A mass of 0.875 kg, on a frictionless table, is attached to a string which passes through a hole in the table. The hole is at the center of a horizontal circle in which the mass moves with constant speed. The radius of the circle is 0.520 m and the speed of the mass is 17.0 m/s. It is found that drawing the string down through the hole and reducing the radius of the circle to 0.370 m has the effect of multiplying the original tension in the string by 4.63. Compute the total work (in joules) done by the string on the revolving mass during the reduction of the radius.
here angular momentum is conserved
angular momentum = r x p
p = mv
L = mvr
r1*m*v1 = r2*m*v2
v2 = r1*v1/r2
given :
r1 = 0.520 m
v1 = 17 m/s
r2 = 0.370 m
v2 = 23.89 m/s
work = change in kinetic energy
w = KE2 - KE1
w = mv2^2/2 - mv1^2/2
w = 123.25 J
A mass of 0.875 kg, on a frictionless table, is attached to a string which passes...
A mass of .775kg, on a frictionless table, is attached to a strong which passes though a hole in the table. The hole is at the center of a horizontal circle in which the mass moves with constant speed. The radius of the circle is .57 m and the speed of the mass is 15 m/s. It is found that drawing the string down through the hole and reducing the radius of the circle to .33m has the effect of...
A small 0.270-kg object moves on a frictionless horizontal table in a circular path of radius 1.70 m. The angular speed is 9.60 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tolerate a tension of no more than 102 N, what is the...
A small 0.501-kg object moves on a frictionless horizontal table in a circular path of radius 1.16 m. The angular speed is 5.51 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tolerate a tension of no more than 112 N, what is the...
5-3) A small block (mass m) moves in a circle of radius r with tangential speed v. A string attached passes through to frictionless hole in the table at the center of the circle and is attached to a second mass M hanging below the table. Solve M for v in terms of the quantities given as well as any constants 5-3) A small block (mass m) moves in a circle of radius r with tangential speed v. A string...
4. A ball of mass m is on a frictionless table. A string is attached to the ball goes through a hole as shown. A mass M is hung from the string. M If the ball is originally a distance l from the hole, what angular velocity must it be given to the mass m so that the mass M will remain at rest? If the mass M is pulled down so that the ball goes in a circle of...
A small mass m attached to the end of a string revolves in a circle on a frictionless tabletop. The other end of the string passes through a hole in the table (Fig. 8-62). Initially, the mass revolves with a speed vi = 2.4 m/s in a circle of radius ri =0.80 m. The string is then pulled slowly through the hole so that the radius is reduced to r2 0.48 m. What is the speed, 2, of the m...
An air puck of mass 0.23 kg is tied to a string and allowed to revolve in a circle of radius 1.2 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 0.9 kg is tied to it. The suspended mass remains in equilibrium while the puck on the tabletop revolves. a) What is the tension in the string? (b) What is the force...
An air puck of mass 0.18 kg is tied to a string and allowed to revolve in a circle of radius 1.1 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 1.3 kg is tied to it. The suspended mass remains in equilibrium while the puck on the tabletop revolves (a) What is the tension in the string? (6) What is the force...
An air puck of mass 0.200 kg is tied to a string and allowed to revolve in a circle of radius 1.03 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 1.22 kg is tied to it as seen in the figure below. The suspended mass remains in equilibrium while the puck on the tabletop revolves. What is the tension in the string?...
One end of a string is attached to a 4 kg mass undergoing velocity v1 = 5 m/s at a radius of r1 = 500 mm on a frictionless table. The other end of the string passes through a hole in the table. Find the velocity v2 of the mass if the string is slowly (assume vr ~ 0) pulled through the hole until its radius is r2 = 200 mm. 3 ms 500 mm