Answer:
α = 1215.71 rad/s²
Explanation:
The angular acceleration of an object is defined as the time rate of change of angular velocity of he object. The formula for the angular acceleration of an object is given as follows:
α = (ωf - ωi)/Δt
where,
α = angular acceleration of the disk = ?
ωf = Final Angular Velocity = 0 rad/s (Since disk finally stops)
ωi = Initial Angular Velocity = (5050 rpm)(2π rad/rev)(1 min/60 s)
ωi = 528.83 rad/s
Δt = time interval = 0.435 s
Therefore,
α = (0 rad/s - 528.83 rad/s)/(0.435 s)
α = - 1215.71 rad/s²
here, negative sign indicates that the direction of acceleration is opposite to the direction of angular velocity or the angular motion. So, the magnitude of acceleration will be:
<u>α = 1215.71 rad/s²</u>
Answer:
The final image relative to the converging lens is 34 cm.
Explanation:
Given that,
Focal length of diverging lens = -12.0 cm
Focal length of converging lens = 34.0 cm
Height of object = 2.0 cm
Distance of object = 12 cm
Because object at focal point
We need to calculate the image distance of diverging lens
Using formula of lens
The rays are parallel to the principle axis after passing from the diverging lens.
We need to calculate the image distance of converging lens
Now, object distance is ∞
Using formula of lens
The image distance is 34 cm right to the converging lens.
Hence, The final image relative to the converging lens is 34 cm.
Probability of it being a boy is 17/25 which is .68
Answer:
The paintball ball launcher
Explanation:
The average speed of a paintball ball(vo) is approximately 90m/sec
and if the average speed of a ball pitcher in baseball (v1) is 150km/h
, which is equivalent to (150km/h*1000m/km*h/3600sec) = 41.66m/sec therefore the flight time of each mobile must be found to determine which one falls to the ground first
finally you can see that the shortest flight time is from the paintball ball launcher, therefore it will fall to the ground first
Note: Since the launch conditions must be the same for both, except the speed, it is placed 15º as an average value, but it can be any angle as long as it is the same for both
Answer:
D)
Explanation:
The Period-Luminosity relationship tells us that luminosity increases with the period, and of course the more luminosity a star has the more far away they can be seen, so from this we know that:
A) False since lower luminosities can be observed when they are close.
B) False since longer periods means higher luminosities
C) False since lower luminosities can be observed when they are close.
D) True: Variable stars with shorter periods have lower luminosities, so they can only be observed when they are close.