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# How does kinetic energy affect the stopping distance of a vehicle traveling at thirty mph compared to the same vehicle traveling at sixty mph?

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## Related Questions

###### Asked in Physics, Science

### How does the mass of object affect stopping distance?

With a given braking system (car or rocketship), the system has
to dissipate the Kinetic energy of the object. Kinetic formula for
K.E. is 1/2MV2 (that 2 means squared). Therefore, the stopping
distance increases linearly with the MASS.
Another way to look at it is the Force required to stop the
MASS, which is:
F=M x A, so again as MASS increases the required Force increases
Linearly.

###### Asked in Math and Arithmetic, Physics

### Why if the speed of a car is doubled its braking distance is much more than doubled?

Because kinetic energy KE ~ V^2 (varies as the square of the
speed). So ke ~ v^2 and KE ~ V^2 and when V = 2v, doubled, we have
KE/ke = (V/v)^2 = (2v/v)%2 = 4 so that KE = 4 ke. QED. The new
kinetic energy is four times the old.
And, ta da, that means there is four times as much energy for
the brakes to sap and reduce to zero kinetic energy, which means V
= 0 is the end speed (stopped). So by the work function, which you
should know by now, we have WE = FS where F is the braking force
(friction) and S is the stopping distance. We assume the braking
force remains the same for both speeds.
Then KE - WE = 0, meaning the kinetic energy is sapped by the
work so there is none left. And we have KE = WE = FS; so S = WE/F =
KE/F and the stopping distance varies as the kinetic energy. So
when the speed is doubled and the kinetic energy is quadrupled, the
stopping distance is quadrupled because there is now four times as
much kinetic energy to expend in stopping. QED.

###### Asked in Physics

### If you double the speed of a car you increase its force of impact by how many times?

By a factor of 4. Kinetic energy is proportional to the square
of the distance. (The formula for kinetic energy is 1/2 times mass
times velocity squared.)
By a factor of 4. Kinetic energy is proportional to the square of
the distance. (The formula for kinetic energy is 1/2 times mass
times velocity squared.)
By a factor of 4. Kinetic energy is proportional to the square of
the distance. (The formula for kinetic energy is 1/2 times mass
times velocity squared.)
By a factor of 4. Kinetic energy is proportional to the square of
the distance. (The formula for kinetic energy is 1/2 times mass
times velocity squared.)

###### Asked in Energy, Fluid Dynamics, Kinematics

### What is kinetic energy loss?

The braking force x stopping distance (assuming constant
braking force) is equal to the loss of kinetic energy of the
vehicle.
And if it's not constant, you can integrate the dot product of
the force vector and the differential x-vector.
If you want the power of heat generation, you will need to find
how much energy is being dissipated (i.e. how much kinetic energy
is lost) per unit of time.

###### Asked in Physics, Energy, Kinematics

### Which has the most kinetic energy a 1000 kg car traveling 30 ms or a car traveling 45 ms?

I suggest you calculate the kinetic energy for each case, then
compare. The formula for kinetic energy is (1/2) m v squared.
_______________________________________
For having the same mass for both velocities, the car moving
with velocity 45 meter per second will be having higher kinetic
energy as the kinetic energy is directly proportional to the square
of the velocity for equal mass.

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