a student connects an object with mass m to a rope with a length r and then rotates the rope around her head parallel to the ground. the object takes 0.5 seconds to complete one rotation.
mass= 50 kg. length of the rope = 1.2 m
what is the objects speed of rotation?
what is the objects centripetal acceleration?
what tension force is required to maintain this motion?​

Answers

Answer 1

The object takes 0.5 seconds to complete one rotation, so its rotational speed is 1/0.5 rot/s = 2 rot/s.

Convert this to linear speed; for each rotation, the object travels a distance equal to the circumference of its path, or 2π (1.2 m) = 2.4π m ≈ 7.5 m, so that

2 rot/s = (2 rot/s) • (2.4π m/rot) = 4.8π m/s ≈ 15 m/s

thus giving it a centripetal acceleration of

a = (4.8π m/s)² / (1.2 m) ≈ 190 m/s².

Then the tension in the rope is

T = (50 kg) a9500 N.


Related Questions

A student has a rectangular block. It is 2 cm wide, 2 cm tall, and 25 cm long. It has a mass of 600 g. First, calculate the volume of the block. Then, use that answer to determine the density of the block. *


Answers

Answer:

6g/cm³

Explanation:

Density is the mass per unit volume of any substance. To solve this problem:

   

   Density  = [tex]\frac{mass}{volume}[/tex]  

 Since mass = 600g

Let us find the volume;

    Volume  = length x width x height

   Volume  = 25cm x 2cm x 2cm  = 100cm³  

Therefore;

         Density  = [tex]\frac{600}{100}[/tex]    = 6g/cm³

Does Newton’s 1st Law of Motion apply to sports

Answers

Answer: Yes indeed it does.

Explanation: Newton's Three Laws of Motion explain how forces create motion in sport. These laws are usually referred to as the Laws of Inertia, Acceleration, and Reaction. maybe brainliest to level up.

explain how electrically neutral objects can become electrically charged even though charge cannot be created or destroyed

Answers

Answer:

The object gains or loses electrons to become charged. Both are a movement of electrons from the negative to the positive charge. A circuit has a continuous current provided by a voltage source.

Explanation:

A simple pendulum is constructed by hanging a 3 kg mass on the end of a 0.8 m long string. The pendulum is pulled back to a height of 0.2 m and released. At what time will the mass first reach its maximum velocity

Answers

Answer:

The time when the mass will reach its first maximum velocity  is 1.8 s.

Explanation:

Given;

mass of the pendulum, m = 3 kg

length of the pendulum, l = 0.8 m

height in which the pendulum is raised to, h = 0.2 m

the mass will reach its first maximum velocity when it returns to its initial position, i.e at the middle (x = 0).

the distance between the initial position of the pendulum and the height in which it is raised is the maximum displacement (A).

If we form a right angle triangle with respect to the height in which the pendulum is raised;

the height of the right triangle, H = L - 0.2 = 0.8 - 0.2 = 0.6 m

the hypotenuse side, = L = 0.8 m

the base of the triangle (opposite side) = A

A² = L² - H²

A² = (0.8)² - (0.6)²

A² = 0.28

A = √0.28

A = 0.529 m

The maximum velocity of the pendulum is calculated as;

[tex]V_{max} = A \omega\\\\V_{max} = A \sqrt{\frac{g}{l} } \\\\V_{max} = (0.529)\sqrt{\frac{9.8}{0.8} }\\\\V_{max} = 1.852 \ m/s[/tex]

The period is calculated as;

[tex]V_{max} = A\omega\\\\V_{max} = A (\frac{2\pi}{T} )\\\\T = \frac{2\pi A }{V_{max}}\\\\T = \frac{2\pi \ \times \ 0.529}{1.852} \\\\T = 1.8 \ s[/tex]

Therefore, the time when the mass will reach its first maximum velocity  is 1.8 s.

Which title goes with this list: Amendments Articles Preamble?
A. Florida and County Government
B. Florida and U.S. Government
C. City and County Government
D. City and U.S. Government

Answers

D. City and U.S. Government, but I’m not sure what the context is though.

what are three ways the electricity we use can be generated

Answers

There are 3 different types of energy. These 3 are fossil fuel, nuclear energy, and renewable energy. Most electricity is generated by ether wind, solar, or thermoelectric. Thermoelectric produces energy by burning coal,natural gas, and oil in a boiler.

