answer.
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
Annette
20 days ago
15

A solid uniform disk of diameter 3.20 m and mass 42 kg rolls without slipping to the ) bottom of a hill, starting from rest. If

the angular speed of the disk is 4.27 rad/s at the bottom, how high did it start on the hill? A) 3.57mB) 4.28 mC) 3.14 mD) 2.68 m
Physics
1 answer:
kicyunya [2.2K]20 days ago
8 0

Answer:

(A) = 3.57 m

Explanation:

According to the question, the information provided is:

diameter (d) = 3.2 m

mass (m) = 42 kg

angular speed (ω) = 4.27 rad/s

Using the conservation of energy principle, we have

mgh = 0.5 mv² + 0.5Iω²...equation 1

where

Inertia (I) = 0.5mr²

ω = v/r

Revising equation 1, it turns into

mgh = 0.5 mv² + 0.5(0.5mr²)(v/r)²

resulting in gh = 0.5 v² + 0.5(0.5)v²

This simplifies to 4gh = 2v² + v²

thus h = 3v² ÷ 4g... equation 2

Given ω = v/r, we find v = ωr = 4.27 × (3.2 ÷ 2)

which yields v = 6.8 m/s

Next, substituting the value of v into equation 2 gives us

h = 3v² ÷ 4g

h = 3 × (6.8)² ÷ (4 × 9.8)

h = 3.57 m

You might be interested in
A parallel-plate capacitor is constructed of two square plates, size L×L, separated by distance d. The plates are given charge ±
inna [2205]

Answer: A) 2 B) 4 C) 1

Explanation:

The electric field associated with a parallel-plate capacitor is defined as:

A) E=Q/(L^2 * ε0); if we double the charge, the resultant electric field becomes twice as strong as its initial value.

B) Referring to the earlier electric field expression, if the plate size is doubled, the final electric field will be a quarter of the original strength.

C) If the separation distance between the plates is increased twofold, the resulting electric field remains unchanged from its initial state.

3 0
14 days ago
The cluster of decisions that managers make to assist the organization to achieve its goals is known as:
Softa [2029]
The answer is option C. SWOT analysis. The compilation of decisions made by managers to aid the organization in reaching its objectives is referred to as SWOT Analysis.
Here are the options. A. Strategy B. Scenario planning C. SWOT analysis D. Diversification E. Related diversification
8 0
18 days ago
Which contributions did Galileo make to the model of the solar system? Select two options.a mathematical model for the orbits of
Sav [2226]
Galileo's contributions to the solar system model include: Data indicating that planets reflect sunlight like the Moon, and his observations of Jupiter's moons orbiting the gas giant. With the assistance of an early telescope that he constructed, Galileo made these two significant discoveries.
7 0
7 days ago
The equation for the change in the position of a train (measured in units of length) is given by the following expression: x = ½
Keith_Richards [2256]
(B) (length)/(time³) Explanation: The term x = ½ at² + bt³ should meet dimensional consistency. This means that both bt³ and ½ at² must share the same units, which are length. To find the dimension of b, we rearrange the equation: [x] = [b]*[t]³ leads to length = [b]*time³, hence [b] = length/time³.
6 0
10 days ago
Read 2 more answers
A box sliding on a horizontal frictionless surface runs into a fixed spring, compressing it a distance x1 from its relaxed posit
serg [2593]

Answer:

x₂=2×1

Explanation:

According to the work-energy theorem, we can assume that the gravitational potential energy at the lowest point of compression is zero since the kinetic energy change is 0;

mgx-(kx)²/2 =0 where m refers to the object's mass, g indicates the acceleration due to gravity, k denotes spring constant, and x represents the spring's compression.

mgx=(kx)²/2

x=2mg/k----------------compression when the object is at rest

However, ΔK.E =-1/2mv²⇒kx²=mv² -----------where v symbolizes the object's velocity and K.E signifies kinetic energy

Thus, if kx²=mv² then

v=x *√(k/m) ----------------where v=0

<pDoubling v results in multiplying x *√(k/m) by 2, leading to x₂ being double x₁

7 0
1 month ago
Other questions:
  • A group of physics students hypothesize that for an experiment they are performing, the speed of an object sliding down an incli
    13·2 answers
  • In your own words, describe the three steps in ray tracing used to identify where an image forms.
    14·2 answers
  • Suggest reasons why poaching for subsistence is likely to be less damaging to the biodiversity of an area than poaching for prof
    9·1 answer
  • A very long uniform line of charge has charge per unit length λ1 = 4.80 μC/m and lies along the x-axis. A second long uniform li
    14·1 answer
  • A merry-go-round initially at rest at an amusement park begins to rotate at time t=0. The angle through which it rotates is desc
    10·1 answer
  • If a beaker of water is placed under a broiler so that the heating coil is above the beaker. It is observed that only the surfac
    7·1 answer
  • A 5kg bucket hangs from a ceiling on a rope. A student attaches a spring scale to the buckets handle and pulls horizontally on t
    15·1 answer
  • A baseball player throws a ball straight up and catches it 3.0 s later. If the ball accelerates at 9.85 m/s2 down, at what veloc
    13·1 answer
  • Sebuah benda dijatuhkan bebas dari ketinggian 200 m jika grafitasi setempat 10 m/s maka hitunglah kecepatan dan ketinggian benda
    7·1 answer
  • Slick Willy is in traffic court (again) contesting a $50.00 ticket for running a red light. "You see, your Honor, as I was appro
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!