Solving for Time and Distance of a Rolling Ball

AI Thread Summary
To solve for the time it takes for a ball to fall from a height of 1.2 meters, the equation t = √(2y/g) can be used, where g is the acceleration due to gravity. For a height of 1.2 m, this results in a time of approximately 0.49 seconds. To find the horizontal distance the ball travels, the formula x = vt can be applied, using a horizontal speed of 1.5 m/s. This calculation yields a horizontal distance of about 0.74 meters. Thus, the ball will take approximately 0.49 seconds to reach the floor and land about 0.74 meters away from the bench.
kcc732
Messages
1
Reaction score
0

Homework Statement



Chuck gives a horizontal speed v to a ball that then rolls off a lab bench y meters high. How long a time will it take the ball to reach the floor? How far from a point on the floor directlyt below the edge of the bench will the ball land? Calculate how long and how far for v=1.5 m/s and a bench height of 1.2 m.


Homework Equations



Vx=d/t? only horizontal component of velocity is relevant, right?

The Attempt at a Solution


confused
 
Physics news on Phys.org
The question definitely involves both horizontal and vertical motion.
Better write equations for the y part, too. Usually one for Vy and one for y suffice.
 
hey kcc
aight so when ur doing projectile motion try using this equation to find t:
t = √(2y/g)
and now that u have t u can use the formula V=x/t to find x or arrange it so that its x=vt
:D et voila'
 
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...
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...
Back
Top