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Part (a) Calculate the tension T1, in newtons, on the left side of the rope if the lady is in static equilibrium.
Part (b) Calculate the tension T2, in newtons, on the right side of the rope if the lady is in static equilibrium.
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- speed? 73. Figure P9.73 shows a collision between three balls of clay. The three hit simultaneously and stick together. What are the speed and direction of the resulting blob of clay? 40 g I OJASⓇ FIGURE P9.73 68°F Cloudy 4.0 m/s 3.0 m/s 2.0 m/s 20 g 30 gA porcelain frog dropped from rest breaks into three pieces and scatters along the floor. Immediately after breaking, a 274-g piece moves in the +x-direction at 4.9 m/s and a 250-g piece moves in the +y-direction at 3.8 m/s. The third piece has mass 91 g and moves at an angle measured CCW from the +x-axis. Calculate (as a positive angle). 0 = = °CCW from the +x-axisOn a beautiful baseball day with air temperature of 20° C, a pitcher throws a 0.142 kg baseball at 55 m/s towards home plate. As it travels 19.4 m, the ball slows down to a speed of 40 m/s because of air resistance. Calculate the change in the temperature of the air through which the ball passes. For air M- 28.9 g/mol and C, =7R/2. Hint: Assume the change in temperature happens only for a cylinder of air 19.4 m in length and radius of 3.7 cm. Assume that the energy loss of the ball due to its change in KE and is all absorbed by the air.
- A rocket for use in deep space is to be capable of boosting a total load (payload plus rocket frame and engine) of 3.00 metric tons to a speed of 10 000 m/s. (a) It has an engine and fuel designed to produce an exhaust speed of 2 000 m/s. How much fuel plus oxidizer is required? (b) If a different fuel and engine design could give an exhaust speed of 5 000 m/s, what amount of fuel and oxidizer would be required for the same task? (c) Noting that the exhaust speed in part (b) is 2.50 times higher than that in part (a), explain why the required fuel mass is not simply smaller by a factor of 2.50.A suspicious physics student watches a stunt performed at an ice show. In the stunt, a performer shoots an arrow into a bale of hay (Fig. P11.24). Another performer rides on the bale of hay like a cowboy. After the arrow enters the bale, the balearrow system slides roughly 5 m along the ice. Estimate the initial speed of the arrow. Is there a trick to this stunt? FIGURE P11.24(a) If gold were sold by weight, would you rather buy it in Denver or in Death Valley? (b) If it were sold by mass, in which of the two locations would you prefer to buy it? Why?
- As it plows a parking lot, a snowplow pushes an ever-growing pile of snow in front of it. Suppose a car moving through the air is similarly modeled as a cylinder of area A pushing a growing disk of air in front of it. The originally stationary air is set into motion at the constant speed v of the cylinder as shown in Figure P8.32. In a time interval t, a new disk of air of mass m must be moved a distance v t and hence must be given a kinetic energy 12(m)v2. Using this model, show that the cars power loss owing to air resistance is 12Av3 and that the resistive force acting on the car is 12Av2, where is the density of air. Compare this result with the empirical expression 12DAv2 for the resistive force. Figure P8.32Rank the following quantities of energy from largest to smallest. State if any are equal. (a) the absolute value of the average potential energy of the SunEarth system (b) the average kinetic energy of the Earth in its orbital motion relative to the Sun (c) the absolute value of the total energy of the SunEarth systemb. The drawing shows a sulfur dioxide molecule, SO2. It consists of two oxygen atoms and a sulfur atom. A sulfur atom is twice as massive as an oxygen atom. Using this information and the data provided in the drawing, find the center of mass of the sulfur dioxide molecule. Express your answers in nanometers (1 nm = 10° m). Oxygen Oxygen 60.0° 60.0° 0.143 nm 0.143 nm Sulfur
- Large meteors sometimes strike the Earth, converting most of their kinetic energy into thermal energy. If a 10° kg meteor moving at 25.0 km/s lands in a deep ocean and 80% of its kinetic energy goes into heating water, how many kilograms of water could it raise by 5.0°C? Select the correct answer O 8 × 1012 kg O 5 x 1013 kg O 1x 1013 kg O 4 × 1012 kg|Answer Your O 2 x 1013 kgLarge meteors sometimes strike the Earth, converting most of their kinetic energy into thermal energy. If a 10° kg meteor moving at 25.0 km/s lands in a deep ocean and 80% of its kinetic energy goes into heating water, how many kilograms of water could it raise by 5.0°C? Select the correct answer O 8 x 1012 kg O 5 x 1013 kg O 1 x 1013 kg O 4 x 1012 kg. Your Answer O 2 x 1013 kgFind the force between 2C and -1C separated by a distance 1 m in air. Pick one answer. A. -1.8 X 1010 B. 18 X 1010 C. 1.8 X 1010 D. -18 X 1010