Question

An object of mass 1 kg was moving at a speed of 10 m/s. Constant force acts for 4 s on the object and the speed of object was 2 m/s in opposite direction after the applied force was removed. Identify the correct statements.

• A. 3N
• B. -3N
• C. 30N
• D. -30N

Answer 1

Answer: (A), (D)

The correct options are
A

3N

D

-30N

Initial velocity u= 10m/s
Final velocity v= -2 m/s (since this velocity is in opposite direction of the initial velocity which is taken as positive)
t = 4 s
$a=\frac{v-u}{t}\Rightarrow a=\frac{-2-10}{4}\Rightarrow a=\frac{-12}{4}=-3m/s^{2}F=m\times a\Rightarrow F=1\times (-3)=-3\text{newtons}$
Here the minus sign indicates that the direction of force was opposite to the direction of initial velocity. Also, the magnitude of force was 3 N (magnitude is the absolute value).