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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

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The density of silver is 10.5 g cm3. a piece of silver with a mass of 61.3 g would ovvupy a volume of ?
natali 33 [55]
The relationship between mass m, volume V and density d is:
d= \frac{m}{V}
The silver has density d=10.5 g/cm^3, and the mass of the piece of silver is m=61.3 g. Therefore we can calculate its volume using the previous formula:
V= \frac{m}{d}= \frac{61.3 g}{10.5 g/cm^3}=5.84 cm^3
7 0
3 years ago
A person travels 1.5 km in 6 minutes, how fast were they traveling in meters per second?
Evgen [1.6K]

Answer:

4.167m/sec

Explanation:

1km=1000m

1.5km=1500m

1min=60sec

6min=360sec

In 360sec they travel 1500m

In 1 sec they travel=1500m/360

1sec=4.167m

7 0
3 years ago
Room's become bright at the day time although there is no bright sunlight in the rooms why
Aneli [31]

Answer:

The room become bright in the day by a process call scattering of light or Rayleigh scattering.

Explanation:

It is called Rayleigh scattering or scattering of light because Rayleigh scattering is the scattering if light or electromagnetic radiation by smaller particles which have radius of less than 110 nanometer in a medium and the wavelengths of the electromagnetic. Wave or light remain unchanged. The scattering of light occur in the day time in the room and this bring of brighten up of the room.

5 0
2 years ago
A car traveling at 43 km/h hits a bridge abutment. A passenger in the car moves forward a distance of 54 cm (with respect to the
Brums [2.3K]

Answer:

F = -6472.9 N

F= -6.47 kN

Explanation:

First of all you have to convert the data to SI  units

so for the velocity you have :

Vi = 43km/h *(1000m/1km)*(1h/3600s)  ---> using conversion factors

Vi= 11.9444 m/s

dX : distance the passanger moves

dX = 54cm*(1m/100cm)   -->  using conversion factors

dX = 0.54 m

Now to calculate the force we are going to use the sum of focers equals to mass for acceleration:

Sum F = m*a

We have to find a so we are going to use the velocity's formula as follows to solve a:

Vf ^2 = Vi^2 +2*a*dX

Vf=0  --> the passenger does not move after the airbag inflates.

a= -(Vi^2)/(2*dX)

you solve de acceleration with the data you hae and you will find

a = -132.1 m/ s^2

Now you can solve the Sum F equation

Sum F = 49 Kg * (-132.1 m/s^2)

F = -6472.9 N

F= -6.47 kN

6 0
3 years ago
What two gases in the atmosphere do animals and plants need to breathe and grow?
kenny6666 [7]

Answer: Explanation:

Plants and animals each produce the gases that the other needs to live. Plants need carbon dioxide—people and other animals exhale carbon dioxide as a waste product. People and other animals need oxygen—plants produce oxygen during an important process called photosynthesis, which turns the sun's energy into nutrients.

7 0
3 years ago
Read 2 more answers
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