m 3m Figure P4.68

A person catches a ball with a mass of 145 g dropped from a height of 60.0 m above his glove. His hand stops the ball in 0.0100 s. What is the force exerted by his glove on the ball? Assume the ball slows down with constant acceleration.

A block of mass M is suspended at rest by two strings attached to walls, as shown in the figure. The left string is horizontal with tension force T2 and and the right string with tension force T, makes an angle e with the horizontal. g is the magnitude of the gravitational acceleration. Which of the following statements is true? Select all apply. T2 M O The net force along the y-component is non-zero. O The acceleration along the x-component is zero. O The net force along the x-component is zero. O The acceleration along the y-component is non-zero. O The acceleration along the y-component is zero. O The acceleration along the x-component is non-zero. O The net force along the y-component is zero. O The net force along the x-component is non-zero.

#2 and 3

Problem 8: Consider a bowling ball of mass M attached to two ropes. One rope is being pulled horizontally. The second rope is tied to the ceiling (see figure) and is at a 45° with respect to the ceiling.The bowling ball is stationary. T, M Please use the interactive area below to draw the Free Body Diagram for the bowling ball. A Add Force O Reset All T1 v 45 vx T1 Ftotal,x: + (pos) Ftotal,y: + (pos)

A semi is traveling down the highway at a velocity of v = 27.5 m/s. The driver observes a wreck ahead, locks his brakes, and begins to slide. The truck has mass m and a coefficient of kinetic friction between the tires and the road of μk = 0.16. Write an expression for the sum of the forces in the x-direction for the truck while braking? Using the results from Part (a), input an expression for the truck's acceleration, at, while breaking? What is the magnitude of the acceleration in m/s2?  How far does the truck travel, d in meters, before stopping?

A box, initially at rest, is pushed up a ramp that makes an angle of 15◦ with the horizontal as shown in the diagram. The magnitude of the pushing force is 8m newtons, where m is the mass of the box in kilograms. The force is in a direction parallel to and up the ramp. The coefficient of sliding friction between the box and the ramp is 0.25. Model the box as a particle and take the magnitude of the acceleration due to gravity to be g = 9.8 m s−2 . Express the four forces in component form in terms of unknown magnitudes where appropriate and find an expression for the resultant force acting on the box. Hence find the magnitude of the acceleration of the box, in m s−2

A 4.9 kg bucket of water is raised from a well by a rope . The acceleration of gravitity is 9.81 m/s2. If the upward acceleration of the bucket is 4.9 m/s2, find the force exerted by the rope on the bucket of water. Answer in units of N