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madreJ [45]
3 years ago
8

A block with mass m = 0.2 kg oscillates with amplitude A = 0.3 m at the end of a spring with force constant k = 12 N/m on a fric

tionless, horizontal surface. Rank the periods of the following oscillating systems from greatest to smallest. If any periods are equal, show their equality in your ranking.
(a) The system is as described above.(b) The amplitude is changed to 1.6 m.(c) The mass is changed to 1.6 kg.(d) The spring now has a force constant of 30 N/m.(e) A small resistive force is added so the motion is underdamped.
Physics
1 answer:
Llana [10]3 years ago
3 0

Answer:

Explanation:

Given that,

A block of mass m = 0.2kg

Amplitude of oscillation A = 0.3m

Spring Constant k = 12N/m

We want to rank the period of oscillation in each case from the smallest to the largest.

Period of oscillation can be determine using

T = 2π√m/k

Where,

T is period in seconds

m is mass in kg

k is spring constant in N/m

So, the only things that affect the period is mass and the spring constant

A. Using the above information

Where m = 0.2kg and k = 12 N/m

Then, T = 2π√m/k

T = 2π√(0.2/12)

T = 2π × 0.129

Ta = 0.81 seconds

B. The amplitude is change to 1.6m, A = 1.6m

The period T for a pendulum is nearly independent of amplitude.

Since the period is independent of the amplitude, then, the period does not change

So, Tb = Ta = 0.81seconds

C. If the mass is change to 1.6kg

Now, m=1.6kg

Then, T = 2π√m/k

T = 2π√(1.6/12)

T = 2π × 0.365

Tc = 2.28 seconds

D. If the force constant is change to 30N/m

Now, k = 30

Then, T = 2π√m/k

T = 2π√(0.2/ 30)

T = 2π × 0.0816

Td = 0.513 seconds

E. The small resistive force does not affect the period

So the period remains unchanged

Ta = Te = 0.81 seconds

Ranking the periods

Tc > Ta = Tb = Te > Td

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Answer:

Explanation:

Let Torque due to friction be

F  

Net torque

= 46 - F

Angular impulse = change in angular momentum

=(  46 - F ) x 17  = I X 580

When external torque is removed , only friction creates torque reducing its speed to zero in 120 s so

Angular impulse = change in angular momentum

F  x 120 = I X 580

(  46 - F ) x 17 = F  x 120

137 F = 46 x 17

F = 5.7 Nm

b )

Putting this value in first equation

5.7 x 120 = I x 580

I = 1.18 kg m²

8 0
2 years ago
An unfortunate astronaut loses his grip during a spacewalk and finds himself floating away from the space station, carrying only
Gnesinka [82]

Answer:

15.75 m/s

Explanation:

v = Velocity of the combined mass of astronaut and tools = 1.8 m/s

m_1 = Mass of astronaut = 124 kg

m_2 = Mass of tools = 16 kg

v_1 = Velocity of astronaut = 0

v_2 = Velocity of tools

As linear momentum is conserved

m_1v_1 + m_2v_2 =(m_1 + m_2)v\\\Rightarrow v_2=\frac{(m_1 + m_2)v-m_1v_1}{m_2}\\\Rightarrow v_2=\frac{(124+16)\times 1.8-124\times 0}{16}\\\Rightarrow v_2=15.75\ m/s

The velocity of the tools is 15.75 m/s

3 0
3 years ago
a particle with a charge of 5.5 x 10^-8 c is 3.5 cm from a particle with a charge of -2.3 x10^-8 c. the potential energy of this
Yuri [45]

Answer:

-32.5 * 10^-5 J

Explanation:

The potential energy of this system of charges is;

Ue = kq1q2/r

Where;

k is the Coulumb's constant

q1 and q2 are the magnitudes of the charges

r is the distance of separation between the charges

Substituting values;

Ue = 9.0×10^9 N⋅m2/C2 * 5.5 x 10^-8 C *( -2.3 x10^-8) C/(3.5 * 10^-2)

Ue= -32.5 * 10^-5 J

4 0
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Suppose the ends of a 27-m-long steel beam are rigidly clamped at 0°C to prevent expansion. The rail has a cross-sectional area
frozen [14]

Answer:

F = 1.58*10^{11} N

Explanation:

given data:

length of steel beam = 27 m

cross sectional area of rail = 35 cm

\Delta T = 39 Degree celcius

change in length of steel beam is given as

\Delta L = L_O \alpha \Delta T

            = 20*1.1*10^{-5}*39

           =8.58*10^{-3} m

Young's modulus is

Y = \frac{FL}{A\Delta L}

F = \frac{ YA\Delta L}{L}

= \frac{2.0*10^{11}*25*10^{-4}8.58*10^{-3}}{27}

F = 1.58*10^{11} N

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A 95 kg clock initially at rest on a horizontal floor
Nataly [62]

Answer:

You are given that the mass of the clock M is 95 kg.

This is true whether the clock is in motion or not.

Fs is the frictional force required to keep the clock from moving.

Thus Fk = uk W = uk M g      the force required to move clock at constant speed.     (the kinetic frictional force)

uk = 560 N / 931 N = .644   since the weight of the clock is 931 N  (95 * 9.8)

us  is the frictional force requited to start the clock moving

us = static frictional force = 650 / 931 -= .698

4 0
3 years ago
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