A simple pendulum has a length of 0.532 m. The pendulum bob of mass 40.0 x 10-³ kg is displaced 2.50 x 10² m from equilibrium and released. It then moves with simple harmonic motion (S.H.M.). a) i. Determine the time period of the pendulum. İİ. iii. iv. Determine the maximum acceleration of the pendulum bob. Sketch a graph to show how the acceleration varies with displacement for the pendulum. The graph should show both axes with labels and unit, appropriate values indicated on each axis and a line of best fit. Determine the total kinetic and potential energy of the pendulum bob.

An object is sliding across a frictionless surface at a velocity of 2.40 m/s toward the origin. When it is 6.0 m from the origin, it suddenly experiences an acceleration of -1.60 m / s. If the acceleration remains constant, what will its distance from the origin be when its velocity reaches -12.0 m/s? -80.65 m -37.2 m -40.43 m -16.40 m Next Page Page 6 of 10

4. Determine the maximum constant speed at which the 2.2-Mg car can travel over the crest of the hill at A without leaving the surface of the road. Neglect the size of the car in the calculation. y -y = 20 (1 ¬0 000) 100 m

Consider the trajectory diagram shown below for a horizontally launched projectile. On the diagram, draw vector arrows representing the vx and vy velocity components during the course of the motion. The length of the arrows should represent the magnitude of the velocity components. Label each component. (Note that the velocity components are already shown for the first position.)

3. One object dropped from the top of a tall building, and one second later a second object is dropped. Neglecting air resistance, the distance between the falling objects will a. Be constant b. Decrease c. Increase d. Depend on their weight e. Depend on the speed of the plane. Explain your reasoning:

q20

A 15 foot ladder is resting against the wall. The bottom is initially 10 feet away from the wall and is being pushed towards the wall at a rate of 4 ft/sec. How fast is the top of the ladder moving up the wall 12 seconds after we start pushing? 2.

35. A small block slides along the inside of a frictionless vertical circular track. At the high point of the motion the block's acceleration has magnitude 2g. What is the magnitude of the block's acceleration at the low point? a) 6g ☐ b) 5g c) 4g d) 3g e) 2g (numbers 36-37) An object's position versus time graph is shown.

QUESTION 19 When a car gets to the bottom of a hill, the driver releases the accelerator so that the car coasts up the hill. If the car reaches a vertical height of 10 m from the bottom of the hill, what was the initial speed of the car at the bottom? (Neglect rolling friction and assume that the car does not slide.) а. 14 m/s b. 10 m/s C. 16 m/s d. 18 m/s е. 12 m/s

FR2: A cat climbs up the side of a tree, tilted at a 10 degree angle relative to the vertical (the cat is on the top side). The cat’s claws dig into the tree bark, which pushes the cat up the tree. If the cat has a mass of 5 kg, how hard does it have to push into the tree in order to climb up at constant speed?