Question

b) For the car cruise control, the momentum loss due to air resistance and rolling is proportional to the velocity of the car as shown in the figure below, where u is the force of the engine and b is the resistance coefficient. u m bv Obtain the differential equation of the cruise control model and use the Laplace transform technique to determine the velocity of the car at any time interval. Assume that: m = 1000 kg b = 50 N.sec/m u = 500 N [10 marks]

          b) For the car cruise control, the momentum loss due to air resistance and rolling
is proportional to the velocity of the car as shown in the figure below, where u
is the force of the engine and b is the resistance coefficient.

u
m
bv
Obtain the differential equation of the cruise control model and use the
Laplace transform technique to determine the velocity of the car at any time
interval.
Assume that:
m = 1000 kg
b = 50 N.sec/m
u = 500 N
[10 marks]

b) For the car cruise control, the momentum loss due to air resistance and rolling
is proportional to the velocity of the car as shown in the figure below, where u
is the force of the engine and b is the resistance coefficient.

u
m
bv
Obtain the differential equation of the cruise control model and use the
Laplace transform technique to determine the velocity of the car at any time
interval.
Assume that:
m = 1000 kg
b = 50 N.sec/m
u = 500 N
[10 marks]

Added by Robert H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adriano Chikande

Step 1

For a car with cruise control, the net force acting on the car is the difference between the force of the engine (F) and the resistance force (which is proportional to the velocity, v, with b as the resistance coefficient). This can be written as: \[ F - bv = m Show more…

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The force of the engine is denoted by F and the resistance coefficient is denoted by b. Obtain the differential equation of the cruise control model and use the Laplace transform technique to determine the velocity of the car at any time interval. Assume that: m = 1000 kg, b = 50 NÂ·sec/m, U = 500 N.