calculate the tension in a horizontal string that whirls a 2kg toy in a circle of radius 2.5 meters when it moves 3m/s on icy surface​

Answers

Answer 1

Answer:

The tension in the horizontal string is 7.2 N

Explanation:

With the assumption that the ice surface has no friction, the tension in the horizontal string is equal to the centripetal force, 'F', acting on the string to keep it in circular motion

[tex]The \ centripetal \ force, \ F = m \times \dfrac{v^2}{r}[/tex]

Where;

m = The mass of the object in the circular

v = The tangential velocity of the object

r= The radius of the circle through whose path the object is moved

The given parameters are;

The mass of the toy that is whirled in a circle by the string, m = 2 kg

The radius of the circle the toy's path turns, r = 2.5 meters

The velocity of the toy at the instant the tension is sought, v = 3 m/s

Therefore, we get;

[tex]The \ centripetal \ force, \ F = 2 \, kg \times \dfrac{(3 \, m/s)^2}{2.5 \, m} = 7.2 \, N[/tex]

The centripetal force, F = 7.2 N = The tension in the horizontal string

∴ The tension in the horizontal string = 7.2 N.


Related Questions

A steel bullet (66.45g) located 103.15 cm above the ground is shot in the horizontal direction. It travels 360.25 cm in the horizontal direction before it hits the ground. Calculate the momentum of the steel ball in the horizontal direction. Enter your results using the measured units, i.e., grams, centimeters and seconds. Use scientific notation for this calculation.

Answers

Answer:

The answer is "[tex]4950 \frac{g\ cm }{s}[/tex]"

Explanation:

Consider vertical component of motion:

[tex]\to s_y=u_yt+ \frac{1}{2} at^2\\\\1.0315=0+\frac{1}{2} \times 9.81 \times t^2\\\\1.0315=\frac{1}{2} \times 9.81 \times t^2\\\\1.0315=4.905 \times t^2\\\\t^2= \frac{1.0315}{4.905}\\\\t=0.207059711\\\\[/tex]

Considering the horizontal components:

[tex]\to v_x=x\times t\\\\[/tex]

[tex]=03.6025 \times 0.207059711\\\\=0.745 \frac{m}{s}\\\\\to p=mv\\\\=66.45 \times0.745 \times 10^2\\\\=4950\ \frac{g\ cm }{s}[/tex]

what is the power output needed from a motor to lift in the absence of friction a mass of 1.5 ×10⁴ kg 25 m in 6.0 s at constant speed​

Answers

Answer:

the power output needed is  61.25 × 10⁴

Explanation:

The computation of the power output needed is shown below;

Given that

m =  1.5 ×10⁴ kg

v = 25m  ÷ 6.0 s

And g = 9.8 m/sec^2

Now based on the above information

p = f × v

= mg × v

= 1.5 ×10⁴ × 9.8 × 25 ÷ 6

= 61.25 × 10⁴

Hence, the power output needed is  61.25 × 10⁴

A long straight wire and a plane rectangular conducting loop are both on the xy plane. The wire is along the y axis, and the loop lies in the x>0 semiplane, with edges parallel to the coordinated axis. The straight wire carries a current, directed downward, which is decreasing in magnitude. The current induced in the rectangle as a result is
a. zero
b. directed leftward in both of the edges parallel to the x axis
c. clockwise
d. counterclockwise
e. directed upward in both of the edges parallel to the y axis

Answers

Answer:

c. clockwise

Explanation:

This is because, the magnetic field, B produced due to the downward flowing current in the straight wire is perpendicular to the plane of the rectangular conducting loop and directed outwards from it.

Since it also decreases as it goes from the top of the loop to the bottom of the loop (and also from left to right since B ∝ 1/r), there is a change in magnetic flux which is negative, and thus and induced emf or current is generated to oppose this change in magnetic flux which is generating the current according to Lenz's law. To generate a magnetic field in the opposite direction to that due to the straight wire, a current flowing in the clockwise direction must be generated in the loop.

So the answer is C. clockwise.

What question can a student BEST answer when comparing and contrasting the models?

