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stepan [7]
3 years ago
10

g 1. A mass undergoing simple harmonic motion along the x-axis has a period of T = 0.5 s and an amplitude of 25 mm. Its position

is x = 14 mm when t = 0. a. Write down x(t) = A cos(ωt + φ0) for this oscillator, filling in A, ω, and φ0. b. What is the magnitude of the maximum velocity vmax? At what value(s) of x does it occur? c. What is the magnitude of the maximum acceleration amax? At what value(s) of x does it occur?
Physics
1 answer:
kondor19780726 [428]3 years ago
7 0

Answer:

Explanation:

a )

Amplitude A = 14 mm , angular frequency ω = 2π / T

= 2π / .5

ω = 4π rad /s

φ₀ = initial phase

Putting the given values in the equation

14 = 25 cos(ωt + φ₀ )

14/25 = cosφ₀

φ₀ = 56 degree

x(t) = 25cos(4πt + 56° )

b )

maximum velocity = ω A

=  4π  x 25

100 x 3.14 mm /s

= 314 mm /s

At x = 0 ( equilibrium position or middle point , this velocity is achieved. )

maximun acceleration = ω² A

= 16π² x A

= 16 x 3.14² x 25

= 3943.84 mm / s²

3.9 m / s²

It occurs at x = A or at extreme position.

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A race car accelerates from rest to a velocity of +90 m/s over a distance of 423m. Determine the acceleration of the race car.
dlinn [17]

Answer:

9.57m/s²

Explanation:

Given parameters:

Initial velocity  = 0m/s

Final velocity  = 90m/s

Distance  = 423m

Unknown:

Acceleration of the race car  = ?

Solution:

To solve this problem, we should apply one of the appropriate motion equations;

      V²  = U²   + 2as

Where V is the final velocity

           U is the initial velocity

           a is the acceleration

           s is the distance

  90²  = 0²  + 2 x a x 423

  8100 = 846a

      a  = 9.57m/s²

4 0
4 years ago
The rechargeable batteries for a laptop computer need a much smaller voltage than what a wall socket provides. Therefore, a tran
mart [117]

Answer:

(a) 0.075

(b)20.1 mA

(c) 2.412 W

Explanation:

Vs = 9 V, is = 268 mA = 0.268 A

Vp = 120 V

(a) Let the number of turns in primary coil is Np and the number of turns in secondary coil of the transformer is Ns.

Ns / np = Vs / Vp

Ns / Np = 9 / 120

Ns / Np = 3 : 40 = 0.075

(b) Let the current drawn from the wall socket is ip.

Ns/ Np = ip / is

0.075 = ip / 0.268

ip = 0.0201 A = 20.1 mA

(c) Power delivered by the socket = Vp x ip = 120 x 0.0201 = 2.412 W

Power sent to the batteries = Vs x is = 9 x 0.268 = 2.412 W

5 0
3 years ago
The bodies in this universe attract one another name the scientist who propounded this statement​
murzikaleks [220]

Answer:

It was proposed by Isaac Newton

Explanation:

The law of universal attraction of expression

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where G is a constant, m₁ and m₂ are the masses of the bodies and r the distance between them.

It was proposed by Isaac Newton

With this law Newton explained that the force that pulls the moon towards the earth is the same as that which attracts an apple towards the earth

8 0
3 years ago
WILL MARK BRAINLIEST IF RIGHT & HAS EXPLINATION
Colt1911 [192]

Answer:

s= 64m I'm not 100% sure

Explanation: like 97.9%

7 0
3 years ago
A wave passes along the surface of the water in a ripple tank. Describe the motion of a molecule on the surface as the water pas
laila [671]

Answer:

Explanation:

Water waves are generally a transverse wave which do not cause permanent displacement of molecules of the medium. Transverse waves are waves in which the direction of propagation of the wave is perpendicular to the direction of vibration of the particles of the medium.

As the wave propagates from one point to another on the surface of water transferring energy, a molecule of water on its surface vibrates upwards and downwards. Its motion is perpendicular to the direction of propagation of the wave. After the vibration, it comes back to its initial position.

8 0
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