Calculate the acceleration of a 1400-kg car that stops from 36 km/h \"on a dime\
ID: 2075153 • Letter: C
Question
Calculate the acceleration of a 1400-kg car that stops from 36 km/h "on a dime" (on a distance of 1.7 cm).Part A: Determine the acceleration of the car. Enter positive value if the direction of the acceleration is in the direction of the initial velocity and negative value if the direction of the acceleration is in the direction opposite to the initial velocity.
Part B: How many g's is the magnitude of the acceleration of the car?
Part C: What is the force felt by the 62 kg occupant of the car? Enter positive value if the direction of the force is in the direction of the initial velocity and negative value if the direction of the force is in the direction opposite to the initial velocity. Calculate the acceleration of a 1400-kg car that stops from 36 km/h "on a dime" (on a distance of 1.7 cm).
Part A: Determine the acceleration of the car. Enter positive value if the direction of the acceleration is in the direction of the initial velocity and negative value if the direction of the acceleration is in the direction opposite to the initial velocity.
Part B: How many g's is the magnitude of the acceleration of the car?
Part C: What is the force felt by the 62 kg occupant of the car? Enter positive value if the direction of the force is in the direction of the initial velocity and negative value if the direction of the force is in the direction opposite to the initial velocity.
Part A: Determine the acceleration of the car. Part A: Determine the acceleration of the car. Enter positive value if the direction of the acceleration is in the direction of the initial velocity and negative value if the direction of the acceleration is in the direction opposite to the initial velocity.
Part B: How many g's is the magnitude of the acceleration of the car?
Part C: What is the force felt by the 62 kg occupant of the car? Enter positive value if the direction of the force is in the direction of the initial velocity and negative value if the direction of the force is in the direction opposite to the initial velocity.
Explanation / Answer
According to the given problem,
a) The diameter of a dime is closer to 1.7 cm or 0.017 m than it is to 1.7 m
Using kinamatic equation,
v² = u² + 2ad
convert initial velocity from km/hr to m/s
0² = (36 / 3.6)² + 2a(0.017)
a = - 2941.176 m/s²
b) a = 2941.176 / 9.81 = 300 g's
c) The force felt,F = ma
F = - 62(2941.176)
F = - 182.35 kN