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
boyakko [2]
3 years ago
10

a solid sphere is rolling without slipping along a horizontal surface with a speed of 5.5 meters per second when it starts up a

ramp that makes an angle of 25 degrees with the horizontal what is the speed of the sphere after it has Road 3M up the ramp​
Physics
1 answer:
iVinArrow [24]3 years ago
8 0

Answer:

3.53 m/s

Explanation:

KE₁ + RE₁ = KE₂ + RE₂ + PE

½ mv₁² + ½ Iω₁² = ½ mv₂² + ½ Iω₂² + mgh

For a solid sphere, I = ⅖ mr²

½ mv₁² + ½ (⅖ mr²) ω₁² = ½ mv₂² + ½ (⅖ mr²) ω₂² + mgh

½ mv₁² + ⅕ mr² ω₁² = ½ mv₂² + ⅕ mr² ω₂² + mgh

Rolling without slipping means v = ωr.

½ mv₁² + ⅕ mv₁² = ½ mv₂² + ⅕ mv₂² + mgh

⁷/₁₀ mv₁² = ⁷/₁₀ mv₂² + mgh

⁷/₁₀ v₁² = ⁷/₁₀ v₂² + gh

Substitute:

⁷/₁₀ (5.50 m/s)² = ⁷/₁₀ v₂² + (9.8 m/s²) (3.00 m sin 25.0°)

v₂ = 3.53 m/s

You might be interested in
"a needle can be made to "float" on the surface tension of water. what causes this surface tension to form"
astra-53 [7]
The cohesion of water molecules to each other
5 0
3 years ago
One barometer tube has twice the cross-sectional area of another. mercury in the smaller tube will rise _____.
Andreas93 [3]
The answer is "the same than the mercury in the bigger tube".

If one barometer tube has twice the cross-sectional area of another, mercury in the smaller tube will rise the same than the mercury in the bigger tube.

The mercury will rise to the point where the column of mercury has the same weight as the force exerted by the atmosphere.

The force exerted by the atmosphere is pressure * cross-sectional area

Anf the weight of the column of mercury, W, will be:

W = m* g

where m = density * volume, and volume = cross-sectional area * height

=> W = density * cross-sectional area * height

Then,  you make W = F and get:

density * cross-sectional area * height = P * cross-sectional area

The term cress-sectional area appears on both sides so it gets cancelled, and the height of the column of mercury does not depend on the cross-sectional area of the barometer.


4 0
3 years ago
Read 2 more answers
What is the temperature of the center of the earth?
den301095 [7]
Scientists have determined the temperature near the Earth's center to be 6000 degrees Celsius
3 0
4 years ago
What is the seventh planet from the sun?
stiv31 [10]

The seventh planet from the sun is Uranus.

7 0
3 years ago
Read 2 more answers
An object is moving initially with a velocity of 4.7 m/s . After 3.9 s the object's velocity is -2.1 m/s . What is the object's
IgorC [24]

Answer: The acceleration of the object is 0.67m/s^2 west.

Explanation: Here we are given the initial velocity and final velocity as well as the time taken. Acceleration is the change in velocity per unit time, thus the equation becomes.

a=dv/t

a=vf-vi/t

a=-2.1-4.7/3.9

a= 0.66m/s^2 west

8 0
4 years ago
Other questions:
  • Its false sorry love try again
    12·1 answer
  • The potential difference between points A and B in an electric
    12·1 answer
  • When two people push a stationary box to the right,____.
    6·2 answers
  • HEY YOU! STOP SCROLLING!!! HELP ME?? BRAINLIEST ANSWER + FIVE STAR RATING!! Temperature differences across latitude cause A. )vo
    14·1 answer
  • Atoms of which two elements could combine with atoms of chromium (Cr) to
    6·1 answer
  • A type of organism that makes its own food. __________
    6·2 answers
  • I am so confused please help! will mark brainliest and give good points if u help.
    15·1 answer
  • Tell me something about physical health ?
    11·2 answers
  • Jill is 16 years old and worked at her local grocery store over the summer earning $5,600. Is Jill legally required to file a ta
    15·1 answer
  • A stone ‘X’ of mass 2 kg is at the height of 20m in two minutes, calculate the power delivered. [g=10 m/s-2]
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!