Newton's Second Law finding value of force problem

In summary, to find the force with which a soccer ball of mass 0.5 kg hits a rock when kicked with a speed of 14 m/s and in contact for 0.18 seconds, you can use the formula Force = Momentum/Time. The momentum is calculated by multiplying the mass and velocity of the ball, and the time is the duration of contact. Therefore, the force is 38.9N.
  • #1
goomer
31
0

Homework Statement



If a soccer ball of mass 0.5 kg is kicked with a speed of 14 m/s and hits a rock and is in contact with it for 0.18 seconds, with what force will it hit?

Homework Equations



Fnet = ma

The Attempt at a Solution



I have no idea what to do to get the acceleration for the above formula. It can't possibly be just 14/0.18 can it?
 
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  • #2
Force can also be defined in terms of momentum and time. What is it, and can you use that in this problem?
 
  • #3
Oh I see, so:

Force = Momentum/Time

Momentum = Mass * Velocity = 0.5 kg * 14 m/s = 7

Force = 7/0.18 s = 38.9N right?
 
  • #4
goomer said:
Oh I see, so:

Force = Momentum/Time

Momentum = Mass * Velocity = 0.5 kg * 14 m/s = 7

Force = 7/0.18 s = 38.9N right?

Yep! :approve:

Force is actually the change in momentum per unit time. But since the ball was in contact with the stone for that time, and its velocity was zero then, your equation worked out.
 
  • #5
Thank you so much for your help!
 

1. What is Newton's Second Law?

Newton's Second Law, also known as the Law of Force and Acceleration, states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass. In simpler terms, the greater the force applied to an object, the greater its acceleration will be.

2. How is Newton's Second Law used to find the value of force in a problem?

In order to use Newton's Second Law to find the value of force in a problem, you will need to know the mass of the object and the acceleration it is experiencing. You can then use the formula F = ma, where F is the force, m is the mass, and a is the acceleration. By plugging in the known values, you can solve for the force.

3. What is the unit of force in Newton's Second Law?

The unit of force in Newton's Second Law is Newtons (N). This unit is equivalent to kg*m/s^2 (kilograms times meters per second squared). This unit is derived from the formula F = ma, where mass is measured in kilograms (kg) and acceleration is measured in meters per second squared (m/s^2).

4. Can Newton's Second Law be used for objects at rest?

No, Newton's Second Law only applies to objects that are in motion or experiencing acceleration. When an object is at rest, the net force acting on it is equal to 0, and therefore the acceleration is also equal to 0. This means that the object will not experience any change in its motion, and Newton's Second Law does not apply.

5. Is Newton's Second Law applicable to all types of motion?

Yes, Newton's Second Law is applicable to all types of motion, whether it is linear, circular, or rotational. The law states that the acceleration of an object is directly proportional to the net force acting on it, regardless of the type of motion. However, the direction of the force and acceleration may vary depending on the type of motion.

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