How To Find Acceleration In A Pulley System With Friction

is constant acceleration x x 0 v 0x t 1 2 a x t 2 v x v 0x a x t v x 2 v 0x 2 2a x (x x 0) Constant acceleration x x 0 v x t Constant velocity Newton's 3rd law F r m v2 R; F tan ma tan; F z ma z Coordinate system is NOT constant, it rotates!! CH 4-5: Newton's laws of motion •They are the ones from which you find the acceleration of. When non-parallel loads are being lifted via a pulley system, the rope's tension is changed as the gravity force on the weight has changed, as has the pulling force. 8 [m/s/s] = net applied force. If the mass of block A was increased what would happen to the acceleration of the system? 'e less c. 3 cm in diameter and having pedal cranks that are 17. Work properly defined is the force along the direction of displacement multiplied by the magnitude of the displacement, s: Say that you use a rope to drag a gold ingot, and the rope is at an angle of 10 degrees from the ground instead of parallel. A 70 kg box is pulled by a 300 N force at an angle of 300 above the horizontal. This example problem shows how to find the acceleration of an Atwood system and the tension in the connecting string. We use the following general procedure to solve problems like this (1) Decide how to idealize the system (as one or more particles). Last Revised on January 8, 2015 Grade: _____ Experiment 2 Acceleration of Gravity 1. The block on the table has mass m 1 = kg and the hanging block has mass m 2 = kg. 14, (m1 = 28. 5kg by a light inextensible string which lies along a line of greatest slope of the plane and passes over a fixed smooth pulley at the. (a) Assuming the kinetic coefficient of friction between steel and stone is 0. The pulley is fixed, and the string can slide over the pulley. ) will form at its lower end. Let us take the downward direction as positive. good data region. Record the value of the acceleration for the block with different mass. Moving pulley system. The lightest is placed on the ground and the. What is the acceleration of the system?. Physics-how to find the acceleration and tension in the cords of a three block pulley system? The suspended 2. Assuming that the frictional force. (b) If the coefficient of kinetic friction is 0. Find friction force, given mass and coefficient of friction » Find coefficient of friction, given force and mass Q: An engine provides 5. The fixed pulley when attached to an unmovable object e. The Photogate/Pulley System uses a photogate head to monitor low-friction pulley rotation, providing a simple, versatile sensor. 600m/s2 is observed for block 2. Without friction, the acceleration in the system is shown by the equation: Step 2. Figure P10. A string is placed over the pulley and its free ends are connected to masses of 12 kg and 8 kg. Within this range, you should be able to position the cart anywhere along and have it not the track move. It is due to dissipation of energy from making and breaking contact between object and surface. After recording 𝑚block, 𝑚hang. It also discusses how determine the tension in the rope. Block 1, of mass m 1 = 0. Find the angle of the plane where the block just starts to move. Find the acceleration of the 5. 2 Apparatus. In the case of Fletcher's Trolley, these parameters are the masses of the two blocks and the magnitude g of the acceleration due to gravity. The Newton's Second Law experiment provides the student a hands on demonstration of "forces in motion". Connect string to cart and hang 100 gram mass over edge of pulley. AP Physics C Dynamics Free Response Problems 1. Full Question: A particle A of mass 2. The block rests on a rough (coefficient of static friction is 0. Acceleration only occurs when the velocity of the object changes. High-efficient ball bearing pulley system for tensiong longlines. 786 14 µ= ≈ A B α P. 300, an acceleration of magnitude a =. Using graph paper, make a graph of the dependant variable vs. All the surfaces are frictionless and strings and pulley are light. Calculating acceleration of pulley system; Tension on a pulley in a pulley system; Find Tension of a Pulley System (Pulley is not massless). After recording 𝑚block, 𝑚hang. (a) Find the value of M1 for which the two blocks are in equilibrium (no acceleration). The proportionality constant is the coefficient of friction, µ k. calculation of acceleration 'a' calculation of tension 'T' Example. But in real life, there will be some friction which acts to slow the cart down. Q: A ball of mass 5 kg and a block of mass 12 kg are attached by a lightweight cord that passes over a frictionless pulley of negligible mass as shown in the figure. M T 5 T 4 T 3 T. You can mark your answers in the exam form too, and keep it for reference. Place wood stopper block in front of pulley to stop the cart from smashing it. Tie the cord to the cart and pass the cord over the pulley and attach a weight hook to the cord. The Atwood Machine is a coupled system of two weights sharing a connecting string over a pulley. By varying the angle of the incline and measuring the acceleration, the