A.
How does each model affect the temperature of a substance?

B.
How does temperature affect the rate of reaction of a substance?

C.
How does temperature affect the phase of matter of a substance?

D.
How does the phase of matter affect the temperature of a substance?

Answers

Answer:

A. how dose each model effect the temperature of a substance

Explanation:

Which of the following is true about scientific knowledge?
OA. It can be changed as new information becomes available.
OB. It cannot be changed under any circumstances.
OC. It can be changed only if all scientists approve the change.
OD. It can be changed without information that supports the change.

Answers

The true statement about scientific knowledge is it can be changed as new information becomes available.

option A

What is scientific knowledge?

Science is a dynamic process, and scientific knowledge is continually evolving as new data and evidence are discovered.

Scientific theories and hypotheses are constantly being tested and refined, and they can be modified or even rejected if new evidence contradicts them.

This is one of the key features of the scientific method - that it is self-correcting and always open to revision based on new evidence.

Thus, the true statement about scientific knowledge is it can be changed as new information becomes available.

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2. Oscar walked to the milktea house for a snacks. He walk 2 kilometers
east, 2 kilometers south, and 2 kilometers west. What distance did he
cover? What was the displacement?

Answers

The distance Oscar covered was 6km while the displacement was 2km.

What is Displacement?

Displacement is defined as the vector whose length is the shortest

distance from the initial to the final position of a point M.

Distance = Total length of space between points

              = 2km+ 2km+ 2km = 6km.

Displacement = 2km.

This is because it is the shortest  distance from the positions in this

scenario.

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A refrigerator is 1.8m tall, lm wide,and 0.8m deep.The center of mass is lm from the bottom, 0.5m from the side, and 0.6m from the front. it weighs 1300N. When pushing it back into its position in the kitchen, you must push on the front side. If you push horizontally from a height of 1.5m above the bottom, what is the maximum pushing force you can exert to avoid tipping the refrigerator

Answers

Answer:

  F = 520 N

Explanation:

For this exercise the rotational equilibrium equation should be used

          Σ τ = 0

Let's set a reference system with the origin at the back of the refrigerator and the counterclockwise rotation as positive. On the x-axis it is horizontal directed outward, eg the horizontal y-axis directed to the side and the z-axis vertical

Torque is

             τ = F x r

the bold indicate vectors, we analyze each force

the applied force is horizontal along the -x axis, the arm (perpendicular distance) is directed in the z axis,

The weight of the body is the vertical direction of the z-axis, so the arm is on the x-axis

                 -F z + W x = 0

                 F z = W x

                 F =  [tex]\frac{x}{z}[/tex]  W

             

The exercise indicates the point of application of the force z = 1.5 m and the weight is placed in the center of mass of the body x = 0.6 m, we are assuming that the force is applied in the wide center of the refrigerator

let's calculate

                 F = 1300 0.6 / 1.5

                 F = 520 N

Two resistors 5 ohm's each can be combined to give an equivalent resistance of​

Answers

Answer: 10 Ω or 2.5 Ω

Explanation:

In series resistance R = 5 Ω + 5 Ω =10 Ω. If resistors are parallel, resistance is

1/R = 1/5Ω+ 1/5Ω and R = 2,5 Ω

what is Newton's second law ​

Answers

Newton's Second Law of Motion states "The rate of change of momentum of a body is directly proportional to the applied unbalanced force in the direction of force".

a pool and stops at the
Which best describes his
motion?
A. Linear
B. Projectile
C. Vibrational

Answers

In Linear motion the swimmer swims

Answer: A

Explanation: Linear motion.

a car is travelling at 18m/s accelerates ti 30m/s in 3seconds. what's the acceleration of the car​

Answers

[tex] \Large {\underline { \sf {Required \; Solution :}}}[/tex]

We have

Initial velocity, u = 18 m/sFinal velocity, v = 30 m/sTime taken, t = 3 seconds

We've been asked to calculate acceleration.

