A snowboard pulled up by a tow rope travels at the rate of 5 m/s up a mountain If 3000 watt of power is used, what force was applied to it?

To find the force applied to the snowboard, we use the fundamental relationship between power, force, and velocity. Power is defined as the rate of doing work [1]. In mechanical systems involving constant velocity, power (P) is calculated using the formula P = F × v, where F is the force applied in the direction of motion and v is the velocity . Given that the snowboard travels at a constant rate of 5 m/s and the power used is 3000 watts, we can rearrange the formula to solve for force: F = P / v . Substituting the provided values, F = 3000 W / 5 m/s, which equals 600 N . This calculation assumes the force is applied in the same direction as the displacement up the mountain. Therefore, the force applied to the snowboard is 600 N, corresponding to option 3.

Sources

1. [1] Science , class X (NCERT 2025 ed.) > Chapter 11: Electricity > 11.8 ELECTRIC POWER > p. 191