What Equations Calculate Ball Trajectory and Force in Physics Problems?

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SUMMARY

The discussion focuses on calculating the trajectory and force of a ball kicked towards a fence using physics equations. Key parameters include a ball mass of 0.5 kg, an initial velocity of 20 m/s at a 37-degree angle, and a fence height of 2.5 m. The average net force exerted on the ball during the kick is determined, along with the time taken for the ball to reach the fence. The analysis concludes with whether the ball will hit the fence and the height at which it will do so.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Basic knowledge of projectile motion equations
  • Familiarity with trigonometric functions for angle calculations
  • Ability to perform kinematic calculations
NEXT STEPS
  • Calculate the average net force using the formula F = ma, where 'm' is mass and 'a' is acceleration.
  • Learn to apply projectile motion equations to determine time of flight and horizontal distance.
  • Explore the use of kinematic equations to analyze vertical motion and maximum height.
  • Investigate the effects of air resistance on projectile motion for more complex scenarios.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of projectile motion and force calculations in real-world applications.

crhscoog
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Homework Statement



A ball of mass .5kg, initially at rest, is kicked directly toward a fence from a point 32 meters away, as shown above. The velocity of the ball as it leaves the kicker's foot is 20m/s at an angle of 37 degrees above the horizontal. The top of the fence is 2.5m high. The kicker's foot is in contact with the ball for .05 second. The ball hits nothing while in flight and air resistance is negligible.

a. Determine the manitude of the avg net force exerted on the ball during the kick.

b. Determine the time it takes for the ball to reach the plane of the fence.

c. Will the ball hit the fence? If so, how far below the top of the fence will it hit? If not, how far above the top of the fence will it pass?
 
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crhscoog said:

Homework Statement



A ball of mass .5kg, initially at rest, is kicked directly toward a fence from a point 32 meters away, as shown above. The velocity of the ball as it leaves the kicker's foot is 20m/s at an angle of 37 degrees above the horizontal. The top of the fence is 2.5m high. The kicker's foot is in contact with the ball for .05 second. The ball hits nothing while in flight and air resistance is negligible.

a. Determine the manitude of the avg net force exerted on the ball during the kick.

b. Determine the time it takes for the ball to reach the plane of the fence.

c. Will the ball hit the fence? If so, how far below the top of the fence will it hit? If not, how far above the top of the fence will it pass?
You seem to have missed out a couple of important sections:

Homework Equations





The Attempt at a Solution

 

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