[tex]\qquad \implies\boxed{\red{\sf{ a = \dfrac{v-u}{t} }}}\\[/tex]

a denotes accelerationv denotes final velocityu denotes initial velocityt denotes time

[tex] \twoheadrightarrow \quad \sf {a = \dfrac{30-18}{3} \; ms^{-2} } \\ [/tex]

[tex] \twoheadrightarrow \quad \sf {a =\cancel{ \dfrac{12}{3} \; ms^{-2} }} \\ [/tex]

[tex]\twoheadrightarrow \quad \boxed{\red{\sf{ a = 4 \; ms^{-2} }}}\\[/tex]

Therefore, acceleration of the car is 4 m/.

A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0.800 m and a mass of 6.00 g . What is the frequency f1 of the string's fundamental mode of vibration

Answers

Answer:

the frequency of the fundamental mode of vibration is 199.6 Hz

Explanation:

Given;

tension of the piano wire, T = 765 N

length of the steel wire, L = 0.8 m

mass of the steel wire, m = 6.00 g = 6 x 10⁻³ kg

The frequency of the fundamental mode of vibration is calculated as;

[tex]f_o = \frac{1}{2l} \sqrt{\frac{T}{\mu} }[/tex]

where;

μ is the mass per unit length  [tex]= \frac{6.0 \times 10^{-3}}{0.8} = 7.5 \times 10^{-3} \ kg/m[/tex]

[tex]f_o = \frac{1}{2l} \sqrt{\frac{T}{\mu} } \\\\f_o = \frac{1}{2\times 0.8} \sqrt{\frac{765}{7.5 \times 10^{-3}} } \\\\f_o = 199.6 \ Hz[/tex]

Therefore, the frequency of the fundamental mode of vibration is 199.6 Hz

H2O + CO2 = H2CO3 When you breathe more rapidly, the concentration of CO2 in your blood decreases. How would this affect the concentration of H2CO3?
A. It would increase it.
B. More information is needed to assess how it would be affected.
C. it would remain stable.
D. it would decrease it.​

Answers

H2O + CO2 = H2CO3 When you breathe more rapidly, the concentration of CO2 in your blood decreases. How would this affect the concentration of H2CO3?

IT WOULD INCREASE IT!

Answer:

As it combines with water, it forms carbonic acid, making the blood acidic. So CO2 in the bloodstream lowers the blood pH. When CO2 levels become excessive, a condition known as acidosis occurs.

A barometer reads 780 mm Hg. Mercury has a density of 1.36 x 10^4 kg /m^3.
What is the pressure of the atmosphere in N / m^2?
A 1.1 x 10^4 N/m^2
B 1.1 x 10^5 N/m^2
C 1.1 x 10^7 N/m^2
D 1.1 x 10^8 N/m^2
How do we get to the answer? According to the mark scheme, it's B.

Answers

Answer:

B

Explanation:

Pressure = density × g × height

[tex]p \: = (1.36 \times {10}^{4} )(10)(780 \times {10}^{ - 3} ) \\ p = 1.1 \times {10}^{5} [/tex]

The pressure of the atmosphere, when a barometer reads 780 mm Hg.    Mercury which a density of 1.36 x 10^4 kg /m^3 is B 1.1 x 10^5 N/m^2

This problem can be solved using the formula below

P = dgh................. Equation 1

Where P = Pressure of the atmosphere, d = density of the mercury, h = height of the mercury, g = acceleration due to gravity.

From the question,

Given: d = 1.36×10⁴ kg/m³, h = 780 mm = 0.78 m,

Constant: g = 10 m/s²

Substitute these values into equation 1

P = (1.36×10⁴)(10)(0.78)

P = 10.608×10⁴ N/m²

P ≈ 1.1×10⁵ N/m²

Hence the right answer is B. 1.1×10⁵ N/m²

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Two blocks, one of mass M and one of mass 3M, are connected by a massless string over a pulley that is a uniform disk of mass 2M and moment of inertia MR^2. The two masses are released from rest, and the masses accelerate as the pulley rotates. Assume there is negligible friction between the pulley and the axle. What is the linear acceleration, a, of the masses?

