1) Centre of Mass Calculation A person is lying on a bench, which is placed onto two bathroom scales. The length of the bench (D) is 2.5 m. The mass measured by the left scale is 40 kg; the mass measured by the right scale is 32 kg. Calculate the distances d1 and d2, as indicated in the figure below (i.e., the distances between the scale and the centre of mass). Remember that: d2/d1 = M1/M2 and d1 + d2 = D Please report your answers to 2 decimal places and in Sl units. Scale Scale d1 d2 D d1 = Unit d2 = Unit

1) Centre of Mass Calculation A person is lying on a bench, which is placed onto two bathroom scales. The length of the bench (D) is 2.5 m. The mass measured by the left scale is 40 kg; the mass measured by the right scale is 32 kg. Calculate the distances d1 and d2, as indicated in the figure below (i.e., the distances between the scale and the centre of mass). Remember that: d2/d1 = M1/M2 and d1 + d2 = D Please report your answers to 2 decimal places and in Sl units. Scale Scale d1 d2 D d1 = Unit d2 = Unit

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Fuente Reutilizar archiv The Parallel Axes Theorem or Steiner's Theorem with respect to an axis at a point "P" is stated mathematically as follows: I = Iem + Md? Where d is defined as: a) the distance between the axis through the center of mass and the axis parallel to the center of mass through point P. b) the distance between the axis through the center of mass and the point of application of the force that rotates the body. c) the distance between the axis passing through point P and the point of application of the force that makes the body rotate. d) the radius of the body in question.
3. A system of masses is connected by a light cord passing over a pulley as shown m₁ = 2.5 kg य μ = 0.20 m₂ = 1.5 kg 40 a) Draw a labelled free body diagram for mass 2. b) What is the magnitude of the acceleration of the system of masses?
the instant before a batter hits a 0.14 kilogram baseball, the velocity of the ball is 45 m/s west. the instant after the batter hits the ball, the ball's velocity is 35 m/s. The bat and ball are in contact for 1.0*10-2. 1. determine the magnitude and direction of the average acceleration of the ball in contact with the bat. 2. calculate the magnitude of the average force the bat exerts on the ball while they are in contact.
1. What are the SI units of mass, acceleration, weight, and force? 2. List 3 types of contact forces and one long-range force (names and symbols). 3. What are the conditions for equilibrium (words and equations)? 4. A force is applied to a rope that is connected to two other ropes as shown. Draw a free body diagram for the O-ring connecting all 3 ropes and use Newton’s 1st Law to calculate the tensions in ropes 1 and 2.
Calculate the magnitude of the linear momentum po of a 33.6 kg object on the Equator, as measured from the center of Earth. The radius R of Earth is 6371 km. Po = kg-m/s Define the ime at which the previous result was calculated as to. What is the magnitude of the net change Ap in the object's momentum in the 6 h following to? Api kg-m/s Now, calculate the magnitude of the total change Ap2 in the object's momentum 12 h after to. Ap2 = kg-m/s & TOOLS
11. Consider the plate from the previous question. The floor provided an impact force that actedon the plate. It acted on the plate very suddenly—it was a mere fraction of a second. If theforce acted on the plate for 0.00024 s, calculate the force of impact.
Carbon Paper Ay Ax In Part 1 of the lab, a student collects the following data for a ball that is launched horizontally as shown above. Ax=74.3 cm Ay=103.5 cm In Part 3 of the lab, the student launches the ball at an angle of 38 degrees (as shown below). Ax Ay If Ay=15.5 cm and Ax = 24.9 cm, at what height does the hoop need to be for the ball to pass through it? Give your answer in centimeters to 3 significant figures.
Q2 Two carts, A and B, have masses of 0.500 kg and 0.750 kg respectively. While traveling towards each other, Cart A and B undergo a head-on collision and rebound apart in opposite directions. Data for collision is shown below. The measured speeds are accurate to within 0.1 m/s. Velocity before (m/s) | Velocity after (m/s) Cart A +7.0 -6.3 Cart B -3.0 +5.9 (a) Show that the momentum of the two-cart system is conserved by calculating the system's momentum before and after the collision. (b) Calculate the impulse each cart feels during the collision. Explain how your results show evidence for Newton's 3rd Law. (c) Using hi-speed video analysis, the time of the collision is determined to be 0.030 seconds. Calculate the average collision force.
1a) A 4.50 kg ball rolling north at 5.00 m/s collides with a 2.50 kg ball rolling south at 3.00 m/s. If the collision is elastic, set up the equations you would solve to determine how fast is each ball moving after the collision. 1b) If the collision between the two balls in question 1 instead results in both balls sticking together as one, what will their resulting velocity be?
4. The parking brake fails on a parked car at the top of a hill and it rolls down the hill ¹. At that same moment an SUV is coming down a cross street at the bottom of the hill, moving at 30 miles per hour. (See diagram below.) The mass of the car is 1000 kg. The mass of the SUV is 3000 kg. a) Find the speed of the car when it reaches the bottom of the hill. b) The car and SUV collide and move off together. Find their velocity immediately after the collision. ¹ Note that the wheels of a car are so much lighter than the car itself that their rotation is negligible. In short, a rolling car acts like a sliding object, not like a rolling object. W. View from Above N E Hill Side View of the Hill 10m 40°
The automobile has a mass of 2.2 Mg and center of mass at G. Take u, = 0.3. (Figure 1) Part A Determine the towing force F required to move the car if the back brakes are locked, and the front wheels are free to roll. Express your answer to three significant figures and include the appropriate units. HA ? F = Value Units Submit Request Answer Provide Feedback Figure 1 of 1 G. 0.6 m 0.3 m B A 1m-1.50 m- 0.75 m
QUESTION 10 Which of the following statements in regard to the acceleration due to gravity is true? a. The acceleration due to gravity is independent of the mass of the falling object. Ob. The acceleration due to gravity has a magnitude of 8.81 m/s at or near the surface of the earth. C. The acceleration due to gravity increases with decreasing wind resistance and decreases with increasing wind resistance. d. The acceleration due to gravity has a vector component that is parallel to the surface of the earth. O e. The acceleration due to gravity is greater for a greater mass and smaller for a smaller mass.