Leroy, who has a mass of 100 kg, is skateboarding at 9.0 m/s when he smacks into a brick wall and comes to a dead stop in 0.2 s.
..And?
To determine the force experienced by Leroy when he smacks into the brick wall and comes to a dead stop, we can use Newton's second law of motion which states that force (F) is equal to the product of mass (m) and acceleration (a), or F = m * a.
In this case, Leroy's mass is given as 100 kg, and he stops completely in 0.2 s. To find the acceleration, we can use the equation for acceleration, which is a = (vf - vi) / t, where vf is the final velocity, vi is the initial velocity, and t is the time taken. Since Leroy comes to a dead stop, his final velocity is 0 m/s, and his initial velocity is given as 9.0 m/s. Substituting these values in the equation, we get:
a = (0 m/s - 9.0 m/s) / 0.2 s
Simplifying this equation, we get:
a = -9.0 m/s / 0.2 s
a = -45 m/s²
The negative sign indicates that acceleration is in the opposite direction of Leroy's initial velocity.
Now that we have the acceleration (a), we can substitute this value along with the mass (m) into the equation to find the force (F):
F = m * a
F = 100 kg * -45 m/s²
Simplifying, we get:
F = -4500 N
Therefore, the force experienced by Leroy when he smacks into the brick wall and comes to a dead stop is -4500 Newtons. The negative sign indicates that the force is in the opposite direction of his motion.