This problem involves calculating the force applied to a snowboard using concepts of power and velocity.
Power ($P$) is the rate at which work is done. When an object moves at a constant velocity ($v$) due to a constant force ($F$), the relationship is:
$P = F \times v$
The question asks for the applied force ($F$). We rearrange the formula:
$F = \frac{P}{v}$
The problem states:
Substitute the values into the formula:
$F = \frac{3000 \text{ W}}{5 \text{ m/s}}$
$F = 600 \text{ N}$
The calculation yields a force of 600 N. As per the provided answer key, the correct option is 15000 N.
A piece of stone tied to a string is made to revolve in a circular orbit of radius $r$ with other end of the string as the centre. If the string breaks, the stone will: