HELP!

Mr. Mock sets up a demonstration on a moving bus. The device consists of a ball attached with a string to a magnet. He uses the magnet to hang the ball from the top of the school bus as the bus turns the corner at a constant speed. What will the ball do?

a
The ball swings backward.

b
The ball swings forward.

c
The ball swings to the outside of the curve.

d
The ball swings toward the inside of the curve

Answers

Answer 1

Answer:

The ball swings to the outside of the curve (assuming that the road is level.)

Explanation:

Assume that the air resistance on the ball in this question is negligible. The only forces acting on this ball will be tension that the string exerts on this ball and the weight of the ball.

Since the ball is in a centripetal motion, the net force on this ball will point directly to the center of the curve.

Refer to the diagram attached. The net force on this ball is the vector sum of weight and tension. Since weight points downwards, tension will need to point upwards to balance weight and toward the center of the curve, so that resultant force points horizontally toward the center of the curve.

The tension on the ball points along the string away from the ball (toward the ceiling.) For the tension that the string exerts on this ball to point toward the center of the curve and upwards, the ball will need to swing away from the center of the curve (as show in the diagram.)

Therefore, the ball will swing towards the outside of the curve (away from the center of the curve.)

HELP!Mr. Mock Sets Up A Demonstration On A Moving Bus. The Device Consists Of A Ball Attached With A

Related Questions

1.A 98.0 kg basketball player runs at a speed of 7.0 m/s. What is KE?

2.A jogger whose mass is 65 kg is moving at a speed of 4 m/s. What is the jogger's KE?​

Answers

Answer:

Brainliest Answer?

2401J 520J

Explanation:

E = ( 1 / 2 )mv²

b = ( 1 / 2 )( 98kg )( 7ms⁻¹ )²

b = ( 49 )²kgm²s⁻²

b = 2401J

j = ( 1 / 2 )( 65kg )( 4ms⁻¹ )²

j = ( 1 / 2 )( 65kg )( 16m²s⁻² )

j = 520kgm²s⁻²

j = 520J

Answer:

Explanation:

Given:

m = 98.0 kg

V = 7.0 m/s

__________

Ek - ?

KE - kinetic energy

Ek = m·V² / 2

Ek = 98.0*7.0² / 2 ≈ 2 400 J

Efficiency of Machines Quick Check
Which is the equation for a machine's efficiency? (1 point)
O Efficiency
O Efficiency input energy - output energy
input energy . 100
=
=
=
output energy
input energy
O Efficiency output energy
O Efficiency input energy + output energy
=
. 100

Answers

The equation for a machine's efficiency is Efficiency = Output energy / Input energy * 100

Efficiency = ( Output energy / Input energy ) * 100

The efficiency of an ideal machine is 100% where Output energy is equal to  Input energy. The efficiency cannot be greater than 100% in any machine. Because work done by the machine cannot be more than the work done on the machine.

The efficiency of a machine in real world is always less than 1 because some of the input energy is lost as friction or heat in any type of machine. So the ideal machine is possible in real world applications.

Therefore, the equation for a machine's efficiency is Efficiency = Output energy / Input energy * 100

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The skater eventually comes to a stop.
What has happened to all of the skater's
original potential energy?

Answers

The potential energy converts to kinetic energy. I hope that this was helpful

Please help and explain will mark brainiest!!!

Answers

The particles or energy in a transverse wave travel up and down, perpendicular to the direction of the wave travel.

What is electromagnetic wave?

Electromagnetic waves are type of wave that do not require material medium for their propagation.

This type of waves travels in vacuum or in open medium.

Examples of electromagnetic waves include the follows;

Gamma raysx-raysultraviolet raysvisible lightinfra redmicro wavessound waves

Electromagnetic waves are known as transverse waves due to their mode of propagation.

In transverse wave, the particles of the medium travels perpendicular to their mode of vibration.

Thus, the particles or energy in a transverse wave travel up and down, perpendicular to the direction of the wave travel.

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the shape of an atomic orbital is associated with group of answer choices the spin quantum number (ms). the principal quantum number (n). the angular momentum quantum number (l). the magnetic quantum number (ml). the magnetic and spin quantum numbers, together.

