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Mass mA rests on a smooth horizontal surface, mB hangs vertically.
a)If mA=12.0 kg and mB=3.0 kg in the figure (Figure 1), determine the magnitude of the acceleration of each block.?
b)If initially mA is at rest 1.300 m from the edge of the table, how long does it take to reach the edge of the table if the system is allowed to move freely?
c)If mB=1.0kg, how large must mA be if the acceleration of the system is to be kept at 1100g?
Two massless strings connect a sphere of mass 9.76kg to a vertical pole where d=1.17m and l=2.33m.The spheres revolves in a horizontal circle at a constant speed of 9.33 m/s (without the wires wrapping around the pole). Determine the magnitudes of the tension in each string.
A 70 kg
kg petty thief wants to escape from a third-story jail window. Unfortunately, a makeshift rope made of sheets tied together can support a mass of only 64 kg
kg
Give a quantitative answer.?
Two rock climbers, Bill and Karen, use safety ropes of similar length. Karen's rope is more elastic, called a dynamic rope by climbers. Bill has a static rope, not recommended for safety purposes in pro climbing.
a)Karen falls freely about 2.1 m
m and then the rope stops her over a distance of 1.1 m
m . Estimate how large a force (assume constant) she will feel from the rope. (Express the result in multiples of her weight.)
b)In a similar fall, Bill's rope stretches by only 45 cm
cm . How many times his weight will the rope pull on him?
c)Which climber is more likely to be hurt?
A 1.95m long wire having a mass of 0.100kg is at both ends.The tension in the wire is maintained at 21.0N.
(a).What are the frequencies of the first three allowed modes of vibration?
What is thermodynamic process
A certain aluminum alloy has a coefficient of linear expansion of 2.4×10^5. A container made of this alloy has an internal volume of 2.000L and a depth of 17.5cm. It is filled to the top with gasoline,which has an average coefficient of volume expansion of 9.60×10^-4 °C^-1. Initially the temperature is 21.0°C,and the entire system is slowly warmed until both the cylinder and gasoline are at 89.0°C.
(a).How much gasoline flows(enter your answer in cm^3).
(b).What is the volume (in cm^3)of gasoline remaining in the cylinder at 89.0°C?.(Give your answer to at least four significant figures).
(c).If the combination with this amount of gasoline is then cooled back to 21.0°C,how far below the cylinder's rim (in cm) does the gasoline's surface recede?
Deduce the dimension of the following:
1.work
2.momentum
3.power
4.frequency
A 36.0g ice cube floats in 240g of water in a 100g copper cup,all are at a temperature of 0°C.A piece of lead at 99.0°C is dropped into the cup,and the final equilibrium temperature is 12.0°C.What is the mass of the lead?.(The heat of fusion and specific heat of water are 3.33×10^5 J/kg and 4,186 J/kg.°C, respectively.The specific heat of lead and copper are 128 J/kg.°C and 387 J/kg.°C).
A rectangular block of ice with dimensions 2 m by 2 m by 0.3 m floats on water. A person weighing 835 N wants to stand on the ice. Would the ice sink below the surface of the water?