acceleration due to gravity g can be determined. The acceleration is determined by Newton's 2 nd law. NEWTON'S 2ND LAW: MASS-ACCELERATION RELATIONSHIP DIRECTIONS: 1. We ignore the mass of the cord and pulley and any friction in the pulley, which means we can assume that a force applied to one end of the cord will have the same magnitude at the other end. (b) If the coefficient of kinetic friction is 0. So for a real pulley, Fd = Wh + Work done against friction. This physics video tutorial explains how to calculate the acceleration of a pulley system with two masses with and without kinetic friction. For an angle of θ = 30. We ignore the mass of the cord and pulley and any friction in the pulley, which means we can assume that a force applied to one end of the cord will have the same magnitude at the other end. Our lab uses the force of gravity in order to find the maximum static friction force on an object before it turns into kinetic friction. Later, we will vary the mass of the moving system while holding the force constant. Consider the mass and pulley system shown. 1 x 104 kg and takes off under the influence of a constant net force of 3. The acceleration of the 5. While you are pulling, record the motion using the rotary motion sensor. 5 kg, m2 = 10 kg, mpulley = 8 kg), what fraction of the total kinetic energy resides in the pulley. The formula is acceleration (a) equals friction (F) divided by its mass (m) or a = F ÷ m as per Newton's second law. In other words you can find the mechanical advantage of a pulley system by applying a weight to the system and then determining the amount of. 1 (steel wheels on rails: ~ 0. (The pulley is assumed here to have zero. a) Find the force of friction. 010 m/s 2 , to assure an almost constant velocity motion. Find the acceleration a and tension T in terms of m. 05, mA = 2 kg and mB = 2 kg. To determine the required motor drive torque for a belt and pulley system, calculate the torque required acceleration, constant velocity, and deceleration. Find the angular acceleration α of the system by finding the slope of the best-fit line through the velocity ω(t) data. 0 kg, and the worker is exerting a force of 400. 2 units of force in the F. Plot one line with your calculated acceleration in. , its length increases by a negligible amount because of the weight of the block). A block of mass is sliding down the plane, as shown. Determine the angular acceleration of the body (a) about an axis through point mass A and out of the surface and (b) about an axis. This block is attached to a string that passes over a pulley, and the other end of the string is attached to a hanging 2. Now if the pulley is not frictionless (there is friction between the pulley and the cord), then the man must apply a greater force in order to support the box (because you are supporting the box and some of your force is dissipated due to friction) (the system here is also in equilibrium). Formula 2 Frictionless pulley, m 1 > m 2, m 1 moves down, m 2 moves up, the acceleration: Formula 3 A block in frictionless incline surface, without pulley Formula 4. Physics-how to find the acceleration and tension in the cords of a three block pulley system? The suspended 2. Thus, the only forces exerting torques are F 1 and F 2. (Block m1 is on a table, block m2 is not, the pulley system is like a right angle) The coefficient of static friction between m1 and the table is 0. Example with pulley l A mass M is held in place by a force F. b) with an upward acceleration of 1. In the system of connected bodies in figure the coefficient of friction is 0. For any particular conveyor, there will be a certain amount of power required to move its load. ” Does the shape of your graph confirm the relationship between acceleration and net force that Newton’s 2nd Law. In this problem, you are asked to relate motion (the acceleration of the two blocks) to force (tension in the rope, friction). So for a real pulley, Fd = Wh + Work done against friction. To find T, let's consider the FBD of m friction, and that the pulley. (a) Draw free-body diagrams for each of the two blocks and the pulley. Find the acceleration of the 5. Two blocks are connected by a rope, through a pulley as shown in this figure. gravity, tension, normal force. Run Acceleration (“a2”) µk 1 m/sec/sec 2 m/sec/sec DATA TABLE: PART IIIB – Different Mass of Block 8. m 2 of friction is = x, where x is the distance travelled along the 147. The coefficient of static friction is μs, between block and surface. In this video David explains how to find the acceleration of two masses hanging from a pulley (using the easy method). The cord has negligible mass. Calculate the magnitude of acceleration of the system. The two regimes of dry friction are 'static friction' ("stiction") between non-moving surfaces, and kinetic friction (sometimes called sliding friction or dynamic friction) between moving surfaces. Only the middle one sits in the middle of the table while block 1 which has a mass of 4kg is off the table on the left hand side hanging. Find the acceleration of the two block system in m/s2. 