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
Elodia [21]
3 years ago
12

Find the smallest positive phase of the mass on a spring that undergoes simple harmonic motion if at time t = 0.1 s the position

x = 8 cm, the spring constant k = 16 N/m, the mass m = 4 kg and the amplitude A = 10 cm.
A. 1.57 rad
B. 0.79 rad
C. 0.20 rad
D. 0.64 rad
E. 0.44 rad
Physics
1 answer:
Zigmanuir [339]3 years ago
3 0

Answer:

Explanation:

Given a mass spring system

At t = 0.1s, the positions is at x=8cm

x(0.1) = 8cm = 0.08m

Spring constant k=16N/m

Mass attached m = 4kg

Amplitude of oscialltion A=10cm = 0.1m

The angular frequency can be calculated using

w = √k/m

Where k is spring constant in N/m

m is mass attached object to the spring in kg

w = √16/4 = √4

w = 2rad/s.

Generally, the equation of a spring is given as

x = ACos(wt+Φ)

Where,

A is amplitude in metre

w is angular frequency in rad/sec

Φ is phase in radian

x(t) = 0.1Cos(2t + Φ)

At t=0.1 x = 0.08

0.08 = 0.1Cos(0.2+Φ)

Cos(0.2+Φ) = 0.08/0.1

Cos(0.2+Φ) = 0.8

0.2+Φ = ArcCos(0.8), note angle in radiant

0.2+Φ = 0.644

Φ = 0.644 — 0.2

Φ = 0.444 rad.

The phase of the SHM is 0.444rad

The answer is E = 0.44 rad

You might be interested in
In order to transmit information via radio waves, the waves need to be changed somehow. For car radios this can happen in two wa
laila [671]

Answer: amplitude

Explanation: This describes the maximum amount of the displacement of a particle from it rest position. Usually, it is measured in metres

Since we are considering AM which is amplitude modulation, a technique used in electronic communication, most commonly for broadcasting information through a radio carrier wave. In amplitude modulation, the amplitude (signal strength) of the carrier wave is diversified in proportion to that of the message signal being broadcasted.

7 0
3 years ago
What are the differences between refraction and diffraction?
Liula [17]
Refraction is the change in direction of a wave.
Diffraction is the bending of a wave around a barrier.
5 0
3 years ago
The drawing shows a large cube (mass = 28.6 kg) being accelerated across a horizontal frictionless surface by a horizontal force
MrRissso [65]

Answer:

P= 454.11 N

Explanation:

Since P is the only horizontal force acting on the system, it can be defined as the product of the acceleration by the total mass of the system (both cubes).

P= (M+m)*a\\a = \frac{P}{28.6 +4.3}\\a = \frac{P}{32.9}

The friction force between both cubes (F) is defined as the normal force acting on the smaller cube multiplied by the coefficient of static friction. Since both cubes are subject to the same acceleration:

F = m * a*\mu \\F= 4.3*0.710*\frac{P}{32.9}\\F=3.053*\frac{P}{32.9}

In order for the small cube to not slide down, the friction force must equal the weight of the small cube:

3.053*\frac{P}{32.9} = 4.3 * g\\\\P = \frac{4.3*9.8*32.9}{3.053} \\P= 454.11 N

The smallest magnitude that P can have in order to keep the small cube from sliding downward is 454.11 N

8 0
3 years ago
The National Ambient Air Quality Standards (NAAQS) are maximum allowable levels for _____ harmful pollutants. sixteen six sixty
Harman [31]
6

I hope this helps (:

4 0
3 years ago
Read 2 more answers
Please Answer the question in the picture ASAP PLEASE
attashe74 [19]

Answer:

HERE IS YOUR ANSWER

Explanation:

PLEASE MARK MY ANSWER AS BRAINLIEST IF THE ANSWERS ARE CORRECT .

Beacuse of the loose connection of the wire .

Straight

5 0
3 years ago
Other questions:
  • (7%) Problem 5: A thermos contains m1 = 0.73 kg of tea at T1 = 31° C. Ice (m2 = 0.095 kg, T2 = 0° C) is added to it. The heat ca
    12·1 answer
  • Describe the radioactive disintegration’s known as alpha, beta, and gamma decay
    9·1 answer
  • If the change in velocity increases, what happens to the acceleration during the same time period?
    14·2 answers
  • What was the name of charles lindbergh’s single winged airplane for his solo flight across the atlantic?
    12·1 answer
  • Can electrostatic attract both pull and pull?
    14·2 answers
  • What was the experiment carried out by Hershel & Ritter.
    13·1 answer
  • What is the magnetic field at a point P midway between two wires, each carrying a current of 29 Amps in opposite directions and
    12·1 answer
  • Hurry pls I need help
    8·1 answer
  • Name 3 examples of the Doppler Effect
    11·1 answer
  • when a bucket full of water is pulled of from a well,in which condition: either inside or outside the water is it difficult to l
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!