Mary is traveling at a speed of 35 m/s sees a squirrel run across the road in front of her and slams on the brakes. Four seconds later she has stopped. What is her acceleration?.

Answers

Answer 1

After 4 seconds the velocity function attains a=8.75m/s².

Given-

Velocity= 35m/s

time=4sec

To find out acceleration, we can understand the following-

Acceleration means rate of change of velocity.

In this question the velocity depreciates to zero i.e. the slope of the graph falls off with negative slope.

This value has negative impact on force as the resultant force is outcome of application of brakes where V=0 as time progresses.

Mathematically, [tex]a=\frac{dv}{dt}[/tex]

v- means velocity .

calculations-

a=35/4

a=8.75m/s²

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Related Questions

Johnny drives to Wisconsin (1920 miles) in 32 hours. He returns home by the same route in the same amount of time. Determine his average velocity

Answers

Answer: 60mph

Explanation: He drives to Wisconsin and back so multiply both numbers by 2. Speed=distance divided by t

So 3840 divided by 64 is 60.

11 How far away does a ball land that rolls off a 2 m high table rolling at 9 m/s
a) 5.75 m
b) 10.25 m
c) 13.75 m/s
d) none of the above

*Please Show Equation*
Thank You!

Answers

Answer:

H = 1/2 g t^2      time to fall H

t = (2 H / g)^12 = (2 * 2 / 9.80)^1/2 = .639 sec

Sx = Vx * t = 9 m/s * .639 s = 5.75 m      horizontal distance traveled

(q011) suppose you are studying a visible-light image of a distant galaxy, and you see a dark lane cutting across the bright disk. that dark line is most likely caused by

Answers

The reason some regions of the Milky Way's disk appear dark is because

stars in this direction are obscured by interstellar dust.

Astronomers have observed many different stars at each stage of their formation process. They have moved away from the Sun over the past 4.5 billion years. Location-to-location density variation increases as the cloud collapses. Once a protostar with a mass of less than 0.08 solar mass is formed, its internal temperature never reaches a sufficient level to initiate thermonuclear fusion. This quirky star is called a brown dwarf and sits between a planet (such as Jupiter) and a star. Coalsacks are clouds of interstellar dust about 600 light-years away that block light from the stars from reaching us. It is a type of celestial object called a dark nebula. The "inside" star that can be seen with binoculars is actually closer than the coal sack itself.

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A(n) 1786.9 kg car is coasting along a level
road at 24.7 m/s. A constant braking force
is applied, such that the car is stopped in a
distance of 55 m.
What is the magnitude of the braking force?

Answers

A(n) 1786.9 kg car is coasting along a level road at 24.7 m/s. A constant braking force is applied, such that the car is stopped in a distance of 55 m. The magnitude of the braking force will be 9917.3 N

given

mass = 1786.9 kg

initial velocity = 24.7 m/s

final velocity = 0

distance covered = 55 m

2as = [tex]v^{2} - u^{2}[/tex]

2 * a * 55 = 0 - [tex]24.7 ^{2}[/tex]

a = - 5.55 [tex]m/s^{2}[/tex]

Force = mass * acceleration

          = 1786.9  *  5.55 = 9917.3 N

The magnitude of the braking force will be  9917.3 N

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_____ include any election that signals a significant large-scale change in the popular allegiance of voters from one party to another.

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critical election includes any election that signals a significant large-scale change in the popular allegiance of voters from one party to another.

Since the 17th century, elections have been the primary method used to carry out representative democracy in modern times. Elections may be held to fill positions in the legislative, executive, judicial, and occasionally regional and municipal branches of government. Numerous other private and commercial organizations, including clubs, non-profit organizations, and corporations, also use this procedure.

The practice in the democratic archetype, ancient Athens, where elections were regarded as an oligarchic institution and most political offices were filled using sortition, also known as allotment, in which officeholders were chosen by lot, contrasts with the use of elections as a tool for choosing representatives in modern representative democracies.

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if you were to throw a ball straight ahead (no arc) at the same time as your friend drops a ball, which ball would hit the ground first? why?

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If I throw a ball straight ahead and then my friend drop the identic ball to the ground, so both ball will hit ground together. It happens because the only force act to the both balls vertically is only gravity.

