EXPERIMENTAL REPORT department of general physics

111Equation Chapter Section HANOI UNIVERSITY OR SCIENCE AND TECHNOLOGY SCHOOL OF ENGINEERING PHYSICS -    - EXPERIMENTAL REPORT Department of General Physics Instructor: Prof Dr Dang Duc Dung Name: ID: Group: Class: 708605 Hanoi, 2022 CONTENTS Experiment 1………………………………………………………………3 Experiment 2………………………………………………………………8 Experiment 3………………………………………………………………16 Experiment 4………………………………………………………………24 Experiment 5………………………………………………………………41 Experiment 6………………………………………………………………45 Experimental Report MEASUREMENT OF BASIC LENGTH Verification of the instructors I PURPOSE OF EXPERIMENT: - To know how to use Vernier Caliper and Micrometer - Understanding how to read a Vernier Caliper and a Micrometer II THEORETICAL BACKGROUND: Vernier Caliper:  To read result with a Vernier caliper, we need to use this equation: D = n.a + m.∆ (mm) - n be the number of divisions on the main rule - m be the number of divisions on the Vernier scale - a is the value of a division on main rule - ∆ is the Vernier precision ∆ = 1/N Micrometer:  To read result with a micrometer, following equations: D = n.a + m.∆ (mm) (1) or D = n.a + m.∆ +0,5 (mm) (2) - n be the number of division on the sleeve (top half) - m be the number of division on thimble except the 0-mark - a is the value of a division on sleeve- main rule - ∆ is the Vernier precision and also corresponding to the value of division on thimble  If the distance between thimble and line on top half of main rule is closer than bottom half then we use (1)  If the distance between thimble and line on bottom half is closer than top then we use (2) Calculate the volume and density of the metal hollow cylinder and the volume of the steel ball:  To calculate volume of metal hollow cylinder we use the following equation: - V is the volume of metal hollow cylinder - D is external diameter of metal hollow cylinder - d is internal diameter of metal hollow cylinder - h is the height of metal hollow cylinder  To calculate density of metal hollow cylinder we use the following equation: - is the density of metal hollow cylinder - M is the mass of metal hollow cylinder - V is the volume of metal hollow cylinder  To calculate the volume of steel ball we use the following equation: - Vb is the volume of steel ball - Db is the diameter of steel ball III EXPERIMENTAL PROCEDURE: Metal hollow cylinder: - Step 1: Use Vernier caliper measure the height, external and internal diameter of metal hollow cylinder (5 trials) - Step 2: Write all the measurement results in data sheet Steel ball: - Step 1: Use the micrometer measure the diameter of steel ball (5 trials) - Step 2: Write all the measurement results in data sheet IV EXPERIMENTAL RESULTS: Metal hollow cylinder: = 0.02 mm Trials Height Internal Diameter External diameter h (mm) d (mm) D (mm) 8.00 35.32 43.34 7.96 35.36 43.36 7.96 35.34 43.38 7.98 35.32 43.34 8.00 35.30 d  = 35.33 43.36 =7.98 ∆h = ∆d = = 0.02 D=43.36 ∆D = = 0.01 Steel ball: = 0.02 mm Trials Diameter Db (mm) 10.00 9.97 9.98 9.97 9.97 Db = 9.98 ∆Db = = 0.01 V Data processing: Calculate the volume and density of the metal hollow cylinder a Volume: V = ( D2 – d2 ).h = ( 43.362 – 35.332 ) 7.98 = 3960.30 ( mm3 ) = 3.9610-6 (m3)  ∆V = V = V = 3960.30 = 16.05 ( mm ) = 0,02 10 −6 ( m 3) Hence: V = ( 3.96± 0.02) 10 −6 ( m ) b Density: ρ = = = 22.58x ( kg/  ∆ρ = ρ = 22.58 = 0,11 (kg/ Hence: ρ = ( 22.58 ) ( kg/) Calculate the volume of steel ball Vb = π.Db = = 520.20 (mm 3) = 0,52 (m3)  ∆Vb = Vb = 520.20 = 1.74(mm3 ) = 0,002(m3) Hence: V = ( 0,52 0,002) (m3) Experimental Report VERIFICATION OF CONSERVATION OF MOMENTUM AND KINETIC ENERGY USING AIR TRACK Verification of the instructors I PURPOSE OF EXPERIMENT - Understanding more about conservation of momentum and kinetic energy - Improving experimental skills II THEORICAL BACKGROUND Momentum and conservation of momentum: - The momentum of a particle is a vector quantity equal to the product of the particle’s mass m and velocity - Newton’s second law says that the net force on a particle is equal to the rate of change of the particle’s momentum Elastic and inelastic collision 2.1 Elastic collision - In any collision in which external forces can be neglected, momentum is conserved and the total momentum before equals the total momentum after: - In elastic collisions only, the total kinetic energy before equals the total kinetic energy after: 2.2 Inelastic collision - Conservation of momentum gives the relationship: III EXPERIMENTAL PROCEDURE Preparation - Set up the equipment so that the glide will be stationary in the center of the track between the gates () and the glide is placed in one end of the track - Make several trial runs of the collision before doing any measurements Elastic collision - Step 1: Gently push the glide 1, from one end to make it moving to the right (direction of the arrow) toward the steel spring fixed onto the air track Quickly record the moving time displayed on the first digital timer The glide will collide with the glide in the middle Two glides bounce apart and go through the photogates, recording both the time displayed on the second timer and the total time on the first timer The moving time of the glide after collision () is determined by subtract from the total time - Step 2: Repeat the measurement procedure for more times and record all the measurement results in a data sheet Inelastic collision - Step 1: Attach a piece of clay on one end of glide facing to glide to make them stick together after collision - Step 2: Perform measurement procedure and record the moving time of two glides before and after collision - Step3: Repeat the measurement procedure for more times and record all the measurement results in a data sheet IV Experimental result Elastic collision ,, Tr ial (s) (s) (s) (s) 0.171 0.166 0.174 0.169 0.170 0.171 0.170 0.258 0.255 0.255 0.256 0.256 0.255 0.255 0.821 0.725 0.797 0.8 0.796 0.805 0.799 0.650 0.559 0.623 0.631 0.626 0.634 0.629 0.165 0.173 10 0.171 0.257 0.257 0.257 0.744 0.840 0.803 0.609 0.667 0.632 Inelastic collision ,, Trial 10 (s) 0.262 0.264 0.249 0.248 0.267 0.259 0.263 0.248 0.248 0.262 (s) 0.403 0.449 0.436 0.448 0.451 0.392 0.442 0.442 0.428 V Data processing Elastic collision 1.1 Momentum - Before collision: Hence, 10 ... occurring before 13 Experimental Report MOMENT OF INERTIA OF THE SYMMETRIC RIGID BODIES Verification of the instructors I PURPOSE OF THE EXPERIMENT - Calculating the moment of the inertia in the... 3.1 Moment of inertia obtained by experiment +) Moment of inertia of the support disk +) Moment of inertia of the coupled object (support disk + hollow cylinder) => Moment of inertia of the hollow... and experimental number: 19 Experimental Report DETERMINATION OF GRAVITATIONAL ACCELERATION USING SIMPLE PENDULUM OSCILLATION WITH PC INTERFACE Verification of the instructors I PURPOSE OF THE