A cyclist in a race must climb a 5° hill at a speed of 8 m/s. If the mass of the bike and the biker together is 80 kg, what must be the power output of the biker to achieve the goal?
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- A cyclist in a race must climb a 5° hill at a constant speed of 8 m/s. The mass of the cycle and the cyclist together is 68 kg. The total frictional force acting on the cycle is 18 N. What must be the power output in Watts of the cyclist to achieve the goal?A cat's crinkle ball toy of mass 28 g is thrown straight up with an initial speed of 5 m/s. Assume in this problem that air drag is negligible. (a) What is the kinetic energy of the ball (in J) as it leaves the hand? (b) How much work is done (in J) by the gravitational force during the ball's rise to its peak? (c) What is the change in the gravitational potential energy of the ball (in J) during the rise to its peak? (d) If the gravitational potential energy is taken to be zero at the point where it leaves your hand, what is the gravitational potential energy (in J) when it reaches the maximum height? (e) If the gravitational potential energy is taken to be zero at the maximum height the ball reaches, what would the gravitational potential energy (in J) be when it leaves the hand? (f) What is the maximum height the ball reaches (in m)? mA cat's crinkle ball toy of mass 15 g is thrown straight up with an initial speed of 3 m/s. Assume in this problem that air drag is negligible. (a) What is the kinetic energy of the ball as it leaves the hand? (b) How much work is done by the gravitational force during the ball's rise to its peak? (c) What is the change in the gravitational potential energy of the ball during the rise to its peak?
- What average mechanical power (in W) must a 60.0 kg mountain climber generate to climb to the summit of a hill of height 365 m in 49.0 min? Note: Due to inefficiencies in converting chemical energy to mechanical energy, the amount calculated here is only a fraction of the power that must be produced by the climber's body. HINTThe drawing shows two resting boxes on two ramps sin friction. One box is much heavier than the other. If the boxes come loose. Questions: (A) Which of them will have a greater speed when reaching point B? (B) which of them will it have a higher kinetic energy when it reaches point B? Problems: The mass of the boxes is 11 and 44 kg respectively. Height in point A is 4.5 m and the height at point B is 1.5 m. Determine (a) the speed of both boxes (b) The ratio of the kinetic energy of the box plus heavy compared to the lightest.What average mechanical power (in W) must a 61.5 kg mountain climber generate to climb to the summit of a hill of height 405 m in 46.0 min? Note: Due to inefficiencies in converting chemical energy to mechanical energy, the amount calculated here is only a fraction of the power that must be produced by the climber's body.