To calculate the force of friction acting on the mass, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration. In this case, the net force is the force of friction, and the acceleration can be determined using the initial velocity and the time taken to stop.
Given: Mass of the object (m) = 1 kg Initial velocity (u) = 10 m/s Time taken to stop (t) = 1 s
The final velocity (v) of the object can be calculated using the formula:
v = u + at
Since the object stops, the final velocity is 0 m/s, so:
0 = 10 + a * 1
Solving for acceleration (a):
a = -10 m/s²
The negative sign indicates that the acceleration is opposite to the initial direction of motion, i.e., deceleration or retardation.
Now, we can calculate the force of friction (F) using Newton's second law:
F = m * a
F = 1 kg * (-10 m/s²)
F = -10 N
The force of friction acting on the mass is 10 Newtons, directed opposite to the initial motion of the object.