1) To use this equation, look up a set of motors you think will work for your robot and write down the torque and rps (rotations per second) for each. Notice that the extension of the y-axis to the horizontal, the horizontal, and the inclined plane itself form a right angle triangle with known angles, 90 0, 90 0 - q, and q. Which of the following is a way of maximizing the system's acceleration? You would then be given options like "maximize M and m and minimize ," or "maximize and m and minimize M. Given: since the force of 10N was applied when the body was just about to move, then the static or limiting frictional force, F = 10N. Dynamics – Freefall, Apparent Weight, and Friction (Honors) PURPOSE To investigate the vector nature of forces. Subtract this force from the applied force to find the acceleration of the object. A 730-N force is exerted on the 75-kg crate. 30 kilogram is added on top of one of the 0. For an angle of θ = 30. Thus, we can find the force of friction if we can measure both masses and the acceleration of the cart (or equivalently the acceleration of the hanging mass). You can use physics to calculate how much work is required, for example, when you drag an object using a tow rope, as the figure shows. A 'best case' estimate of the effective length of the belt between the two pulleys (L) would be to use the length of the belt between the contact tangent points of the two pulleys. kg mass and the horizontal. Pulley Problem 8. Not sure if I. What can you tell about the work needed to lift the same load to the same height by each of them, if we ignore friction? A. If, when the system starts from rest, m 2 falls 1. Show ALL the force vectors acting ON the dish. The coefficient of kinetic friction between the block and the table is. Background: Newton's second law of motion is Fnet = ma. Worksheet 3. A string from 1 passes over a massless, frictionless pulley, and is attached to mass 2. Find the magnitude of the acceleration with which the bucket and the block are moving and the magnitude of the tension force T by which the rope is stressed. The coefficient of static friction between the table and the block is 0. All you need to know is that speed is expressed in feet per second (imperial/US system) or in meters per second (SI system) and time in seconds. Thus, the applied force is constant while the object mass increases. To calculate the tension we substitute the acceleration in equation (1): In the problem we have used g = 10 m/s 2. Use the data from Procedure 3. cart system. To find T, let’s consider the FBD of m friction, and that the pulley. A fixed pulley is the only pulley that when used individually, uses more effort than the load to lift the load from the ground. We wish to find the acceleration, a, of the system, which. The mass on the inclined plane has a coefficient of kinetic friction of 0. In this problem, you are asked to relate motion (the acceleration of the two blocks) to force (tension in the rope, friction). CycleTrader. 15, calculate (a) the acceleration of the system, and (b) the force that each crate exerts on the other. This block is attached to a string that passes over a pulley, and the other end of the string is attached to a hanging 2. The friction force depends on the mass of an object plus the coefficient of sliding friction between the object and the surface on which it slides. Without friction, without the belt being pulled tight and in tension, the belt would slip and the pulley system would fail. 3/26 The system is released from rest with the cable taut. Q13) Amy is using pulley system A, Bob is using B, and Cathy is using C. Force and motion of a single object are always related through Newton’s Second Law, so this is a force or 2nd Law problem. where the slope is constant. If the angle of the ramp is 31 degrees and the coefficient of kinetic friction is 0. a M = 5kg 2 = 3kg T T. We will use a smart-pulley attached to a CBL to determine the acceleration of the object. The reason is that the force of tension due to the connecting rope A is not known and by considering the combined system it will be an internal force, therefore it will not contribute to the acceleration of the system. 5 kg object rests on a table. Notice how acceleration of the system changes as you change these variables. Ignore the friction in the pulley. A string is wrapped around a uniform solid cylinder of radius , as shown in the figure. Tension Control in Conveyors Belt tension is a critical component in conveyor design. A pulley of radius R and moment of inertia I = 2 MR2 is mounted on an axle with negligible friction. Two packing crates of masses 10. Determine the angular acceleration of the body (a) about an axis through point mass A and out of the surface and (b) about an axis. (a) Calculate the acceleration of each block. For any particular conveyor, there will be a certain amount of power required to move its load. 4 m/s2) b) Assuming that block 1 is sliding to the right (toward the pulley), find the tension in the string. If you're seeing this message, it means we're having trouble loading external resources on our website. Pulley Systems. How to find the formula for the acceleration of a pulley system? the question is asking for the formula in terms of components, Ma, Mb, Mc, La, and Lb. If the total resistance force to the motion of the cart is 0. Add more mass to the hanging weight so that it has a total mass of 50 g. Express your answer in terms of some or all of the variables wA (double-u subscript A), wB, and g (the acceleration due to gravity). c) If the force is now pulled at an angle of 12 ° to the horizontal, what is the new acceleration? 