### Kinetic Energy and Work Done**Problem Statement:**An accelerating object of mass \( m = 2 \) kg is fired with an initial speed \( v_i = 8 \) m/s at a starting point. If its kinetic energy at its final destination is \( K.E = 268 \) J, what is the resultant work (in joules) done on the object?**Options:**A. 204 B. None C. 704 D. 1004 E. 1204 **Explanation and Solution:**To solve for the resultant work done on the object, we can use the Work-Energy Theorem, which states that the work done on an object is equal to the change in its kinetic energy.The kinetic energy (K.E) of an object is given by:\[ K.E = \frac{1}{2}mv^2 \]1. Calculate the initial kinetic energy (\( K.E_i \)) at the starting point:\[ K.E_i = \frac{1}{2} m v_i^2 \]\[ K.E_i = \frac{1}{2} \times 2 \times (8)^2 \]\[ K.E_i = 1 \times 64 \]\[ K.E_i = 64 \text{ J} \]2. Given the final kinetic energy (\( K.E_f \)) at the final destination is 268 J.3. Calculate the work done (W) on the object:\[ W = K.E_f - K.E_i \]\[ W = 268 \text{ J} - 64 \text{ J} \]\[ W = 204 \text{ J} \]Therefore, the correct answer is option A: 204 J.

Given data: Mass m =2 kg Velocity v=8 m/s2. Final Kinetic energy =268 J

An accelerating object of mass m=2 kg is fired with an initial speed v=8 m/s at a starting point. If its kinetic energy at its final destination is K.E=268 J. What is the resultant work (in joules) done on the object? A. 204 O. B. None C. 704 D. 1004 E. 1204

An accelerating object of mass m=2 kg is fired with an initial speed v=8 m/s at a starting point. If its kinetic energy at its final destination is K.E=268 J. What is the resultant work (in joules) done on the object? A. 204 O. B. None C. 704 D. 1004 E. 1204

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

1. Determine the kinetic energy of 600 kg roller coaster car that is moving with a speed of 15.7 m/s. а. 37,497 J с. 79, 347 J b. 73, 947 J d. 5696 J 2. Calculate the kinetic energy of a 1250 kg car travelling at 64 m/s. а. 250,000 J b. 23,600 J с. 2,560,000 J d. 2500 J
A moving object is subject to conservative forces only. When its kinetic energy dereases by 10 J, what happens to its potential energy? A. It increases but not necessarily equal to 10 J. B. It increases by 10 J C. It decreases by 10 J D. It remains the same.
A child pulls a wagon 5.0 m using a force of 25 N at an angle 15 degrees above horizontal. The force of friction on the wagon is 8.1 N. Calculate the work done on the wagon in the horizontal direction. a. 6.5 J b. 24.1 J c. 32.5 J d. 80 J e. 84.5 J f. 125.1 J g. 125 J h. don't be silly, you can't calculate the net work without the change in KE!!
Please pick correct option
Question 10 A truck travelling at a speed of 80 km/h has a kinetic energy of 1000 kJ. If the speed of the truck is decreased to 40 km/h, the kinetic Not yet energy of the truck will be answered Marked out of O a. 1000 kJ 1.00 P Flag question O b. 2000 kJ Oc. 250 kJ O d. 500 kJ
.
In the Figure below, we see a 500 gram block resting on the horizontal portion of a "track", whose left end is curved upwards. The horizontal portion of the track is frictionless, except for a 50.0 cm long “rough" portion, shown in the Figure, where the coefficient of kinetic friction is 0.300. The curved portion of the track is frictionless. The block is held against a spring (which has a stiffness constant of 500 N/m), compressing the spring by 10.0 cm. Then the block is released from rest. (NOTE: The block is not attached to the spring; it is just held against the end of the spring.) For simplicity, assume that g = 9.80 m/2. 50.0 cm
A box of mass 10 kg initially was at rest on a frictionless horizontal table. After applying a force of 10 N, the box moves in the right direction at a speed of 5 m/s. What is the work done by the external force on the box? Select one: O a. 50 J Ob 450 J O c. 125 J O d. 100 J
A 10 kg car starts from the rest and goes 5m/s. How much work is done by the car? (Hint :use work energy theorem to calculate work) A. 25 J B. 250 J C. 50 J D. 125 J
10. An object I with a mass of 2 kg is lifted vertically 3 m from the ground level; another object II with a mass of 3 kg is lifted 2 m up. Which of the following statements is true? I. Object I has greater potential energy since it is heavier. II. Object II has greater potential energy since it is lifted to a higher position. III. Two objects have the same potential energy. a. 1 b. II с. I d. I and II
Young Hector launches a 200 gram block uphill on a frictionless ramp which is tilted at 30 degrees with the horizontal, as shown in the Figure. At the instant of its launch, the block is moving uphill at 4.00 m/s. Hector observes as the block travels a distance of 50.0 cm uphill on the ramp. In the following, consider the period of time during which the block moves uphill through the 50.0 cm distance shown in the Figure. For simplicity, assume that g = 9.80 m/2. d (50.0 cm) 4.00 m/s h 30°
An accelerating object of mass m=4 kg is fired with an initial speed v=3 m/s at a starting point. If its kinetic energy at its final destination is K.E=380 J. What is the resultant work (in joules) done on the object? А. 362 B. None C. 862 D. 1162 E. 1362