PHYS 2001 Supplemental Instruction PHYSICS 2001 Week 5- Session 3: Kevin Dempsey Solve each problem within your groups. Ignore air resistance, remember your significant digits, remember to break down velocities into x & y components. Acceleration in the Y direction = 9.80 m/s/s downward unless otherwise specified. Show all your work, draw a diagram before you start. Equations: SECTION 1 Kinematics Review_______________________________________ 1. A diver dives off a 4.0 meter tall diving board at angle of 45 degrees (theta) below the horizontal at an initial velocity of 4.0 m/s. a. What are the X & Y components of the diver’s initial velocity? b. What is the diver’s final velocity in the X direction? c. How much time does the diver spend in the air before hitting the pool? d. What horizontal distance away from the diving board does the diver hit the water? KD857212@ohio.edu 1 PHYS 2001 2. Two rocks are thrown off a cliff 23.0 meter cliff at the exact same time. Rock A is thrown at an initial velocity of 18.0 m/s at an angle 15 degrees above the horizontal. Rock B is thrown at an initial velocity of 23.0 m/s at an angle 12 degrees above the horizontal. a. Which rock will hit the ground first? b. Which rock will hit the ground with a greater velocity in the Y direction? 3. Corey Kluber (Pitcher for the Cleveland Indians) can throw a fastball at about 93.0 mph. If he throws a horizontal fastball at this initial velocity then how much will the baseball drop by the time it reaches the catcher 19.0 m away? KD857212@ohio.edu 2 PHYS 2001 SECTION 2: Tension________________________________________________ 1. Three blocks are connected, as shown in the figure below, on a horizontal frictionless table and pulled to the right with a force (T1); the entire system is accelerating at 0.970 m/s/s. If m1= 12.0 kg, m2= 24.0 kg, and m3 = 31.0 kg. Calculate the force of tension in T1, T2, and T3. 2. The figure below shows a man sitting in a bosun's chair that dangles from a massless rope, which runs over a massless, frictionless pulley and back down to the man's hand. The combined mass of the man and chair is 95.0 kg. (a) With what force must the man pull on the rope for him to rise at constant speed? (b) What force is needed for an upward acceleration of 1.30m/s/s? *Draw a free body diagram KD857212@ohio.edu 3 PHYS 2001 SECTION 3- Multiple Choice Questions________________________________ 1. In order for a rocket ship in deep space, far from any other objects, to move in a straight line with constant speed it must exert a net force that is A. proportional to its mass B. proportional to its weight C. proportional to its velocity D. zero E. proportional to its displacement 2. If a book on the dashboard of your car suddenly flies towards you, the forward velocity of the car must have A. decreased B. increased C. changed direction to the right D. become zero E. changed direction to the left 3. A car traveling at 40 m/s strikes a mosquito. Which of the following is the true statement? A. The force on the mosquito is greater than the force on the car B. The force on the mosquito is equal to the force on the car C. The force on the mosquito is smaller than the force on the car D. The damage to the mosquito is equal to the damage to the car E. None from the above 4. The acceleration due to gravity is higher on Jupiter than on Earth. The mass and weight of a rock on Jupiter compared to that on Earth would be A. same, more B. same, less C. more, more D. more, less E. same, same KD857212@ohio.edu 4 PHYS 2001 5. An elevator of mass M is pulled upwards by a cable; the elevator has a positive increasing velocity. What is the tension in the cable (neglecting the mass of the cable)? A. less than zero B. between zero and Mg C. equal to Mg D. greater than Mg E. zero 6. An elevator of mass M is pulled upwards at constant velocity by a cable. What is the tension in the cable (neglecting the mass of the cable)? A. less than zero B. between zero and Mg C. equal to Mg D. greater than Mg E. zero 7. A boy rides a bicycle at a constant velocity. Which of the following about the net force is true? A. There is a net force acting in the velocity direction B. There is a net force acting in opposite to the velocity direction C. The net force is zero D. There is a net force acting perpendicularly to the velocity direction E. None from the above 8. An object is released from rest and falls in the absence of air resistance. Which of the following is true about its motion? A. Its acceleration is zero B. Its acceleration is constant C. Its velocity is constant D. Its acceleration is increasing E. Its velocity is decreasing KD857212@ohio.edu 5