1. The general set-up is shown below. enough static friction between the string and the pulley. Figure P10. 500kg , is connected over an ideal (massless and frictionless) pulley to block 2, of mass m2, as shown. Calculations include conveyor capacity, belt speed, conveyor height and length, mass of idlers and idler spacing, belt tension, load due to belt, inclination angle of the conveyor, coefficient of friction, power at the drive pulley, starting belt tension, acceleration of the conveyor belt, and belt breaking strength, all with descriptions of. Find acceleration, tension & kinetic friction given mass and coefficient? A rectangular block of wood (block A) with a mass of 8 kg on the horizontal table is attached to a pulley. Of course, when the mass on the left hits the pulley, the system stops, and that's acceleration, a change in velocity, and that's a different scenario. enough static friction between the string and the pulley. There will be a second rope that loops around the pulley and is attached on one end to something static and rigid and the other end us attached to something that is creating a force like a block that is dropping straight down. Purpose To determine the relationship between force, mass, and acceleration using a cart attached to a pulley with varying weights. The free­bodydiagram for block A looks like a simple friction problem we’ve encountered several times, so we can easily calculate the kinetic friction on A due to. A string connecting the falling weight to the glider passes over a smart pulley. Block on an Incline Adjacent to a Wall A wedge with an inclination of angle rests next to a wall. 05, mA = 2 kg and mB = 2 kg. We'll discuss the effects of friction in the next. How long does it take for it to slide a. So for a real pulley, Fd = Wh + Work done against friction. The only force on it is , and it has the acceleration found above. How to calculate tension in a multiple pulley system. The inclined plane is frictionless at an angle of [Theta] = 30 degrees. Learn about proportional and inversely proportional graphs. The coefficients of friction for the red box and the incline are and. If he did not find the heaviest car the fastest, I do not know what to tell you except it is difficult to understand. Select Run #3 from the Experiment Menu. (a) Calculate the acceleration of P. Calculate the acceleration of the system. The primary types of friction associated with a Pinewood Derby car are the kinetic friction of the axles on the wheels and the static friction of the wheels rolling on the track. Force and motion of a single object are always related through Newton’s Second Law, so this is a force or 2nd Law problem. In a physics lab, Kate and Rob use a hanging mass and pulley system to exert a 2. Whether you get your kicks stopping the clock as quickly as possible on a 40k TT or dropping the hammer on double-digit gradient climbs. of your ω(t) graph − the region where ω(t) is a straight. You find that you can push a 50 kg package with a horizontal force of 250 Newtons at a constant speed along a level floor made of the same material as the ramp. 2) Calculate the acceleration of the system using Newton's 2nd law and the measured masses. Therefore, to make things simple, we often use the massless and frictionless pulley approximation. Neglect the small mass and friction of the pulleys. Find the acceleration of the system and tension in the string. The coefficient of kinetic friction between the table and block 1 is a) Assuming that block 1 is sliding to the right (toward the pulley), find the acceleration of block 1. U get to know which side the mass m1 moves on the plane and now the friction Since it opposes relative motion between objects it must act in the direction opposite to the acceleration of the block. Horizontal Pulley with Friction. Super Pulley attaches directly to the Smart Gate, providing a simple, low friction system to measure position, velocity and acceleration. (c) Find the net torque acting on the pulley, and determine its moment of inertia, I. 4 m/s2) b) Assuming that block 1 is sliding to the right (toward the pulley), find the tension in the string. Apparatus: computer, low-friction smart cart, two track supports, two cart stoppers, massescart (four 250 g), track, pulley, string, 5 g mass hanger, and masses (one 10 g and one 20 g) Part A: Identifying Forces and Making Predictions. 