I have already submitted this question and I only got the answer to numer 1 but

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I have already submitted this question and I only got the answer to numer 1 but I actually need the answer to all of them so I am resubmitting it again please help me with all of these problems, I would really appreciate it !! you can skip number 1 I got that one thank you!!

Can you please help me with these physics problems:

1- When a 0.820 kg mass oscillates on an ideal spring, the frequency is 1.43 Hz .

PART A: What will the frequency be if 0.200 kg are added to the original mass? Try to solve this problem without finding the force constant of the spring.

PART B: What will the frequency be if 0.200 kg are subtracted from the original mass? Try to solve this problem without finding the force constant of the spring.

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2- A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless surface. When the amplitude of the motion is 0.090 m , it takes the block 2.58 s to travel from x= 0.090 m to x= -0.090 m .

PART A: If the amplitude is doubled, to 0.180 m , how long does it take the block to travel from x= 0.180 m to x= -0.180 m ?

PART B: If the amplitude is doubled, to 0.180 m , how long does it take the block to travel from x= 0.090 m to x= -0.090 m ?

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3- A cheerleader waves her pom-pom in SHM with an amplitude of 18.5 cm and a frequency of 0.855 Hz .

PART A: Find the maximum magnitude of the acceleration.

PART B: Find the maximum magnitude of the velocity.

PART C: Find the acceleration when the pom-pom's coordinate is x= 8.90 cm .

PART D: Find the speed when the pom-pom's coordinate is x= 8.90 cm .

PART E: Find the time required to move from the equilibrium position directly to a point a distance 12.2 cm away.

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4- A uniform, solid metal disk of mass 7.00 kg and diameter 28.0 cm hangs in a horizontal plane, supported at its center by a vertical metal wire. You find that it requires a horizontal force of 4.21 N tangent to the rim of the disk to turn it by 3.34 , thus twisting the wire. You now remove this force and release the disk from rest.

PART A: What is the torsion constant for the metal wire?

PART B: What is the frequency of the torsional oscillations of the disk?

PART C: What is the period of the torsional oscillations of the disk?

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5- After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 55.0 cm . She finds that the pendulum makes 105 complete swings in a time of 145 s .

PART A: What is the value of g on this planet?

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6- A holiday ornament in the shape of a hollow sphere with mass 1.0×102 kg and radius 4.5×102 m is hung from a tree limb by a small loop of wire attached to the surface of the sphere. If the ornament is displaced a small distance and released, it swings back and forth as a physical pendulum.

PART A: Calculate its period. (You can ignore friction at the pivot. The moment of inertia of the sphere about the pivot at the tree limb is 5MR2/3.)

Take the free fall acceleration to be 9.80 m/s2 . Express your answer using two significant figures.

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7- A hard-boiled egg of mass 55.0 g moves on the end of a spring with force constant 24.3 N/m . The egg is released from rest at an initial displacement of 0.290 m . A damping force Fx=bvx acts on the egg, and the amplitude of the motion decreases to 0.105 m in a time of 5.00 s .

PART A: Calculate the magnitude of the damping constant b.

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8- An object is undergoing SHM with period 0.295 s and amplitude 5.75 cm . At t=0 the object is instantaneously at rest at x= 5.75 cm .

PART A: Calculate the time it takes the object to go from x= 5.75 cm to x= -1.40 cm .

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9- A 1.60 kg , horizontal, uniform tray is attached to a vertical ideal spring of force constant 180 N/m and a 270 g metal ball is in the tray. The spring is below the tray, so it can oscillate up-and-down. The tray is then pushed down 15.8 cm below its equilibrium point (call this point A) and released from rest.

PART A: How high above point A will the tray be when the metal ball leaves the tray? (Hint: This does notoccur when the ball and tray reach their maximum speeds.)

PART B: How much time elapses between releasing the system at point A and the ball leaving the tray?

PART C: How fast is the ball moving just as it leaves the tray?

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Explanation / Answer

(2) Time period = 2.81*2 = 5.62 s = 2*pi/w,

where w is angular velocity of the refence point moving on a circle of radius equal to amplitude whose projections describe the actual SHM.

w = (2*pi)/5.62 --------- (1)
a) time will be same as 2.81 s(half time period

b) x(t1) = 0.090 = 0.180*cos (wt1) ------- (2)
x(t2) = -0.090 = 0.180*cos (wt2) ----------- (3);

(3) - (2) gives
-0.180 = 0.180*cos[w(t2-t1)] or -1 = cos[w(t2-t1)]
required, t2-t1 = pi/w = 2.81s

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