Answers

The shape of an atomic orbital is associated with the principal quantum number (n).

Why do atoms have orbitals?

The wave character of the electrons (or electron pairs) in an atom is described by atomic orbitals, which are mathematical functions. They provide a method for calculating the likelihood that an electron will be located in a particular area surrounding the atom's nucleus. An atom can have any number of orbitals, according to the quantum atomic model.

Why do a wave's orbitals affect the shape of the wave?

The function of the wave will therefore be determined  by the distance from the nucleus and not by its direction. Any particle's orbital shrinks in size but maintains a spherical geometry as its center quantum number drops.

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a parallel-plate capacitor is connected to a battery. the energy of the capacitor is u0 . the capacitor is then disconnected from the battery and the plates are slowly pulled apart until the plate separation doubles. the new energy of the capacitor is u . find the ratio u/u0 .

Answers

The ratio u/u0 : 1/2

As the distance is doubled and the battery is connected, we know that Capacitance is given by:   [tex]C= \frac{\epsilon_0 A}{d}[/tex]

As the distance between the plate is doubled, C will become: [tex]C= \frac{\epsilon_0 A}{2d} = \frac{C}{2}[/tex]

Now, as the battery is connected, Voltage will remain constant, therefore Charge Q will become:   [tex]Q=\frac{CV}{2}[/tex]

The energy before doubling the distance between the plates was, U0 :

[tex]U_0 = \frac{1}{2}QV = \frac{1}{2}CV^2[/tex]

After doubling the distance, the Energy will become U:

[tex]U = \frac{1}{2}QV = \frac{1}{4}CV^2[/tex]

Therefore, the ratio will be:

                           [tex]\frac{U}{U_0} = \frac{\frac{1}{2}CV^2}{\frac{1}{4}CV^2} = \frac{1}{2}[/tex]

What is capacitor ?

A capacitor is a bipolar electrical device that can store energy in the form of an electrical charge. It consists of two electrical conductors  separated by a distance. The space between the conductors can be filled with a vacuum or  an insulating material known as a dielectric. The ability of a capacitor to store charges is called capacitance. Capacitors store energy by keeping opposite charges away from each other. The simplest model of a capacitor is a parallel plate, which consists of two metal plates with a gap between them. However, different types of capacitors are manufactured in different shapes, styles, lengths, circumferences and materials.

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larry uses a lever to list a box. where does inefficiency occur in the lever

Answers

Answer:

low internal resistance.

Explanation:

A lever has a high efficiency due to the fact that it has low internal resistance. The work it puts out is almost equal to the work it receives, because energy used up by friction is quite small. On the other hand, an a pulley might be relatively inefficient due to a considerably greater amount of internal friction.


A school bus moves 200 meters in 20 seconds, and another 100 meters in the next 10 seconds.
Calculate its average speed in m/s.

Answers

Answer: 300 m/s

Explanation:

So If it moves 200 metres in 20 seconds and then another 100 metres this is changing the total distance travelled to 300 metres. Also, it moves this distance extra distance in 10 seconds therefore the total time is 30 seconds.

speed = distance / time

speed = 300 / 30

speed = 10 m/s

After travelling a total of 300 metres and spending a total of 30 seconds in motion, the school bus travels at an average speed of 10 metres per second (m/s).

To figure out how fast the school bus was going on average, we need to know how far it went and how long it took to get there.

First, we add up the two lengths the school bus travelled: 200 metres plus 100 metres equals 300 metres.

Next, we add up how long it took to go both distances: 20 seconds plus 10 seconds equals 30 seconds.

Here's how to figure out the average speed:

Average Speed = Total Distance Travelled / Total Time Spent

Putting the numbers in:

Average Speed = 300 metres in 30 seconds

10 metres per second (m/s) is the average speed.

So, the school bus's usual speed is 10 m/s.

Average speed is the general rate of movement over a certain amount of time, no matter how it changes during the trip. In this case, the bus went 300 metres in 30 seconds, which means it went 10 m/s on average.