Answers

Answer:

4.9 m/s²

Explanation:

Let T be the tension in the string

If a is the linear acceleration in the direction of the 3M mass, the equation of motion on the 3M mass is

3Mg - T = 3Ma  (1)

Since the mass M moves upwards, its equation of motion is

T - Mg = Ma      (2)

From (2)

T = Ma + Mg

substituting T into (1), we have

3Mg - (Ma + Mg) = 3Ma

3Mg - Ma - Mg = 3Ma

collecting like terms, we have

3Mg - Mg = 3Ma + Ma

2Mg = 4Ma

dividing both sides by 4M, we have

2Mg/4M = 4Ma/4M

g/2 = a

a = g/2

Since g = 9.8 m/s²,

a = 9.8 m/s²/2

a = 4.9 m/s²

The linear acceleration 'a' of the masses M and 3M is; a = 4.9 m/s²

We are told that;

Mass of first block = M

Mass of second block = 3M

Let the tension in the strings be T.

Now for first block we can write;

T - Mg = Ma - - - (1)

For second block, we can write;

3Mg - T = 3Ma - - - (2)

Where a is linear acceleration of the masses.

Let us add eq 1 to eq 2 to get;

T - Mg + 3Mg - T = Ma + 3Ma

2Mg = 4Ma

M will cancel out to get;

2g = 4a

Using division property of equality by dividing both sides by 2 to get;

g = 2a

Thus;

a = g/2

Where g is acceleration due to gravity = 9.8 m/s²

Thus;

a = 9.8/2

a = 4.9 m/s²

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A ball rolls off an 8.0 m high building and strikes the ground 5.0 m away from the base of the building. How fast was the ball rolling?

Answers

Answer: horizontal speed is 3.9 m/s

Explanation: when ball starts to drop, its vertical speed v0 is zero.

We can calculate dropping time from s = v0t +0.5gt².

Dropping time t= √(2s/g)= √((2·8.0 m)/9.81 m/s²)= 1.277 s

Because ball travels horizontal distance s= 5.0 m

HorizontalSpeed v = s/t = 5.0 m/1.277s= 3,915 m/s

Personally, do you think you will benefit from the discoveries of Archimedes’ and Pascal’s Principles? How?

Answers

Answer:

whats the question

Explanation:

The circuit is protected by a ground fault interrupter in the plug. The water in the tank is grounded. The two bare wires correspond to the two pins on the ground fault interrupter plug. If the __________ wire is touched to the water, the ground fault interrupter will disconnect the circuit. Select the best answer from the choices provided. View Available Hint(s) Select the best answer from the choices provided. Neutral Hot Ground

Answers

Answer:

Hot

Explanation:

GFI or GFCI This device protected from collecting the electric shocks arise from the faults in the electric devices that are used at home. It would be work by comparing the current on the input side that shows the hot side to the current on the outside side that shows the neutral side

In the case when hot wire give 120 VAC current source while on the other hand the neutral wire gives the return path that are given by the hot wire

Hence, the hot would be the answer

give an example of a linear device and a non linear device​

Answers

Answer:

The example of the nonlinear element is a diode and some of the nonlinear elements are not there in the electric circuit is called a linear circuit. Some other examples of the non-linear elements are transistors, vacuum tubes, other semiconductor devices, iron core inductors, and transformers.

Explanation:

PLEASE HELP ME WITH THIS

Answers

Answer:

Air masses tend to move from west to east.

For each of the following scenarios, describe the force providing the centripetal force for the motion: (Be very specific, and give some reasoning to your answer.) a. a car making a turn b. a child swinging around a pole c. a person sitting on a bench facing the center of a carousel d. a rock swinging on a string e. the Earth orbiting the Sun.

