How to calc the force needed to change direction of a moving object?

In summary, to change the direction of a 5 kg ball coming at 20 m/s at a 90 degree angle, you would need to use a force of 5 kg * (20 m/s)^2 = 100 J.
  • #1
Dastan
3
0

Homework Statement



A ball [Weight 5 kg & velocity 20 m/s] coming straight at me. How much force I would need to change its direction at 0 degree on left side & sent 20 meters?

I simply don't know what formula I should use.Let alone how to calc it.
 
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  • #2
How much force I would need to change its direction at 0 degree on left side & sent 20 meters?
How do you mean that? (Can you draw a sketch?)

The answer will certainly use F=ma, but to determine the necessary acceleration you have to determine which path the ball should take.
 
  • #3
Suppose the ball [Red Dot] is coming from above at said speed at 90 degree.

http://img27.imageshack.us/img27/8700/3e0a.png

I have to use force to send it to green dot [after it reaches me] while it was still moving.

Shouldn't I have to overpower the ball's KE?:hmm
 
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  • #4
The "zero degrees" before was misleading because you had not specified a coordinate system. Apparently you are assuming a coordinate system in which 0 degrees is to your left and 90 degrees directly ahead. In other words you want to change its direction by 90 degrees.

But then you say "and sent 20 meters" That makes no sense because you can only change it velocity. Unless you are assuming specific air resistance, which you do not give, there is no reason for it to stop at any distance.
 
  • #5
In addition, if you deflect the ball like this, the force will depend significantly on the exact path the ball takes during that deflection.
 
  • #6
Dastan said:
Shouldn't I have to overpower the ball's KE?:hmm
You can't 'overpower' Kinetic Energy; whatever you may mean by it...
You can absorb K.E. You can give it more K.E. Overpower, mmm..nope.
The change in direction of velocity relates to change in momentum.
Force is rate of change of momentum wrt time.
With given information you can at best calculate change in momentum.
Also as others have mentioned the ball won't stop after 20m.
Have you been given air resistance, or the height at which ball is at?
And it may that by 20m you really mean 20m/s?
 

FAQ: How to calc the force needed to change direction of a moving object?

How do you calculate the force needed to change the direction of a moving object?

To calculate the force needed to change the direction of a moving object, you will need to know the mass of the object, its initial velocity, and the angle at which you want to change its direction. You can then use the formula F = ma, where F is the force, m is the mass, and a is the acceleration. The acceleration can be calculated by dividing the change in velocity by the time it takes to make the change.

What is the difference between changing the direction of a moving object and changing its velocity?

Changing the direction of a moving object refers to changing the angle at which it is moving, while changing its velocity refers to changing its speed. Both require the application of a force, but the direction change also involves a change in the direction of the force.

How does the mass of an object affect the force needed to change its direction?

The mass of an object directly affects the amount of force needed to change its direction. The larger the mass, the greater the force required. This is because a larger mass has a greater inertia, meaning it is more resistant to changes in its motion.

Can you change the direction of a moving object without applying a force?

No, changing the direction of a moving object always requires the application of a force. This is because of Newton's first law of motion, which states that an object will continue moving in a straight line at a constant speed unless acted upon by an external force.

What are some real-life examples of changing the direction of a moving object?

Some real-life examples of changing the direction of a moving object include a soccer player kicking a ball, a car turning a corner, a tennis player hitting a backhand, and a satellite changing its orbit around a planet. In all of these situations, a force is applied to change the direction of the moving object.

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