Chris, a recent physics major, wanted to design and carry out an experiment to show that an object’s mass determines its inertia. He used an ultrasound device to measure acceleration of a low-friction cart attached to a hanging block to provide the same force on the cart during each run (Fig. P6.76A). Chris varied the mass of the cart by varying the number of lead rods placed in it.
Chris used Newton’s second law
Chris’s goal was to show that his data fit Equation (1). He decided to analyze his results by plotting ax as a function of 1/M; Equation (1) predicted that he should get a straight line, passing through the origin with a slope equal to the tension (red line in Fig. P6.76B):
Chris ran several trials for each run, averaged his results and estimated the error. He then plotted his data (green line in Fig. P6.76B). Chris was excited to see that he correctly predicted that the data fell along a straight line:
According to the straight-line fit to the data, the slope of the line is 0.27 N, which was close to the weight of the hanging mass and therefore close to the tension in the string. Chris, though, was disappointed to see that the line had a negative intercept. Mathematically, as
FIGURE P6.76 A. Chris’s experimental apparatus.
B. Chris’s prediction (red line) and experimental results (green line).
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Physics for Scientists and Engineers: Foundations and Connections
- Draw a free-body diagram for the burglar, who is shown at rest while sneaking through a chimney in Figure P6.6.arrow_forwardYou push an object, initially at rest, across a frictionless floor with a constant force for a time interval t, resulting in a final speed of v for the object. You then repeat the experiment, but with a force that is twice as large. What time interval is now required to reach the same final speed v? (a) 4 t (b) 2 t (c) t (d) t/2 (e) t/4arrow_forwardA high diver of mass 50.0 kg jumps off a board 10.0 m above the water. If her downward motion is stopped 1.90 s after she enters the water, what average force did the water exert on her? ______N PLEASE ANSWER ASAParrow_forward
- A student of weight 667 N rides a steadily rotating Ferris wheel (the student sits upright). At the highest point, the magnitude of the normal force on the student from the seat is 556 N. (a) Does the student feel “light” or “heavy” there? (b) What is the magnitude of the lowest point? If the wheel’s speed is doubled, what is the magnitude at the (c) highest and (d) lowest point?arrow_forwardA 3.0 kg puck slides due east on a horizontal frictionless surface at a constant speed of 4.5 m/s. Then a force of magnitude 6.0 N, directed due north, is applied for 1.5 s. Afterward,a. What is the northward component of the puck’s velocity?A. 0.50 m/s B. 2.0 m/s C. 3.0 m/sD. 4.0 m/s E. 4.5 m/sb. What is the speed of the puck?A. 4.9 m/s B. 5.4 m/s C. 6.2 m/sD. 7.5 m/s E. 11 m/sarrow_forwardYou are the physics consultant working on an action movie set where an SUV must start from rest, accelerate along a pier, and jump over a stretch of water to land in a departing ferry. (The director assures you it will all be very exciting.) The drawing below shows the situation. The SUV has four-wheel drive (see problem N5D.1), and the coefficients of friction between the tires and the pier’s surface are us =3/4 and uk = 1/2. Calculate the length L (as a fraction or multiple of D) of the run along the pier that you will need for the SUV to make it to the ferry. Ignore air drag.arrow_forward
- I have tried this problem several times but I cannot seem to find the max weight of A how do I solve this?arrow_forwardA 4.0 kg toy car can move along an x axis. The figure gives Fx of the force acting on the car, which begins at rest at time t = 0. The scale on the Fx axis is set by Fxs = 4.0 N. In unit-vector notation, what is P→ at (a)t = 6.0 s and (b)t = 2.0 s,(c) what is v→ at t = 5.0 s?arrow_forwardThe barricade at the end of a subway line has a large spring designed to compress 2.00 m when stopping a 1.80 105 kg train moving at 0.690 m/s. (a) What is the force constant of the spring? N/m(b) What speed would the train be going if it only compressed the spring 0.620 m? m/s(c) What force does the spring exert when compressed 0.620 m? (Enter the magnitude only.) Narrow_forward
- Q. What is the force on a 1000 kg elevator that is falling freely at 9.8 m/s2? The answer to this question is most likely answer cnhoices 9,800 N 9,800 m/s?2 9,800 kgarrow_forwardA 500 [g] particle has velocity vx= −2.0 [m/s] at t= 0 [s].Force Fx = (4 − t^2) [N] is exerted on the particle between t= 0 [s] and t= 2 [s].What is the particle’s velocity at t= 2 [s] ?arrow_forward
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning