the aforementioned scenario, we will only utilize the x component of the velocity after the collision of Sam and Abigail to compute the velocity of Sam before the collision, and we will also set Abigail's momentum to zero.
We could now calculate the initial and final kinetic energy after computing the velocities prior to the impact.
KE1=12mS(vS1)
2+12mA(vA1)
2=12(80 kg)(9.97 m/s)
2+12(50 kg)(2.26 m/s)
2KE1=4103.73 J
KE2=12mS(vS1)
2+12mA(vA1)
2=12(80 kg)(6.00 m/s)
2+12(50 kg)(9.00 m/s)
2\sKE2=3465 J
The difference between the end and starting kinetic energy could be used to calculate the change in kinetic energies.
KE= -638.73J
Complete question is:
You and your friends are doing physics experiments on a frozen pond that serves as a frictionless, horizontal surface. Sam, with mass 80.0 kg, is given a push and slides eastward. Abigail, with mass 50.0 kg, is sent sliding northward. They collide and after the collision, Sam is moving at 37.0 degrees north of east with a speed of 6.00m/s and Abigail is moving at an angle 23.0 degrees south of east with a speed of 9.00 m/s. By how much did the total kinetic energy of the two people decrease during the collision?
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On the kickoff, the football was in the air for 4 seconds before hitting the ground 52 meters away. How fast did the ball leave the foot of the kicker?
The initial speed that the ball left the foot of the kicker if it was in the air for 4 seconds before hitting the ground 52 meters away is 23.64 m / s
T = 2 u sin θ / g
R = u cos θ * T
T = Total time of flight
u = Initial velocity
g = Acceleration due to gravity
R = Horizontal range
T = 4 s
R = 52 m
4 = 2 u sin θ / 9.8
u = 39.2 / 2 sin θ
u = 19.6 / sin θ → ( 1 )
52 = u cos θ * 4
u = 13 / cos θ → ( 2 )
Equating ( 1 ) and ( 2 ),
19.6 / sin θ = 13 / cos θ
sin θ / cos θ = 19.6 / 13
tan θ = 1.5
θ = 56.3°
From ( 2 )
u = 13 / cos 56.3°
u = 13 / 0.55
u = 23.64 m / s
Therefore, the initial speed that the ball is 23.64 m / s
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a mouse of mass 27.0 g falls 200 m down a vertical mine shaft and lands at the bottom with a speed of 8.1 m/s. during its fall, how much work (in j) is done on the mouse by air resistance?
Work is done on the mouse by air resistance 25.574 Joule.
Work is done every time a force moves something over a displacement. you can calculate the electricity transferred, or paintings done, by using multiplying the force via the gap moved in the course of the force. strength transferred = work achieved = pressure x distance moved within the direction of the pressure.
Work to be accomplished, a force must be exerted and there must be motion or displacement in the route of the pressure. The work done by way of a force appearing on an object is the same as the significance of the pressure accelerated by way of the space moved within the route of the force.
given,
mass = 27.0 g = 0.027 kg
Height H = 200 m
initial speed u = 0 m/s
final speed V = 8.1 m/s
force = mg
= 0.027 × 9.8
= 0.2646 N
1/2mu² + mgh = mgh + 1/2mv²
0 + 0.027×9.8 ×100 = 0 + 1/2×0.027× (8.1)² + air reesistance
initial energy = 26.46 J
final energy = 0.886 J
air resistance = 26.46 J - 0.886 J
= 25.574 Joule
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what is temperature?
how temperature can be measured
Answer:
Temperature is the kinetic energy of the particles of a substance.
Explanation:
The more kinetic energy a particle has the higher it's temperature. In the case of the atmosphere, which is what we are primarily concerned with in Meteorology, we measure this using a mercury thermometer (in certain situations we use an alcohol thermometer and of course modern times have given us things like dewcells and digital thermometers but we always go back to the mercury thermometer for accuracy).
A block of mass 290 kg slides on a frictionless plane inclined at 39◦ with the horizontal under the influence of a restraining force of 1643 N acting parallel to the incline and up the incline. The acceleration of gravity is 9.8 m/s^2
What is the magnitude of the acceleration of the block? Answer in units of m/s^2
The resulting motion is
1. down the plane, since the acceleration is positive.
