Newton's laws, finding acceleration and force

AI Thread Summary
The problem involves calculating the acceleration of a sled being pushed by a football player, factoring in applied force, friction, and the mass of both individuals. The net force acting on the sled is determined to be 500.5 N, resulting in an acceleration of 4.42 m/s². To find the force the football player must apply to the ground, it is necessary to consider the total mass being accelerated, which includes both the player and the sled. The player needs to apply a horizontal force greater than the gravitational force acting on him to achieve this acceleration. Clarification is sought on how to correctly calculate the force required for the player to push against the ground.
jevillan
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Homework Statement


A large football player student (1.0 x 10^2 kg) applies a 6.0 x 10^2 N force to another equally burly student (1.0 x 10^2 kg) sitting on a sled (13.2 kg). If sliding friction and air resistance (drag) is 99.5 N, find the acceleration of the sled. In addition, how much force does the football player need to apply to the ground to accomplish this feat? Remember, he needs to get himself moving too!


Homework Equations


Fnet = ma
Fg = mg
a = ?


The Attempt at a Solution


Fapp = 600 N
Fnet = 600 - 99.5 = 500.5 N
Fnet = ma
500.5 = (100 + 13.2)a
a = 4.42 m/s/s

Acceleration of sled = 4.42 m/s/s

"how much force does the football player need to apply to the ground to accomplish this feat"

m of football player: 100 kg
Fg = 100*9.8 = 980 N
Force football player needs to apply: 980 N

I don't think I did that last part of the question right. How do I find the force the football player needs to apply?
 
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Your first part looks good. In part 2, the problem is asking what horizontal force must be applied by the player to the ground in order for both the players and the sled to accelerate at that rate.
 
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