Answer:
The required steady force of each rocket is 28.79 N
Explanation:
mass of the satellite, M=3900 kg
radius, r=4.3 m
mass of rocket, m=210 kg
time, t=5.4 min
Moment of Inertia:
I = 1/2 (Mr^2) + 4mr^2
I = 1/2 ( 3900* (4.3)^2) + 4 (210)*(4.3)^2
I = 51587.1 kg m^2
the angular acceleration is:
a= w/t
here w= 2*π*30
so,
a= 2*π*30 / 5.4* 3600
a=0.0096 rad/ s^2
the Torque becomes:
T=I*a = 4r*F
( 51587.1 )*(0.0096) = 4*4.3* F
F= 28.79 N
the required steady force of each rocket is 28.79 N
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Answer:
D. The sphere the disk and the hoop
Explanation:
This is because the sphere has inertial of
2/5mR²
Disk 1/2mR²
Hope mR²
So these are moment of inertial which is resistance or opposition to rotation so since the sphere has a smaller moment to inertial it will move faster and reach the ground first then the disk then the hoop in that order
Answer:
electrons pass through a cross section of the wire each second.
Explanation:
According to mole concept:
1 mole of an atom contains
number of particles.
Given : Charge on 1 electron =
Charge on 1 mole of electrons =
To calculate the charge passed we use the equation:
where,
I = current passed = 1 A
q = total charge = ?
t = time required = 1 sec
Putting values in above equation, we get:
When 96500C of electricity is passed , the electrons passed =
1 C of electricity is passed , the electrons passed =
Hence,
electrons pass through a cross section of the wire each second.
Acceleration = (change in speed) / (time for the change)
-- during the first second, the object increases its speed to
(5 m/s²) · (1 s) = 5 m/s .
-- During the next 2 seconds, the object increases its speed by
(2 m/s²) · ( s) = 4 m/s
So at the end of the whole 3 seconds, its speed is (5 m/s) + (4 m/s) = 9 m/s
-- Over the whole time, its speed has changed from zero to 9 m/s.
Acceleration = (change in speed) / (time for the change)
Acceleration = (9 m/s) / (3 sec)
<em>Acceleration = 3 m/s²</em>