To determine the mass of the body, we can use the equation that relates force, mass, and acceleration: F = m * a. In this case, since the force and distance are given, we can calculate the acceleration first and then use it to find the mass.
Given: Force applied (F) = 100 N Distance covered (d) = 100 m Time taken (t) = 10 s Static friction (f friction) = 20 N
First, let's calculate the acceleration (a): We can use the equation for acceleration, which relates acceleration, initial velocity, final velocity, and time:
a = (v_f - v_i) / t
Since the object starts from rest and moves at a constant velocity after overcoming static friction, the final velocity (v_f) is equal to the distance divided by time (d / t):
v_f = d / t v_f = 100 m / 10 s v_f = 10 m/s
The initial velocity (v_i) is 0 m/s.
Now, we can calculate the acceleration:
a = (10 m/s - 0 m/s) / 10 s a = 1 m/s²
Next, let's determine the net force acting on the body (F_net). The net force is the force applied minus the force of static friction:
F_net = F - f_friction F_net = 100 N - 20 N F_net = 80 N
Finally, we can find the mass (m) using the equation F = m * a:
m = F_net / a m = 80 N / 1 m/s² m = 80 kg
Therefore, the mass of the body is 80 kg.