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victus00 [196]
2 years ago
15

A 900 kg steel beam is supported by the two ropes shown in (Figure 1) . Calculate the tension in the rope.

Physics
1 answer:
Rzqust [24]2 years ago
8 0
Let T1 and T2 be tension in ropes1 and 2 respectively. 
<span>since system is stationary (equilibrium), considering both ropes + beam as a system </span>

<span>for horizontal equilibrium (no movement in that direction, so resultant force must be zero horizontally) </span>
<span>T1sin(20) = T2sin(30) </span>
<span>=> T1 = T2sin(30) / sin(20) </span>

<span>for vertical equilibrium, (no movement in this direction, so resultant force must be zero vertically) </span>
<span>T1cos(20) + T2cos(30) = mg </span>

<span>m = 900kg, substituting for T1 </span>
<span>T2sin(30)*cos(20)/sin(20) + T2cos(30) = 900g </span>
<span>2.328*T2 = 900*9.8 </span>
<span>T2 = 3788.65N </span>
<span>so T1 from (1) </span>
<span>T1 = 5535.21N</span>
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Recall the previous question and the scenario with Zamir and Talia finding their way through a maze. Why is their displacement t
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Sample Response: Zamir and Talia’s total distances are different because they walked different paths in the maze. Zamir took a longer path. However, they had the same displacement because they both ended at the same position.

4 0
2 years ago
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11–8 Consider a heavy car submerged in water in a lake with a flat bottom. The driver’s side door of the car is 1.1 m high and 0
Greeley [361]

Answer:

Explanation:

position of centre of mass of door from surface of water

= 10 + 1.1 / 2

= 10.55 m

Pressure on centre of mass

atmospheric pressure + pressure due to water column

10 ⁵ + hdg

= 10⁵ + 10.55 x 1000 x 9.8

= 2.0339 x 10⁵ Pa

the net force acting on the door (normal to its surface)

= pressure at the centre x area of the door

= .9 x 1.1 x 2.0339 x 10⁵

= 2.01356 x 10⁵ N

pressure centre will be at 10.55 m below the surface.

When the car is filled with air or  it is filled with water , in both the cases pressure centre will lie at the centre of the car .

7 0
2 years ago
A 50.-kilogram rock rolls off the edge of a cliff. if it is traveling at a speed of 24.2 m/s when it hits the ground, what is th
ElenaW [278]

The correct answer to the question is : 29.88 m.

EXPLANATION :

As per the question, the mass of the rock m = 50 Kg.

The rock is rolling off the edges of the cliff.

The final velocity of the rock when it hits the ground v = 24 .2 m/s.

Let the height of the cliff is h.

The potential energy gained by the rock at the top of the cliff = mgh.

Here, g is known as acceleration due to gravity, and g = 9.8\ m/s^2

When the rock rolls off the edge of the cliff, the potential energy is converted into kinetic energy.

When the rock hits the ground, whole of its potential energy is converted into its kinetic energy.

The kinetic energy of the rock when it touches the ground is given as -

                Kinetic energy K.E = \frac{1}{2}mv^2.

From above we know that -

   Kinetic energy at the bottom of the cliff = potential energy at a height h

                 \frac{1}{2}mv^2=\ mgh

                ⇒ v^2=\ 2gh

                ⇒ h=\ \frac{v^2}{2g}

                ⇒ h=\ \frac{(24.2)^2}{2\times 9.8}

                ⇒ h=\ 29.88\ m

Hence, the height of the cliff is 29.88 m

             


5 0
2 years ago
A photon ionizes a hydrogen atom from the ground state. The liberated electron 11. recombines with a proton into the first excit
anygoal [31]

Answer:

a) 23.2 e V

b) energy of the original photon is 36.8 eV

Explanation:

given,

energy at ground level = -13.6 e V

energy at first exited state = - 3.4 e V

A photon of energy ionized from ground state and electron of energy K is released.

h ν₁ - 13.6 = K

K combine with photon in first exited state giving out photon of energy

h\nu_2 =\dfrac{hc}{\lambda}=\dfrac{12400}{466}

            = 26.6 e V

h c = 6.626 ×  10⁻³⁴ ×  3  × 10⁸  = 12400 e V A°

K + ( 3.4 ) = 26.6 e V

a) energy of free electron

K = 26.6 - 3.4 = 23.2 e V

b) energy of the original photon

h ν₁ - 13.6 = K

h ν₁  = 23.2 + 13.6

       = 36.8 e V

energy of the original photon is 36.8 eV

3 0
2 years ago
A 2-kg pellet travels with velocity 60 m/s to the right when it collides with a 38-kg hanging mass which is initially at rest. A
Dimas [21]

Answer:

1.  v_{f} = 5.45 m/s , 2.  K = 326.73 J  and 3. h = 152 cm

Explanation:

R1. Let's use the conservation of the moment, for this we define a system formed by the two bodies, the pill plus the hanging mass,

Where the mass of the tablet (m = 2 kg) and the hanging mass (M = 38 Kg)

Initial, before crash

      po = m v₀₁ + 0

Final, just after the crash

      p_{f} = (m + M) v_{f}

The moment is preserved

     p₀ = p_{f}

     m v1o = (m + M) v_{f}

    v_{f} = m / (m + M) v1o

    v_{f}= 2/(2+20)  60

    v_{f} = 5.45 m/s

R2 The kinetic energy is given, in our case, after the collision

      K = ½ (m + M) v_{f}²

      K = ½ (2 +20) 5.45²

      K = 326.73 J

R3 Let's use the conservation of mechanical energy, after the crash. Let's look for energy at two points the lowest and the highest point

Lowest point

     Em₀ = K = ½ (m + M) v_{f}²

Highest point

      Em_{f} = U = mg h

     Em₀ = Em_{f}

     ½ (m + M) v_{f}² = (m + M) g h

     h =v_{f}² / 2g

     h = 5.45²/2 9.8

     h = 1.52 m (100cm / 1m)

     h = 152 cm

5 0
2 years ago
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