5. You have 6.0 hours to travel a distance of 140 km by bicycle. a. How long will it take you to travel the first half at an average speed of 21 km/h?

b. In the second half of the ride, you need to increase your average speed to make up for lost time. If you can maintain an average speed of 25 km/h, will you be able to reach your destination on time?

c. Show your calculations for the average speed you need to maintain in the second half of the bike ride to make up for lost time.

d. Draw a position-time graph for the bicycle trip. Show your position at 20-minute intervals.

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 710 n/m. it is initially at rest on an inclined plane that is at an angle of θ = 23° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.19. in the initial position, where the spring is compressed by a distance of d = 0.16 m, the mass is at its lowest position and the spring is compressed the maximum amount. take the initial gravitational energy of the block as zero. a) what is the block's initial mechanical energy? b) if the spring pushes the block up the incline, what distance, l, in meters will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.

A2000 kg car is rounding a curve of radius 200 m on a level road. the maximum frictional force the road can exert on the tires of the car is 4000 n. what is the highest speed at which the car can round the curve?

In a set amount of time, a battery supplies 25j of energy to an electric circuit that includes two different loads. one of the loads produces 10 j of heat energy during this time interval. how much heat energy is produced by the second load in this time? explain your answer