Physics, 13.12.2019 03:31 mayaparness

If we double only the amplitude of a vibrating ideal mass-and-spring system, the mechanical energy of the system:
a. increases by a factor of 2.
b. increases by a factor of 3.
c. does not change.
d. increases by a factor of 4.
e. increases by a factor of √2.

Answers: 3

Show answers

Answers

Answer from: javibote

D. increases by a factor of 4.

Explanation:

General equation of SHM

Lets taken the general equation of the displacement given as

x = A sinω t

A=Amplitude ,t=time ,ω=natural frequency

We know that speed V

$V=\dfrac{dx}{dt}$

V= A ω cosωt

The mechanical energy of spring mass system

$U=\dfrac{1}{2}KA^2$

K=Spring constant

Now when Amplitude A become 2 times then the mechanical energy will become 4 times.

Therefore the answer is D.

Answer from: Quest

i. like it i'm gonna edit it tomorrow

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

Another question on Physics

Physics, 22.06.2019 05:30

What tightening torque should be used for a hexagonal head screw (not split-bolt) on a 250 kcmil conductor?

Answers: 3

Answer

Physics, 22.06.2019 10:50

The temperature at a point (x, y) is t(x, y), measured in degrees celsius. a bug crawls so that its position after t seconds is given by x = 6 + t , y = 8 + 1 3 t, where x and y are measured in centimeters. the temperature function satisfies tx(3, 9) = 5 and ty(3, 9) = 4. how fast is the temperature rising on the bug's path after 3 seconds? (round your answer to two decimal places.)

Answers: 3

Answer

Physics, 22.06.2019 14:30

Which one of the following terms is used to indicate the natural tendency of an object to remain at rest or in motion at a constant speed along a straight line? velocity acceleration equilibrium force inertia

Answers: 2

Answer

Physics, 22.06.2019 21:00

What is the efficiency of an engine that does 80 j of work and exhausts 320 j of heat while taking in 400 j of heat ? a. 10% b. 20% c. 80% d. 25%

Answers: 1

Answer

You know the right answer?

If we double only the amplitude of a vibrating ideal mass-and-spring system, the mechanical energy o...

Questions