Answer:
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Answer: A
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Answer:
= 308.5 N
Explanation:
acceleration of rocket for safe landing


= initial velocity
=final Velocity
m = mass of rocket

-5.625 
Upward force
F - mg = ma
F = ma+ mg
F = m(a+g)
m= mass
a = 5.625 
g = 9.8
= 20(5.625
+ 9.8
)
= 308.5 N
Answer: The angular speed w of the loop = 181 rad/s
Explanation:
Given that;
Area A = 0.193 m2
Magnetic field B = 0.374 T
E.m.f = 9.24v
Ø = 45 degree
According to Faraday's law when the magnetic flux linking a circuit changes, an electromotive force is induced in the circuit proportional to the rate of change of the flux linkage.
Using the formula
E.m.f = NABwcosØ
Where w = angular velocity.
Let assume that N = 1 then,
9.24 = 0.193 × 0.374 × w × cos45
9.24 = 0.051w
w = 9.24/0.051
w = 181 m/s
Therefore, the angular speed w of the loop = 181 rad/s
The tension in the cable is 169.43 N and the vertical component of the force exerted by the hi.nge on the beam is 114.77 N.
<h3>Tension in the cable</h3>
Apply the principle of moment and calculate the tension in the cable;
Clockwise torque = TL sinθ
Anticlockwise torque = ¹/₂WL
TL sinθ = ¹/₂WL
T sinθ = ¹/₂W
T = (W)/(2 sinθ)
T = (29 x 9.8)/(2 x sin57)
T = 169.43 N
<h3>Vertical component of the force</h3>
T + F = W
F = W - T
F = (9.8 x 29) - 169.43
F = 114.77 N
Thus, the tension in the cable is 169.43 N and the vertical component of the force exerted by the hi.nge on the beam is 114.77 N.
Learn more about tension here: brainly.com/question/24994188
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