Acyclist starts from rest and coasts down a 4.0∘ hill. the mass of the cyclist plus bicycle is 85 kg. ignore air resistance and friction.

a) after the cyclist has traveled 180 m , what was the net work done by gravity on the cyclist?

b) how fast is the cyclist going? in m/s

explain if

A) change in ht after 180m = 180 * sin(4-deg.) = 12.56m

net work done by gravity on the cyclist = mass * gravity * height diff.

= 85 * 9.8 * 12.56

= 10470J

= 10.5kJ

B) Kinetic energy = 1/2 * mass * vel.^2 = work done by gravity = 10470J

vel.^2 = 10470 * 2 / 85 = 246.4

vel. = 15.7m/s

1. Type of Material

2. Charge of an object

3. movement of an object

4. Presence of an electric field

Hope this helps uwu <3