Answer:
(B) (length)/(time³)
Explanation
The equation x = ½ at² + bt³ has to be dimensionally correct. In other words the term bt³ and ½ at² must have units of change of position = length.
We solve in order to find the dimension of b:
[x]=[b]*[t]³
length=[b]*time³
[b]=length/time³
Answer:
linear acceleration

angular acceleration

Explanation:
As we know that the force due to tension force is upwards while weight of the disc is downwards
so we will have

also we have

now we have


now we have


so we have
linear acceleration

angular acceleration

Explanation:
The given data is as follows.
Mass of the ornament (
) = 0.9 kg
Length of the wire (l) = 1.5 m
Mass of missile (
) = 0.4 kg
Initial speed of missile (
) = 12 m/s
r = 1.5 m
According to the law of conservation of momentum,

Putting the given values into the above formula as follows.


0 + 4.8 = 1.3v
v = 3.69 m/s
Now, the centrifugal force produced is calculated as follows.

= 
= 11.80 N
Hence, tension in the wire is calculated as follows.
T = 
= 
= 24.54 N
Thus, we can conclude that tension in the wire immediately after the collision is 24.54 N.
In light energy, the higher
the frequency, the greater the energy a light contain.
We know for a certain
that frequency is just the reciprocal of wavelength:
frequency = 1 /
wavelength
Calculating for
frequencies:
f UVA = 1/320 to 1/400
f UVA = 0.0031 to 0.0025
f UVB = 1/290 to 1/320
f UVB = 0.0034 to 0.0031
Since UVB has higher frequency range, then it has higher
energy than UVA.
Centripetal acceleration = (speed)² / (radius) .
Force = (mass) · (acceleration)
Centripetal force = (mass) · (speed)² / (radius) .
= (11 kg) · (3.5 m/s)² / (0.6 m)
= (11 kg) · (12.25 m²/s²) / (0.6 m)
= (11 · 12.25) / 0.6 kg-m/s²
= 224.58 newtons. (about 50.5 pounds)
That's the tension in Miguel's arm or leg or whatever part of his body
Jesse is swinging him by. It's the centripetal force that's needed in
order to swing 11 kg in a circle with a radius of 0.6 meter, at 3.5
meters/second. If the force is less than that, then the mass has to
either swing slower or else move out to follow a bigger circle.