PLEASE ANSWER ASAP!!!!!!!!!! step by step
a) find the acceleration experienced by the driver of a car traveling at 50km/h if the car hits a pole and crumples 50cm.
b) repeat part a) for a car traveling 100km/h
a) Vo = 50 km/h = 13.89 m/s
T = "Crumpling time" = X/(Vo/2)
= 2*0.50 m/13.89 m/s = 0.072 s
(Vo/2 is the average speed of the car during crumpling)
Acceleration = Vo/T = Vo^2/(2X)
= 193 m/s^2
b) It is not reasonable to assume that the crumple distance will remain 50 cm at the higher speed. More information is needed.
can you explain it a bit clearer
v=50 km/h =50000/3600=13.89 m/s
For accelerated motion
s=vₒt+at²/2 … (1)
v=vₒ+at………(2).
Final v=0 => t= -vₒ/a.
Substitute “t” in (1)
a= - vₒ²/2•s= - (13.89)²/2•0.5=
= - 195.9 m/s²
To find the acceleration experienced by the driver of a car, we can use the formula for acceleration:
a = (v^2 - u^2) / (2s),
where:
a = acceleration,
v = final velocity,
u = initial velocity,
s = displacement.
Given that the car crumples 50 cm, we can convert it to meters by dividing by 100 (since 1 meter = 100 cm). Therefore, s = 50 cm / 100 = 0.5 m.
a) For a car traveling at 50 km/h:
1. Convert the velocity from km/h to m/s.
- Multiply by 1000/3600 to convert from km/h to m/s. (1000 m = 1 km, 3600 s = 1 h)
- v = 50 * (1000/3600) = 13.89 m/s.
2. The initial velocity (u) will be assumed as 0 since we don't have any information suggesting otherwise.
3. Plug the values into the acceleration formula and calculate.
- a = (v^2 - u^2) / (2s)
- a = (13.89^2 - 0^2) / (2 * 0.5)
- a = (193.21) / (1)
- a = 193.21 m/s^2.
Therefore, the acceleration experienced by the driver of the car traveling at 50 km/h is 193.21 m/s^2.
b) For a car traveling at 100 km/h:
1. Convert the velocity from km/h to m/s.
- v = 100 * (1000/3600) = 27.78 m/s.
2. The initial velocity (u) will again be assumed as 0.
3. Plug the values into the acceleration formula and calculate.
- a = (27.78^2 - 0^2) / (2 * 0.5)
- a = (771.68) / (1)
- a = 771.68 m/s^2.
Therefore, the acceleration experienced by the driver of the car traveling at 100 km/h is 771.68 m/s^2.