Answer: 3300 m/s
F = ma; units: N = kg(m/s/s); where F and a are both vectors, while m, t, and v (speed) are scalars
We are given the mass, force, and the time; however, speed is our unknown.
[F = 16500 N] [m = 10 kg] [t = 2 s] [v = unknown]
What we can do is use kinematics in order to relate v and t with F and m:
For example, we can use V = V₀ + at
Since F = ma can equal a = F/m, we can replace the a variable within the kinematics equation with F/m, so that:
V = V₀ + at
V = V₀ + (F/m)t
In this problem, we can assume the initial value V to equal 0, giving us:
V = (F/m)t
Plugging in the quantities we get:
V =
· 2s
V = 3300 m/s
To further check whether this is the right manipulated equation to use, we can use dimensional anaylsis to determine that:
V =
· s
V = m/s
I hope this helped!