It's important to know that instantaneous speed is not the same as usual speed. Instantaneous speed is the speed of the bus at any given time during its trip. This speed could change as the bus speeds up, slows down, or stays at the same speed.

Calculating the average speed is helpful for figuring out how well something works generally, figuring out how efficient it is, and comparing different trips or types of transportation. But it might not take into account all the details of a given trip, such as different speeds or stops along the way. For a full picture of how the bus moves, it may be necessary to think about other things.

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Two students, Jenny and Cho, are investigating motion.
Jenny walks in a straight line.
Cho measures the distance Jenny has walked at 10 s intervals.
State two measuring instruments the students should use.

Answers

Answer:

1: a measuring instruments the students should use for time is a stopwatch

2: a measuring instruments the students should use for distance is a measuring tape

Explanation:

pls mark brainliest

to measure the speed of an airplane, a narrow strip heater is attached to the wing of an airplane 0.01 m from the leading edge. a heat flux of 300 w/m2 is electrically dissipated and the temperature difference between the heater and the surrounding air is measured to be 1 oc. assume that the temperature of the wing is uniform. what is the speed of the aircraft?

Answers

The speed of the aircraft with a narrow strip heater attached = 370.97 m/s

The distance of the strip heater attached to the wing from the leading

edge, x = 0.01 m

Heat flux, q = 300 W/m²

The temperature difference between the heater and surrounding air,

ΔT = 1°C

The properties of the air are

   The density of air, ρ = 1 kg/m³

   Specific heat at constant pressure, CP = 1 kJ /kg K

   Thermal conductivity, k = 0.02 W/mk

   Viscosity, ν = 1.5 x 10⁻⁵ m²/s

Dynamic viscosity,

                                μ = ρ.ν

                                   = 1 x 1.5 x  10⁻⁵

                                  = 1.5 x  10⁻⁵ N s / m²

           

Prandtl number,

                         [tex]\displaystyle P_r =\frac{\mu. CP}{k}[/tex]

                              = 1.5 x 10⁻⁵ x 1 x 10³ / 0.02

                              = 0.75

Heat flux,

               q = hₓ ΔT

           300 =  hₓ x 1

              hₓ  = 300 W / m² C

So, the local Nusselt number is

                      [tex]\displaystyle Nu_x = 0.332 Re_x^{1/2} P_r^{1/3}[/tex]

                 

                      [tex]\displaystyle \frac{h_x.x}{K} = 0.332 \frac{v.x}{\nu}^{1/2}P_r^{1/3}[/tex]

    where v is the velocity of the aircraft

                        [tex]\displaystyle\frac{300 * 0.01}{0.02} = 0.332 \left( \frac{v*0.01}{1.5 * 10^{-5}}\right)^{1/2} (0.75)^{1/3][/tex]

                       

By further simplifying, we get

                 

                          150 = 0.332 x 0.9085 x 25.82 x [tex]v^{1/2}[/tex]

                              v = 370.97 m/s

Therefore, the speed of the aircraft is 370.97 m/s

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When inflating a balloon, which of the following represents an equal but opposite force acting on the balloon?
A.) releasing the balloon
B) the air entering the balloon
C) tying the balloon
D) the expansion of the balloon

Answers

When inflating a balloon, the expansion of the balloon represents an equal but opposite force acting on the balloon; option D.

What are equal and opposite forces?

Forces are agents which cause a change in the motion of an object moving in a straight line or an object at rest to change its position.

According to the third law of motion, reaction and action are equal and opposite forces.

This law is seen in the inflation of balloons.

When a balloon is being inflated, the force applied in inflating the balloon pushes against the wall of the balloon. The balloon acts in an equal opposite direction by forcing the air molecules together, thus increasing the pressure of the air inside the balloon.

Therefore, an equal and opposite force is exerted by the air molecules o the air molecules.

When the balloon is released, the air is forcefully forced out in the opposite direction.

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Answer:

its D

Explanation:

the person above is correct too

9. a supply plane needs to drop a package of food to scientists working on a glacier inalaska. the plane flies 100 m above the glacier at a speed of 150 m/s. how far short of the target should it drop the package?

