Workign with free-fall acceleration.

A rock is dropped from a 100-m-high cliff. How long does it take to fall: A) The first 50 m B) The second 50 m?

Determining the smallest distance between objects in an electron microscope.

Electrons are accelerated through 40,000 V in an electron microscope. What is the smallest observable distance between objects seen with this microscope?

Calculating the velocity of a ball compressed into a spring.

In preparation for shooting a ball in a pinball machine, a spring (k= 675 N/m) is compressed by 0.0650 m relative to its unstrained length. The ball (m= 0.0585 kg) is at rest against the spring at point A. When the spring is released, the ball slides (without rolling) to point B, which is 0.300m higher than point A. How fast is the ball moving at B?

Energy

A spring is compressed by 0.0800m and is used to launch an object horizontally with a speed of 2.40 m/s. If the object were attached to the spring, at what angular frequency (in rad/s) would it oscillate?

Working with stress, strain and Hooke's Law.

An 1800-kg car, being lifted at a steady speed by the crane, hangs at the end of a cable whose radius is 6.0x10^-3m. The cable is 15m in length and stretches by 8.0x10^-3m because of the weight of the car. Determine (a) the stree (b) the srain (c)Youngs modulus for the cable