1) In a head-on collision, a car stops in 0.19s from a speed of 26m/s The...
Homework Answers
The concepts used to solve this problem are momentum and applied force.
Use the relation between velocity and time to find the acceleration and use the newton’s second law of motion to calculate the force applied to the driver by the seat belt during that fraction of time.
From kinematics equation, the expression for the acceleration is,
Here, a is the acceleration, v is the velocity of the car, and t is the time.
Momentum measure the motion content of the object which is nothing but the product of mass and velocity.
Expression for the momentum of the object is,
Here, p is the momentum, m is mass, and v is the velocity.
Newton’s second law describes the relation between force and acceleration and it is expressed as:
Here, F is the Force applied and m is the mass of the car.
Substitute 
for a.
Substitute p for mv.
(1)
The car stops in the given time from the velocity in a head collision where the driver tightly trapped into the seat.
Expression of the force applied to the driver by the seat belt during that fraction of time is,
Substitute 
for m, 
for v, and 
for t.
(2)
Expression of the force applied to the driver by the seat belt during that fraction of time is,
Substitute 
for m, 
for v, and 
for t.
The force applied to the driver by the seat belt during that fraction of time is 
.
The force applied to the driver by the seat belt during that fraction of time is 
.
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