Answers

[tex]X=150m/s * 4.518s =677.63m[/tex] far short of the target  it will drop the package.

How far short of the target should it drop the package?

First we can find the total time in order to reach the ground using the following kinematic formula:

[tex]y_{f} =y_{i}+v_{iy}+ \frac{1}{2} gt^{2}[/tex]

And replacing we have:

[tex]-100 =0+0- \frac{1}{2} (9.8)t^{2}[/tex]

And solving for t we got:

[tex]t=\sqrt{ \frac{2* (-100)}{-9.8} }=4.518 s[/tex]

And now we can find the final distance on the x axis using the formula:

[tex]D = Vxt[/tex]

The velocity on x not changes and is the same plane speed [tex]Vx=150m/s[/tex] , if we replace we got:

[tex]X=150m/s * 4.518s =677.63m[/tex]

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Find the acceleration of the 1kg block m the following diagram 5n 4n 5n

Answers

Explanation:

56777^7744 hold the 4 nd add 2

Exciting the electrons in an iron increases the energy in the iron atom which can cause heating how might a magnetic field be used to excite electrons in atoms

Answers

Magnetic fields can be used to excite electrons in atoms because a magnetic field can pull or push electrons.

What is the effect of magnetic field on electron?

Magnetic fields pull and push electrons which leads to the excitation of electrons. Metals have electrons that are loosely held together. Moving a magnet around a coil of wire around a magnet pushes the electrons in the wire that creates an electrical current. The magnetic force will not change the speed of an electron because the magnetic force is always perpendicular to the speed. Current in these coils causes the deflection of the electrons that is perpendicular to the magnetic field which is to the direction of the electrons.

So we can conclude that magnetic fields can pull or push electrons so that a magnetic field can be used to excite electrons.

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The potential energy of a roller coaster is 50 joules. The kinetic energy of the same coaster is 50 joules. What is the mechanical energy of the coaster?.

Answers

A roller coaster's mechanical energy is equal to 100 Joules if its P.E. and K.E. are each 50 Joules.

As a result, the roller coaster has a mechanical energy of 100 Joules.

explanation?

50 Joules is the potential energy of a roller coaster.

A roller coaster has kinetic energy of 50 Joules.

In order to determine the roller coaster's mechanical energy:

The entire amount of potential energy (P.E.) and kinetic energy (K.E.) that an object or body possesses is known as mechanical energy.

(ME)=50+50

Mathematically, the formula for mechanical energy states that it is equal to 100 joules when the given values are substituted.

As a result, the roller coaster has a mechanical energy of 100 Joules.

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a 21.6 gram arrow is shot through a 7.5 cm apple. if the arrow enters the apple at 35.5 m/s and emerges with a speed of 25.3 m/s in the same direction, what is the magnitude of the force with which the apple has resisted the arrow? (assume force is exerted only on the tip of the arrow)

Answers

The magnitude of the force with which the apple has resisted the arrow is 88.06 Newton.

Using, work-energy theorem,

According to which, the work done by the all the forces on the body is equal to the change in kinetic energy of the body.

So, we can write,

Work done = ∆KE

We know,

Work done = force × displacement

The force is the resistive force by the apple and the displayed is given to be 0.075 meters.

So, we can write,

F(0.075) = 1/2M(V²-U²)

Where,

M is the mass of apple,

V is final velocity,

U is initial velocity.

Putting all the values,

F(0.075) = 1/2(0.0213)((25.3)²-(35.5)²)

Solving further,

F = 88.06 Newton

The resistive force of the apple is 88.06 Newton.

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josh and taylor, standing face-to-face on frictionless ice, push off each other, causing each to slide backward. josh is much bigger than taylor. after the push, which of the two is moving faster?

Answers

After the push, Taylor will be moving faster because he has a smaller mass.

What is the force applied by each person?

The force exerted by each person is determined by applying Newton's second law of motion.

F = ma

where;

m is the mass of the persona is the acceleration of the person

The force applied by each person depends on the mass and acceleration.

mass of Josh > mass of Taylor

Since Josh has a greater mass, he will be able impact more force on Taylor causing Taylor to move faster after the push.

