Answer:
<u>We are given:</u>
initial velocity (u) = 20m/s
acceleration (a) = 4 m/s²
time (t) = 8 seconds
displacement (s) = s m
<u />
<u>Solving for Displacement:</u>
From the seconds equation of motion:
s = ut + 1/2 * at²
replacing the variables
s = 20(8) + 1/2 * (4)*(8)*(8)
s = 160 + 128
s = 288 m
A. IMA: 4
The Ideal Mechanical Advantage (IMA) is given by:
![IMA = \frac{d_i}{d_o}](https://tex.z-dn.net/?f=IMA%20%3D%20%5Cfrac%7Bd_i%7D%7Bd_o%7D)
where
is the input distance
is the output distance
For the pulley system in this problem,
and
, so the IMA is
![IMA=\frac{3.90 m}{0.975 m}=4](https://tex.z-dn.net/?f=IMA%3D%5Cfrac%7B3.90%20m%7D%7B0.975%20m%7D%3D4)
B. MA: 3.59
The actual mechanical advantage (AMA), or simply the Mechanical Advantage (MA), is given by
![MA=\frac{F_o}{F_i}](https://tex.z-dn.net/?f=MA%3D%5Cfrac%7BF_o%7D%7BF_i%7D)
where
is the output force and
is the input force. For the pulley system in this problem,
and
, so the MA is
![MA=\frac{1345 N}{375 N}=3.59](https://tex.z-dn.net/?f=MA%3D%5Cfrac%7B1345%20N%7D%7B375%20N%7D%3D3.59)
C. Efficiency: 89.8 %
The efficiency of a machine is equal to the ratio between the MA and the AMA:
![\eta = \frac{MA}{AMA} \cdot 100](https://tex.z-dn.net/?f=%5Ceta%20%3D%20%5Cfrac%7BMA%7D%7BAMA%7D%20%5Ccdot%20100)
Therefore, in this case,
![\eta=\frac{3.59}{4}\cdot 100=0.898=89.8 \%](https://tex.z-dn.net/?f=%5Ceta%3D%5Cfrac%7B3.59%7D%7B4%7D%5Ccdot%20100%3D0.898%3D89.8%20%5C%25)
It is most likely vegetable oil
26.54 m/s is the magnitude of its velocity just before it strikes the ground
h=100m,v=20m/s,g=9.8m/s
time it takes to reach the ground,
![[t=\sqrt2h/g],[=\sqrt2*100/9.8=4.51s]](https://tex.z-dn.net/?f=%5Bt%3D%5Csqrt2h%2Fg%5D%2C%5B%3D%5Csqrt2%2A100%2F9.8%3D4.51s%5D)
x= 120m
t= 4.52
v= x/t
v= 120/4.52
v= 26.54 m/s
The "speed at which an object changes its location" can be expressed using a vector number called velocity. Consider a person who moves swiftly while taking two steps forward and two steps back while remaining in one location. Velocity is a vector quantity. Therefore, velocity is cognizant of direction. The direction must be taken into account when determining an object's velocity. A speed of 55 mph is not enough information. The direction must be used to appropriately depict the item's velocity. Simply said, the direction of the velocity vector indicates the direction of motion of an object.
To know more about velocity visit : brainly.com/question/16379705
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