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
exis [7]
3 years ago
11

A vertical spring with spring constant 23.15 N/m is hanging from a ceiling. A small object is attached to the lower end of the s

pring, and the spring stretches to its equilibrium length. The objects is then pulled down a distance of 19.79 cm and released. The speed of the object at a distance 7.417 from the equilibrium point is 0.7286 m/s. What is the mass of the object?
Physics
1 answer:
umka2103 [35]3 years ago
8 0

Answer:

m= 1.47 kg

Explanation:

Given:

spring constant, K = 23.15 N/m

Displacement, x= 19.79 cm = 0.1979 m

at, x₁= 7.417 cm, v₁= 0.7286 m/s

Now,

x = 19.79 cos ( ωt)

on substituting the values, we get

7.417 x 10⁻² = 19.79 x 10⁻² cos (ωt)

or

cos(ωt) = 0.374

or

ωt = 67.98°

also

v = -0.1979×ωsin (ωt)

also

\omega=\frac{2\pi}{T}

on substituting the values in the above equation, we get

0.7286 = -0.1979 \frac{2\pi}{T} sin ( 67.98°)

3.68 =-\frac{2\pi}{T}(0.927)

or

T = 1.582 sec

also,

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

where, m is the mass

on substituting the values, we have

1.582=2\pi\sqrt{\frac{m}{23.15}}

on squaring both sides and solving, we have

m= 1.47 kg

You might be interested in
How much potential energy does an 8 kg flower pot hanging 5 m above the ground have
Morgarella [4.7K]

Answer:

Explanation:

Relative to ground level it has

PE = mgh = 8(10)(5) = 400 J

8 0
2 years ago
Read 2 more answers
Calculate the average velocity of a motor cycle that travels 72km/hr in<br> 20 seconds
olchik [2.2K]
Velocity =displacement
Change in time
D=72km/hr
Time=20s
But the S.I unit of velocity is m/s so you woul have to change 72km/hr to m/s

Changing 72km to m

1 kilometer=1000meters
Then, 72 kilometers =?

72•1000/1
=72000m

Changing 72hours to seconds

If 1 hour = 3600 seconds
Then 72 hours=?

72•3600/1

=259200 seconds


Velocity =displacement
Change in time

V= 72,000
259,2005
=0.028m/s
3 0
3 years ago
What type of energy is the sum of an object’s potential and kinetic energy?
nikklg [1K]

Answer: its mechanical energy

Explanation:

8 0
3 years ago
In an experiment, students measure the position x of a cart as a function of time t for a cart that starts at rest and moves wit
Minchanka [31]

Given :

Initial velocity , u = 0 m/s² .

To Find :

The acceleration of the cart.

Solution :

Since, acceleration is constant.

Using equation of motion :

x = ut + \dfrac{at^2}{2}\\\\x = \dfrac{at^2}{2}

Putting, t = 1 s  and x = 4 m in above equation, we get :

4 = \dfrac{a(1)^2}{2}\\\\a = 8 \  m/s^2

Therefore, the acceleration of the cart is 8 m/s².

5 0
3 years ago
A ball is thrown straight up with a speed of 30
konstantin123 [22]

Answer:

A ball is thrown straight up with a speed of 30

m/s. What is the maximum height reached by

the ball?

4 0
2 years ago
Other questions:
  • What would be the result of voltage while joining 2 or more different voltages of batteries with parallel ? and explain me what
    6·1 answer
  • What should you do immediately if a boat motor catches fire?
    15·1 answer
  • The equation Upper E equals StartFraction 1 Over 2 pi epsilon Subscript 0 EndFraction StartFraction q ⁢ d Over z Superscript 3 E
    14·1 answer
  • The Asteroid Belt exists between the orbits of _____ and _____.
    15·2 answers
  • Which statement is true of a wave that’s propagating along the pavement and girders of a suspension bridge?
    13·1 answer
  • Starting from rest, the Road Runner accelerates at 3 m/s for ten seconds. What is the final velocity of the Road Runner?
    15·2 answers
  • How do solar systems, galaxies, and the universe show different frames of reference about space?
    13·1 answer
  • Calculate the momentum for the 5 kg bowling ball moving at 6 m/s.
    14·1 answer
  • Which unit of measure is the correct SIunit to use in measuring the mass of a boulder?
    10·2 answers
  • I have an algerbra 2 question.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!