Answer:
A. a = 25 N
B. b = 20 N
C. c = 5 Kg
D. d = 5 [tex]m/s^{2}[/tex]
E. e = 4 Kg
F. f = 25 [tex]m/s^{2}[/tex]
Explanation:
Second Law of Motion : 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.
[tex]Force = mass\times acceleration[/tex]
[tex]F(N) = M(Kg)\times a(m/s^{s})[/tex]
A.
Use [tex]F = mass\times a[/tex], here m= 5.0 Kg and a = 5.0[tex]m/s^{2}[/tex]
[tex]F = 5.0\times 5.0[/tex]
F = 25 N
B.Use [tex]F = mass\times a[/tex], here m =2.0 Kg and a = 10[tex]m/s^{2}[/tex]
[tex]F = 2.0\times 10.0[/tex]
F = 20 N
C.
Use [tex]m =\frac{F}{a}[/tex] , here F = 10.0 N and a = 2.0[tex]m/s^{2}[/tex]
[tex]m =\frac{10}{5}[/tex]
m = 5 Kg
D.
Use [tex]a =\frac{F}{m}[/tex] , here F = 50.0 N and m = 10.0 Kg
[tex]a =\frac{50}{10}[/tex]
a = 5[tex]m/s^{2}[/tex]
E.
Use [tex]m =\frac{F}{a}[/tex] , here F = 100.0 N and a = 25[tex]m/s^{2}[/tex]
[tex]m =\frac{100}{25}[/tex]
m = 4 Kg
F.
Use [tex]a =\frac{F}{m}[/tex] , here F = 1000.0 N and m = 40.0 Kg
[tex]a =\frac{1000}{40}[/tex]
a = 25[tex]m/s^{2}[/tex]
