How Do You Calculate Hickey's Mass from His Skateboarding Speed Change?

[jack612blue]

Homework Statement

Hickey reached a speed of 35 m/s on his skateboard . Suppose it took 21,000 Joules of net work for Hickey to reach this speed from a speed of 25 m/s. Find Hickey's mass

Homework Equations

Work = Force x Distance Cos(theta)

The Attempt at a Solution

From my believe, the velocity initial is 25 m/s and the final velocity is 35 only m/s. The missing variable is the distance to solve the equation. Is it even possible to find the distance given velocity? Is the problem corrupt?

 

[rl.bhat]

Work done is equal to change in kinetic energy. Work done is given. Use kinetic energy formula and find M.

 

[kerimek]

It is possible to find the distance given velocity, as long as the acceleration is known. However, in this problem, the distance is not necessary to find Hickey's mass. Instead, we can use the formula for kinetic energy: KE = 1/2 * m * v^2, where m is the mass and v is the velocity. We can rearrange this formula to solve for mass: m = 2 * KE / v^2. In this case, the kinetic energy is equal to the net work done, so we can substitute 21,000 Joules for KE and 35 m/s for v. This will give us the mass of Hickey.