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
Svetlanka [38]
3 years ago
11

A spring with spring constant 13.1 N/m hangs from the ceiling. A ball is suspended from the spring and allowed to come to rest.

It is then pulled down 10.0 cm and released. The ball makes 22.0 oscillations in 20.0 seconds.
What are its (a) mass and (b) maximum speed?
Physics
1 answer:
Alenkinab [10]3 years ago
6 0

Answer:

Explanation:

spring constant, K = 13.1 N/m

22 oscillations in 20 seconds

time taken to complete one oscillation is called time period.

T = 20 / 22 second = 0.909 seconds

(a) let m be the mass.

The formula for the time period is

T = 2\pi \sqrt{\frac{m}{K}}

m = \frac{T^{2}K}{4\pi ^{2}}

m = \frac{0.909^{2}\times 13.1}{4\pi ^{2}}

m = 0.275 kg

(b) maximum speed, v = ω A = 2π A / T

v = ( 2 x 31.4 x 0.1) / 0.909

v = 0.691 m/s

You might be interested in
An ideal spring is fixed at one end. A variable force F pulls on the spring. When the magnitude of F reaches a value of 49.1 N,
balu736 [363]

When the spring is stretched by 15.2 cm = 0.152 m, the spring exerts a restorative force with magnitude (due to Hooke's law)

F = kx

where k is the spring constant. Solve for k.

49.1\,\mathrm N = k (0.152\,\mathrm m) \implies k \approx 323 \dfrac{\rm N}{\rm m}

The amount of work required to stretch or compress a spring by x\,\mathrm m from equilibrium length is

W = \dfrac12 kx^2

Then the work needed to stretch the spring by 15.2 cm is

W_1 = \dfrac12 \left(343\dfrac{\rm N}{\rm m}\right) (0.152\,\mathrm m)^2 \approx 3.73\,\mathrm J

and by 15.2 + 13.7 = 28.9 cm is

W_2 = \dfrac12 \left(343\dfrac{\rm N}{\rm m}\right) (0.289\,\mathrm m)^2 \approx 13.5\,\mathrm J

so the work needed to stretch from 15.2 cm to 28.9 cm from equilibrium is

\Delta W = W_2 - W_1 \approx \boxed{9.76\,\mathrm J}

4 0
2 years ago
Larger size, longer life, and specialization are three advantages to<br> being a
Ivanshal [37]

Answer: Multicellular organism

Explanation:

Multicellular organisms refer to living things that have more than a single cell as opposed to unicellular organisms such as bacteria. Humans as well as all animals and land plants fall under this classification.

Multicellular organisms can live longer because new cells can be produced when others die. They are also larger due to the presence of many different cells which then specialize in different roles to ensure the survival of the organism.

4 0
3 years ago
Water flows through a garden hose which is attached to a nozzle. The water flows through hose with a speed of 1.81 m/s and throu
Serggg [28]

Answer:

a) 17.086m

b) 0.1671 m

Explanation:

Given data: speed of water through the hose  = 1.81 m/s

through the nozzle = 18.3 m/s

We know that maximum height of an object with upward velocity v is given by,

a) H = v^2/2g

where H is the maximum height water emerges  

= 18.3^2/(2×9.8) = 17.086 m answer

b) Again,  

H = v^2/2g

= 1.81^2/(2×9.8) = 0.1671 m

6 0
3 years ago
A wye-connected load has a voltage of 480v applied to it. What is the voltage drop across each phase
rodikova [14]

Answer:

Y_A=277.128 \angle 30v

Y_B=277.128 \angle (-150)v

Y_C=277.128 \angle (90)v

Explanation:

From the question we are told that

Voltage V_L_L =480v

Generally in a case of Y_connection V_p_ h is mathematical represented as

V_p_h=\frac{V_l_l}{\sqrt{3}} \angle (\phi-30)v

Generally voltage drop across phase A

Y_A=\frac{408}{\sqrt{3}} \angle -(0-30)

Y_A=277.128 \angle 30v

Generally voltage drop across phase B

Y_B=277.128 \angle (-30-120)

Y_B=277.128 \angle (-150)v

Generally voltage drop across phase C

Y_C=277.128 \angle (-30+120)

Y_C=277.128 \angle (90)v

3 0
3 years ago
A student releases a small cart at the top of an incline with height H above the floor. The cart experiences very little frictio
Triss [41]

Answer:

Explanation:

In the whole process , potential energy of the cart is converted into kinetic energy . At the top of the vertical loop , the whole of potential energy is regained and kinetic energy becomes zero if we release the cart from a height of 2R because difference of height between lowest and highest point of motion  is 2R .  In that case kinetic energy at top = 0 , velocity v = 0

At the top , weight mg is acting which is providing centripetal force . So cart must have some velocity at the top . If it be v

mv²/R = mg

v = √ gR .

For that purpose , the cart must be released from a height greater than 2R .

The extra height beyond 2R will make the velocity at the top non-zero.

3 0
3 years ago
Other questions:
  • 24x515,382xcos(555) what is the answer?
    13·1 answer
  • If three devices are plugged into one port on a switch and two devices are plugged into a different port, how many collision dom
    11·1 answer
  • Which of the following best describes a completely elastic collision?
    7·1 answer
  • A mass m = 0.7 kg is released from rest at the origin 0. The mass falls under the influence of gravity. When the mass reaches po
    5·1 answer
  • A bicycle wheel has an initial angular velocity of 1.10 rad/s . Part A If its angular acceleration is constant and equal to 0.20
    11·1 answer
  • When researching online, as long as the gathered information is the result of a valid Internet search engine, it is not necessar
    9·1 answer
  • A brick of gold is 0.1 m wide, 0.1 m high, and 0.2 m long. The density of gold is 19,300 kg/m3. What pressure does the brick exe
    13·1 answer
  • Question 1 and 2 and 3 physics lesson homework
    13·1 answer
  • 1)name x and y
    13·1 answer
  • A ball with a mass of 15kg sits at rest on
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!