1) A toy car is connected by a spring of spring constant k to a block of mass m. The car is parked on a slope with angle θ. (Both car and mass are at rest.
(i) Draw the free body diagrams of the block
(ii) What is the magnitude of the normal force of the ramp on the block?
(iii) What is the magnitude of the force of the spring on the block?
(iv) By what length ∆`p (p is for parked) is the spring stretched from its equilibrium length?
(v) Now let the car accelerate up the ramp with magnitude a, pulling the block after it with the same acceleration. By what length ∆`a (a is for accelerating) is the spring stretched now?