You are playing a game where you roll a ball up a ramp to try to...
- You are playing a game where you roll a ball up a ramp to try
to get the ball to drop into a hole. You roll a 0.60 kg solid ball
with a radius of 3.6 cm along a flat surface with a ramp at the
end. The ball rolls up the ramp without slipping, and if you’ve
successfully aimed your roll, the ball will drop into a hole in the
ramp. The setup is shown on the right.
- At a certain time while the ball is rolling, it has a linear velocity of 2.9 m/s. What is the linear kinetic energy of the ball? What is the rotational kinetic energy of the ball?
- You are aiming for a hole whose opening is 0.75 m above the ground. What is the initial linear velocity you need to give the ball in order to just barely reach the hole?
Homework Answers
A bowling ball rolls up a ramp 0.38 m high without slipping to storage. It has...
A bowling ball rolls up a ramp 0.38 m high without slipping to storage. It has an initial velocity of its center of mass of 3.6 m/s. (a) What is its velocity at the top of the ramp (in m/s)?
Problem -2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without...
Problem -2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without slipping on a level surface at a constant speed of 4.0 m/s. The ball rolls up a 40- ramp and eventually stops before rolling back down. (the moment of inertia of a hollow ball of mass M and radius RisMR2) Find: (a) the angular (rotational) speed of the ball (in rad/sec) just before it begins to move up the ramp: (b) the rotational kinetic...
Problem #2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without...
Problem #2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without slipping on a level surface at a constant speed of 4.0 m/s. The ball rolls up a 40° ramp and eventually stops before rolling back down. (the moment of inertia of a hollow ball of mass M and radius R is MR2) Find: (a) the angular (rotational) speed of the ball (in rad/sec) just before it begins to move up the ramp; (b) the...
Group Activity: Ball rolling down ramp and off cliff As shown in the figure below, a hollow ball ...
Group Activity: Ball rolling down ramp and off cliff As shown in the figure below, a hollow ball with a mass m 5.00 kg and radius r -30.0cm starts from rest and rolls a distance of 1.2 m down a 30° ramp, before reaching a flat section at the bottom of the ramp. The ball then rolls along the flat section for 1.0 m before rolling off a 2.5 m-high cliff. The ball lands a distance d from the bottom...
A spherical bowling ball with mass m = 4 kg and radius R = 0.114 m...
A spherical bowling ball with mass m = 4 kg and radius R = 0.114
m is thrown down the lane with an initial speed of v = 8.7 m/s. The
coefficient of kinetic friction between the sliding ball and the
ground is ? = 0.32. Once the ball begins to roll without slipping
it moves with a constant velocity down the lane.
1)
What is the magnitude of the angular acceleration of the bowling
ball as it slides down...
After you pick up a spare, your bowling ball rolls without slipping back toward the ball...
After you pick up a spare, your bowling ball rolls without slipping back toward the ball rack with a linear speed of V = 3.32 m/s, as shown in the figure below. VE? To reach the rack, the ball rolls up a ramp that rises through a vertical distance of h = 0.563 m. What is the linear speed of the ball when it reaches the top of the ramp?
A spherical bowling ball with mass m = 3.3 kg and radius R = 0.111 m...
A spherical bowling ball with mass m = 3.3 kg and radius R = 0.111 m is thrown down the lane with an initial speed of v = 8.9 m/s. The coefficient of kinetic friction between the sliding ball and the ground is μ = 0.29. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. 1)What is the magnitude of the angular acceleration of the bowling ball as it slides down the...
A bowling ball of mass 1.5kg and radius 0.3m rolls with linear speed 2.5m/s along the...
A bowling ball of mass 1.5kg and radius 0.3m rolls with linear speed 2.5m/s along the ground toward a small incline. Assume rolling without slipping! 1.1) What is the moment of inertia of the bowling ball? 1.2) What is the total kinetic energy of the bowling ball? 2.3) If the bowling ball encounters a hill, to what height can it roll up the hill before stopping? (use conservation of energy) 2.4) Will a solid cylinder with the same mass and...
A bowling ball (mass=7kg, radius=0.15 m) rolls up a ramp with a 0.8 m vertical rise....
A bowling ball (mass=7kg, radius=0.15 m) rolls up a ramp with a 0.8 m vertical rise. Ignore frictional losses and assume that the mass of the ball is distributed uniformly. The translational speed of the ball is 6 m/s at the bottom of the ramp. (Isphere=(2/5)MR^2) At the bottom of the ramp, what is the 1.) moment of inertia 2.) linear speed 3.) angular speed 4.) translational KE 5.) rotational KE 6.) gravitational PE Use this information and the conservation...
1) You roll a ball up a ramp of length L and measure the amount of...
1) You roll a ball up a ramp of length L and measure the amount of time for the ball to reach the top of the ramp to be At. Determine the magnitude of the acceleration of the ball in terms of the variables L and At only. (The symbolic answer for the magnitude of the acceleration will not contain the initial speed or the angle of incline.) For the physical representation (part 2a), draw a motion diagram and graphs...
Problem -2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without slipping on a level surface at a constant speed of 4.0 m/s. The ball rolls up a 40- ramp and eventually stops before rolling back down. (the moment of inertia of a hollow ball of mass M and radius RisMR2) Find: (a) the angular (rotational) speed of the ball (in rad/sec) just before it begins to move up the ramp: (b) the rotational kinetic...
Problem #2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without slipping on a level surface at a constant speed of 4.0 m/s. The ball rolls up a 40° ramp and eventually stops before rolling back down. (the moment of inertia of a hollow ball of mass M and radius R is MR2) Find: (a) the angular (rotational) speed of the ball (in rad/sec) just before it begins to move up the ramp; (b) the...
Group Activity: Ball rolling down ramp and off cliff As shown in the figure below, a hollow ball with a mass m 5.00 kg and radius r -30.0cm starts from rest and rolls a distance of 1.2 m down a 30° ramp, before reaching a flat section at the bottom of the ramp. The ball then rolls along the flat section for 1.0 m before rolling off a 2.5 m-high cliff. The ball lands a distance d from the bottom...
A spherical bowling ball with mass m = 4 kg and radius R = 0.114
m is thrown down the lane with an initial speed of v = 8.7 m/s. The
coefficient of kinetic friction between the sliding ball and the
ground is ? = 0.32. Once the ball begins to roll without slipping
it moves with a constant velocity down the lane.
1)
What is the magnitude of the angular acceleration of the bowling
ball as it slides down...
After you pick up a spare, your bowling ball rolls without slipping back toward the ball rack with a linear speed of V = 3.32 m/s, as shown in the figure below. VE? To reach the rack, the ball rolls up a ramp that rises through a vertical distance of h = 0.563 m. What is the linear speed of the ball when it reaches the top of the ramp?
1) You roll a ball up a ramp of length L and measure the amount of time for the ball to reach the top of the ramp to be At. Determine the magnitude of the acceleration of the ball in terms of the variables L and At only. (The symbolic answer for the magnitude of the acceleration will not contain the initial speed or the angle of incline.) For the physical representation (part 2a), draw a motion diagram and graphs...
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