A block of mass m=4.29kg is released from rest at an unknown height h. The coefficient of friction between the block and the incline oriented at an angle of 0=34° is U=0.33. Assume the circular part of the track is frictionless and the radius of the track is R=0.71m. Find the minimum height h, for the block to remain in contact with the track at all times, even at the top of the circular loop. Take g =9.81m/s? and express your final result using two decimal places.

A block of mass m=4.29kg is released from rest at an unknown height h. The coefficient of friction between the block and the incline oriented at an angle of 0=34° is U=0.33. Assume the circular part of the track is frictionless and the radius of the track is R=0.71m. Find the minimum height h, for the block to remain in contact with the track at all times, even at the top of the circular loop. Take g =9.81m/s? and express your final result using two decimal places.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.19P

See similar textbooks

Similar questions

A block of mass m is initially at rest at the peak of an inclined plane, which has a height of 6.9 m and makes an angle of θ = 29° with respect to the horizontal. After being released, it is observed to be moving at v = 1 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. Find the distance d, in meters
A block of mass m is initially at rest at the top of an inclined plane, which has a height of 4.8 m and makes an angle of θ = 27° with respect to the horizontal. After being released, it is observed to be traveling at v = 0.65 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. a)What is the speed of the block, in meters per second, just after it leaves the inclined plane? b)Find the distance, d, in meters.
A brick of mass m is initially at rest at the peak of an inclined plane which has a height of 5.52m and has an angle of θ=20.3∘ with respect to the horizontal. After it has been released, it is found to be traveling at v=0.84m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the brick and the plane is μp=0.1, and the coefficient of friction on the horizontal surface is μr=0.2. What is the speed of the brick, in meters per second, just after it leaves the inclined plane? Find the distance, d, in meters.
A box of mass m is initially at rest at the peak of an inclined plane, which has a height of 5.5 m and has an angle of θ = 25° with respect to the horizontal. After being released, it is observed to be moving at v = 0.85 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the box and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. a)What is the speed of the box, in meters per second, just after it leaves the inclined plane?
The potential energy of a system of two particles separated by a distance r is given by U(r) = A/r, where A is a constant. Find the radial force F→r that each particle exerts on the other.
A block of mass m is initially at rest at the top of an inclined plane which has a height of 6.18m and makes an angle of θ=25.2∘ with respect to the horizontal. After being released, it is observed to be traveling at v=0.14m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the block and the plane is μp=0.1, and the coefficient of friction on the horizontal surface is μr=0.2. Find the distance, d, in meters.
a block of mass m is initially at rest at the highest point of an inclined plane, which has a height of 6.8 m and has an angle of 0=16 degrees with respect to the horizontal. After it has been released, you perceived it to be moving at v=0.55 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane i sup=0.1 and the coefficient of friction on the horizontal surface its ur=0.2. a)what is the speed of the block, in meters per second, just after it leaves the inclined plane? b)Find the distance, d, in meters.
In the figure, a block of mass m is moving along the horizontal frictionless surface with a speed of 10 m/s. If the slope is 37° and the coefficient of kinetic friction between the block and the incline is 02 how far (D) does the block travel up the incline?
How much gravitational potential energy (relative to the ground on which it is built) is stored in an Egyptian pyramid, given its mass is about 9 ✕ 109 kg and its center of mass is 43.0 m above the surrounding ground? What is the ratio of this energy to the daily food intake of a person (1.2 ✕ 107 J)? :1
A motorcycle daredevil plans to ride up a 2.0-mm-high, 20∘∘ ramp, sail across a 10-mm-wide pool filled with hungry crocodiles, and land at ground level on the other side. He has done this stunt many times and approaches it with confidence. Unfortunately, the motorcycle engine dies just as he starts up the ramp. He is going 10.4 m/sm/s at that instant, and the rolling friction of his rubber tires (coefficient 0.02) is not negligible. Justify your answer by calculating the distance he travels through the air after leaving the end of the ramp. x =
How much gravitational potential energy (in J) (relative to the ground on which it is built) is stored in an Egyptian pyramid, given its mass is about 8 ✕ 109 kg and its center of mass is 37.0 mabove the surrounding ground? J (b) What is the ratio of this energy to the daily food intake of a person (1.2 ✕ 107 J)?
A boy is initially seated on the top of a hemispherical ice mound of radius R 13.8 m. He begins to slide down the ice, with a negligible initial speed Approximate the ice as being frictionless. At what height does the boy lose contact with the ice?