Thus, the speed of each person after the push, depends on the force received by each person at the opposite end.

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the radius of a circular oil slick expands at a rate of 3 m/min. (a) how fast is the area of the oil slick increasing when the radius is 58 m? (use symbolic notation and fractions where needed.)

Answers

1092.72 square meters / min, area of the oil slick increasing.

Area = pi*r^2

da/dt = pi*2r*(dr/dt)

da/dt = pi*(2)*(58)*3 = 1092.72 square meters / min.

In a two-dimensional plane, a circle's area is the space it takes up. The area of a circle is another term for the area that lies within a circle's perimeter. A = r2, where r is the circle's radius, is the equation for a circle's surface area. The square unit, such as m2, cm2, in2, etc., is used to measure area. The formula for the area of a circle is (Pi) = 22/7 or 3.14, where (Pi) = r2 or d2/4 in square units. The ratio of a circle's diameter to circumference is known as pi.

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why does the sky appear blue in the day vs. red during sunset? I’m looking for an answer that explain s using light rays!!

Answers

Rayleigh scattering makes the sky appear blue in the day and red during sunset.

A clear, cloudless daytime sky is blue because molecules in the air scatter blue light from the sun more than red light. Sun at sunset, appears red or orange because blue light is scattered from your line of sight.

The white light of the sun is a mixture of all the colors of the rainbow. This was demonstrated by Isaac Newton by using a prism to separate different colors to form a spectrum. Colors of light are distinguished by different wavelengths.

The visible portion of the spectrum ranges from red light with a wavelength of about 720 nm to violet with a wavelength of about 380 nm, with orange, yellow, green, blue, and indigo in between. Her three types of color receptors in the retina of the human eye are most responsive to red, green and blue wavelengths, giving us color vision.

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Two objects with the same mass have the same force applied to them. What can be said of their acceleration?

A. Their acceleration will be the same.
B. Their acceleration will be different.
C. Their acceleration will depend on their net force, which is not provided.
D. Their acceleration will depend on their weight, which is not provided.

A force of 30 N to the right is applied to an object. An opposite force of 20 N to the left is applied to the same object. What is the net force applied to the object?

A. 10 N to the left
B. 50 N to the right
C. 50 N to the left
D. 10 N to the right

Answers

Answer:

Explanation:

A. Their acceleration will be the same.    F=ma, a = F/m.  If F and m are the same, acceleration will be the same.

B. Their acceleration will be different.

C. Their acceleration will depend on their net force, which is not provided.

D. Their acceleration will depend on their weight, which is not provided.

======

A force of 30 N to the right is applied to an object. An opposite force of 20 N to the left is applied to the same object. What is the net force applied to the object?

A. 10 N to the left

B. 50 N to the right

C. 50 N to the left

D. 10 N to the right

Add the two vectors:  30R = +30, 20L = -20 Sum = +10 or 10R

The force acting on two bodies will be the same if they have same mass and same acceleration. But the acceleration is dependant on the net force of the body and thus option C is correct. The net force of the body is 10 N to the right.

What is force?

Force is an external agent or factor which change an object from its state of rest or motion. The force to be applied depends on the mass and acceleration of the body by the equation F = ma.

Acceleration of a moving body is dependant on the direction and thus the direction of force and net force. Thus the two objects having the same mass and same force f applied to them, the acceleration may not be the same. Thus option C is correct.

The two force acting on a body in opposite direction will cancel each other in magnitude. Thus 20N of force to the right will be cancel by 20 N to the left. Remaining 10N will be there to the right direction. Hence, option D is correct.

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Energy that comes from sources whose supplies are capable of being regenerated or are virtually inexhaustible is called.

Answers

Answer: Renewable

Explanation: Hope this helps.

psychology is the ___ study of behavior and mental processes

Answers

Answer:

scientific study

Explanation:

I hope that helps

Answer:

scientific studies

give me brainlyest please

The specific heat capacity, abbreviated with the letter , is the quantity of required to change the temperature of gram of an object by 1.