2. up the plane, since the acceleration is negative.
3. undetermined.
The magnitude of the acceleration is −0.50 m/s² of the block of mass 290kg that slides on a frictionless plane inclined at 39◦ with the horizontal under the influence of a restraining force of 1643 .
The resulting motion is
2. up the plane, since the acceleration is negative.
What is acceleration?Acceleration describes the speed and direction changes in velocity over time. Acceleration refers to the change in speed or direction of an object or point moving straight ahead.
Due to the constant change in direction, motion on a circle accelerates even when the speed is constant. Both effects help to accelerate all other types of motion.
We have given that,
m = 290 kg
θ = 39◦
F = 1643 N
g = 9.8 m/s²
The force due to gravity
F₁ = m × g × sinθ
F₁ = 290 × 9.8 × sin 39°
F₁ = 1790.46 N
Lets take acceleration is a m/s²
Form Newtons second law
F - F₁ = m × a
1643 - 1790.46 = 290 x a
a = −0.50 m/s²
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An electic bulb is rated 60W, 220V. Calculate the resistance of its filament when it is operating normally.
Answer:
Explanation:
We have to use the equation p = I^2 x R. But we do not have the current.
To work out the current, we look at what we have. We have the voltage and power, therefore we will use the equation P = IV and rearrange to find the current.
I = P/V
I = 60/220
I = 0.2727272727 or round it to 2 dp to get = 0.27
we now have to rearrange the first equation to find the resistance.
R = P/I^2
R = 60/0.2727272727^2
R = 806.6666665501
R = 807 ohms (3sig)
The resistance of the filament is 806.67 ohms.
Electrical power is defined as the rate at which electrical energy is transferred by an electric circuit. The SI unit of power is Watt, 1 joule per second ( 1J/S).
The formula of electrical power is
P = V^2/R
where,
P = power
V = volts
R = resistance
from the above formula
60 = 220x220/R
R = 220x220/60
R = 806.67
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Two objects in a closed system collide. After the collision, one object has lost speed, but the other object has gained speed. Explain what has happened. A. Total momentum in a closed system is conserved. B. Gravitation potential energy converts to kinetic energy. C. Kinetic energy converts to gravitational potential energy. D. Mass is conserved
A. Total momentum in a closed system is conserved
the law of momentum conservation states that The total amount of momentum before the collision is the same as the total momentum after the collision. Regardless of the change of momentum of each object.
How can manipulation of a model be done
A model can be altered in a number of ways, by importing a database, combining information, or erasing data.
The term "scientific manipulation" in behavior analysis describes the methodical organization of a variable under research in order to enable the objective analysis of the effects of the variable presence or absence on some other measurable behavior.
To manipulate data, build a database with information from many sources, clean and rearrange the content of the database, combine and remove redundant information, and then do an analysis to uncover important information.
Understanding your needs and goals, utilizing automation tools, filtering your data, and researching various manipulation tools are some strategies for manipulating data.
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What is the frequency of light when the energy of a single photon is 2. 23 × 10-21 j?.
When a single photon has an energy of 2.23*10-21, light has a frequency of *E=hv 2.23 10-21 J = (6.626... 3.03 10-19 J (6.022*1023 photons).
A photon is a tiny energy packet of electromagnetic radiation, also referred to as a light quantum.
Given energy, what is a photon's frequency?A single photon's energy is determined by the equation E = h v, where E is its energy (measured in SI units of J), h is the Planck constant (6.626 x 10-34 J s), and is the frequency of the radiation (measured in SI units of s-1 or Hertz, Hz) (see figure below).E = h is the energy equation.In the formula, E stands for energy, h for Planck's constant (6.626 x 10 -34 J s), and v for frequency.Since frequency rises as energy falls, frequency and energy are related directly in the energy equation. Because h is a constant, this is conceivable. between frequency and energy since frequency and energy are inversely correlated. Because h is a constant, this is conceivable.To learn more about Photon frequency refer to:
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If an object is at rest or stopped, what is its velocity, acceleration, or speed?
