Now assume that the object is a solid sphere and instead of sliding down the hill, it ROLLS down the hill. It still starts from rest at a height of 1.4 m. Determine how fast it will be going at the bottom of the hill. Assume no thermal energy is generated and express your answer using appropriate mks units. Round your answer to the NEAREST THOUSANDTH
Now assume that the object is a solid sphere and instead of sliding down the hill,...
A hollow sphere starts from rest and rolls down a hill without sliding. At the bottom of the hill, it has a linear velocity of 5 m/s. What was the height of the hill the sphere rolled down (in meters)?
1. A solid sphere of radius R, mass M. and mo- ment of Inertia I = MR is rolling down a hill. It starts at rest at a height h. Find its speed at the bottom of the hill. Compare this to the speed an object of mass M would have after sliding down a frictionless hill also of height h.
2. Rolling down the hill (a) A solid cylinder of mass 1.0 kg and radius 10 cm starts from rest and rolls without slipping down a 1.0 m-high inclined plane. What is the speed of the cylinder when it reaches the bottom of the inclined plane? (b) How about a solid sphere of the same mass and radius? (c) How about a hoop of the same mass and radius? (d) Which of the above objects is moving fastest when it...
1) What will be the speed of a solid sphere of mass M and radius R0 when it reaches the bottom of incline if it starts from rest at a vertical height of H and rolls without slipping? Compare to the case of an object sliding down with no rotation. (replace the variables with any number) 2) A bullet of mass m and v strikes and becomes imbedded at the edge of a cylinder of mass m and radius R0....
What is the final velocity of a solid sphere that rolls without slipping down a 8.3 m high hill? Assume that it started from rest.
A solid cylinder of radius R and mass m, and moment of inertia mR2/2, starts from rest and rolls down a hill without slipping. At the bottom of the hill, the speed of the center of mass is 4.7 m/sec. A hollow cylinder (moment of inertia mR2) with the same mass and same radius also rolls down the same hill starting from rest. What is the speed of the center of mass of the hollow cylinder at the bottom of...
Now we are going to look at the problem of an object sliding down a frictionless inclined plane. Suppose a toboggan loaded with vacationing students (total weight w) slides down a long, snow-covered slope. The hill slopes at a constant angle α, and the toboggan is so well waxed that there is virtually no friction. Find the toboggan’s acceleration and the magnitude n of the normal force the hill exerts on the toboggan. At what angle does the hill slope...
Question 7 1 pts A rock is sliding down a hill. Assume that the hill is 20 meters high and the rock has a mass of 1,000 kilograms. If the rock started at the top of the hill with no initial speed, how much is its kinetic energy when it reaches the bottom of the hill? Use g=10 m/s2. Give the answer in kilojoules.
A solid sphere has a 0.8 m long string wrapped around it. The free-end of the string is held and the solid sphere is released thus unwinding the string as it falls. Determine how fast the solid sphere will be going at the moment the string is completely unwound assuming no thermal energy is generated. String Blocks & a pulley In the diagram below the red block has a mass of 9 kg, the blue block has a mass of...
3. A round item of mass M starts from rest at the top of a hil of height h. It rolls down the hill, gaining both translational and rotational kinetic energy. Choose either a solid sphere (I = 름MR2), a solid cylinder (1-AMR2), or a hoop (I =MR2) and calculate the translational velocity v of the object at the bottom of the hill in terms of M, g, h, and numerical constants.