Sunday, April 17, 2016

Challenging Question 5

1. As shown in the figure below, a ball is launched diagonally upward from a horizontal ground. The time at launch is 0. After passing through a point at height h at time t, the ball lands at time T.
What is the height h? From 1-5 below choose the correct answer.
1.½ gt2                                            3. ½ gT(T-t)                                           5.½ g(T-t)2
2.½ gtT                                             4. ½ gt(T-t)
(Answer: 4)

2.As shown in the figure below, an artificial satellite is travelling in a circular orbit around the earth. The radius of the orbit from earth's center is r. Assume that the earth is uniform sphere with a radius of R. The magnitude of acceleration due to gravity at the earth's surface is g.
What is the period of the satellite's orbital motion? From 1-4 below choose the correct answer.
(Answer: 3)

3. A copper container (mass 100g) holds 200 g of water. The temperature of the container and water is 20oC. A 150-g piece of copper heated to 80oC is placed in the water. The water is stirred thoroughly. After sufficient time elapses, to what temperature does the water change? From 1-5 below choose the best answer. Assume that no heat is transferred to or from the environment. The specific heat of water is 4.2 J/g.K, and the specific heat of copper is 0.40 J/g.K.
1. 23oC                                            3. 25oC                                      5. 27oC
2. 24oC                                            4. 26oC
(Answer: 5)

4. A half sphere of radius r is fixed to a horizontal floor. The inner surface of the sphere is smooth. A small ball of mass m is at the bottom point P of the sphere and is given an initial velocity v as in Figure. The initial velocity v is sufficiently large so that the small ball reaches a point Q at height r. Find the magnitude of the normal force exerted by the sphere on the small ball when the ball passes through the point Q. The acceleration due to gravity is denoted as g.

  • (Answer: c)


5. As shown in Figure 1, two people of the same height are holding up a box attached  to a pole. The center of gravity of the pole and the box is located at point G. The pole is supported at points A and B. The pole and the box do not change form.

As shown in Figure 2, the two people are now standing on a slope inclined by angle (θ < π/4) from the horizontal. The person supporting the upper end at A exerts a force of magnitude of FA vertically upward. The person supporting the lower end at B exerts a force of magnitude of FB vertically upward. What is the value of the ratio FA/FB ? From 1-6 below choose the correct answer.

(Answer: 6)

6. As shown in Figure 1, two tanks of different cross-sectional areas are connected by a pipe. The tanks are filled with water, and openings A and B are tightly sealed with pistons that can move without friction. Initially, both pistons are in equilibrium at the same height. The cross-sectional area of B is n times larger than that of A.
As shown in Figure 2, a force of magnitude F is applied vertically downward to the piston at A, causing it to move downward by distance h. As a result, the piston at B moves upward by distance h'. Next, a force of magnitude F' is applied vertically downward to the piston at B. As a result, both pistons return to their original positions shown in Figure 1. From 1-9 below choose the combination that correctly expresses h' and F'.


(Answer: 5)

7. As shown in the figure below, potential difference V exists between two parallel plates (a, b) that have a small hole. Uniform electric field E and magnetic flux density B exist in the region above the plates, and are perpendicular to each other. The direction of E is parallel to this page and plate b. The direction of B is perpendicular to this page, from back to front. A positively charged particle of charge q and mass m, initially at rest in the hole of plate a, is accelerated by potential difference V so that it enters the region above the plate perpendicularly to E and B and travels straight through the region
What is the ratio of the magnitude E of the electric field to the magnitude B of the magnetic flux density E/B ? From 1-6 below choose the correct answer.
(Answer: 2)



8. As shown in the figure below, an enclosed cylindrical container (cross-sectional area : S) is divided into two sections (A,B) by a piston (P). The length of each section is 10 cm. Each section contains a monoatomic ideal gas at temperature 0oC and pressure 1.0x105Pa (both contain the same type of gas). The gas B is in contact with a thermostatic bath at temperature 0oC, and does not change in temperature. The piston and container do not conduct heat. The area of contact between the piston and the container is tightly sealed and frictionless.
When the gas in A is heated to 57oC using a heater, what distance is traveled by P (in cm)? From 1-5 below choose the best answer. 
1. 0.1                                                         3. 1                                                       5. 10
2. 0.5                                                         4. 5

9.




10. The parallel-plate capacitor shown in Figure 1 consists of two plates (each with are S) separated by a distance of 2d. A charge of Q is stored in the capacitor. Next, as shown in Figure 2, an uncharged conductor of thickness d and area S is inserted between the capacitor's plates, parallel to them.
What is the ratio of the electrostatic energy in Figure 2 to the electrostatic energy in Figure 1? From 1-5 below choose the correct value.
1. 1/4                                                    3. 1                                                               5. 4
2. 1/2                                                    4. 2

11. An elastic ball is dropped on a long inclined plane. It bounces, hits the plane again, bounces, and so on. Let us label the distance between the points of the first and the second hit d12 and the distance between the points of the second and the third hit d23 . Find the ratio d12/d23.
Answer: 1/2


12. Sebuah partikel dengan massa m dan muatan Q mengalami dua macam medan homogen, yaitu medan gravitasi g arah sb-y negatif dan medan listrik E arah sb-x positif. Partikel itu ditembakkan dengan kecepatan v pada bidang vertikal dan membentuk sudut θ terhadap horizontal. Jarak terjauh lintasan partikel tersebut adalah 

Answer: C