0 kN of force to keep a 1600-kg vehicle moving at a uniform speed. 2) Calculate the acceleration of the system using Newton's 2nd law and the measured masses. Gravity looks at the system and sees a net weight of 20grams*acceleration of gravity. Investigate what determines the system's acceleration. During the first 1. Pulley Problem 8. A 3 kg mass and a 5 kg mass are connected over a pulley by a light inextensible string. Shows how to calculate the acceleration of a two block system with friction using Newton's Second Law. Physics 211 Week 9 Rotational Dynamics: Atwood's Machine Revisited Consider a realistic Atwood's machine where the pulley is not massless. Two blocks are connected by a rope, through a pulley as shown in this figure. A string is wrapped around a uniform solid cylinder of radius , as shown in the figure. This force, however, has to accelerate not only the pulley, but the masses, so we have F = (m 1 + m 2) a + F rot. Express your answer in terms of some or all of the variables wA (double-u subscript A), wB, and g (the acceleration due to gravity). find its way over the pulley. The coefficient of kinetic friction between block B and the horizontal plane is [Mu]k = 0. provides the acceleration for an object in a circular motion: F c = ma = m v2 r e. 5kg by a light inextensible string which lies along a line of greatest slope of the plane and passes over a fixed smooth pulley at the top of the plane. 2 used to calculate I. 0ms and the acceleration of the blocks is constant. If, when the system starts from rest, m 2 falls 1. Ignore friction and the masses of the pulley and cord. well after 4th pulley, the efficiency decreased, I am thinking it might be due to friction. • This is an example of static equilibrium. to determine the coefficient of friction between belt and pulley; to find coefficient of friction between belt and pulley; what are the factors upon which the coefficient of friction between the belt and the pulley depends; what does a coefficient of friction mean; what does a coefficient of friction tell you; what is standard belt width. The heavier weight pulls on the lighter causing both to accelerate in one direction with a common acceleration. Assume there is NO friction. The free body diagram of the block is shown in the gure below right. 4N and G(2) = 6g x 9. 00 m/s 2 to the left, and the surfaces are rough. This force causes the ball to decelerate (that is, it has a "negative" acceleration). The Atwood machine (or Atwood's machine) was invented in 1784 by the English mathematician George Atwood as a laboratory experiment to verify the mechanical laws of motion with constant acceleration. Browse Suzuki Motorcycles. Horizontal Pulley with Friction Application of Newton's second law to a horizontal pulley. 650 kg , is connected over an ideal (massless and frictionless) pulley to block 2, of mass m 2, as shown. The heavier weight has mass M1=5 kg and the lighter weight has mass M2= 2 kg. If the system of A and B is released from rest, find (i) The acceleration of A, (ii) Tension in the string, & (iii) The magnitude and the direction of the force of friction acting on A. What is the acceleration of mass m2 on the inclined plane?. The Atwood's Machine is used below to help in understanding how Newton's 2nd law applies to a system of two connected masses. Ignore the friction force, the moment of inertia of the pulley and the mass of the. All surfaces, pulley, and wheels are frictionless. All you need to know is that speed is expressed in feet per second (imperial/US system) or in meters per second (SI system) and time in seconds. water or hydraulic oil) and get rid of any air pockets. Add sufficient slot weights to the weight hook to achieve a rough balance. Find the acceleration of the system and tension in the string. Calculate the acceleration of the system if m 1 = 6 kg, m 2 = 10 kg and µ k = 0. pulley as in the figure. Let me just show you really quick. The block 1 has a weight of 400 N, and the block 2 has a weight of 600 N. Find the mass of your cart (to the nearest 0. Full Question: A particle A of mass 2. A massless pulley is attached to the ceiling,in a uniform gravitational field, and rotates with no friction about its pivot. Let's say we have a system with a 10 kg weight (m 1) hanging vertically connected by a pulley to a 5 kg weight (m 2) on a 60 degree ramp (assume the ramp is frictionless). I give eight different situations in which blocks are connected by ropes. 102 between the 10. a M = 5kg 2 = 3kg T T. 50) The masses shown in Fig 4-47 are each initially 1. (b) Determine FT1 and FT2 , the tensions in the two parts of the string. (b) Find the acceleration of the masses if the coefficient of kinetic friction between the string and the pulley is μ = 0. 1 (steel wheels on rails: ~ 0. The table ad the pulley are friction-less. The free body diagram of the block is shown in the gure below right. The Photogate/Pulley System uses a photogate head to monitor low-friction pulley rotation, providing a simple, versatile sensor. A car is travelling along a straight horizontal plane at 72 km/h. 425 and the coefficient of kinetic friction between the table and the block is 0. The box has a mass of 75. The pulley is a solid disk of mass M = 2. 