62. A contestant in a winter sporting event pushes a 45.0-kg block of ice across a frozen lake as shown below. (a) Calculate the minimumn force F he must exert to get the block moving. (b) What is its acceleration once it starts to move, if that force is maintained? 25°

Learning Goal: To apply the principle of angular impulse and momentum to find final speed and the time to reach a given speed. M B As shown, ball B, having a mass of 10.0 kg, is attached to the end of a rod whose mass can be neglected. Part A - Finding the final speed of the ball If the rod is 0.550 m long and subjected to a torque M = (2.45t² + 4.45) N-m, where t is in seconds, determine the speed of the ball when t= 3.10 s. The ball has a speed of v = 2.80 m/s when t = 0. Express your answer to three significant figures and include the appropriate units.

Problem: A person on a bicycle of mass 85 kg ( including the bicycle) can slow down at velocity of 3.60m/s? safely without skidding when approaching the next stop on the road. a. Draw the free-body diagram, including all the forces that apply to the problem. b. How would the free body diagram look on the person one the bike if the road was inclined uphill at 18 degrees? How would its deceleration change if the road was increased to 18 degrees? c. If the bieyelist elimbs up the hill at a speed of 8.0km/h because of the air resistance. What force would be necessary to climb the hill at the same speed with the same air resistance?

A 5-kg bag is gently pushed off the top of a wall and swings in a vertical plane at the end of a 2.4- m rope which can withstand a maximum tension Fm. For Fm from 40 to 140 N use computational software to determine (a) the difference in elevation h between point A and point B where the rope will break, (b) the distance d from the vertical wall to the point where the bag will strike the floor. -2.4m A 3m B'