The magnitudes of the forces that the ropes must exert on the knot connecting are :
- F₁ = 118 N
- F₂ = 89.21 N
- F₃ = 57.28 N
<u>Given data :</u>
Mass ( M ) = 12 kg
∅₂ = 63°
∅₃ = 45°
<h3>Determine the magnitudes of the forces exerted by the ropes on the connecting knot</h3><h3 />
a) Force exerted by the first rope = weight of rope
∴ F₁ = mg
= 12 * 9.81 ≈ 118 kg
<u>b) Force exerted by the second rope </u>
applying equilibrium condition of force in the vertical direction
F₂ sin∅₂ + F₃ sin∅₃ - mg = 0 ---- ( 1 )
where: F₃ = ( F₂ cos∅₂ / cos∅₃ ) --- ( 2 ) applying equilibrium condition of force in the horizontal direction
Back to equation ( 1 )
F₂ = [ ( mg / cos∅₂ ) / tan∅₂ + tan∅₃ ]
= [ ( 118 / cos 63° ) / ( tan 63° + tan 45° ) ]
= 89.21 N
<u />
<u>C ) </u><u>Force </u><u>exerted by the</u><u> third rope </u>
Applying equation ( 2 )
F₃ = ( F₂ cos∅₂ / cos∅₃ )
= ( 89.21 * cos 63 / cos 45 )
= 57.28 N
Hence we can conclude that The magnitudes of the forces that the ropes must exert on the knot connecting are :
F₁ = 118 N, F₂ = 89.21 N, F₃ = 57.28 N
Learn more about static equilibrium : brainly.com/question/2952156
The time taken for the group of people to pull the car, giving it a velocity of 1.5 m/s is 3.75 s
Momentum is simply defined as the product of mass and velocity i.e
Momentum = mass × velocity
To answer the question given, we'll begin by calculating the change in momentum. This can be obtained as follow:
Mass = 1500 Kg
Initial velocity (u) = 0 m/s
Final velocity (v) = 1.5 m/s
<h3>Change in momentum =? </h3>
Change in momentum = m(v – u)
Change in momentum = 1500 (1.5 – 0)
Change in momentum = 1500 × 1.5
<h3>Change in momentum = 2250 Kg•m/s</h3>
Finally, we shall determine the time
Change in momentum = 2250 Kg•m/s
Force (F) = 600 N
<h3>Time (t) =? </h3>
Impulse = Ft = change in momentum
FT = change in momentum
600 × t = 2250
Divide both side by 600
t = 2250 / 600
<h3>t = 3.75 s</h3>
Thus, the time required is 3.75 s
Learn more on momentum and impulse: brainly.com/question/14486244
By putting to much weight on it our body causing it to hurt or fall hope this helps
Answer:
Vmax=11.53 m/s
Explanation:
from conservation of energy
Spring potential energy =potential energy due to elevation
0.5*k*x²= mg
=mgh
0.5*k*2.3²= 430*9.81*6
k=9568.92 N/m
For safety reason
k"=1.13 *k= 1.13*9568.92
k"=10812.88 N/m
agsin from conservation of energy
spring potential energy=change in kinetic energy
0.5*k"*x²=0.5*m*
10812.88 *2.3²=430*
=11.53 m/s
At the time of quark confinement, when the universe was 10-6 seconds old, there is found to be one additional proton for every billion antiprotons.
<h3>What is quark confinement?</h3>
Note that one quark is never found on its own but if particles are said to be smashed together and quarks are found, they are said to be like ends of rubber bands that expands.
Hence, At the time of quark confinement, when the universe was 10-6 seconds old, there is found to be one additional proton for every billion antiprotons.
Learn more about quark from
brainly.com/question/15103512
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