Based on the equation for the conservation of energy: if a solid sphere has a smaller moment of inertia it will then have a lower rotational energy than a hollow sphere. So, the solid sphere must have a higher translational energy and reach the bottom at a higher velocity.
Better?
Homework Statement
Two spheres look identical and have the same mass. However, one is hollow and the other is solid. Describe an experiment to determine which is which.
Homework Equations
mgh= ½ m v^2 + ½ I ω^2
where I= 2/3 mr2 for a hollow sphere
I=2/5 mr2 for a solid sphere The Attempt...
Thanks for your reply! Does this mean that where I used (1.11m-0.2m) as the distance in the torque equation for the sign, I should have just used (1.0m-0.2m)?
And Qwertywerty thanks for adding your thoughts as well!
Homework Statement
A 30 kg neon sign is suspended by two cables, as shown. Three neighbourhood cats (5.0 kg each) find the sign a comfortable place. Calculate the tension in each cable when the cats are in the positions shown.
Ft1 = tension in left cable
Ft2 = tension in right cable...
Homework Statement
Three boxes are in contact with each other on a frictionless horizontal surface as shown. The masses of the boxes are m1 = 10 kg, m2 = 20 kg, and m3 = 30 kg. A horizontal force F = 90 N is applied to m1.
Calculate:
a. the acceleration of the three boxes.
b. the net force on...
Homework Statement
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A 2.0 kg ball moving with a speed of 3.0 m/s hits, elastically, an
identical stationary ball as shown. If the first ball moves away
with angle 30° to the original path, determine:
a. the speed of the first ball after the collision.
b. the speed and direction of the...
Thanks SammyS!
Yes, that makes more sense that I should subtract.
Can I just subtract the south momentum from the east or does the directionality mess that up? Or I think I could also use the change in velocity multiplied by mass. I am getting confused thinking about whether I need to...
Homework Statement
A 15,000 kg loader traveling east at 20 km/h turns south and travels at 25 km/h. Calculate the change in the loader’s
a. kinetic energy.
b. linear momentum.
Homework Equations
KE=(1/2)mv^2
p=mv
p(i)=p(f) : I am assuming I can ignore gravity The Attempt at a Solution
I know...