1. An object traveling at a constant speed of 22m/s begins to experience a force of 15N in the opposite direction of its motion. (Hint given: Start by finding objects acceleration)

a. How long will it take for the 8kg object to come to a complete stop once it experiences the force?
b. If the object was traveling in a straight line, how far did the object travel as it slowed down?

a = -F / m = -15 / 8 = -1.875m/s^2.

a. Vf = Vo + at,
t = (Vf - Vo) / a,
t = (0 - 22) / -1.875 = 11.73s.

b. Vf^2 = Vo^2 + 2ad,
Solve for d and get:
d = (Vf^2 - Vo^2) / 2a,
d = (0 - (22)^2) / -3.75 = 129.1m.

To answer both questions, we need to use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass.

a. To find the acceleration of the object, we need to calculate the net force acting on it. Since the applied force is in the opposite direction of the object's motion, the net force is given by:

net force = mass * acceleration

Rearranging the equation, we have:

acceleration = net force / mass

acceleration = -15N / 8kg (negative sign indicates opposite direction)

Simplifying, we find the object's acceleration is -1.875 m/s².

Next, to find the time it takes for the object to stop, we can use the kinematic equation:

velocity = initial velocity + (acceleration * time)

Since the object is coming to a stop, the final velocity will be 0 m/s. Rearranging the equation, we have:

time = (final velocity - initial velocity) / acceleration

time = (0 m/s - 22 m/s) / -1.875 m/s²

Simplifying, we find the time it takes for the object to stop is approximately 11.73 seconds.

b. To find the distance the object travels as it slows down, we can use the equation relating distance, initial velocity, acceleration, and time:

distance = initial velocity * time + (1/2) * acceleration * time²

Plugging in the values we know, we have:

distance = 22 m/s * 11.73 s + (1/2) * (-1.875 m/s²) * (11.73 s)²

Simplifying, we find the distance traveled by the object as it slows down is approximately 142.66 meters.