Answer:
Thus, even though the velocity of an object at rest must be zero, acceleration can clearly be non-zero for objects at rest. A particle that is thrown vertically upwards stops momentarily at the highest point of motion.
Answer:
Everything is zero. Because it's at rest.
A rectangular loop of wire with a cross-sectional area of 2.936 m2 carries a current of 6.488 A. The loop is free to rotate about an axis that is perpendicular to a uniform magnetic field strength of 1.108 T. The plane of the loop is initially at an angle of 59.914o to the direction of the magnetic field. What is the magnitude of the torque on the loop ?
ANSWER:
10.58 Nm
STEP-BY-STEP EXPLANATION:
Given:
Area (A) = 2.936 m²
Current (i) = 6.488 A
Magnetic field (B) = 1.108 T
Angle (θ)= 59.914°
To calculate the torque we must resort to the following formula:
[tex]\begin{gathered} \tau=MB\sin\alpha \\ \\ \alpha=90\degree-\theta=90-59.914\degree \\ \\ \alpha=30.086\degree \end{gathered}[/tex]We need to know the magnetic moment, as follows:
[tex]\begin{gathered} M=NIA \\ \\ M=1\cdot6.488\cdot2.936 \\ \\ M=19.05\text{ A}\cdot m^2 \end{gathered}[/tex]In this way we can calculate the torque:
[tex]\begin{gathered} \tau=19.05\cdot1.108\cdot\sin(30.086\degree) \\ \\ \tau=10.58\text{ Nm} \end{gathered}[/tex]Therefore, the magnitude of the torque on the loop is 10.58 Nm
two carts mounted on an air track are moving toward one another. cart 1 has a speed of 0.9 m/s and a mass of 0.45 kg. cart 2 has a mass of 0.62 kg. (a) if the total momentum of the system is to be zero, what is the initial speed of cart 2 in meters per second?
Because the total momentum of the system is zero, Cart 2's initial speed is 0.62 m/s. No, the system's kinetic energy is not equal to zero because energy, according to the law of conservation of energy, cannot be destroyed.
The kinetic energy of the system is 0.268 Joules. Linear momentum is a vector quantity defined as the product of an object's mass, m, and velocity, v. The letter 'p' is used to express it, and momentum is used for short. Please keep in mind that the body's momentum always points in the same direction as its velocity vector. A body's momentum is defined as the product of its mass and velocity.
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Matt likes to get from the second floor of his house to the first floor by sliding
down the banister that is inclined at an angle of 30.0°to the horizontal. If Matt
has a mass of 50 kg and the coefficient of sliding friction between Matt and the
banister is 0.20, what is the force of friction impeding Martin's motion down the
banister?
The force of friction impeding Matt's motion is 49.05 N.
What is friction?
When two surfaces move relative to each other, friction between them turns kinetic energy into thermal energy (that is, it converts work to heat). As demonstrated by the utilisation of friction caused by rubbing pieces of wood together to start a fire, this feature can have severe repercussions. When motion with friction occurs, such as when a viscous fluid is churned, kinetic energy is transformed to thermal energy. Another significant effect of many types of friction is wear, which can lead to performance degradation or component damage. The science of tribology includes friction.
The force of friction impeding Matt's motion down the banister can be calculated using the equation:
Ff = μN
where μ is the coefficient of sliding friction and
N is the normal force.
The normal force can be calculated using the equation:
N = mg sinθ
where m is the mass of the object, g is the acceleration due to gravity, and θ is the angle of incline.
Plugging in the known values, we get:
Ff = μN
Ff = (0.20)(50 kg)(9.81 m/s2)(sin 30.0°)
Ff = 49.05 N
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be sure to answer all parts.an fm station broadcasts classical music at 94.5 mhz (megahertz, or 106 hz). find the wavelength (in m, nm, and å) of these radio waves.
Thus, the wavelength is 3.21 m when the frequency fm station broadcasts classical music is at 93.5 mHz.
A waveform signal's wavelength is defined as the separation between two identical points (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically expressed in metres (m), centimetres (cm), or millimetres (mm) (mm). It is more common to specify the wavelength in nanometers (nm), which are units of 10-9 m, or angstroms (), which are units of 10-10 m, for infrared (IR), visible light (VL), ultraviolet (UV), and gamma radiation ().