Answers

Answer:

a) tires rubbing, b) the weight has a component parallel to the floor

c) he child's back support, d)  The tension of the rope and weight

Explanation:

In this exercise, we are asked to indicate the origin of the forces for the centripetal movement  parallel to the rope,  e) gravitational force

a) When a car turns, the centripetal force has two origins

* The tires rubbing against the road

* If the road has a lean angle, the component of the weight directed towards the center of the circle also contributes to the centripetal force.

b) the child in general has some degree of inclination with respect to the post, for which the weight has a component parallel to the floor that is responsible for the centripetal movement of the system

c) The bench rotates together with the carousel, so the child's back support is the response to the centripetal force

d) The tension of the rope has two components: the component perpendicular to the movement and the component of the weight (parallel to the rope) the difference of these two forces is the centripetal force

e) The gravitational force of the sun on the earth is what creates the centripetal motion

Question 12 of 34 Which of the following means that an object is slowing down? /13 ယာ O A. Its velocity is decreasing. B. Its acceleration is increasing. O C. Its acceleration is decreasing. O D. Its velocity is increasing.​

Answers

Answer:

A. Its velocity is decreasing

Explanation:

A magnetic field is passing through a loop of wire whose area is 0.014 m^2. The direction of the magnetic field is parallel to the normal to the loop, and the magnitude of the field is increasing at the rate of 0.19 T/s.

a. Determine the magnitude of the emf induced in the loop.
b. Suppose the area of the loop can be enlarged or shrunk. If the magnetic field is increasing as in part (a), at what rate (in m^2/s) should the area be changed at the instant when B = 1.6 T if the induced emf is to be zero? (Give the magnitude of the rate of change of the area.) (m^2/s). Explain whether the area is to be enlarged or shrunk.

Answers

Answer:

a. 0.00266v

b. -0.0016625

the area should be shrunk

Explanation:

the magnitude of the EMF induced in the loop

= area * rate

= 0.014 * 0.19

= 0.00266 V

B we are to solve for the rate at which the are has to be change with B = 1.6

δA/δt = -A/B * dB/dt

= (-0.014 * 0.19) /1.6

= -0.0016625

the sign is negative so the EMT is negative and so the area has to be shrunk.

Part D
How do supersonic flights create sonic boom? Please explain in detail.

Answers

Answer: A sonic boom is a sound associated with shock waves created when an object travels through the air faster than the speed of sound. Sonic booms generate enormous amounts of sound energy, sounding similar to an explosion or a thunderclap to the human ear. The crack of a supersonic bullet passing overhead or the crack of a bullwhip are examples of a sonic boom in miniature. Sonic booms due to large supersonic aircraft can be particularly loud and startling, tend to awaken people, and may cause minor damage to some structures. They led to prohibition of routine supersonic flight over land. Although they cannot be completely prevented, research suggests that with careful shaping of the vehicle, the nuisance due to the sonic booms may be reduced to the point that overland supersonic flight may become a feasible option. A sonic boom does not occur only at the moment an object crosses the speed of sound; and neither is it heard in all directions emanating from the supersonic object. Rather the boom is a continuous effect that occurs while the object is travelling at supersonic speeds. But it affects only observers that are positioned at a point that intersects a region in the shape of a geometrical cone behind the object. As the object moves, this conical region also moves behind it and when the cone passes over the observer, they will briefly experience the boom.

Explanation:

As incredible as the Concorde was, the sonic booms created by its supersonic flights were so disruptive that most countries restricted or completely prohibited the aircraft from flying over land.  The sonic boom, at its worst, would be heard as a very loud thunder clap that was right overhead. The force of the boom rattled windows and loosened roof tiles. But even when the sonic boom sounded like a “softer” distant thunder clap, it was distracting to people and caused disruption of sleep and interruptions in activity. Imagine that you are driving on your way to work, and with clear skies overhead, you suddenly hear the sound of thunder. Your immediate responses are most likely surprise, shock, and an instinctive search for the source. Being caught by surprise in certain situations is rather annoying, and in others, potentially dangerous. In 1964, the FAA and NASA conducted a six-month sonic boom research project in Oklahoma City – without warning residents beforehand. The experiment consisted of eight sonic booms, every day, for six months. 15,000 complaints and a class action lawsuit were filed. The government lost on appeals. Great idea, guys, just brilliant. When the Concorde was originally designed, in the early 1960s, governments and airlines around the world lined up to place orders. The plane did an around-the-world publicity trip, and was well-received. But as awareness of the sonic boom effect grew, almost every country banned the aircraft. Only the US, Great Britain, and France allowed the Concorde to enter their airspace, and then only to cities in close proximity to the ocean – NYC, London, Paris, and Washington, DC. The Concorde was specifically designed for supersonic flight (specifically, Mach 2) and was very fuel-inefficient at subsonic speeds (less than Mach 1). Unfortunately, it was thus not feasible to fly at supersonic speed over water and then at subsonic speed over land.

