8. [1pt] For each statement, pick the phrase that will make it true. E.g., if A
ID: 1998581 • Letter: 8
Question
8. [1pt]
For each statement, pick the phrase that will make it true. E.g., if A makes the first statement true, and B makes the rest true, enter ABBB. Select from:
Five round bodies of the same radius and mass are started from rest together and roll, without slipping, down an inclined plane. The bodies are a hollow sphere, a cylindrical can full of juice, a solid cylinder, a hollow cylinder, and a solid sphere. The hollow sphere takes _______ time compared to the cylindrical can full of juice to reach the bottom of the incline.
A block _slides_ down a frictionless incline and a sphere _rolls_ without slipping down an incline of the same angle, ?. The block and the sphere have the same mass; they both start from rest. When they have descended the same distance, the centre of mass of the block has _______ speed, compared to the centre of mass of the sphere.
A solid brass cylinder and a solid wood cylinder having the same mass and radius are released together from rest, and roll down an incline without slipping. They reach the bottom of the incline simultaneously. The wood cylinder is now shortened so that its length is the same as that of the brass cylinder and the experiment is repeated. Now, the wood cylinder takes _______ amount of time, compared to the brass cylinder.
Two identical balls are released from rest and roll without stopping to the bottom of their respective inclined planes. They are released from the same vertical height; incline 2 is much steeper than incline 1. Ball 1 has _______ speed when it reaches the bottom of its incline, compared to ball 2.
A) the same B) a greater C) a smaller NoExplanation / Answer
BCAA
1) Hollow Sphere takes greater time as compared to Cylinder filled with Juice. (Solid one always reaches faster than hollow one)
2) Center of mass of Block has smaller speed as center of mass of Sphere,as sphere,as sphere has rolling+translational KE but block has just Translational K.E.
3) Wood cylinder of Smaller length reaches down the incline at same time as compared to Brass cylinder(Length does not affect time to reach incline)
4) Both will have same speed when they reach down as height is same.
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