Frequency, or the quantity of wave cycles per second, is inversely related to wavelength. The wavelength of a signal decreases in length as its frequency increases. An electric field and a magnetic field vibrate together, producing an electromagnetic wave. A wavelength can be determined by dividing a wave's velocity by its frequency.
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a spotlight on the ground is shining on a wall away. if a woman 2m tall walks from the spotlight toward the building at a speed of 0.6 m/s how fast is the length of her shadow on the building decreasing when she is 2m from the building?
The answer is dy/dt is equal to -(20/7)(1/14)(0.6) = -0.12245 m/s.
The negative sign shows that the rate is falling as y gets shorter
.Woman Height/ Distance Light To Woman equals
Shadow Height/Distance Light To Wall.
explanation?
Think of a huge triangle with the origin as the spotlight, a base of 20, and the height of the shadow on the wall as y. Inside the larger triangle, a comparable triangle that is x meters from the spotlight and 2 meters
tall—the woman's height—can be seen.
Woman Height/ Distance Light To Woman equals
Shadow Height/Distance Light To Wall.
The shadow height is y. Let x be the distance from the woman to the light.
xy = 40 or y/20 = 2/x
Take both sides' derivative:
XDY + YDX = 0 based on the product rule.
Solve for the desired result, dy/dy:
dy/dt = -(y/x)dx/dt, where dx/dt = 0.6 m/s.
The woman is 20 - 6 meters from the light when she is 6 meters from the wall, which is 14 meters, or x.
Keep in mind that y/20 = 2/x = 2/14 --> y = 40/14 = 20/7 from the related triangles.
So, dy/dt is equal to -(20/7)(1/14)(0.6) = -0.12245 m/s.
The negative sign shows that the rate is falling as y gets shorter.
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An arrow is launched straight up from the ground with an initial velocity of 23.4m/s how long until it reaches its highest point
Answer:
t = 2.388 seconds
Explanation:
Initial velocity is 23.4 m/s
At the highest point, the velocity will be 0 m/s
We can use the equation
[tex]v = u+at[/tex]
V is the final velocity at the highest point
U is the initial velocity
A is the gravity pulling down on the ball
T is the time in seconds
We plug in the numbers
[tex]0 = 23.4 - 9.8t[/tex]
[tex]t = 2.387755102[/tex]
When electricity to an electromagnet is stopped, what happens to the strength of the magnet?.
When electricity to an electromagnet is stopped the magnetic strength of the magnet will be lost.
What is electromagnet and what happens to the strength of the magnet?An electromagnet is a device consisting of a core made up of magnetic material surrounded by a coil through which electric current can pass.So electricity is essential to the wire for the electromagnet to work in a proper manner.In the electromagnet the magnetic flux is varied , sometimes it is switched on and sometimes off.Inside the electromagnet moving charges create magnetic fields, when coil have the current passing through it. Hence the magnet will lose the magnetic strength when electricity to an electromagnet is stopped.To know more about electromagnet visit:
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the speed of car increase if the car's
If a force of 10 newtons acts on an object and an additional force of 6 newtons acts in the same direction, what will be the net force on the object?.
Two forces 10N and 6N acts on an object in same direction , then the net force will be:
16N .
What is net force?The sum of all the forces acting on an object is defined as the net force. A mass can be accelerated by net force. Another force acts on a body at rest or in motion. When there are a large number of forces in a system, the net force is used.When a body is in motion, many forces act on it, including gravitational force Fg, frictional force Ff, and the normal force. As a result, the net force formula is given by Fa + Fg + Ff + FN = FNet.When two forces act in the same direction on an object, the net force equals the sum of the two forces.So here net force : F= F1 + F2.
Here,
F1 = 6 N
F2 = 10 N
F = 6N + 10N
F = 16N
∴ Net force = 16N .
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replace the force system acting on the post by a resultant force, and specify where its line of action intersects the post ab measured from point b. (10 points)
The resultant force is the force that can replace all the acting forces and have a comparable effect on the section or beam when several forces are acting on it.
