Question
To avoid an accident, a driver with a mass of 60 kg applies his brakes and decelerates ; from 30m/s to 1m/s in 2 seconds. How much force was absorbed by his seat belt?
Answer
4.7
(266 Votes)
Lydia
Master · Tutor for 5 years
Answer
Using these formulas, the force absorbed by the seatbelt is 870 Newtons.
Explanation
This question references Newton's Second Law of motion, which states that the force, F, experienced by a person is equal to the mass, m, times the rate of change of velocity or acceleration, a. That is,
. The acceleration, a, of an object changing its velocity, v, in a given time, t, is calculates as reduction in speed over time or
.The driver's change in velocity (Δv) equals to the initial speed (30 m/s) minus the final speed (1 m/s). So, Δv = 30 m/s - 1 m/s = 29 m/s. The given time interval as 2 seconds.Now we have all the necessary values to calculate acceleration
.With the driver's mass (60 kg) and the calculated acceleration (a), force (f,) can be calculated using the formula
.So, inserting the given numbers of
, we can calculate the total force absorbed by the seat belt."."