Physics Lab – I Problems 1.) A series of wrenches of different lengths is used on a hexagonal bolt, as shown below. Which combination of wrench length and Force applies the greatest torque to the bolt? 2.) A certain star, of mass m and radius r, is rotating with a rotational velocity ω . After the star collapses, it has the same mass but with a much smaller radius. Which statement below is true? a. The star's moment of inertia I has decreased, and its angular momentum L has increased. b. The star's moment of inertia I has decreased, and its angular velocity ω has decreased. c. The star's moment of inertia I remains constant, and its angular momentum L has increased. d. The star's angular momentum L remains constant, and its rotational kinetic energy has decreased. e. The star's angular momentum L remains constant, and its rotational kinetic energy has increased 3.) A simple pendulum has a frequency of 0.2 Hz on Earth. It is brought to Mars where g is 38% of its value on Earth. What will be the pendulum’s frequency on Mars? A. 0.12 Hz. B. 0.2 Hz. C. 0.08 Hz. D. 0.52 Hz. E. 0.32 Hz. 4-) A simple pendulum has a period T on Earth. If it were used on Planet X, where the acceleration due to gravity is 3 times what it is on Earth, its period would be: A) T/3 B) 3T C) T D) (3)0,5T E) T/ (3)0,5 5-) What will be happen, when a ring and a disc which are equal diameter and equal mass (inertia) will drop in the same time on a inclined plane. (Note that: Iring > I disc) 1 6.) Calculate the angular momentum of disk about center of mass, and disk about diameter. [I 1 = (1/2)Mr2, I2 = (1/4)Mr2, 1 = 2 = 10 rad/s) ] 7.) A ball is thrown horizontally from a heigh “h” with initial speed V0. Find the V0 with only using g, L, and . 8.) Match the true definition with the true explanation. Definition Explanation 1- Frequency Matching A - the resistance an object has to a change in its state of motion. 1-? B- It is a vector quantity that represents the product of a body's rotational inertia and rotational velocity about a particular axis. C - is the mass property of a rigid body that determines the torque needed for a desired angular acceleration about an axis of rotation. D – An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force. 2-? 5- Period E- it is the number of occurrences of a repeating event per unit time. 5-? 6 - Moment of inertia F- the time taken for one full oscillation 6-? 7 - Diffraction G – it refers to various phenomena which occur when a wave encounters an obstacle or a slit. In classical physics, the phenomenon is described as the interference of waves according to the Huygens Fresnel principle 7 2- Newton's first law of motion 3 - Angular momentum 4- Inertia 2 3-? 4-? -? 8) A careless student completed an experiment (horizontal shoot) and measured x=5m, y0=5m. Then he calculated the initial velocity of ball is 5 m/s. But the real velocity value is 3 m/s. What mistakes may this boy do? Calculate and review the experiment with yourself. Which measurements should be wrong or true…? What could be the true values of x or y0 or both of them? (g = 10 m/s2) Measurements: y0= 5 m, x= 5 m y0 x 9) 10) The graph shows the velocity of a particle as a function of time. According to the graph a-) the time interval between 0-5 seconds, the object’s velocity is ________ b-) the time interval between 0-5 seconds, the object’s acceleration is ________ c-) the time interval between 5-8 seconds, the object’s acceleration is ________ d-) the time interval between 5-8 seconds, the object’s velocity is ________ e-) the time interval between 8-14 seconds, the object’s velocity is ________ f-) the time interval between 8-14 seconds, the object’s acceleration is ________ 3 11) Two balls, projected at different times so they don't collide, have trajectories A and B, as shown below. Which statement is correct? a. v0B must be greater than v0A. b. Ball A is in the air for a longer time than ball B. c. Ball B is in the air for a longer time than ball A. d. Ball B has a greater acceleration than ball A. e. Ball A has a greater acceleration than ball B. 12.) The following measurements were taken in an experiment. T (s) is period of a simple pendulum, and L (m) is height of it. Answer the questions about given graphics. a) Which quantity should be on the x-axis, write on the graph. b) Which quantity should be on the y-axis, write on the graph. c) According to the given formula (y=….) If A =2,0001 what is the unit of A? d) If B= 0,5077 what is the SI unit of B? e) Write the general form of the equation with using A, B, T, L L(m) T(s) 0,5 1,42 0,6 1,55 0,75 1,74 0,85 1,85 0,9 1,90 1,3 2,29 1,7 2,62 2,1 2,91 4 5