DATA You are a Starfleet captain going boldly where no man has gone before. You land on a distant planet and visit an engineering testing lab. In one experiment a short, light rope is attached to the top of a block and a constant upward force F is applied to the free end of the rope. The block has mass m and is initially at rest. As F is varied, the time for the block, to move upward 8.00 m is measured. The values that you collected are given in the table:
F(N) | Time (s) |
250 | 3.3 |
300 | 2.2 |
350 | 1.7 |
400 | 1.5 |
450 | 1.3 |
500 | 1. 2 |
(a) Plot F versus the acceleration a of the block. (b) Use your graph to determine the mass m of the block and the acceleration of gravity g at the surface of the planet. Note that even on that planet, measured values contain some experimental error.
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Additional Science Textbook Solutions
Essential University Physics (3rd Edition)
Physics: Principles with Applications
Physics for Scientists and Engineers with Modern Physics
University Physics Volume 2
Physics (5th Edition)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
- For t 0, an object of mass m experiences no force and moves in the positive x direction with a constant speed vi. Beginning at t = 0, when the object passes position x = 0, it experiences a net resistive force proportional to the square of its speed: Fnet=mkv2i, where k is a constant. The speed of the object after t = 0 is given by v = vi/(1 + kvit). (a) Find the position x of the object as a function of time. (b) Find the objects velocity as a function of position.arrow_forwardMY NOTES ASK YOUR TEACHER You have landed on an alien planet and because you have nothing better to do with your time, you have decided to do a physics experiment with a block. Your experiment is shown above. A 60 kg block on a horizontal surface is attached to a rope. The normal force on the block is 378 N. The block is moving to the right, k = 0.6, & the acceleration of the block is 5.22 m/s² to the right. Determine g (the free fall acceleration on this planet) & the tension in the rope. g = FT =arrow_forwardPrint the References and Equations Sheet and use it to complete this question. You also may use a calculator. A baseball with mass of 0.145 kg is thrown straight down at the ground. At a particular speed, it has a drag force of 0.4 N acting on it. What is its acceleration at that time? o - 12.6 m/s O -9.8 m/s o -7.0 m/s • -2.8 m/s 21 22 23 24 25 26 27 20 29 30 Next 203dcd7827cc5b4_56c0425f-37a7-4fd5-aae2-b91522206c9a/conceptld/SC1404AX_Summit_Honors_Physics 06_14_UT_CG/concept Chp fgarrow_forward
- You are pushing a box from rest up a frictionless ramp that makes an angle of 30 degrees with respect to the ground. You are pushing up the ramp with a force of 10N. Starting from rest, the box uniformly accelerates up the ramp, traveling 2 m up the ramp in 4 seconds. What is: the magnitude of acceleration the mass of the box the magnitude of the gravitational force parallel to the ramp the magnitude of the normal force exerted by the ramp on the boxarrow_forwardAn empty box is travelling on the conveyor with 0.2 m/s, then 12 kg package is dropped into this box with 1 m/s speed. When dropped, package and box are immediately sticked together. Friction coefficeient between the box and the conveyor is μk = 0.2 . After the package dropped, package and box start sliding on the conveyor for some distance, d for t(sliding) amount of time. Determine the distance, d.arrow_forwardEach hand pushes with a constant force 4. Two identical blocks are connected by an ideal spring. The blocks are pushed towards each other across a level frictionless surface by hands that each exert a constant horizontal force of magnitude F,. At time t, the blocks have speed v, and the spring is at its equilibrium length. At time t2, when the experiment ends, the blocks have each moved a distance d,. The speed of each block at time t2, V2, is less than v,. of magnitude F, v, v, B dietat a. State whether each of the following quantities is positive, negative, or zero during the interval from t to t. Explain. t= 1, A i. The work done on block A by the hand ii. The work done on block B by the hand o mn iii. The net work done by external forces on system S (consisting of block A, block B, and the spring.) b. During the interval from t to t,, does the total energy of system S increase, decrease, or sta the same? Explain. c. Consider the following statement: "The kinetic energy of the…arrow_forward
- A 68-kg man stands on a bathroom scale inside an elevator. The scale measures in units of newtons. (a) The elevator accelerates upward from rest at a rate of 1.25 m/s2 for 1.50 s. What does the scale read during this 1.50 s interval? N (b) The elevator continues upward at constant velocity for 8.50 s. What does the scale read now? N (c) While still moving upward, the elevator's speed decreases at a rate of 0.450 m/s2 for 3.00 s. What is the scale reading during this time? Narrow_forwardA mysterious object is accelerated in a straight line across a table by a mysterious force. The force is not constant, but 100 varies depending on the position of the object. The graph and equations give the magnitude of the force F on the 80 object as a function of the position x of the object. 20 N -x + 60 N 2 mm O mm < x < 2 mm 60 60 N F (x) : 110 N X. 4 mm 2 mm < x < 6 mm 40 40 N 40 N 6 mm < x < 10 mm 4 mm 4 8 10 Find the work W, done by the force on the object as it x (mm) travels from x = 2.00 mm to x = 9.00 mm. Wo = J F(x) (N) 20arrow_forwardYou place tomatoes in the pan of a hanging spring scale and find that they weigh 2.9 lb. You measure the downward displacement of the scale's pan to be 1.2 in. What is the spring constant? Give your answer in lb/in. and in SI units.arrow_forward
- A car of mass 250 kg, is accelerated from rest by a net force of 400 N for 20 s. After this, the engine is switched off and the car slows to a halt, due to a net force of 100 N against its motion. What is the maximum velocity the car reaches and what is the total journey time, where the car is in motion?arrow_forwardA person catches a ball with a mass of 145 g dropped from a height of 60.0 m above his glove. His hand stops the ball in 0.0100 s. What is the force exerted by his glove on the ball? Assume the ball slows down with constant acceleration.arrow_forwardAn object with a mass of 1.76 kg is initially at rest upon a horizontal, frictionless surface. An applied force of 3.04 N i acts on the object for 2.08 s. What is the object's final speed? Enter a number rounded to 2 decimal places and assume the answer has proper SI Units.arrow_forward
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning