### Problem StatementWhat is the work done by gravity when a 4.5 kg object is moved from start to finish point as shown in the sketch? (Use \( g = 10 \, \text{m/s}^2 \) and round answer to two significant figures)### Diagram DescriptionThe diagram illustrates a path taken by a 4.5 kg object in a vertical loop. The initial motion is upwards, and the object starts at a height of 2 meters. It ascends vertically another 2 meters, then moves horizontally 2 meters before descending 1 meter to reach the finish point.### Solution Approach1. **Determine the change in height:** \[ \text{Initial Height} = 2 \, \text{meters} \] \[ \text{Final Height} = 2 + 2 - 1 = 3 \, \text{meters} \]2. **Calculate the change in gravitational potential energy:** \[ \Delta h = \text{Final Height} - \text{Initial Height} = 3 - 2 = 1 \, \text{meter} \]3. **Use the gravitational force formula to calculate work done by gravity:** \[ W = m \cdot g \cdot \Delta h \] \[ W = 4.5 \, \text{kg} \times 10 \, \text{m/s}^2 \times (0 - 1) \, \text{meter} \]4. **Final calculation:** \[ W = -45 \, \text{J} \]5. **Rounding to two significant figures:** \[ W = -45 \, \text{J} \]Thus, the work done by gravity is \(-45\) Joules. **Swing Dynamics and Forces****Scenario:**A child is pushed in a swing as illustrated in the sketch and allowed to swing back and forth freely.**Question:**When the child is at the vertical position during a swing, which of the following describes the situation best?**Diagram Explanation:**The diagram shows a swing with a child seated, moving through three positions. The middle position is vertical, with the swing at its lowest point. The arrows indicate the velocity and the direction of the motion at different positions:- At both ends of the swing (left and right), the child's velocity \( v \) is shown as vector arrows pointing horizontally towards the center.- At the vertical position, the velocity also points horizontally, aligned with the direction of motion.The forces acting on the swing include the tension in the ropes and the weight of the child, along with any centripetal force necessary to maintain the circular path.**Options:**- The tension force is equal to the weight plus the centripetal force.- As the child is not moving vertically, the net vertical force is zero.- Change in velocity vector points upward.- The tension force is equal in magnitude to the weight.**Correct Answer:**The tension force is equal to the weight plus the centripetal force.

Given data: Mass (m) = 4.5 kg g = 10 m/s2

What is the work done by gravity when a 4.5 kg object is moved from start to finish point as shown in the sketch? (Use g = 10 m/s2 and round answer to two significant figures) The loop is vertical and initial motion is up 2 m 1 m 2 m finish start

What is the work done by gravity when a 4.5 kg object is moved from start to finish point as shown in the sketch? (Use g = 10 m/s2 and round answer to two significant figures) The loop is vertical and initial motion is up 2 m 1 m 2 m finish start

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

A block of mass ?=0.350kg is released from rest, from a curved ramp of height h= 42.0 cm (point A in the figure). The block slides down frictionless to the bottom of the ramp to point B. a) What is work done by gravity when the block moves from A to B? b) What is the speed of the block at the bottom of the ramps (point B in the figure)? c) The box continuesto slide frictionless and compress a spring a distance Δ?=8.20cm until it stops at point C. What is the spring constant k of the spring? d)What is the elastic potential energy stored in the spring when the block is at point C?
A cheerleader lifts his 68 kg partner straight up off the ground a distance of 0.72 m before releasing her. Assume the partner’s velocity is zero at the beginning and the end of the lift. The acceleration of gravity is 9.8 m/s2 . If he does this 22 times, how much work has he done? Answer in units of J.
please help me with this
An infinitely long, flat cliff has stones (to be treated as point masses) hanging off it spaced 1 metre apart starting at position n = 1. The stone at position n has masses 1 4n kg and is attached to a 2n m long wire with negligible weight. The first three stones are drawn in Figure 2. How much work is required to pull up all the stones to the top of the cliff? Assume work is measured in newton-meters. If you need to use the acceleration due to gravity constant g, leave it as-is. DO NOT approximate g by a numerical value. 1 2 3 →n FIGURE 2. Point masses hanging off a cliff.
An archer pulls a bow string back 0.40 m by exerting a force that increases linearly from zero to 460 N. How much work does the archer do?
help
The roller coaster has a PE of 10,000 J when it begins its downhill run. How much total energy does it have when it is halfway down the hill? Which answer below is correct 10,000 J 5,000 J 10,000 N 5,000 N
A7.1 kg body is at rest on a frictionless horizontal air track when a constant horizontal force F acting in the positive direction of an x axis along the track is applied to the body. A stroboscopic graph of the position of the body as it slides to the right is shown in the figure. The force F is applied to the body at t = 0, and the graph records the position of the body at 0.50 s intervals. How much work is done on the body by the applied force F between t = 0 and t = 1.2 s? 0.5 s 1.0 s 1.5 s 2.0 s 0.2 (0.4 0.6 0.8 х (m) Number Units
The spring-flex exercise system consists of a spring with one end fixed and a handle on the other end. The idea is that you exercise your muscles by stretching the spring from its natural length, which is 48 cm. If a 200 Newton force is required to keep the spring stretched to a length of 66 cm, how much work is required to stretch it from 62 cm to 76 cm? Your answer must include the correct units. Work=
Consider the potential energy graph shown This graph is for a 2 kg object. At t=0 you are located at point D and moving with a speed of 6 m/s 100 90 A K (J H B Find the total mechanical energy D Compare the speed at each of the labeled points Locate any turning points. (They are not necessarily on the labeled points.) F 20 G 10 0 0 1 2 3 5 6 7 8 9 10 11 4 Position (m) Potential Energy (J)
The graph in the figure below shows the magnitude of the force ex- erted by a given spring as a function of the distance x the spring is stretched. How much work is needed to stretch this spring: (a) a distance of 5.0 cm, starting with it unstretched, and (b) from x - 2.0 cm to x = 7.0 cm? F (N) x (cm) 1 2 3 4 5 6 67 8 350 300 250 200 150 100 50
The two ropes seen in the figure (Figure 1) are used to lower a 255 kg piano 5.00 m from a second-story window to the ground. How much work is done by each of the three forces? WG= W1= W2=