Answer:
Force of impact, F = 8 N
Explanation:
It is given that,
Mass of the paper, m = 0.01 kg
Initial speed of the paper, u = 0
Final speed of the paper, v = 40 m/s
Time taken, t = 0.05 s
Firstly finding the acceleration of the paper using the equation of kinematics as :
[tex]a=\dfrac{v-u}{t}[/tex]
[tex]a=\dfrac{40\ m/s-0}{0.05\ s}[/tex]
[tex]a=800\ m/s^2[/tex]
Let F is the force of impact on the paper. It is equal to the product of mass and the acceleration as :
[tex]F=m\times a[/tex]
[tex]F=0.01\ kg\times 800\ m/s^2[/tex]
F = 8 N
So, the force of impact on the paper is 8 N. Hence, this is the required solution.