In this experiment, the two balls have different horizontal velocities, but that does not affect the vertical motion. Both balls start with zero vertical velocity, and accelerate at the same rate of gravity.

What is gravity?

Gravity is a force that pulling together all matter. The more matter, the more gravity, so anything that have such a lot of matter like planets, moons, or stars pull more strongly. Gravity also affected by the mass of an object and the distance between objects.

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How can planetary scientists estimate the ages of the outflow channels and valley networks on mars?.

Answers

Planetary scientists estimate the ages of the outflow channels and valley networks on mars by craters

Due to impact of meteorite, volcanic activity, or an explosion , there occurs a depression at a certain area , that is called crater .

Ages of the outflow channel and valley network can be estimated by counting the number of impact craters. Because of the almost constant  rate at which impacts have occurred in the solar system .

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an object is revolving uniformly in a horizontal circle of radius 1.0 m with a speed of 1.0 m/s, calculate its centripetal acceleration. g

Answers

The centripetal acceleration is 1 m/s^2 .

Centripetal force is applied when there is a object revolving in circular path. This path is applied in the opposite direction of the center of the circular path and also this would be perpendicular to the velocity direction.

The value of centripetal force is

Fc = [tex]\frac{mv^{2} }{r}[/tex]

where m is the mass of the object

v is the velocity and r is the radius of the object.

Now as we know that

F = ma

where a is the acceleration

so we can write that

a = v^2/r

putting the values, we get

a = 1^2/1

a = 1/1

a = 1 m/s^2

Hence the centripetal acceleration is 1 m/s^2.

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A 1600kg car is traveling over a hill that has a radius of curvature of 25m. The car is slowing down as it goes over the hill. It slows down at a constant rate from a speed of 25ms to a speed of 10ms over a distance of 50m ending at the top of the hill. The net acceleration of the car at the top of the hill is most nearly.

Answers

The net acceleration of the car at the top of the hill is 6.6 m/s²

According to the question,

Mass of the car, m = 1600 Kg

Final speed of the car = 10 m/s

Distance covered by the car, d = 50 m

Radius of curvature of the hill, r = 25 m

Initial speed of the car, u = 25 m/s

The acceleration of the car is calculated by applying the third equation of motion,

v² = u² + 2as

where, v is the initial speed

            u is the final speed and

            a is the acceleration of the car

2as = v² - u²

a = [tex]\frac{v^{2-u^{2} } }{2a}[/tex]

a =[tex]\frac{10^{2}- 25^{2} }{2 X 50 }[/tex]

a =  - 5.25 [tex]m/s^{2}[/tex]

The centripetal acceleration of the car at the top of the hill is given as,

[tex]a_{c} =\frac{v^{2} }{r\\}[/tex]

[tex]a_{c} =\frac{10^{2} }{25} \\a_{c = 4m/s^{2}[/tex]

The net acceleration of the car at the top of the hill is calculated as;

[tex]a_{net} = \sqrt{a^{2} } +a_{c^{} }[/tex]

[tex]a_{net} = \sqrt{-5.25} ^{2} - 4^{2}[/tex]

      = 6.6[tex]m/s^{2}[/tex]

Thus, the net acceleration of the car at the top of the hill is 6.6 m/s²

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a ferris wheel with a radius of m is rotating at a rate of one revolution every minutes. how fast is a rider rising when his seat is m above ground level?

Answers

Using the concepts of Ferris wheel, we go that the speed of the rider is 2πm /min above ground level if a Ferris wheel with a radius of m is rotating at a rate of one revolution every minutes

The height of the rider at any time  is (x + m) .

From the right triangle

sinθ = x/m ---------------(eq1)

Differentiating both sides with respect to t, we get:

d(sin)/dt= [(1/m)×(dx/dt)]

Using chain rule,

cosθ×(dθ/dt)= [(1/m)×(dx/dt)] -------------(eq 2)

When the height of the rider is  1m.

X = m - m

Then the value of x is  0.

Put the value of x in the equation (I)

Sinθ = 0/m = 0

We need to calculate the value of (dθ/dt)

A Ferris wheel makes 1 revolution per minute.

