AP Free Response Question
2002 C1
Printer Friendly Version
A crash test car of mass 1,000 kg moving at constant speed of 12 m/s collides completely inelastically with an object of mass
M
at time t = 0. The object was initially at rest. The speed
v
in m/s of the carobject system after the collision is given as a function of time
t
in seconds by the expression
Calculate the mass
M
of the object.
Assuming an initial position of x = 0, determine an expression for the position of the car object system after the collision as a function of time
t
.
Determine an expression for the resisting force on the car object system after the collision as a function of time
t
.
Determine the impulse delivered to the car object system from t = 0 to t = 2.0 s.
Topic Formulas
Description
Published Formula
angular displacement
angular momentum
angular velocity
center of mass
centripetal acceleration
friction
gravitational force (vector)
gravitational potential energy
Hooke's Law
impulse
kinetic energy
linear momentum
linear velocity and angular velocity
moment of inertia
net torque
Newton's 2nd Law
Newton's Law of Universal Gravitation
period and frequency
period of a simple pendulum
period of a spring
potential elastic energy
potential energy
power (dot product)
rate of change of momentum
rate of change of work
rotational kinetic energy
torque
uniform acceleration  displacement and instantaneous velocity
uniform acceleration  instantaneous position
uniform acceleration  instantaneous velocity
work (dot product)
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