In an arcade game a 0.144 kg disk is shot across a frictionless horizontal surface by compressing it against a spring and releasing it. If the spring has a spring constant of 164 N/m and is compressed from its equilibrium position by 7 cm, find the speed with which the disk slides across the surface.

The speed with which the disk slides across the surface is 2.36 m/s.

Explanation:

 Given that,

Mass of the disk, m = 0.144 kg

Spring constant of the spring, k = 164 N/m

The spring is compressed from its equilibrium position by 7 cm or 0.07 m

We need to find the speed with which the disk slides across the surface. It is a case of conservation of energy in which the energy of the spring is gained by its kinetic energy. It is given by :

v is speed of the disk.

So, the speed with which the disk slides across the surface is 2.36 m/s.

a) Ra = 0.517 Ω

Rb = 0.032 Ω

Rc = 0.129 Ω

b) Ia = 5.8A

Ib = 93.75A

Ic = 23.2 A

Explanation:

a) The resistance is equal to:

Resistance for case a:

Where

p = 1.5x10⁻²Ωm

L0 = 5.8 cm = 0.058 m

Resistance for case b:

Resistance for case c:

b) The current is equal to:

Current for case a:

Current for case b:

Current for case c: