Thursday

April 17, 2014

April 17, 2014

Posted by **RagingRice** on Friday, November 30, 2012 at 1:57pm.

h1 = 1.95 m.

It goes down the ramp, the bottom of which is at a height of

h2 = 1.38 m

above the floor. The edge of the ramp is a short horizontal section from which the ball leaves to land on the floor. The diameter of the ball is 0.14 m.

(a) Through what horizontal distance d does the ball travel before landing?

(b) How many revolutions does the ball make during its fall?

- physics -
**Damon**, Friday, November 30, 2012 at 2:17pmRball = .07 meter

KE = (1/2) m v^2 + (1/2)I w^2

I = (2/5) m r^2

v = w Rball = .07 w

so

Ke = (1/2) m (.07 w)^2 + (2/5) m .07^2 w^2

= m (9/10) (.0049) w^2 = .00441 m w^2

Change in Pe down ramp = m g h = m(9.81)(.57) = .55917 m

Ke = change in Pe

.55917 m = .00441 m w^2

w^2 = 127

w = 11.3 radians/second

v = w r = .07*11.3 = .788 meters/second horizontal speed

Now how long to fall the last 1.38 meters?

1.38 = (1/2) g t^2

t^2 = .281

t = .53 seconds in the air

how far in .53 seconds at .788 m/s

x = v t = .788 * .53 = .418 meters

radians/second = 11.3

for .53 seconds = 5.99 radians

5.99/2 pi = .953 revolutions

CHECK MY ARITHMETIC

**Related Questions**

Physics - The moment of inertia of a solid uniform sphere of mass M and radius R...

Physics please help!! - A 1.94 kg solid sphere (radius = 0.105 m) is released ...

physics - A solid sphere of radius 23 cm is positioned at the top of an incline ...

physics - A 89 kg solid sphere with a 12 cm radius is suspended by a vertical ...

physics - A solid sphere of radius R is placed at a height of 32cm on a 15degree...

Physics - Four objects - a hoop, a solid cylinder, a solid sphere, and a thin, ...

Physics - 1. A hollow sphere and a solid sphere roll without slipping down two ...

PHYSICS - A 20.0 kg solid cylinder, 0.25m in radius, and a 5.0 kg thin hollow ...

PHYSICS - A 494 kg uniform solid sphere has a radius of 0.390 m. Find the ...

physics - Two solid spheres A and B are made from the same material. The mass of...