Gizmo Warm-up: Lifting a piano A pulley is a simple machine that is used to lift heavy objects. A pulley is a wheel with a groove for a rope. Pulling down on one end of the rope causes the other end to pull up. In the Object to lift menu choose Piano. What is the weight of the piano

Answers

Answer:

bruuuuuuuuh

Explanation:

id                  

For an organism to survive, it must acquire energy. What is an example of acquiring energy?
Question 3 options:


healing a cut or wound


eating an apple


sweating


running

answer quick plz

Answers

Answer:

eating an apple

Explanation:

Eating food gives your body the nutrients and energy it needs.

What type of wavelength can we feel as heat and it is used to change the television channel with a remote?
microwaves
ultraviolet waves
X-rays
infrared waves

Answers

Answer:

d)infrared waves

Explanation:

A remote control uses light waves just beyond the visible spectrum of light—infrared light waves—to change channels on your TV. This region of the spectrum is divided into near-, mid-, and far-infrared.

What does a neutron look like

Answers

A neutron is part of an atom

PLEASE PLEASE HELP!!!!

Answers

Which ones do you need help with?

If a 15kg mass weighs 372 N on Jupiter, what is Jupiter's gravitational acceleration?

Answers

Answer:

Jupiter's gravitational acceleration is 24.8 m/s^2

Explanation:

Recall that the weight under the influence of a gravitational acceleration G is defined as:

Weight = m * G

Then, in our case we have

372 N = 15 kg * G

G = 372/15  m/s^2

G = 24.8 m/s^2

Help me with this, I'm being timed.

Answers

Answer:

I guess C

Explanation:

cause you can just try with hot water and ice cubes you know.

and we all know that ice will melt and the hot tea will get cold.

Answer:

D option

Explanation:

heat move from hot source to cold sink untill equilibrium reached

What is the maximum mass that can hang without sinking from a 50-cm diameter Styrofoam sphere in water

Answers

This question is incomplete, the complete question is;

Styrofoam has a density of 32kg/m³.

What is the maximum mass that can hang without sinking from a 50-cm diameter Styrofoam sphere in water

Answer: the required maximum mass is 63.3459 kg

Explanation:

Given that;

diameter d = 50 cm = 0.5 m

radius r = 0.5 / 2 = 0.25 m

Styrofoam density = 32kg/m³

Volume of sphere V = 4/3 πr³.

we substitute

V = 4/3 π(0.25)³

V = 0.06544 m³

Mass of sphere M = Volume × Density

we substitute

Mass of sphere M = 0.06544 m³ × 32kg/m³

Mass of Sphere M = 2.09408 kg

Mass of the water it displace will be;

volume × density

we know that density of water = 1000 kg/m³

so

Mass of the water it displace = 0.06544 m³ × 1000kg/m³

= 65.44 kg

Now the difference between mass of water and mass of the Styrofoam will be the amount of mass that the sphere can support

so

65.44 kg - 2.09408 kg = 63.3459 kg

Therefore, the required maximum mass is 63.3459 kg

Which term is applied to an object through which light passes?
A. Absorbent
B. Opaque
C. Reflective
D. Transparent

Answers

Answer:

D

Explanation:

transparent_objects that allows light to pass through and can you see through them

if an object is projected upward with an initial velocity of 80 ft per second, what is t at maximum height

Answers

Answer:

The time at maximum height is 2.49 s.

Explanation:

The time (t) at the maximum height can be found using the following equation:

[tex] v_{f} = v_{0} - gt [/tex]

Where:

[tex]v_{f}[/tex]: is the final velocity = 0 (at the maximum height)

[tex]v_{0}[/tex]: is the initial velocity = 80 ft/s

g: is the gravity = 9.81 m/s²

Hence, the time is:

[tex]t = \frac{v_{0}}{g} = \frac{80 \frac{ft}{s}*\frac{1 m}{3.281 ft}}{9.81 m/s^{2}} = 2.49 s[/tex]

Therefore, the time at maximum height is 2.49 s.

I hope it helps you!                        

The human nervous system can propagate nerve impulses at about 102 m>s. Estimate the time it takes for a nerve impulse to travel 2 m from your toes to your brain.

Answers

Answer:

t = 0.196 s

Explanation:

The speed of a pulse is determined by the characteristics of the medium, its density and its resistance to stress, as long as these remain the speed will be constant for which we can use the kinetic expressions of the uniform movement

          v = x / t

          t = x / v

calculate

          t = 2/102

          t = 0.196 s

Is this statement true or false?

