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bobie
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Homework Statement
A ball A hits another ball B 3 times more massive and rebounds at an angle λ = 43°.1... (cosλ =5/√52).
Can anyone determine the angle of impact? is it possible , at all?
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Simon Bridge said:. what is the angle with respect to?
You've already used λ for the rebound angle. Call it something else.bobie said:The angle of impact λ is the angle made by the trajectory of ball A with the line joining the centres of mass of the two balls CA-CB
Isn't there a formula to find directly one angle knowing the other one?haruspex said:draw yourself a diagram of the impact, invent symbols as necessary for the masses, velocities and angles, and write down the equations for conservation of momentum in the co-ordinate directions.
That should result from the momentum equations. Write them out, solve them, post how far you get.bobie said:Isn't there a formula to find directly one angle knowing the other one?
It shouldn't be difficult to work one if in principle it is possibel to find it, right?
Hi Simon, it is not homework (no school) , as usual I am speculating. I was just wondering why it is never mentioned.Simon Bridge said:Besides, giving you the formula, in this case, would amount to "doing your homework for you"; which we like to avoid.
The angle of impact is the angle at which an object or projectile hits a surface or target. It is typically measured in degrees and can impact the force and direction of the object's motion.
The angle of impact can be calculated using trigonometry. First, measure the distance from the point of impact to the target and the height of the target. Then, use the inverse tangent function to find the angle. The formula is: angle = arctan(height/distance).
The angle of impact can be affected by various factors such as the velocity and trajectory of the object, the shape and texture of the target, and any external forces acting on the object.
Finding the angle of impact is important for understanding the mechanics of a collision or impact. It can also help determine the cause and severity of an accident, aid in forensic investigations, and inform the design of protective structures.
Yes, in some cases, the angle of impact can be estimated without precise measurements. For example, if the impact creates a visible dent or deformation on the target, the angle can be approximated based on the direction and shape of the damage. However, for more accurate results, precise measurements should be taken.