So, to calculate the force in newtons [N] I need to know both the mass and acceleration of the object (the paper) and then to multiply these two values together.
The mass of the paper we know, m = 0.0045 kg
The acceleration (a) we need to calculate. Acceleration is defined as the change in velocity per some time interval. So, we go from an initial velocity (vi) of 0 m/s (at rest) to a final velocity (vf) of 35 m/s. I takes the paper 0.050 seconds to go from this initial to final velocity. The change in velocity, sometimes written delta velocity, is calculated by taking the final velocity (vf) and subtracting the initial velocity (vi).
So acceleration (a) is equal to...
a = (vf - vi) / t
where t is the time
a = (35 m/s - 0 m/s) / 0.050 s =
Now we have mass and acceleration, simply multiply them together to get the force...
F = m*a = 0.0045 kg * 700 m/s^2 =
Mar 3rd, 2015
Does that explanation help? Did you have a another similar problem but with different values for mass and velocities?