A 0.200 kg ball starting from rest rolls down an inclined plane with θ=30°. a)Find the...

A 0.200 kg ball starting from rest rolls down an inclined plane with θ=30°.

a)Find the acceleration of the ball, and the magnitude of normal force exerted by the plane.

b) If it starts from rest a height h = 30.0 cm above its position at the bottom of the incline (measured between the center of the ball at each position), what is the speed of the ball vf at that bottom point, and how long did it take to get there?

Expert Solution

genius_generous answered 2 years ago

A 3.4- cm-radius ball rolls down an inclined plane from rest at the top. The angular...

A 3.4- cm-radius ball rolls down an inclined plane from rest at the top. The angular acceleration of the rolling ball about its center is 275 rad/s2, and its angular speed at the bottom is 58.4 rad/s. How long is the plane?

A 4.3- cm-radius ball rolls down an inclined plane from rest at the top. The angular...

A 4.3- cm-radius ball rolls down an inclined plane from rest at the top. The angular acceleration of the rolling ball about its center is 245 rad/s2, and its angular speed at the bottom is 44.4 rad/s. How long is the plane?

8. A cart slides down an inclined plane with the angle of the incline θ starting...

8. A cart slides down an inclined plane with the angle of the incline θ starting from rest. At the moment the cart begins to move, a ball is launched from the cart perpendicularly to the incline. (a) Choosing an x-y-coordinate system with the x-axis along the incline and the origin at the initial location of the cart, derive the equation of the trajectory that the ball assumes from the perspective of this coordinate system. (b) Determine where the maximum...

1. Starting from rest, a 20 kg wheel rolls down a hill of height 6 m....

1. Starting from rest, a 20 kg wheel rolls down a hill of height 6 m. At the bottom of the hill 360 J of of energy is in its rotation. What is the speed of the wheel's center of mass? 6 m/s 8 m/s 10 m/s 9 m/s 4 m/s 2. If each of the following objects are rotating with the same angular velocity, ?, which would be the hardest to stop? (i.e., require the largest amount of work)....

A ball rolls down a hill from rest and collides with a block on wheels at...

A ball rolls down a hill from rest and collides with a block on wheels at the bottom. The block has a mass which is 4 times larger than the mass of the ball. Calculate the direction and velocity of the block and ball after the collision, if they were (a) elastic, or (b) perfectly inelastic. Please show the answers in terms of g and h. (c) how much of the kinetic energy is lost in the elastic collision of...

A, A thin cylindrical shell is released from rest and rolls without slipping down an inclined...

A, A thin cylindrical shell is released from rest and rolls without slipping down an inclined ramp, a distance s, that makes an angle of θ with the horizontal. If the coefficient of friction is µK, what is the speed at the bottom of the ramp? 2, A force P pushes a block at an angle 30° from the vertical across the ceiling. There is a coefficient of kinetic friction, µk. What is the acceleration?

A hollow ball and a solid sphere are released from rest and roll down an inclined...

A hollow ball and a solid sphere are released from rest and roll down an inclined plane. Both have a mass of 1 kg, a radius of 5 cm, and experience a torque of 0.01 N m. Assume both balls roll without slipping. What is the difference in their linear velocities after the balls have both lost 4 m of elevation? I’d like you to use energy to solve this problem.

A uniform marble rolls down a symmetric bowl, starting from rest at the top of the...

A uniform marble rolls down a symmetric bowl, starting from rest at the top of the left side. The top of each side is a distance h above the bottom of the bowl. (a) How far up the right side of the bowl will the marble go if the interior surface of the bowl is rough so that the marble rolls without slipping? (b) How high would the marble go if the bowl's surface were frictionless? (c) For which case...

A ball of clay with a mass of 4.0 kg, starting from rest, falls from a...

A ball of clay with a mass of 4.0 kg, starting from rest, falls from a height of 0.20 m above a block with mass 1.0 kg that rests on top of a spring with spring constant 90 N/m. The block then sticks to the block and the system undergoes simple harmonic motion. Please submit your answers to the following questions on a separate sheet of paper (or multiple sheets of paper). i. Write the formulas for the position, velocity,...

A block of mass m1 = 3.54 kg on a frictionless plane inclined at angle θ...

A block of mass m1 = 3.54 kg on a frictionless plane inclined at angle θ = 26.5° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.41 kg hanging vertically (see the figure). (a) What is the acceleration of the hanging block (choose the positive direction down)? (b) What is the tension in the cord?

Question