 (dθ/dt)= 2π

Now, substitute the value of sinθ and  (dθ/dt) in equation (II)

√1-0 x 2π= [(1/m)×(dx/dt)]

dx/dt =2πm

Hence, if a Ferris wheel with a radius of m is rotating at a rate of one revolution every minutes, the speed of rider rising when his seat is m above ground level is to be 2πm meters /sec.

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a resistor dissipates 1.5 w when it is connected to a battery with a potential difference of 12 v. what is the resistance of the resistor?

Answers

Answer:

96 Ω

Explanation:

Power = V^2 / R

1.5     =   12^2 / R

R = 12^2 / 1.5 = 96 Ω

star a's luminosity is four times greater than star b's. both stars have the same surface temperature. which star is larger?

Answers

If the star a's luminosity is four times greater than star b's and both stars have the same surface temperature, the star a is larger.

L =  4 π σ [tex]T^{4}[/tex]

l = Luminosity

σ = Stefan-Boltzmann constant

T = Surface temperature

R = Radius

For star A,

L =  4 π σ [tex]T^{4}[/tex] R²

R = √ ( L / 4 π σ [tex]T^{4}[/tex] )

For star B,

L' = L / 4

L / 4 =  4 π σ [tex]T^{4}[/tex] R'²

R' = √ 1 / 4 √ ( L / 4 π σ [tex]T^{4}[/tex] )

R' = 1 / 2 R

The star B's radius is half the value of star A.

Therefore, the star A is larger than star B.

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Which method would be most helpful in locating the center of gravity of an object?.

Answers

Plumb line technique, is method would be most helpful in locating the center of gravity of an object.

To calculate the center of gravity of an object, we need to sum the weights multiplied by the distance from the starting point and divide by the total weight of the object.

CG = (aM + bN + cP)/(M + N + P)

Plumb line technique:

When a object is freely suspended, its center of gravity is always directly below the suspension point. A plumb bob is a heavy weight attached to a string that hangs perpendicular to the ground. The line drawn is vertical and passes through the object's center of mass. Repeat this process to pick another attachment point and draw a line along the second vertical line. The centroids of all these objects are at the intersection of the vertical lines. The intersection of two or more vertical lines from a vertical line is the centroid of the object.

If an object is symmetrical and uniformly dense, it is easy to guess its centroid.

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The ability of a covalently bonded atom to attract the shared electrons is called.

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Electronegativity is the capacity of a covalently connected atom to draw the shared electrons.

The capacity of an atom to draw the shared electrons from a covalent connection to itself is known as electronegativity. If the electronegativity of the linked atoms is the same, then the shared electrons will be distributed evenly. The electrons in a bond will not be distributed evenly if one of the atoms is more electronegative and hence attracts more of the bond's electrons. The more electronegative atom will "take" the electrons, resulting in two ions and an ionic connection, if the difference in electronegativity is great enough to prevent any sharing of the electrons.

Think of a tug-of-war match. The rope remains in the middle if the two teams are of equal strength. The rope is tugged in the direction of the team that is more powerful. The rope eventually ends up on the side of the stronger team if one team is much stronger than the other. If this happens, the weaker team is no longer able to hold onto the rope. Chemical bonding are comparable to this. The electrons are shared evenly if the electronegativity of the two bonding atoms is equal. The bond's electrons are more drawn to an atom if it has a higher electronegative charge. The electrons won't be shared, leading to an ionic bond, if one atom is much more electronegative than the other atom.

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5. What is the formula for Newton’s Second Law?

Answers

Answer:

F=ma ( Force=Mass x Acceleration)

Explanation:

Answer: F = M*A

Explanation:   F= force M= mass of an object A=acceleration

What is the average speed of my bunny rabbit when she hops 6 meters to the east across the room in 11seconds? Express your answer using the proper SI units. Round your answer to two decimal places, and include a direction if necessary.

Answers

0.54 m/s is the average speed of my bunny rabbit when she hops 6 meters to the east across the room in 11seconds.

speed = distance/time

speed =6/11

speed =0.54 m/s

velocity (often abbreviated as "s") is a scalar variable that describes how a lot an object's place modifications over time or how lots it adjustments in step with unit of time. The common velocity of an object in a time frame is the distance traveled by using the object divided with the aid of the length of the duration.

