On applying conservation of energy that is loss in kinetic energy= Gain in spring potential energy
Therefore
where x is the compression of spring in meteres.
Given v=
=
K=
m=

we get
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Q2 Car bumpers are designed to limit the extent of damage to the car in the...
A car is equipped with a bumper designed to absorb collisions. The bumper is mounted to the car using pieces of flexible tubing. Upon collision with a rigid barrier (e.g. brick wall), the bumper is designed so that a constant horizontal force is developed. If the car is initially traveling at 1.5 m/s when it collides with a rigid brick wall, compute the magnitude of the distance needed to stop the car and cause the deformation of the bumper tubing....
Your design requires that the magnitude of the work done by this
device to be equal to ??, where ?? ? ?, from the initial contact to
the maximum compression of the bumper spring. What is the magnitude
of ?? Important Hint: Δ?, the maximum compression, will change with
the energy dissipation device.
2, Figure 1: Figure 2: Consider the model above for an elastic collision used to design bumpers on cars. Car 1 with the bumper (a spring) has...
2. Suppose a car travels 108 km at a speed of 20.0 m/s, and uses
2.20 gallons of gasoline. Only 30% of the gasoline goes into useful
work by the force that keeps the car moving at constant speed
despite friction. (The energy content of gasoline is 1.3 ✕
108 J per gallon.)
(a) What is the force exerted to keep the car moving at constant
speed?
N
(b) If the required force is directly proportional to speed, how
many...