Tornadoes are accompanied by spinning downdrafts and updrafts that form a funnel cloud.

Answers

Answer:

true true true true true

True true true true true

The period of a satellite circling planet Nutron is observed to be 84 s when it is in a circular orbit with a radius of 8.0 x 106 m. What is the mass of planet Nutron

Answers

Answer:

4.3 * 10^28 kg

Explanation:

Given:

Period, T = 84s

Radius of satellite orbit, r = 8*10^6

Using the relation :

M = 4π²r³ / GT²

Where G = Gravitational constant, 6.67 * 10^-11

M = 4*π^2*(8*10^6)^3 / 6.67 * 10^-11 * 84^2

M = (20218.191872 * 10^18) / 47063.52 * 10^-11

M = 0.4295937 * 10^18 - (-11)

M = 0.4295937 * 10^29

M = 4.295937 * 10^28 kg

M = 4.3 * 10^28 kg

Mass of planet Nutron = 4.3 * 10^28 kg

A 200-kg car is moving at 50 mis. What is the kinetic energy of the car? show

Answers

Answer:

Ekin = 250000 [J]

Explanation:

The kinetic energy of a body or object can be calculated based on the mass and the speed with which it moves. This energy can be easily calculated by means of the following equation.

[tex]E_{kin}=\frac{1}{2} *m*v^{2}[/tex]

where:

m = mass = 200 [kg]

v = velocity = 50 [m/s]

Now replacing:

[tex]E_{kin}=\frac{1}{2} *200*(50)^{2}\\E_{kin}=250000[J][/tex]

A finch rides on the back of a Galapagos tortoise, which walks at the stately pace of 0.060 m>s. After 1.5 minutes the finch tires of

Answers

Complete Question:

A finch rides on the back of a Galapagos tortoise, which walks

at the stately pace of 0.060 m/s. After 1.5 minutes the finch tires of

the tortoise’s slow pace, and takes flight in the same direction for

another 1.5 minutes at 11 m/s.

What was the average speed of the  finch for this 3.0-minute interval?

Answer:

[tex]Speed = 5.53 m/s[/tex]

Explanation:

Distance is calculated as:

[tex]Distance = Speed * Time[/tex]

First, we calculate the distance for the first 1.5 minutes

For the first 1.5 minutes, we have:

[tex]Speed = 0.060m/s[/tex]

[tex]Time = 1.5\ mins[/tex]

[tex]D_2= 0.060m/s * 1.5\ mins[/tex]

Convert 1.5 mins to seconds

[tex]D_2= 0.060m/s * 1.5 * 60s[/tex]

[tex]D_2= 5.4m[/tex]

Next, we calculate the distance for the next 1.5 minutes

[tex]Speed = 11m/s[/tex]

[tex]Time = 1.5\ mins[/tex]

[tex]D_2= 11m/s * 1.5\ mins[/tex]

Convert 1.5 mins to seconds

[tex]D_2 = 11m/s * 1.5 * 60s[/tex]

[tex]D_2= 990m[/tex]

Total distance is:

[tex]Distance = 990m + 5.4m[/tex]

[tex]Distance = 995.4m[/tex]

The average speed for the 3.0 minute interval is:

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]Speed = \frac{995.4\ m}{3.0\ mins}[/tex]

Convert 3.0 minutes to seconds

[tex]Speed = \frac{995.4\ m}{3.0 * 60 secs}[/tex]

[tex]Speed = \frac{995.4\ m}{180 secs}[/tex]

[tex]Speed = 5.53 m/s[/tex]

A 450-N rightward force is used to drag a large box across the floor with a constant velocity of 1.2 m/s. The coefficient of friction between the box and the floor is 0.795. Determine the mass of the box.

Answers

Answer:

the mass of the box is 51.98 kg.

Explanation:

Given;

applied horizontal force, F = 450 N

coefficient of friction, μ = 0.795

constant velocity, v = 1.2 m/s

At constant velocity, the acceleration of the object is zero and the net force will be zero.

[tex]F_{Net} = F - F_k\\\\0 = F - F_k\\\\F_k = F\\\\\mu \ N = F\\\\\mu (mg) = F\\\\m = \frac{F}{\mu g} \\\\m = \frac{405}{0.795 \ \times \ 9.8} \\\\m = 51.98 \ kg[/tex]

Therefore, the mass of the box is 51.98 kg.