Time divided via distance are the velocity-related metrics.. The meter in line with 2nd (m/s) is the SI unit of pace, even as the kilometer in step with hour (kph) is the most customarily used unit of pace in every day lifestyles.

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If a person is pushing against a stationary wall with a force of 20 n, what force is being exerted back on the person?.

Answers

If a person is pushing against a stationary wall with a force of 20N, then the force of same magnitude will be exerted back on to the person by the wall.

What is Force?

Force is the external agent which is capable of changing an object's state of rest or motion. A force can be a push or a pull. It has both the magnitude and direction.

According to Newton's third law of motion, forces always acts in equal but opposite pairs. This law can also be defined as for every action, there is an equal but opposite reaction. It means that when a person pushes on a wall with a force of 20N, the wall pushes back on the person with a force equal in strength to the force which is exerted i.e., 20N but opposite in direction.

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You are seated in a bus and notice that a hand strap that is hanging from the ceiling hangs away from the vertical in the backward direction. From this observation, you can conclude that.

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From this observation, You cannot conclude anything about the direction of the velocity of the bus.

The fact that the hand strap moves backward from vertical is assumed.

The direction of the strap depends on the velocity of the bus; if the bus is moving faster in one direction, the strap will move faster in the opposite direction.

The strap is bent backwards by the pseudo-action on it, which is the cause of the movement backwards.

angle of inclination is given by Tan∅  = α/g

where a=bus acceleration

∅ = inclination of strap with respect to vertical

Consequently, we are unable to draw any conclusions about the velocity of the bus direction of motion.

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a 4.50-kg object moves through a distance of 13.8 m as it slows down uniformly from 22.0 m/s to 13.5 m/s. what is the magnitude of the acceleration of the ball?

Answers

The magnitude of the acceleration of the ball is 25.3 m/s²

Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.

Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.

Calculation:-

v² = u² -2as

13.5² = 22² - 2a × 13.8

1182.25 - 484 = - 27.6a

698.25/27.6 = -a

a = - 25.3 m/s²

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if the capacitor and inductor in part a are connected in an l-c circuit, what will be the resonance angular frequency of that circuit?

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If the capacitor and inductor in part a are connected in an l-c circuit,  the resonance angular frequency of that circuit isThe energy transferred in an oscillatory manner between the capacitor and inductor in an LC circuit occurs at an angular frequency ω=[tex]\sqrt{1LC}[/tex] ω = 1 L C .

What is Angular frequency?

The length of time it takes an item to complete one oscillation is called the time period.The shortest angle an item makes when spinning in a circle from its starting location to its stopping position is known as the angular displacement.In other terms, you may say that it is the rate at which rotation changes or the pace at which changes in sinusoidal waves occur. It is the angular displacement of a wave element per unit of time. For instance, if you describe an object as having a high angular frequency, you are describing how quickly it turns. The size of the angular velocity is known as the angular frequency.

However, it is a scalar quantity, meaning that it lacks direction.

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calculate the reynolds numbers for the flow of water through a garden hose with a radius of 0.900 cm, when the nozzle is attached to the hose. the flow rate through the hose is 0.500 l/s.

Answers

35820 is Reynold's number which thereby also is greater than 2000 making the flow turbulent

Reynold’s number is the magnitude of inertial forces upon coefficient of viscosity i.e. viscous forces  present in the fluid that is put through movement within the fluid due to various fluid velocities.

Re = 2ρvr / η ------- Equation 1

Here ρ = density of water = 1000 kg/m³

η = coefficient of viscosity of water = 1.005 x 10⁻³

r = 0.9 cm = 0.9 x 10⁻² m

For v

v = Q(Flow rate) / A(area)

Q = 0.5 L/s = 0.0005 m³/s

A = πr² = 3.14 x (0.9 x 10⁻² )² => 2.54 x 10⁻⁴m

v = 0.0005 / 2.54 x 10⁻⁴

≅ 2 m/s

Putting all the values in equation 1

Re = 2 x (10³) x (2) x ( 0.9 x 10⁻²) / 1.005 x 10⁻³

≅ 35820

∴ Re > 2000, The flow is not laminar.

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Laminar flow requires a Reynolds number lower than 2000.

