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tatiyna
3 years ago
12

A 205 kg log is pulled up a ramp by means of a rope that

Physics
1 answer:
Volgvan3 years ago
7 0

Answer:2.737 kN

Explanation:

Given

mass of log(m)=205 kg

ramp inclination=30^{\circ}

coefficient of kinetic friction between log and ramp is (\mu _k)=0.9

log has an acceleration of 0.8 m/s^2

Let T be the tension in the rope

T-mgsin\theta -f_r=ma

Where mgsin\theta=Sin component of weight

f_r=friction\ Force=\mu _KN(Where N is Normal reaction)

T-mgsin\theta -\mu _k\left ( mgcos\theta \right )=ma

T=m\left ( gsin\theta +\mu _kcos\theta +a\right )

sin30=0.5

cos30=0.866

T=205\times \left ( 9.81\times 0.5+0.9\times 9.81\times 0.866+0.8\right )

T=205\times 13.35=2.737 kN

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Answer:

(a) The total energy of the object at any point in its motion is 0.0416 J

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(c) The maximum speed attained by the object during its motion is 0.577 m/s

Explanation:

Given;

mass of the toy, m = 0.25 kg

force constant of the spring, k = 300 N/m

displacement of the toy, x = 0.012 m

speed of the toy, v = 0.4 m/s

(a) The total energy of the object at any point in its motion

E = ¹/₂mv² + ¹/₂kx²

E = ¹/₂ (0.25)(0.4)² + ¹/₂ (300)(0.012)²

E = 0.0416 J

(b) the amplitude of the motion

E = ¹/₂KA²

A = \sqrt{\frac{2E}{K} } \\\\A = \sqrt{\frac{2*0.0416}{300} } \\\\A = 0.0167 \ m

(c) the maximum speed attained by the object during its motion

E = \frac{1}{2} mv_{max}^2\\\\v_{max} = \sqrt{\frac{2E}{m} } \\\\v_{max} = \sqrt{\frac{2*0.0416}{0.25} } \\\\v_{max} = 0.577 \ m/s

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You are trying to climb a castle wall so, from the ground, you throw a hook with a rope attached to it at 24.1 m/s at an angle o
Serhud [2]

Answer:

The value is  h  =  13.2 \  m

Explanation:

From the question we are told that

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     The angle is  \theta = 65.0^o

      The speed at which it hits top of the wall is  v  =  16.3 m/s

Generally from kinematic equation we have that

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Here h is the height of the wall so

      [16.3 sin (65)]^2 =  [24.1 sin (65)] ^2+   2 (-9.8)* h

=>    h  =  13.2 \  m

4 0
3 years ago
A 48.0-kg skater is standing at rest in front of a wall. By pushing against the wall she propels herself backward with a velocit
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Answer:

F = 47.6 N

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Answer:

1.63366

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