To find the friction coefficient when a body undergoes uniform deceleration and comes to a stop after a given time and distance, you can use the following steps:
Determine the initial velocity of the body. Since the body comes to a stop, the initial velocity will be the final velocity at the moment when the body starts decelerating.
Calculate the deceleration (negative acceleration) of the body using the formula: a = (v_f - v_i) / t, where a is the deceleration, v_f is the final velocity (zero in this case), v_i is the initial velocity, and t is the given time.
Calculate the distance traveled during deceleration using the formula: d = (v_i * t) + (0.5 * a * t^2), where d is the distance traveled during deceleration.
Use the equation for frictional force: F_friction = m * a, where F_friction is the frictional force, m is the mass of the body, and a is the deceleration calculated in step 2.
Finally, find the friction coefficient (μ) using the equation: F_friction = μ * N, where N is the normal force acting on the body. In this case, the normal force is equal to the weight of the body, N = m * g, where g is the acceleration due to gravity.
By following these steps and plugging in the given values, you can find the friction coefficient for the specific scenario you described.