Final answer:
To calculate the force the seatbelt exerts on a passenger in the car to bring him to a halt, we can use Newton's second law of motion. Using the given values, we can calculate the deceleration, time it takes for the car to stop, initial kinetic energy of the car, and the deceleration of the car.
Step-by-step explanation:
To calculate the magnitude of the force the seatbelt exerts on a passenger in the car to bring him to a halt, we need to use Newton's second law of motion which states that force is equal to mass times acceleration.
Given: initial velocity (v0) = 11 m/s, final velocity (v) = 0 m/s, time (t) = 0.34 s, and mass (m) = 69.5 kg.
a) The deceleration can be calculated using the equation: acceleration (a) = (v - v0) / t. Substitute the given values into the equation and calculate the deceleration.
b) To determine the time it takes for the car to come to a complete stop, we substitute the calculated deceleration and the initial velocity into the equation: time (t) = (v - v0) / a.
c) To find the initial kinetic energy of the car, we can use the formula: kinetic energy (KE) = 0.5 * mass * velocity2. Substitute the given mass and initial velocity into the equation and calculate the initial kinetic energy.
d) The deceleration of the car is the negative value of the calculated deceleration.