Answers

The specific heat capacity, abbreviated with C the letter , is the quantity of energy required to change the temperature of One gram of an object by 1

What is Specific Heat Capacity ?

The specific heat capacity is defined as the quantity of heat (J) absorbed per unit mass (kg) of the material when its temperature increases 1 K (or 1 °C), and its units are J/(kg K) or J/(kg °C).

The amount of heat per unit mass needed to raise the temperature by one degree Celsius is known as the heat capacity or specific heat. The ability to distinguish between two polymeric composites using specific heat is useful in calculating processing temperatures and the quantity of heat required for processing.

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a 100 n box is at rest on a tabletop where the coefficients of friction are 0.4 static and 0.3 kinetic. what force of friction will be present if you push on it horizontally westward with 35 n? give magnitude and direction of friction force.

Answers

A 100 n box is at rest on a tabletop where the coefficients of friction are 0.4 static and 0.3 kinetic.  static  force of friction will be present if you push on it horizontally westward with 35 N.

W = 100N - Ms = 0.4 Mi = 0.3

F = 35N

F = W = 100N

Now, limiting friction is

Fl = mi. N

or fi = 0.4x 100 = 40N

Here, limiting friction is greater than the applied force so, box  will not move and remain at rest.

so, here only static friction will work.

fs = F = 35N

fs = 35N

fs = 35N static friction force

What is static friction force?

Static friction is the force that prevents an object from moving along a path. When two fabrics slide over each other, this friction occurs. All around us is friction. For example, when we walk,  our feet  touch  the floor.

When we move, the backward movement of our foot puts pressure on the floor while the other foot moves forward. Furthermore, when we apply this frictional force to the floor, the floor beneath our feet exerts an equal and opposite force. This is consistent with one law of motion.

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A particle’s position along the x-axis is described by the functionx(t) = A t + B t2,where t is in seconds, x is in meters, and the constants A and B are given below.Randomized VariablesA = -4.9 m/sB = 6.9 m/s2q. Enter expression interms of A,B, t for the velocity of the particle as a function of time? What time will the velocity be zero?

Answers

Given,

The position function is, x(t)=At+bt²

A=-4.9 m/s

B=6.9 m/s²

The velocity is described as the rate of change if the displacement with time.

That is, the velocity is the time derivative of the displacement.

Therefore on differentiating the given function with respect to the time, we get the expression for the velocity.

i.e.,

[tex]\begin{gathered} v(t)=\frac{d(At+Bt^2)}{dt} \\ =A+2Bt \end{gathered}[/tex]

Therefore the expression for the velocity is A+2Bt

To know at what time the velocity will be zero,

[tex]A+Bt=0[/tex]

On simplifying the above equation,

[tex]t=\frac{-A}{B}[/tex]

On substituting the known values in the above equation,

[tex]t=\frac{-(-4.9\text{ )}}{6.9}=0.71\text{ s}[/tex]

Therefore the velocity will be zero at 0.71 s

Predict what will happen when the bicep muscle exerts force on the lower arm bone.

Answers

Answer:

the soft drink will be elevated by the lower arm

Explanation:

firstly, muscles can only pull on bones to cause movement so if the bicep applies force on the lower arm bone, it will pull it up.

an archer shoots an arrow toward a 300-g target that is sliding in her direction at a speed of 2.15 m/s on a smooth, slippery surface. the 22.5-g arrow is shot with a speed of 42.0 m/s and passes through the target, which is stopped by the impact. what is the speed of the arrow after passing through the target?

Answers

24.46 m/s is the speed of the arrow after passing through the target.

p=mv

Conservation of momentum: m1v1=m2v2

The target has a mometum of -(.3kg)(2.15m/s)

the arrow has a mometum of (.0225kg)(42.0m/s)

After impact the mometum of the target is 0 Ns since its velocity is zero.

After impact the velocity of the arrow can be determined with conservation of momentum calculations.

