What Equations Calculate Ball Trajectory and Force in Physics Problems?

  • Thread starter Thread starter crhscoog
  • Start date Start date
AI Thread Summary
To calculate the ball's trajectory and force, the average net force exerted during the kick can be determined using Newton's second law, considering the mass and acceleration. The time to reach the fence involves calculating the horizontal component of the ball's velocity and the distance to the fence. The ball's height at the fence can be found using projectile motion equations, which account for the initial velocity and angle. By analyzing these factors, one can conclude whether the ball will hit the fence and how high above or below it will do so. This problem illustrates the application of physics equations in real-world scenarios involving projectile motion.
crhscoog
Messages
16
Reaction score
0

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?
 
Physics news on Phys.org
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

 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Vertical Component of this Picture?
Replies
1
Views
2K
Will the Ball Hit the Fence or Pass Above It?
Replies
5
Views
15K
How far above the top of a fence?
Replies
3
Views
9K
Simple projectile motion - problem with units
Replies
1
Views
4K
Finding Velocity and Height of a Kicked Ball
Replies
11
Views
7K
Determine the time it takes for the ball to reach the plane of the fence
Replies
2
Views
20K
Calculating Force Applied to Golf Ball by Club with Limited Data
Replies
6
Views
7K
What is the velocity of the ball after H height? Considering wind resistance?
Replies
1
Views
2K
What is the impulse and force exerted on a soccer ball when kicked?
Replies
10
Views
12K
Ted Williams' Home Run at the Skydome
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top