If the forces acting on a body in a specific direction result in a net sum of zero in that direction, the forces acting on the body are said to be in equilibrium.
The resultant force is the force that can replace all other forces operating on a beam or section while still having the same impact on the section or beam. This force is used when many forces are acting on a beam or section.
The resultant force in the X direction equals 250 and must act for more than five, minus 500 cosign 30 minus 300, which equals 533.41 Newton and the magnitude of the forces in the left direction. The magnitude of the resultant force in the y direction should likewise be the same. S
ome forces that are equal to 500 sign 30 - 150 in the y direction. multiply it by 3/5 so that it equals 100. Newton's are inefficient, thus the force Rf's magnitude should be square root off 533.1 square lost 100 square, equaling 542 Newtons, and the angle Sita if 10 members 100 over 533.41, equal to 10.6 degrees for the location off.
We have 533.1 when we multiply the equal 500 committed by the result on force So instant off the resultant around the. 30 supply point to minus 250 and multiplied by minus 500. city above five, apply.
Subtract 200 50 from 0.5. Divide by 4/5. Loss of three supplies A 300 must submit one. Therefore, using this equation, we can determine T's value, which is 827 millimeters.
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In the principle of moments (select the correct statement):
20 points
the moment of the biggest Force will be always bigger than the moment of the other force
moments of both forces are equal
the moment of the smallest Force will be always bigger than the momentof the other Force
According to the research, the correct option is moments of both forces are equal. In the principle of moments, both moments of forces are equal.
What is the principle of moments?It states that the moment of a force about a point is equal to the sum of the moments of the components of the force about the point where two forces are equivalent when their effects on a rigid body are the same, that is, produce the same moment.
In this sense, two forces acting on an object are known as a couple whose torques about a point cause the object they act on to tend to rotate.
Therefore, we can conclude that following the equilibrium condition in the principle of moments, a structure of an object has to respond to the action of a moment with another of the same value and in the opposite direction.
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an airplane traveling 1001 m above the ocean at 125 km/h is going to drop a box of supplies to shipwrecked victims below. a. how many seconds before the plane is directly overhead should the box be dropped?
14.3 seconds before the plane is directly overhead should the box be dropped in projectile motion.
The motion of thebox is a projectile motion, therefore it consists of two independent motions:
A uniform motion (at constant velocity) along the horizontal direction
A uniformly accelerated motion, with constant acceleration (=acceleration of gravity, ) in the downward direction
s = 1000 m is the vertical distance that the box must cover
u = 0 (the box's initial vertical velocity (zero, since it is travelling horizontally)
g is the acceleration of gravity
t is the time
The time the box needs to arrive at the ground is determined by solving for t:
[tex]t=\sqrt((2s/g=\sqrt((2(1000))/(9.8))=14.3s[/tex]
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A block of mass 200g is oscillating on the end of a horizontal spring of spring constant 100 N/m and natural length 12 cm. When the spring is stretched to a length of 14 cm, what is the acceleration of the block? [F=ma=kx]
In order to determine the acceleration of the block, use the following formula:
[tex]F=ma[/tex]Moreover, remind that for an object attached to a spring the magnitude of the force acting over a mass is given by:
[tex]F=kx[/tex]Then, you have:
[tex]ma=kx[/tex]by solving for a, you obtain:
[tex]a=\frac{kx}{m}[/tex]In this case, you have:
k: spring constant = 100N/m
m: mass of the block = 200g = 0.2kg
x: distance related to the equilibrium position = 14cm - 12cm = 2cm = 0.02m
Replace the previous values of the parameters into the expression for a:
[tex]a=\frac{(\frac{100N}{m})(0.02m)}{0.2\operatorname{kg}}=10\frac{m}{s^2}[/tex]Hence, the acceleration of the block is 10 m/s^2
The question is in the picture please answer problem 8Thank you
According to the second law of Newton, the acceleration is directly proportional to the net force acting on the object:
[tex]F=m\cdot a[/tex]From this formula, we can also see that the acceleration is inversely proportional to the mass: For the same force, if the mass increases, the acceleration decreases.
Therefore the correct option is d.