Δp(arrow)=-Δp(target)

m(arrow)v(arrow)i+m(target)v(target)i=m(arrow)v(arrow)f+m(target)v(target)f

(.0225kg)(42.0m/s)-(.3kg)(2.15m/s)=(.0225kg)vf(arrow)

the final velocity of the arrow should be equal to((.0225kg*42.0m/s)-(.3kg*2.15m/s))/.0225kg

v(arrow) final = 24.46 m/s

What is momentum?Momentum is a quantity  used to describe the state of motion of an object with  non-zero mass. Therefore momentum can be applied to any moving object. If

       m  is the mass of a body and v is the velocity  of that body, the impulse momentum  can be expressed as  p=m.v

Since velocity is considered  a vector, momentum is also considered a vector. This means that the impulse has a significant magnitude and direction—an impulse indicated by a vector or  arrow. For example, if a ball of a certain mass moves with a certain speed, it has momentum. When the ball hits the wall, it stops and thus carries its momentum over the wall. Therefore momentum is always conserved.

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a window-mounted air conditioner removes 3.5 kj from the inside of a home using 1.75 kj work input. how much energy is released outside and what is its coefficient of performance?

Answers

The amount of heat released outside is 3.5 kJ and the coefficient of performance is 2.

What is efficiency of a machine?

The efficiency of the a machine or any device is the measure of effectiveness of the device. Efficiency describes how a machine converts input energy to output energy without wasting much of the input energy.

Mathematically, efficiency of a machine is given as;

E = output energy / input energy  x 100%

The coefficient of performance  (COP) of a heat pump, refrigerator or air conditioning system is a ratio of useful heating or cooling provided to work required.

The energy released outside = 3.5 kJ

COP = 3.5 kJ / 1.75 kJ

COP = 2

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A river has current of 4 m/s south with respect to the shore.
A swimmer is swimming in the river (which is redundant).
If the swimmer is swimming 2 m/s north with respect to the water, what is his velocity relative to the shore?
If the swimmer is swimming 3 m/s south with respect to the water, what is his velocity relative to the shore?

PLEASE ANSWER FAST I HAVE TO SUBMIT THIS QUESTION TODAY!!

Answers

The velocity of the swimmer relative to the shore is 2 m/s south by vector addition

What is vector addition ?

Vector addition means putting two or more vectors together. In the addition of vectors, we are adding two or more vectors using the addition operation in order to obtain a new vector that is equal to the sum of the vectors. Vector addition finds its application in physical quantities where vectors are used to represent velocity, displacement, and acceleration.

We can solve this problem by using vector addition.

In fact, we can take north as positive direction, and we can write the following:

vc = - 4m/s is the velocity of the current (which is negative, since it is south)

v s= +2m/s is the velocity of the swimmer (which is positive, since it is north)

Therefore, the velocity of the swimmer relative to the shore is

v = vs + vc = 2+(-4) = - 2m/s

And the negative sign means the direction is south, so the answer is

v = 2 m/s south

The velocity of the swimmer relative to the shore is 2 m/s south by vector addition

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Which vehicle has an acceleration of 5 m/s²?

A a bicycle, when its speed changes from rest to 2.5 m/s in 2s

B a car, when its speed changes from rest to 15 m/s in 5s

C a lorry, when its speed changes from rest to 20 m/s in 15s

D a motorbike, when its speed changes from rest to 50 m/s in 10s

Answers

The vehicle has an acceleration of 5 m/s² -  A motorbike, when its speed changes from rest to 50 m/s in 10s


What is an acceleration ?

Acceleration is the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.

Acceleration is a vector quantity since it has both a magnitude and a direction. A vector quantity is also velocity. The velocity vector change during a time interval divided by the time interval is the definition of acceleration.


All the vehicles have an initial velocity ( u) = 0
A- For bicycle
Final velocity (v) = 2.5m/s    time (t) = 2s
acceleration = 2.5/2 = 1.25m/s2

B- For car
Final velocity (v) = 15m/s    time (t) = 5s
acceleration = 15/5 = 3m/s2

C- For lorry
Final velocity (v) = 20m/s    time (t) = 15s
acceleration = 20/15= 1.33m/s2

D- For motorbike
Final velocity (v) = 50m/s    time (t) = 10s
acceleration = 50/10= 5m/s2


Option D is the correct answer as the motorbike will have an acceleration of 5m/s2.
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