Answer:
167.354 m
Explanation:
We are given;
The mass of the car with bad shock;
m = 1500 kg
The distance at which the car sinks; x =
6 cm = 6 × 10^(−2) m
The total mass of 4 people; m_t = 11 kg
The total speed in the highway; V = 65
mph = 29.058 m/s
The spring's constant can be calculated from the formula;
F = Kx
F is also equal to mg.
Thus;
m_t × g = Kx
K = (m_t × g)/x
K = (11 × 9.81)/(6 × 10^(−2))
K = 1798.5 N/m
Mass of car and four people;m_(c+t) = 1500 + 11 = 1511 kg
Thus, the period cam be calculated from the formula;
T = 2π√((m_c+t)/k)
T = 2π√(1511/1798.5)
T = 5.759 s
the distance between adjacent bumps is calculated from;
Velocity = distance/time
Distance = velocity x time
Distance = 29.058 × 5.759
Distance = 167.354 m