A force of 40 N accelerates a 5 block at 6 m/s ^ 2 along a horizontal surface a. What would the block's acceleration be if the surface were frictionless. b. How large is the kinetic friction force? cWhat is the coefficient of kinetic friction?

Answers

Answer:

a = 8 m/s^2, Ffriction = 10 N, μk = 0.205

Explanation:

a. Force = Mass*Acceleration,

(since you didn't add the units..."5 block"....for the mass, I will assume it to be in kg, per SI units)

40 N = 5 kg*acceleration,

a = 40/5 = 8 m/s^2

b. As you know newtons second law (F=m*a) is actually in the form Fnet = m*a. Which means that if the friction force comes into play, it would be Fapplied - Ffriction = m*a.

Fapplied - Ffriction = m*a,

40 - Ffriction = 5*6,

40 - Ffriction = 30,

Ffriction = 40 - 30 = 10 N

c. The coefficient of kinetic friction is calculated by the formula "Ffriction = μk*Fnormal".

10 = μk*Fnormal (Fnormal = m*g = 5*9.8)

10 = μk*49,

μk=10/49 ≈ 0.205

Which has more volume a liter of a quart?
1. A quart
2. Both are the same
3. Neither describes volume
4. A liter

Answers

answer 4, liter
it’s not the same and it does describe volume

What is the difference between a graph of linear motion and a graph of harmonic motion?

Answers

Hope this helps :)

When describing linear motion, you need only one graph representing each of the three terms, while projectile motion requires a graph of the x and y axes. Graphs of simple harmonic motion are sine curves. Circular motion is different from other forms of motion because the speed of the object is constant.

A television connected to a 120 V line uses 102 Watts of power. How much current flows through it?
a. 12240 amps
b. 0.85 amps
c. 0.85 Watts

Answers

Answer: 0.85amps

Explanation: Power = 102watts; Voltage = 120voltsP = IxV ; I = P divided by V = 102 divided by 120 = 0.85amps

A planet of mass M and radius R has no atmosphere. The escape velocity at its surface is ve. An object of mass m is at rest a distance r from the center of the planet, where r>>R. The particle falls to the surface of the planet. The total mechanical energy of the particle at the surface of the planet is closest to

Answers

The total mechanical energy of the particle of mass m at the surface of the planet of mass M when the distance is R (planet's radius) is [tex] E = \frac{GmM}{R}  + \frac{1}{2}mv_{e}^{2} [/tex].            

When the particle is at rest at a distance "r" from the planet's center, it only has gravitational potential energy. As the particle falls to the planet's surface, some initial gravitational potential energy converts to kinetic energy.      

The total mechanical energy of the particle at the planet's surface is equal to the sum of the gravitational potential energy and kinetic energy, so:

[tex] E = P + K [/tex]    

[tex] E = maR + \frac{1}{2}mv_{e}^{2} [/tex]  (1)

Where:

m: is the mass of the object

a: is the acceleration due to gravity on the surface of the planet

R: is the radius of the planet

[tex]v_{e}[/tex]: is the escape velocity                            

The acceleration due to gravity is given by:

[tex] a = \frac{GM}{R^{2}} [/tex]  (2)  

By entering equation (2) into (1), we have:

[tex] E =mR\frac{GM}{R^{2}}  + \frac{1}{2}mv_{e}^{2} [/tex]  

[tex] E = \frac{GmM}{R}  + \frac{1}{2}mv_{e}^{2} [/tex]

                 

Therefore, the total mechanical energy of the particle is [tex] E = \frac{GmM}{R}  + \frac{1}{2}mv_{e}^{2} [/tex]

Learn more here:

https://brainly.com/question/9322440?referrer=searchResultshttps://brainly.com/question/14127859?referrer=searchResults  

I hope it helps you!  

Psychophysic is the study of

Answers

Answer:

Psychophysics is the subfield of psychology devoted to the study of physical stimuli and their interaction with sensory systems.

Explanation:

Hope this helps <3

Hope this helps you.

How to intercept a slope

Answers

Answer:

The slope intercept form is probably the most frequently used way to express equation of a line. To be able to use slope intercept form, all that you need to be able to do is 1) find the slope of a line and 2) find the y-intercept of a line.

Explanation:

Answer:You plot the numbers and divide

Explanation:

If a dog that has moved has a displacement of zero, it means that the dog's initial position and final position are the same. Is it T or F

Answers

Answer:

true

Explanation:

the dog hasn't moved, displacement has direction, and there is no movement or direction involved, his final position and initial are the same

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