When considering a fluid in motion, the flow of the fluid is referred to as laminar flow if it exhibits a streamlined and smooth flow rather than fluctuations that are erratic and chaotic. In the beginning, Irish innovator Osborne Reynolds categorized fluid flow as turbulent or laminar.

First, use the expression for the fluid's flow rate Q in terms of tube area A and the velocity of the flowing fluid v to calculate the velocity of the fluid v. As a result, the expression comes from,

Q = Av

v = Q/A

The only way to possibly achieve laminar flow through the hose or the nozzle would be to significantly reduce the flow rate to a level below the Reynolds number of 2000.

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Is rebel a synonym or antonym of the word conform

Answers

‘Rebel’, is the antonym of the word ‘Conform’.

Macro put a pot of water on eggs. Half an hour later, he returned to find the pot dry. This is an example of.

Answers

Macro put a pot of water on eggs. Half an hour later, he returned to find the pot dry. This is an example of vaporization.

In the field of science, vaporization can be described as a process by which the liquid can be evaporated to a gaseous phase.

Vaporization can occur either due to boiling or evaporation.

In the situation above, as Macro has put a pot of water in eggs. As he kept the water on boiling for half an hour, the liquid water evaporated and changed into gaseous form.

As a result, all the water dried from the pot. This process is an example of vaporization.

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in young's two slit experiment a beam of light from a slit reaches at a point on the screen one wavelength behind the wave from the otherslit. what is observed on the screen at that point?

Answers

Option A.  Dark fringe observed on the screen at that point

The double-slit experiment is an illustration that mild and count can display characteristics of each classically defined wave and particle; moreover, it presents the basically probabilistic nature of quantum mechanical phenomena.

Younger's experiment became primarily based on the speculation that if light were wave-like in nature, then it have to behave in a manner much like ripples or waves on a pond of water. wherein opposing water waves meet, they have to react in a particular manner to either toughen or damage every other.

for destructive interference

path difference = dx

dx = (m+1/2)*lambda

here path difference = 3/2 lambda

so here path difference is multiple of 1/2 so there is destructive interference

so there will be a dark fringe.

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Disclaimer:- your question is incomplete, please see below for the complete question.

in young's two-slit experiment a beam of light from a slit reaches at a point on the screen one wavelength behind the wave from the other slot. what is observed on the screen at that point?

A. Dark fringe

B. An empty space

C. Bright - dark fringe

D. Dark bright fringe

E. Bright fringe

a 75 kg road bicycle racer rides down the highway from pikes peak. during one stretch of the ride, he descends 5 meters in 12.5 seconds, while accelerating from 35 km/hr to 55 km/hr. assuming rotational kinetic energy and dissipative forces to be negligible, what average power is supplied by the gravitational force during this time?

Answers

The average power supplied by the gravitational force during this time is 21717 Watt.

The mass of the road bicycle racer riding down the highway is 75kg.

The height through which he descends is 5 meters and the time taken by it is 12.5 seconds, the initial velocity of the bicycle is 35km/h(9.7m/s) and the final velocity of the bicycle is 55 km/h(15.27m/s).

The acceleration applied due to earth on the bicycle can be found as,

V²-U² = 2aS

V is the final velocity,

U is the initial velocity,

a is the acceleration created due to earth,

s is the height of the bicycle.

Putting values,

(15.27)²-(9.7)² = 2(a)(5)

a = 13.9m/s².

Now, the work done by the earth on the bicycle is,

W = 75(13.9)(5)

W = 267712.5 Joules.

The power supplied = Work done/time

Power supplied = 21717 Watt.

So, the power supplied by earth is 21717 Watts.

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what is the lift (in newtons) due to bernoulli's principle on a wing of area 83 m2 if the air passes over the top and bottom surfaces at speeds of 290 m/s and 180 m/s , respectively?

Answers

Bernoulli's principle states that a wing with an area of 83 m² will experience a lift of 2767767.8 N when air moves over its top and bottom surface with velocities of aircraft 290 m/s and 180 m/s, respectively.

Bernoulli's principle is used to safely engineer the fluid flow within and around airplanes, engines and healthcare delivery devices by making sense of a fluid dynamics phenomenon. Bernoulli's principle connects a fluid's pressure to its speed.

