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Question

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?

The correct answer is
15000 N

Snowboard Force Calculation from Power

This problem involves calculating the force applied to a snowboard using concepts of power and velocity.

Physics Formula for Power

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:

$P = F \times v$

Rearranging for Force

The question asks for the applied force ($F$). We rearrange the formula:

$F = \frac{P}{v}$

Values Provided

The problem states:

  • Power, $P$ = 3000 W
  • Velocity, $v$ = 5 m/s

Determining the Force

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.

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Important Questions from Forces

  1. What is the direction of frictional force?
  2. 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:

  3. If the linear momentum of a moving object changes by two times, then its kinetic energy will change by a factor of
  4. Which one of the following statements with regard to Newton's third law of motion is NOT correct?
  5. The force of attraction applied between molecules of the same substance is called:
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