 

What causes a sonic boom?  

When any object moves, it creates waves in front of and behind it. Think of the waves that a boat creates at its bow and stern. In front, the waves are compressed together as the boat sails forward. Behind, the waves spread out away from the boat. In this case, you only see the waves on the surface of the water, and it appears two-dimensional. Similar principles are at play with aircraft. In front of the nose of a plane, air is pushed together and compressed as the aircraft flies forward. Behind the plane, the air creates waves that radiate out and away in the shape of a cone – three-dimensionally.

Answer:

A sonic boom is caused by the shock waves created when an object travels through the air faster than the speed of sound.

Explanation:

When any object moves, it creates waves in front of and behind it. Think of the waves that a boat creates at its bow and stern. In front, the waves are compressed together as the boat sails forward. Behind, the waves spread out away from the boat. Similar principles are at play with aircraft. In front of the nose of a plane, air is pushed together and compressed as the aircraft flies forward. Behind the plane, the air creates waves that radiate out and away in the shape of a cone – three-dimensionally. Things get interesting, and complicated, when you fly faster than the speed of sound – supersonic flight. The nose of a supersonic aircraft pushes ahead of its forward waves. These waves get in the way of the airplane, causing compression which results in a shock wave. Actually, this creates two shocks, one forming as the aircraft passes the front of the wave and then another as it leaves the wave. The shock wave generated stays mostly behind the aircraft, and radiates out in a cone

in full sen
Explain the following concepts:

(b) communication​

Answers

Answer:

Communication is simply the act of transferring information from one place, person or group to another. Every communication involves (at least) one sender, a message and a recipient. This may sound simple, but communication is actually a very complex subject

1. The nearest distance of distinct vision of
a hypermetropial person is 60 cm. If this
distance is reduced by 20 cm by using
spectacles. What is the nature and focal
length of the lens?
a. +30 cm b. +35 cm
-30 cm
d. -40 cm
c.​

Answers

Answer:

The focal length of the lens is +30 and it is a convex lens.

Explanation:

Given that,

The nearest distance of distinct vision of  a hypermetropial person is 60 cm, v = -60 cm

The distance is reduced by 20 cm, u = -20 cm

We need to find the nature and focal length of the lens.

Let f be the focal length of the lens. Using lens formula,

[tex]\dfrac{1}{v}-\dfrac{1}{u}=\dfrac{1}{f}\\\\\dfrac{1}{f}=\dfrac{1}{(-60)}-\dfrac{1}{(-20)}\\\\f=+30\ cm[/tex]

So, the focal length of the lens is +30 and it is a convex lens.

Which of the following is a true statement for a child's toy spinning in a circle at constant speed?
a) The speed is constant, the velocity is constant, and the angular velocity is constant. b) The speed is constant, the velocity is not constant, and the angular velocity is constant. c) The speed is constant, the velocity is not constant, and the angular velocity is not constant. d) The speed is constant, the velocity is constant, and the angular velocity is not constant.
explain your answer.​

Answers

Answer:

B

Explanation:

I am pretty sure it is B as the speed is obviously constant but the velocity is not constant as it defines as the rate of speed AND DIRECTION meaning that it is not constant as it always changes direction. And angular velocity is constant.

which force acts during projectile motion

Answers

Answer: Gravity

Explanation:A projectile is an object upon which the only force is gravity. Gravity acts to influence the vertical motion of the projectile, thus causing a vertical acceleration. The horizontal motion of the projectile is the result of the tendency of any object in motion to remain in motion at constant velocity.

A 10-kg ball rolls at a rate of 2.98 m/s. What is the kinetic energy of the ball?

Answers

Answer:92

Explanation:

customer complains of an aluminum foil mixed with his salad? what will you do?

Answers

Answer:

offer them a refund or a remake/ replacement of food item whilst apologizing sincerely

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