5 m/s If vB = 2 m/s, determine vA such that the mass m does not move. But in real life, there will be some friction which acts to slow the cart down. cular to the ramp in order to find the acceleration of the cart along the ramp. Physics 2101, First Exam, Fall 2007 September 4, 2007 Please turn OFF your cell phone and MP3 player! Write down your name and section number in the scantron form. If friction is neglected, the net force is: Also calculate the total mass that is accelerated in each trial. When the system is released: a. The output power is (assumming 100% efficiency), where r is the radius of the pulley (pulley 1). This is not the friction that pushes the automobile. The particles are released from rest with the string taut. The formula is acceleration (a) equals friction (F) divided by its mass (m) or a = F ÷ m as per Newton's second law. The string is then connected to a mass (M 2) of 15kg which is hanging freely. The force due to friction is the sum of the tension in the strings on either side of the pulley. A string is wrapped around a uniform solid cylinder of radius , as shown in the figure. Draw each force with its tail at the surface of the system extending in the proper direction. Calculate the magnitude of acceleration of the system. 40, determine what range of values for mass B will keep the system at rest. each of the blocks as well as the coefficient of friction between the block and the table. The reason is that the force of tension due to the connecting rope A is not known and by considering the combined system it will be an internal force, therefore it will not contribute to the acceleration of the system. 8 m/s2, mass of the pulley M = 1. In this part of the experiment, the system is set in motion by the release of the suspended mass. find the retarding force, assumed to be constant, acting on the car c. The front half of the rear pulley is placed under pressure by the contra spring to make sure that it holds the correct tension to ensure the best gearing. Express your answer in terms of some or all of the variables wA (double-u subscript A), wB, and g (the acceleration due to gravity). Physics 100A Homework 5 – Chapter 6. 9 N, what is the magnitude of the tension in the connecting cord? 13. For any particular conveyor, there will be a certain amount of power required to move its load. calculate the average deceleration of the car over the 0. If there is no acceleration, then ΣF =0. Calculations include conveyor capacity, belt speed, conveyor height and length, mass of idlers and idler spacing, belt tension, load due to belt, inclination angle of the conveyor, coefficient of friction, power at the drive pulley, starting belt tension, acceleration of the conveyor belt, and belt breaking strength, all with descriptions of. 0 kg, and m3 = 31. Between object B and the plane the coefficient of static friction is 0. What is the acceleration of the system?. It should be noted. Then pressurize the liquid to the desired working pressure, plus some safety margin. A string is placed over the pulley and its free ends are connected to masses of 12 kg and 8 kg. water or hydraulic oil) and get rid of any air pockets. where the T 1 and T 2 are the tensions in the string on either side of the pulley (not equal), I is the moment of inertia of the pulley, t is the retarding torque due to pulley friction and a is the angular acceleration of the pulley. 0 kg, has a 0. Calculate the tension in the rope if the gymnast climbs up the rope with an upward acceleration of magnitude 1. In this part of the experiment, the system is set in motion by the release of the suspended mass. 74 m s 2 23. Only the middle one sits in the middle of the table while block 1 which has a mass of 4kg is off the table on the left hand side hanging. Apparatus: PC, photogate/pulley system, wood block, mass set, mass hanger, string, and balance. Determining the Acceleration of a System of 2 Objects. So we say 0. Let me just show you really quick. coefficient of kinetic friction between box A and the table is 0. (b) Calculate the velocity of P when P catches A. A quick static balance will confirm that the system will begin accelerating, so use the kinetic coefficient of friction. Ignore the mass of the cord and pulley and any friction in the pulley. This will be done by initially assuming a constant acceleration and then by examining the results to see if they are consistent with this assumption. Place wood stopper block in front of pulley to stop the cart from smashing it. The coefficient of kinetic friction between box A and the table is 0. Lab 2 Force and Acceleration - Newton's Second Law Objective: < To observe the relationship between force and acceleration and to test the hypothesis that the force is equal to the mass times the acceleration (Newton's Second Law). 30, and m B = 10. All surfaces, pulley, and wheels are frictionless. How long does it take for it to slide a.