A small ball is attached to one end of light rope that has a length of 4.0 m. The other end of the rope is attached to the ceiling. The ball is held with the rope horizontal and released from rest. The ball moves in the motion of an arc of the circle. When the ball is at its lowest point, with the rope vertical, the tesion of the rope is 15.5 N. What is the mass of the ball?

A 0.1-kg ball is attached to a string and whirled around in a horizontal circle overhead. The string breaks if the force on it exceeds 60 N.  What is the maximum speed the ball can achieve if the radius is 1 m?

A student of mass M = 98 kg takes a ride in a frictionless loop-the-loop at an amusement park. The radius of the loop-the-loop is R = 24 m. The normal force by the track on the student at the top of the loop-the-loop is N₁ = 944 N. Find the speed of M at the top of the loop-the-loop. m/s Determine the normal force on M by the track at the bottom of the loop-the-loop, assuming the speed at the bottom is the same as at the top. N

A 0.20 kg object attached to the end of a string swings in a vertical circle (radius = 8 cm). At the top of the circle the speed of the object is 4.5 m/s. What is the magnitude of the tension in the string at this position?

A tennis ball connected to a string is spun counterclockwise around in a vertical, circular path at a uniform speed. The ball has a mass m = 0.14 kg and moves at speed v = 2.7 m/s. The circular path has a radius of R = 0.35 m. The ball is at the bottom of the circle as shown.  What is the magnitude of the tension force on the ball at this instant, in Newtons? Use g = 10 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

An 0.55 kg puck slides in a r =20 cm circle on a frictionless table while attached to a hanging cyliner of mass M = 2.50 kg.  What frequency of rotation keeps the cylinder at rest?  Express your answer in Hz (cycles per second).  Hint:  Solve for speed then convert to frequency.  Use g=10N/kg.

A 30 kg child slides down a slide with h = 4.0 m and arrives at the ground with a speed of 6.0 m/s.  The slide forms the arc of a circle with a radius of 21 m with the ground tangent to the bottom of the slide.  Determine the average friction force acting on the child.  Hint: Use h = R(1 - cos(θ)) and s = Rθ where θ is in radians and s = arc length.

A small object with a mass of m = 860 g is whirled at the end of a rope in a vertical circle with a radius of r = 146 cm. When the object is at the location shown - mid-height -, its speed is v = 4.11 m/s. Determine the tension in the rope. Submit Answer Tries 0/10 Calculate the magnitude of the total force acting on the mass at that location. Submit Answer Tries 0/10

A tennis ball connected to a string is spun counterclockwise around in a vertical, circular path at a uniform speed. The ball has a mass m = 0.16 kg and moves at speed v = 2.4 m/s. The circular path has a radius of R = 0.26 m. The ball is at the bottom of the circle as shown.  What is the magnitude of the tension force on the ball at this instant, in Newtons? Use g = 10 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

A small 0.250-kg object is attached to a string (see figure), where it swings in a section of a vertical circle of radius 2.50 m. Find the magnitude of the tension in the string when θ = 28.0°, the speed of the object is 4.50 m/s