Answer:
A. a = 25 N
B. b = 20 N
C. c = 5 Kg
D. d = 5 ![m/s^{2}](https://tex.z-dn.net/?f=m%2Fs%5E%7B2%7D)
E. e = 4 Kg
F. f = 25 ![m/s^{2}](https://tex.z-dn.net/?f=m%2Fs%5E%7B2%7D)
Explanation:
<u>Second Law of Motion</u> : It states that force is directly proportional to rate of change of momentum in the absence of any external unbalanced force .
Force is equal to product of mass and acceleration.
![Force = mass\times acceleration](https://tex.z-dn.net/?f=Force%20%3D%20mass%5Ctimes%20acceleration)
![F(N) = M(Kg)\times a(m/s^{s})](https://tex.z-dn.net/?f=F%28N%29%20%3D%20M%28Kg%29%5Ctimes%20a%28m%2Fs%5E%7Bs%7D%29)
A.
Use
, here m= 5.0 Kg and a = 5.0![m/s^{2}](https://tex.z-dn.net/?f=m%2Fs%5E%7B2%7D)
![F = 5.0\times 5.0](https://tex.z-dn.net/?f=F%20%3D%205.0%5Ctimes%205.0)
F = 25 N
B.Use
, here m =2.0 Kg and a = 10![m/s^{2}](https://tex.z-dn.net/?f=m%2Fs%5E%7B2%7D)
![F = 2.0\times 10.0](https://tex.z-dn.net/?f=F%20%3D%202.0%5Ctimes%2010.0)
F = 20 N
C.
Use
, here F = 10.0 N and a = 2.0![m/s^{2}](https://tex.z-dn.net/?f=m%2Fs%5E%7B2%7D)
![m =\frac{10}{5}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7B10%7D%7B5%7D)
m = 5 Kg
D.
Use
, here F = 50.0 N and m = 10.0 Kg
![a =\frac{50}{10}](https://tex.z-dn.net/?f=a%20%3D%5Cfrac%7B50%7D%7B10%7D)
a = 5![m/s^{2}](https://tex.z-dn.net/?f=m%2Fs%5E%7B2%7D)
E.
Use
, here F = 100.0 N and a = 25![m/s^{2}](https://tex.z-dn.net/?f=m%2Fs%5E%7B2%7D)
![m =\frac{100}{25}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7B100%7D%7B25%7D)
m = 4 Kg
F.
Use
, here F = 1000.0 N and m = 40.0 Kg
![a =\frac{1000}{40}](https://tex.z-dn.net/?f=a%20%3D%5Cfrac%7B1000%7D%7B40%7D)
a = 25![m/s^{2}](https://tex.z-dn.net/?f=m%2Fs%5E%7B2%7D)