The equation of Bernoulli's principle can be written as

P₁ + 1/2 p (v₁)² = P₂ + 1/2 p (v₂)²

P₁ - P₂ = 0.5* 1.29* 290² - 0.5* 1.29* 180² = 54244.5 - 20898 = 33,346.6

We know that, Pressure = Force/ Area

Force = Pressure * Area = 33,346.6* 83 = 2767767.8 N

Thus, the lift on the wing is 2767767.8 N.

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A stone p,thrown upward with an velocity 20m/s.At the sametime and 30m vertical above, a second stone is released. After what time and at what height do they collide(g=10ms‐²)​

Answers

The time and height at which they collide at 1 second and 15 m respectively when the stone is thrown upward with a velocity of 20m/s.

Let ball A be at the bottom and ball B be at the top.

Assume that you are sitting at B and watching A move.

You (B) appear to be content with yourself. However, both you (B) and A are accelerating in the same general direction. So, the acceleration of A relative to you (B) is 0.

As a result, A will appear to be approaching you uniformly moving at 20 m/s toward you.

A reaches you (B) in 1 second if the distance of 20 meters is divided by that speed.

Now that you have assumed you were stationed at B, you have thought about these motions and time. However, whichever reference frame you use, the time it takes for A to reach B shouldn't vary.

The collision between A and B occurs in 1 second.

Assuming g = 10 m/s2,

B falls freely and travels a distance of 1/2(g)([tex]1^{2}[/tex])=5.

They thus collide at a height of (20-5)m, or 15m, above the earth.

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q5: suppose the air track was tilted during the experiment. would momentum be conserved in the collision? why or why not?

Answers

According to the given statement No, momentum is not conserved on a tilted track.

What does the word "momentum" mean?

Momentum can be viewed as a body's "power" while it is moving, or the amount of force it can exert on another body. For instance, a baseball (small mass) thrown quickly can have the same momentum as a bowling ball (big mass) going extremely slowly (low velocity) (high velocity).

What is the momentum unit?

Therefore, the Newton-second can be used as the unit measuring momentum (Ns). In the CGS system, the unit of momentum is the gram-centimeters per second (gcm/s), where the mass is measured in grams and the speed in centimeters per second.

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What minimum height h must the track have for the marble to make it around the loop-the-loop without falling off?.

Answers

The minimum height of the loop without falling it off is 2.7(R-r).

What is height?

height is the measurement of someone or something .

Sol-It is given that capital art Israelis of loop. The loop. Small M. Is the mass of the marble. Small art is radius of the marble. We have to find minimum height edge. The track must have for the marble to make it around the loop. The loop without falling off coming to the solution. We have art is radius of solid marvel. Capital art is radius of circular, loop. Track moment of inertia of this is all in I is equal to two divided by five M. R squared. Thank you lad velocity of the marvel is equal. Do your makeup when the slides down the incline plane and regis the top of the loo. Let this be equation to and let this be equation three gain in potential energy related to center of mass is equal to mg. Multiplied by to capital R minus smaller. Let this be equation four. From law of conservation. Oh Nrg we have Equation one is equal to equation too plus equation three plus equation four substituting we have M G multiplied by H plus R is equal to half M V squared plus half I omega squared plus MG multiplied by two R -R. M G multiplied by H plus R. Is equal to half M B squared plus half. Multiplied by two divided by five M R squared. Omega square plus MG.

Hold square plus M G. Multiplied by two R minus R divide M G. On both sides we have H. Plus art Is equal to seven divided by 10, multiplied by R -R. Plus to r minus R. H plus odd as it will do 2.7 R -1.7 are therefore H is equal. Do 2.7 multiplied by R -R. Hence it can be concluded that height of the track. H is equal to 2.7 multiplied by R -R.

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How much energy is needed to change the temperature of 60. 0 g of water by 25. 0oc?.

Answers

349.65 J energy is needed  to change the temperature of 60. 0 g of water by 25. 0oc

molar mass of [tex]H_{2}O[/tex] = 18 g /mole

no. of moles = 60 / 18 = 3.33 moles

total heat energy required = n * [tex]C_{p}[/tex] *ΔT

                                    = 3.33 * 4.2 J /g / ° C * 25 = 349.65 J

349.65 J energy is needed  to change the temperature of 60. 0 g of water by 25. 0oc

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