The mass of the running back is 81.6 kg. The centripetal acceleration is 64 m/s². The centripetal force is 5248 N.
The mass of the running back can be found using the formula F = ma, where F is the force, m is the mass, and a is the acceleration. The centripetal force can be calculated using the equation F = mv²/r, where F is the force, m is the mass, v is the velocity, and r is the radius of the circular path. The centripetal acceleration can be found using the equation a = v²/r.
1. To find the mass, rearrange the equation F = ma to solve for m: m = F/a. Substitute the given values: m = 800 N / 9.8 m/s² = 81.6 kg.
2. To find the centripetal acceleration, substitute the given values into the equation a = v²/r: a = (8 m/s)² / 1 m = 64 m/s².
3. To find the centripetal force, substitute the given values into the equation F = mv²/r: F = (81.6 kg)(8 m/s)² / 1 m = 5248 N.