1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dominik [7]
3 years ago
15

An object travels in a circular path of radius 5.0 meters at a uniform speed of 10. m/s. What is the magnitude of the object's a

cceleration?
2.0 m/s/s
2.5 m/s/s
5.0 m/s/s
20. m/s/s
50. m/s/s
Physics
2 answers:
vladimir1956 [14]3 years ago
8 0
I think F= mv²/r
And F=ma
So, ma = mv²/r
a = v²/r
a = 100/5
a = 20 m/s
Genrish500 [490]3 years ago
4 0

Answer:

a = 20 m/s²

Explanation:

The magnitude of the acceleration of an object that moves in a circular path is given by:

a= \sqrt{(a_{t})^{2} +(a_{n})^{2} } Formula (1)

where:  

at = α*R : Formula (2)  :Tangential acceleration

ac = ω²*R :  Formula (3) : Centripetal acceleration

α : angular acceleration (rad/s²)  

ω: angular speed  (rad/s)  

R : is radius where the object is located from the center of the circular path

The tangential velocity of the body is calculated as follows:

v = ω*R  Formula (4)

where:  

v is the tangential velocity or linear velocity (m /s)  

ω is the angular speed (rad/s)  

R is radius where the body is located from the center of the circular path

Data

v = 10 m/s : tangential speed of the object (uniform)

R = 10 m

Calculating of ω  (angular speed)

We replace data in the formula (4)

v = ω*R

10 = ω*5

ω = 10 / 5

ω = 2 rad/s

Calculating of the Centripetal acceleration (ac)

We replace ω = 2 rad/s in the formula (3)

ac = ω²*R

ac = (2)²*(5)

ac = 20 m/s²

Calculating of  the tangential acceleration (at)

Because the magnitude of the tangential speed is uniform , then α=0

We replace α=0  in the formula (2)

at =α*R = 0*5

at = 0

Calculating of  the magnitude of the object's acceleration (a)

We replace :  at = 0 and ac = 20 m/s²  in the formula (1)

a= \sqrt{(0)^{2} +(20)^{2} }

a = 20 m/s²

You might be interested in
Suppose a firm is producing 2,475 units of output by hiring 50 workers (W = $20 per hour) and 25 units of capital (R = $10 per h
Neko [114]

Answer

given,

firm is producing  = 2,475 units

output by hiring 50 workers W = $20 per hour

25 units of capital R = $10 per hour

marginal product of labor = 40

marginal product of capital = 25

\dfrac{MP_l}{MP_c}=\dfrac{40}{25}

\dfrac{MP_l}{MP_c}=\dfrac{8}{5}

\dfrac{W}{R}=\dfrac{20}{10}

\dfrac{W}{R}=2

\dfrac{MP_l}{MP_c} < \dfrac{W}{R}

Firm is not minimizing the cost because the firm use more capital and less labor.

3 0
3 years ago
To avoid an accident, a driver steps on the brakes to stop a 1000kg car traveling at 65km/h. If the braking distance is 35m, how
Alenkinab [10]
To stop the car it would be 100m because if the car is going to 65km/h then it would still be 100km/h
8 0
3 years ago
When you and a friend move a couch to another room you exert a force of 75 N over 5m how much work will you do
sesenic [268]

The work done is 375 J

Explanation:

The work done by a force in moving an object is given by

W=Fd cos \theta

where

F is the magnitude of the force

d is the displacement

\theta is the angle between the direction of the force and the displacement

In this problem,

F = 75 N is the force applied to the couch

d = 5 m is the displacement

Assuming the force applied to the couch is parallel to the motion, \theta=0

And so, the work done is

W=(75)(5)(cos 0)=375 J

Learn more about work:

brainly.com/question/6763771

brainly.com/question/6443626

#LearnwithBrainly

6 0
3 years ago
Calculate the maximum capillary rise/fall of mercury in a 0.5 mm radius glass capillary. Assume that the surface tension for mer
tekilochka [14]

Answer: 0.01 m

Explanation: The formulae for capillarity rise or fall is given below as

h = (2T×cosθ)/rpg

Where θ = angle mercury made with glass = 50°

T = surface tension = 0.51 N/m

g = acceleration due gravity = 9.8 m/s²

r = radius of tube = 0.5mm = 0.0005m

p = density of mercury.

h = height of rise or fall

From the question, specific gravity of density = 13.3

Where specific gravity = density of mercury/ density of water, where density of water = 1000 kg/m³

Hence density of mercury = 13.3×1000 = 13,300 kg/m³.

By substituting parameters, we have that

h = 2×0.51×cos 50/0.0005×9.8×13,300

h = 0.6556/65.17

h = 0.01 m

8 0
3 years ago
As a stands, her entire weight is momentarily placed on the heels of her high-heeled shoes. Calculate the pressure exerted on th
Lena [83]

Answer:

Pressure will be 6072449.952Pa

Explanation:

We have given mass of the women m = 65 kg

Radius of the heels r = 0.578 cm = 0.00578 m

We have to find the pressure

We know that pressure is given by

P=\frac{F}{A}=\frac{mg}{A}

So force F = mg = 65×9.8 = 637 N

Area A=\pi r^2=3.14\times 0.00578^2=1.049\times 10^{-4}m^2

So pressure p=\frac{637}{1.049\times 10^{-4}}=6072449.952Pa

5 0
3 years ago
Other questions:
  • Find the x-components of this vector: 92.5 m, 32.0 degrees. Remember, angles are measured from the +x axis.
    7·1 answer
  • The force of friction is in the same direction as the object is moving <br><br> true<br> false
    12·1 answer
  • The Asian Silver Carp is an invasive species of fish which has infested a number of American rivers. The disturbance of passing
    10·1 answer
  • In a physics lab, light with a wavelength of 530 nm travels in air from a laser to a photocell in a time of 16.7 ns . When a sla
    11·1 answer
  • PLEASE HELP FAST
    11·1 answer
  • How ocean currents effect temperature and the amount of moisture of the air mass above coastlines
    11·1 answer
  • Read through the and calculate the predicted change in kinetic energy of the oblect compared to 50 kg ball traveling at 10 m/s .
    5·1 answer
  • Various radial points on a rotating Ferris wheel have: I. different linear velocities II. different angular velocities III. equa
    5·1 answer
  • A marble rolls with a speed of 15 m/s and has a momentum of 0.15 kg*m/s. What is its mass?<br>​
    7·1 answer
  • Electromagnetic radiation includes only visible light waves.<br><br> true or false
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!