Consider the father pushing a playground merry-go-round. He exerts a force of 250 N at the edge of the 50.0-kg merry-go-round, which has a 1.50-m radius. Calculate the angular acceleration produced (a) when no one is on the merry-go-round and (b) when an 18.0-kg child sits 1.25 m away from the center. Consider the merry-go- round itself to be a uniform disk with negligible friction.
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- Repeat the preceding problem, but including a drag force due to air of fdrag=bv .A fullback is running a sweep around the left side of the line. As he rounds the turn, he is momentarily moving in circular motion, sweeping out a quarter-circle with a radius of 4.17 meters. If the 83.5-kg fullback makes the turn with a speed of 5.21 m/s, then what is his acceleration, the net force, the angle of lean (measured to the vertical), and the total contact force with the ground? PSYW a = ____________ Fnet = ____________ Fgrav = ____________ Fnorm = ____________ Ffrict = ____________ Fcontact = ____________ Angle of Lean = ____________A 0.275-kg object is swung in avertical circular path on a string 0.850 mlong as in Figure P7.70. (a) What arethe forces acting on the ball at any pointalong this path? (b) Draw free-body diagramsfor the ball when it is at the bottomof the circle and when it is at thetop. (c) If its speed is 5.20 m/s at the topof the circle, what is the tension in thestring there? (d) If the string breaks when its tension exceeds22.5 N, what is the maximum speed the object can have at thebottom before the string breaks?
- Ima Peode wishes to throw a 2.8-kg pumpkin horizontally off the top of the school roof in order to hit Mr. H's car. The car is parked a distance of 13.4 m away from the base of the building below the point where Ima is standing. The building's roof is 10.4 m high. Assuming no air resistance, with what horizontal speed must Ima toss the pumpkin in order to hit Mr. H's car.A race car travels 76 m/s around a circulartrack of radius 159 m What is the magnitude of the resultantforce on the 1600 kg driver and his car ifthe car does not slip?Answer in units of kN.Disturbed by speeding cars outside his workplace, Nobel laureate Arthur Holly Compton designed a speed bump (called the "Holly hump") and had it Installed. Suppose a 1800-kg car passes over a hump In a roadway that follows the arc of a cirde of radlus 20.0 m as in the figure below. (a) If the car travels at 29.4 km/h what force does the road exert on the car as the car passes the highest point of the hump? magnitude direction (b) What is the maximum speed the car can have without losing contact with the road as it passes this highest point? km/h
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