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, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (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_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
- We start with some review problems A crate of mass 49.1 kg rests on a level surface, with a coefficient of kinetic friction 0.298. You push on the crate with an applied force of 230 N. What is the magnitude of the crate s acceleration as it slides? 1 4.68 m/s^2 2 1.23 m/s^2 3 6.08 m/s^2 4 1.76 m/s^2arrow_forwardThe 50-kg crate is projected along the floor with an initial speed of A m/s at x = 0. The coefficient of kinetic friction is 0.40. Calculate the time required for the crate to come to rest and the corresponding distance x traveled. A is the last digit of your student number replacing any 0 with 10. For example, if your student number is 400027581 then A = 1, if your student number is 400027580 then A = 10, etc.arrow_forwardQuestion:A block with a mass of 0.276 kg slides across a table with an initial speed of 1.87 m/s. It has a frictional force acting on it from the table surface of 1.18 N. What is the magnitude (positive value) of the acceleration (in m/s2) of the block while it is sliding?My Comment:"The attachment was what I drew so far, but I am honestly confused on how to start this problem. Did I at least draw the scenario correctly?"arrow_forward
- A rock moving in the +x-direction with speed 16.0 m/s has a net force applied to it at time t = 0, and this produces a constant acceleration in the -x-direction that has magnitude 4.00 m/s2. For what three times t after the force is applied is the rock a distance of 24.0 m from its position at t = 0? For each of these three values of t, what is the velocity (magnitude and direction) of the rock?arrow_forwardA sled of mass 88 kg is being pushed up a slope with an applied force of 910 N. The slope is inclined with an angle of 45 degrees with respect to the horizontal. The coefficient of friction between the sled and the hill is 0.29. The acceleration of the crate (in m/s2) is:arrow_forwardA particle with a weight of six pounds experiences forces in 3 different directions aside from its weight. The vectors for these forces are the following: F1 = (2i + 6j – 2tk) lb, F2 = (t2i -4tj – 1k) lb, and F3 = (-2ti) lb. All of these are functions of time. If the particle starts from rest, how far will the particle be from the origin after 2 seconds? a. 89.2 ft b. 44.8 ft c. 32.2 ft d. 97.4 ft e. 92.2 ft f. 23.2 ftarrow_forward
- The following information pertains to questions 1, 2, and 3. A workman pulls a sled across an asphalt road using a rope at angle 0 above the horizontal direction. The workman pulls with 1,000[N] of force. The coefficients of friction of the sled with the road are u=1.00 and µ=0.70. The sled has mass m. The sled is initially at rest. T710Q0[N]. 1) Which expression gives the magnitude of fmax for the situation illustrated above? A) mg B) mg – 1000cos(0) C) - mg + 1000cos(0) D) mg-1000sin(0) E) mg+ 1000sin(0) F) None of the abovearrow_forwardA rope exerts a constant horizontal force of 280 N to pull a 50kg crate across the floor. the velocity of the crate is observed to increase from 1m/s to 7m/s in a time of 2 seconds under the influence of this force and the frictional force exerted by the floor on the crate. What is the acceleration of the crate?arrow_forwardAn SUV drives on a straight-line track. Starting with a speed v0 = 14.4m/s, it comes to rest over a distance d = 28.8m Part (a) Write an expression for the magnitude of the net force on a passenger with mass m . If m = 61.3kg, then what is the numeric value, in newtons, for the net force in Part (a)? .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