Physics · The potential energy of a spring, conservation of mechanical energy, conservative and non-conservative forces
A spring is kept compressed by a toy car of mass On releasing the car it moves w
A spring is kept compressed by a toy car of mass \( 150 g . \) On releasing the car it moves with a speed of \( 0.2 m s^{-1} . \) So, the elastic potential energy of the spring is
- A. 3 m J \)
- B. \( 3 J \)
- C. \( 1.5 m J \)
- D. \( 4 m J \)
Step-by-step solution
The elastic potential energy stored in the spring is converted entirely into the kinetic energy of the car (assuming no energy losses). Kinetic energy is given by KE = (1/2)mv^2. With mass m = 150 g = 0.15 kg and speed v = 0.2 m/s, KE = 0.5 * 0.15 * (0.2)^2 = 0.5 * 0.15 * 0.04 = 0.003 J = 3 mJ.
Related MCQs
- Which quantity of a two particles system depend only on the separation between the two particles?…
- A body is dropped from a certain height from the ground. When it is halfway down, it possess,…
- A single conservative force \) acts on a particle that moves along the x-axis. The potential energy \) is =20+(x-2)^{2} \) where is in meter…
- A wire suspended vertically from one of its ends is stretched by attaching a weight of to the lower end. The weight stretches the wire by 1 …
- Assertion Graph between potential energy of a spring versus the extension or compression of the spring is a straight line Reason Potential e…