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
Archy [21]
3 years ago
8

A solid cylinder of mass 3.0 kg and radius 0.2 m starts from rest at the top of a ramp, inclined 15°, and rolls to the bottom wi

thout slipping. (For a cylinder I = MR2.) The upper end of the ramp is 1.5 m higher than the lower end. Find the linear speed of the cylinder when it reaches the bottom of the ramp. (g = 9.8 m/s2)
Physics
1 answer:
Lera25 [3.4K]3 years ago
3 0

Answer:

v = 4.4271 m/s

Explanation:

Given

m = 3 Kg

R = 0.2 m

∅ = 15°

h = 1.5 m

g = 9.8 m/s²

v = ?

Ignoring frictional losses, at the bottom of the plane

Total kinetic energy is  =  Potential Energy at the top of plane

Using Law of conservation of energy we have

U = Kt + Kr

m*g*h = 0.5*m*v² + 0.5*I*ω²

knowing that

Icylinder = 0.5*m*R²

ω = v/R

we have

m*g*h = 0.5*m*v² + 0.5*(0.5*mR²)*(v/R)² = 0.75*m*v²

⇒  v = √(g*h/0.75) = √(9.8 m/s²*1.5 m/0.75)

⇒  v = 4.4271 m/s

You might be interested in
Explain why incremental development is the most effective approach for developing business software systems. Why is this model l
Ksenya-84 [330]

Explanation:

Typically, business software technologies are complex, and software strenuous. Business software applications are also often upgraded for changes in business goals or procedures. Real-time systems usually require a lot of hardware components that are quite difficult to change and cannot be upgraded Usually, actual-time safety critical systems that required to be built based on well-planned processes.

3 0
3 years ago
A wrench 0.500 m long is applied to a nut with a force of 80.0 N. Because of the cramped space, the force must be exerted upward
riadik2000 [5.3K]

Answer:

Torque, \tau=34.6\ N.m

Explanation:

It is given that,

Length of the wrench, l = 0.5 m

Force acting on the wrench, F = 80 N

The force is acting upward at an angle of 60.0° with respect to a line from the bolt through the end of the wrench. We need to find the torque is applied to the nut. We know that torque acting on an object is equal to the cross product of force and distance. It is given by :

\tau=Fr\ sin\theta

\tau=80\times 0.5\ sin(60)

\tau=34.6\ N.m

So, the torque is applied to the nut is 34.6 N.m. Hence, this is the required solution.

7 0
3 years ago
A fullback preparing to carry the football starts from rest and accelerates straight ahead. He is handed the ball just before he
RideAnS [48]

Answer:

x=4.06m

Explanation:

A body that moves with constant acceleration means that it moves in "a uniformly accelerated movement", which means that if the velocity is plotted with respect to time we will find a line and its slope will be the value of the acceleration, it determines how much it changes the speed with respect to time.

When performing a mathematical demonstration, it is found that the equations that define this movement are as follows.

Vf=Vo+a.t  (1)\\\\

{Vf^{2}-Vo^2}/{2.a} =X(2)\\\\

X=Xo+ VoT+0.5at^{2}    (3)\\

Where

Vf = final speed

Vo = Initial speed

T = time

A = acceleration

X = displacement

In conclusion to solve any problem related to a body that moves with constant acceleration we use the 3 above equations and use algebra to solve

for this problem

Vf=7.6m/s

t=1.07

Vo=0

we can use the ecuation number one to find the acceleration

a=(Vf-Vo)/t

a=(7.6-0)/1.07=7.1m/s^2

then we can use the ecuation number 2 to find the distance

{Vf^{2}-Vo^2}/{2.a} =X

(7.6^2-0^2)/(2x7.1)=4.06m

4 0
4 years ago
The sphere that refers to Earth's water is called what?
WARRIOR [948]

Answer:

Its called the hydrosphere UwU!

Explanation:

6 0
3 years ago
Read 2 more answers
What is the difference between professional and casual communication styles?
Lady bird [3.3K]

Answer:

professional communication style is expected to be formal while the casual is informal.

Explanation:

7 0
3 years ago
Other questions:
  • An astronaut goes out for a space-walk at a distance above the earth equal to the radius of the earth. What is her acceleration
    12·1 answer
  • A child is holding a cup of hot tea. His mother, a physicist, warns him not to start running with the tea. According to Newton's
    7·1 answer
  • If you whirl a tin can on the end of a string and the string suddenly breaks, in what direction will the can go?
    7·1 answer
  • What happens to the particles of a liquid when energy is removed from them?
    8·1 answer
  • What electric field strength would store 12.5 JJ of energy in every 6.00 mm3mm3 of space?
    13·1 answer
  • Ms. PB is pushing Mr. Rigney in a wheelchair with a force of 10 N East, while Mr. Rigney is using his arms to
    9·1 answer
  • 1-10 are True or False (This is Environmental Science not physics)
    9·1 answer
  • If 1 m = 100 cm , then how many cm^2 are there in a m^2 ?? please hel[p
    14·2 answers
  • What is the name of the upward force<br> exerted on a boat in water?
    6·2 answers
  • When are children MOST likely to begin using words to express meaning? A. before 12 months B. between 12 and 18 months C. betwee
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!