SOLUTION: Can someone please help me with this problem: A 430-g soccer ball lying on the ground is kicked with a force of 800 N. If the kick lasts 0.01s, the ball flies off with a speed o

Question 190778: Can someone please help me with this problem:
A 430-g soccer ball lying on the ground is kicked with a force of 800 N. If the kick lasts 0.01s, the ball flies off with a speed of
a. 0.0186 m/s
b. 0.182 m/s
c. 1.90 m/s
d. 18.6 m/s
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note: 430 g = 0.430 kg (the standard mass unit is a kilogram)

First, recall that Newton's Second Law is:

where "F" is the force applied to the object, "m" is the mass of the object, and "a" is the acceleration that the the object undergoes.

Since "A 430-g soccer ball lying on the ground is kicked with a force of 800 N", this means that (see note above) and

So the equation then becomes and solving for "a" gets us

So the acceleration is roughly meters per second squared.

------------------------------------

Now recall that one of the many kinematics equations is

where "v" is the final velocity, is the initial velocity, "a" is the acceleration, and "t" is the time the force is applied

So because the initial velocity is 0, this means that . Since "the kick lasts 0.01s", this means that

Start with the given kinematics equation.

Plug in , , and

Simplify

Multiply

Round to the nearest tenth

So the ball flies off at a speed of about 18.6 m/s

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