A cylinder is rotating about an axis that passes through the center of each circular end piece. The cylinder has a radius of 0.079 m, an angular speed of 72.9 rad/s, and a moment of inertia of 0.629 kg. m2. A brake shoe presses against the surface of the cylinder and applies a tangential frictional force to it. The frictional force reduces the angular speed of the cylinder by a factor of two during a time of 7.42 s. Find the magnitude of the force of friction applied by the brake shoe.

An insurance company wants to know if the average speed at which men drive cars is higher than that of women drivers. the company took a random sample of 27 cars driven by men on a highway and found the mean speed to be 72 miles per hour with a standard deviation of 2.2 miles per hour. another sample of 18 cars driven by women on the same highway gave a mean speed of 68 miles per hour with a standard deviation of 2.5 miles per hour. assume that the speeds at which all men and all women drive cars on this highway are both approximately normally distributed with unknown and unequal population standard deviations.

Three archers each fire four arrows at a target. joe’s four arrows hit at points 10 cm above, 10 cm below, 10 cm to the left, and 10 cm to the right of the center of the target. all four of moe’s arrows hit within 1 cm of a point 20 cm from the center, and flo’s four arrows hit within 1 cm of the center. the contest judge says that one of the archers is precise but not accurate, another archer is accurate but not precise, and the third archer is both accurate and precise. which description applies to which archer? explain

Check the following equation for dimensional homogeneity: ⅆ mv=∫t1t2(f⁢cosθ)ⅆt where m is mass, v is velocity, f is force, θ is an angle, and t is time. check that each term in the equation has the following dimensions: [malbec] where you are to choose the coefficients a, b, c.