In Teenage Mutant Ninja Turtles II: The Secret of the Ooze, Michelangelo uses a 0.331 kg yo-yo as a weapon, whirling it in a 1.98 m diameter circle in 0.698 seconds. If the tension in the yo-yo's string is the only notable force pulling it inward, what must be the tension (in N) in the string? I

Banked curves are designed so that the radial component of the normal force on the car rounding the curve provides the centripetal force required to execute uniform circular motion and safely negotiate the curve. A car rounds a banked curve with banking angle = 22.0 and radius of curvature 150 m. a. If the coefficient of static friction between the cars tires and the road is s = 0.400, what is the range of speeds for which the car can safely negotiate the turn without slipping? b. What is the minimum value of s for which the cars minimum safe speed is zero? Note that friction points up the incline here.

. A meter rule is anchored at the point O and is free to rotate about an axis passing through O and perpendicular to the plane of the meter rule. Forces F₁, F2, F3, F4 and F5 of equal magnitudes act on the ruler at different locations. The magnitude of each force is 25.0 N and 0 =30°. The distances along the ruler are given in cm. Assume all quantities are correct to 3 significant figures. O F₁ F4 ס 30 0 2 F5 (b) Between For which force redeces a larger torque? F₂ (a) Determine whether each force can or cannot rotate the ruler and select the correct rationale for your answer. F₁ F₂ F₂ TFA = 60 Help: When using the formula for torque, the angle is between the tails of which two vectors? Draw a diagram showing the vectors 7 and ₹ to figure out the angle to be used in the calculations of torque. Enter to 3 significant figures TF3 (c) Calculate the torques produced by F3 and F4, including the sign of the torque indicating the sense of rotation, positive for counter-clockwise rotation and…

A block is hung by a string from the inside roof of a van. When the van goes straight ahead at a speed of 18.4 m/s, the block hangs vertically down. But when the van maintains this same speed around an unbanked curve (radius = 97.0 m), the block swings toward the outside of the curve. Then the string makes an angle 8 with the vertical. Find 0. Number i Units To center of curve