Dynamics — Quiz 3

Questions in this quiz (10)

1. A stone with mass 200 g is thrown upward with velocity 18 m/s. Find the kinetic energy of the stone when it is 3 m above the initial point.

   • 19.42 J
   • 21.12 J
   • 22.92 J
   • 26.51 J

2. A particle moves according to the velocity function v(t) = 12t + 2 m/s. Calculate the distance traveled by the particle from 2 s to 5 s.

   • 78 m
   • 96 m
   • 114 m
   • 132 m

3. A 1200 kg car moves with a velocity of 72 km/h and enters a curve with radius 800 m. Determine the minimum coefficient of friction between the road and car so that the car can move in the curve without brakes.

   • 0.032
   • 0.041
   • 0.051
   • 0.061

4. A 10 kg box is pushed upward along an inclined plane of 20° to the horizontal. Determine the force required to push the box so that it accelerates 1.5 m/s² up the incline. Assume the coefficient of friction between the incline and box is 0.25.

   • 52 N
   • 63 N
   • 74 N
   • 85 N

5. A 2 kg blue billiard ball moves to the right with a velocity of 25 m/s, while a 3 kg red billiard ball moves to the left with velocity 10 m/s. After collision, they move together. Find their final velocity.

   • 4 m/s
   • 7 m/s
   • 8 m/s
   • 9 m/s

6. A box slides 10 m down an inclined plane of 25°. The coefficient of friction between box and incline is 0.15. If the box starts from rest, find the velocity at the bottom.

   • 5.2 m/s
   • 6.1 m/s
   • 7.5 m/s
   • 8.2 m/s

7. A particle's motion is represented by s(t) = 18t + 3t² − 4t³ where s is in meters and t is in seconds. The particle's acceleration (m/s²) after 2 sec is most nearly:

   • 48
   • -36
   • -54
   • -42

8. A particle's velocity is represented by v(t) = 18 + 3t m/s, where t is in seconds. The particle's travel distance (m) after 8 sec is most nearly ______. (write the answer in full number without unit)

   • 240

9. A vehicle traveling at 45 miles per hour sees the yellow signal just as it approaches the junction. The yellow signal lasts 3 seconds and the junction is 120 feet long. The vehicle's acceleration (ft / sec² ) to cross the junction in time is most nearly:

   • 11.4
   • 13.8
   • 15.2
   • No acceleration is required

10. A train starts from rest with an acceleration of 8 m/s². Parallel to this train, a car starts at the same time with uniform speed of 80 m/s. The train will overtake the car most nearly after:

    • 12 s
    • 16 s
    • 20 s
    • 24 s