Final answer:
To find the speed of Anissa after 2.0 seconds, we need to consider the forces acting on her due to gravity and friction. By calculating the force parallel to the slide using the coefficient of kinetic friction and the normal force, we can determine the acceleration of Anissa. Finally, using the equations of motion, we can find her speed after 2.0 seconds.
Step-by-step explanation:
To find the speed of Anissa after 2.0 seconds, we need to consider the forces acting on her. The force of gravity pulling her down the slide can be divided into two components: a force parallel to the slide and a force perpendicular to the slide. The perpendicular force is canceled out by the normal force, leaving only the parallel force to consider. This force can be calculated using the coefficient of kinetic friction.
The force parallel to the slide is given by the equation F_parallel = μ_k * N, where F_parallel is the force parallel to the slide, μ_k is the coefficient of kinetic friction, and N is the normal force. The normal force can be calculated using the equation N = m * g * cos(θ), where m is the mass of the object, g is the acceleration due to gravity, and θ is the angle of the slide.
Once we have the force parallel to the slide, we can use Newton's second law to find the acceleration of the object: F_parallel = m * a. Finally, we can use the equation v = u + a * t to find the speed of Anissa after 2.0 seconds, where v is the final velocity, u is the initial velocity (which is 0 since she starts from rest), a is the acceleration, and t is the time.
Plugging in the given values: μ_k = 0.15, m = 55 kg, g = 9.8 m/s^2, θ = 25 degrees, and t = 2.0 s, we can calculate the normal force, force parallel to the slide, acceleration, and final velocity.
The final velocity will depend on the length of the slide and other factors that are not mentioned in the question.