Newton's laws, finding acceleration and force

This can be found using the equation Fnet = ma, where the mass is the combined mass of the players and the sled (100 kg + 13.2 kg = 113.2 kg) and the acceleration is 4.42 m/s/s. So the force needed would be 113.2 kg * 4.42 m/s/s = 500.024 N, or about 500 N.
  • #1
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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  • #2
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.
 

FAQ: Newton's laws, finding acceleration and force

What are Newton's laws of motion?

Newton's laws of motion are three fundamental laws that describe the behavior of objects in motion. The first law states that an object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity unless acted upon by an external force. The second law states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass. The third law states that for every action, there is an equal and opposite reaction.

How do I find acceleration?

To find acceleration, you must use Newton's second law of motion, which states that acceleration is equal to the net force acting on an object divided by its mass. The formula for acceleration is a = F/m, where a is acceleration, F is the net force, and m is the mass of the object.

3. What is the difference between mass and weight?

Mass is a measure of an object's inertia, or its resistance to changes in motion. It is a constant property of an object and is measured in kilograms. Weight, on the other hand, is a measure of the force of gravity acting on an object. It is dependent on the mass of the object and the strength of the gravitational field it is in and is measured in newtons.

4. How do I calculate force?

To calculate force, you must use Newton's second law of motion, which states that force is equal to the mass of an object multiplied by its acceleration. The formula for force is F = ma, where F is force, m is mass, and a is acceleration. Force is measured in newtons.

5. What is the relationship between force and acceleration?

The relationship between force and acceleration is described by Newton's second law of motion, which states that force is directly proportional to acceleration. This means that as the force acting on an object increases, its acceleration will also increase. However, if the mass of the object increases, the acceleration will decrease, as the force must be spread over a larger mass.

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