Power question involving sprinter

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The discussion focuses on calculating the horizontal force acting on a sprinter with a mass of 50.0 kg, who runs 56.0 meters in 9.40 seconds with constant acceleration. To determine the force, participants suggest using Newton's second law (F = ma) and kinematic equations to first find the acceleration. The power output of the sprinter is to be calculated at specific time intervals of 1.10, 3.70, and 5.20 seconds using the formula P = work/t.

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  • Understanding of Newton's second law (F = ma)
  • Familiarity with kinematic equations
  • Knowledge of power calculation (P = work/t)
  • Basic physics concepts related to motion and acceleration
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  • Calculate constant acceleration using kinematic equations
  • Determine horizontal force using F = ma
  • Compute power output at specified time intervals
  • Explore advanced kinematics for varying acceleration scenarios
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Physics students, educators, and anyone interested in understanding the dynamics of motion and power calculations in sports science.

angotta
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1. A 50.0 sprinter, starting from rest, runs 56.0 in 9.40 at constant acceleration
What is the magnitude of the horizontal force acting on the sprinter?
What is the sprinter's power output at 1.10 , 3.70 , and 5.20 ?




2. Homework Equations
I would imagine f=ma and possibly some kinematics for part a, and then P= work/t




3. The Attempt at a Solution :
I can't find the force which seems to be the hardest part
 
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angotta said:
1. A 50.0 sprinter, starting from rest, runs 56.0 in 9.40 at constant acceleration
What is the magnitude of the horizontal force acting on the sprinter?
What is the sprinter's power output at 1.10 , 3.70 , and 5.20 ?

2. Homework Equations
I would imagine f=ma and possibly some kinematics for part a, and then P= work/t

3. The Attempt at a Solution :
I can't find the force which seems to be the hardest part

You know F = M*a, so what is the constant acceleration?

X = 1/2*a*t2
 
I'm assuming the units on the three numbers in your first line are kg, m, and s respectively?

You're going to want to find the acceleration a first using one of your kinematics equations. Then identify the mass from your given information and plug m and a into your equation for force.
 

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