How can you identify a solid sphere from a hollow sphere of same mass and radius?
Rotating them along any one axis will tell the difference. This is because the moment of inertia of a solid sphere is different from a spherical shell of the same mass.
What is different about the motion of a hollow ball?
The hollow sphere will accelerate slower than the solid one (due to their different moments of inertia).
Which reaches the bottom of an inclined plane first?
The answer is that the solid one will reach the bottom first.
What difference in recoil would you expect while firing a solid ball versus a hollow ball with same speed from same cannon explain in details?
As cannon exerts same force on the cannon ball, it fires the both solid and hollow ball with same velocity.As the mass of the solid ball is large compared to the hollow ball, it has large momentum than the hollow ball. So,for solid ball the cannon will recoil more than the hollow ball.
What is hollow sphere and solid sphere?
The solid sphere is has the moment of inertia as 52mr2 and that of hollow sphere is 32mr2. The moment of inertia for hollow sphere is larger thereby having a greater resistance to motion. Thus the solid sphere will have greater speed.
How do you identify two balls having the same external radius and weight one hollow and the other solid of different materials?
The two balls must have significantly different densities as one is hollow and other solid with same dimensions. The one with larger density is hollow.
Is a ball a solid sphere?
The ball that reaches the bottom first is the solid sphere. Because the balls have equal size and mass, the only difference between them is the moment of inertia, , which is the rotational analogue to mass.
How can you tell the difference between a hollow sphere and a solid sphere?
Since the moment of inertia of a hollow sphere is more than the moment of inertia of a solid sphere, hence we can say that the acceleration is greater for solid sphere than the hollow sphere. So the solid sphere reaches the bottom with greater speed. Hence the correct answer is option B.
Why does a solid sphere reach the bottom first?
Since both objects have the same mass, the one with a larger moment of inertial will have more total kinetic energy if they rotate and move with the same speed. The sphere will have a greater speed and it will reach the bottom first, because its moment of inertia is smaller.
Why do solid objects roll faster?
This is because the solid sphere will have more of its mass at a smaller distance from the axis of rotation. With its smaller “rotational mass”, the solid sphere is easier to rotate so the solid sphere will roll down a hill faster.
Is a ping pong ball hollow or solid?
Both ball types are hollow and have the same diameter but deform in very different ways. Ping pong balls are relatively stiff and buckle inwards at high impact speeds, while squash balls are softer and tend to squash or flatten.
What is meant by hollow sphere?
In gravity, a hollow sphere has a three-dimensional equipotential region inside, with no gravity (see shell theorem).
How do you tell if a ball is solid or liquid?
One simple way to find out is to release both balls at the top of an incline. The ball that reaches the bottom first is the solid sphere. Because the balls have equal size and mass, the only difference between them is the moment of inertia, I, which is the rotational analogue to mass.
What is the difference between solid ball and hollow ball?
The total mass of each ball must be the same. However, the mass in the hollow ball is distributed over larger r than the mass in the solid ball. So I must be larger in the hollow ball. They will have different moments of inertia. The hollow ball will have a much greater moment of inertia than the solid ball.
How many balls are on each side of a scale?
Don’t answer three. Three is wrong. It’s the tempting answer — weigh all the balls, four on each side. Determine which side is heavier. Then take the heavier group of four and divide them again, two on one side of the scale, and two on the other.
How do you determine the weight of a heavy ball?
Determine which side is heavier. Then take the heavier group of four and divide them again, two on one side of the scale, and two on the other. Determine which side is heavier. Now you know the heavy ball is one of two possibilities. Weigh them both on opposite sides of the scale and bam: In three weighings, you’ve identified the heaviest ball.