In time dt. (Since Fr is constant, it follows from this that Dun TuIIS wh the incline if the ball...
in time dt. (Since Fr is constant, it follows from this that Dun TuIIS wh the incline if the ball rolls from rest a distance D down the incline, the ball's change in rotational energy, and thus its final rotational energy is uoD, as claimed in equation C11.20.) C11 Rich Context CI1R.1 Suppose you are replacing a tire on your old clunker of a car on a steep hill in San Francisco, and somehow yo spare tire gets away and rolls down the hill. (a) Spare tires in older cars often amounted to being sim- ur ply a replacement wheel, with a full-sized steel inner wheel (or "rim") about two-thirds the radius of the whole surrounded by a normally inflated rubber tire of roughly the same mass. The rim itself is like a hoop surrounding a disk. Roughly estimate the spare tire's moment of inertia, and explain your reasoning (b) If the hill has an incline angle of 14, about how fast is the tire moving when it reaches the intersection 85 m away (as measured down the slope)? (c) Will this tire likely represent a hazard to pedestrians? Support your conclusion with some quantitative esti- mates and comparisons. C11R.2 Two kids enter unpowered homemade carts in a soapbox derby race. The two carts have the same total
in time dt. (Since Fr is constant, it follows from this that Dun TuIIS wh the incline if the ball rolls from rest a distance D down the incline, the ball's change in rotational energy, and thus its final rotational energy is uoD, as claimed in equation C11.20.) C11 Rich Context CI1R.1 Suppose you are replacing a tire on your old clunker of a car on a steep hill in San Francisco, and somehow yo spare tire gets away and rolls down the hill. (a) Spare tires in older cars often amounted to being sim- ur ply a replacement wheel, with a full-sized steel inner wheel (or "rim") about two-thirds the radius of the whole surrounded by a normally inflated rubber tire of roughly the same mass. The rim itself is like a hoop surrounding a disk. Roughly estimate the spare tire's moment of inertia, and explain your reasoning (b) If the hill has an incline angle of 14, about how fast is the tire moving when it reaches the intersection 85 m away (as measured down the slope)? (c) Will this tire likely represent a hazard to pedestrians? Support your conclusion with some quantitative esti- mates and comparisons. C11R.2 Two kids enter unpowered homemade carts in a soapbox derby race. The two carts have the same total