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A body of mass 3kg and volume 4×10^-4m^3 is hung from balance graduated in newtons. What is the reading of the balance when the body is;
a. In air
b. Fully immersed in water
c. ⅓ immersed in water
d. Fully immersed in paraffin.(Density of water is 10^3kgn^-3 and Density of paraffin is 800kgm^-3
. Carnot power cycle operates on 2 lb of air between the limits of 70°F and 500°F. The pressure at the beginning of an isothermal expansion is 400 psia and at the end of an isothermal expansion is 185 psig. Determine the efficiency of the cycle.
A Carnot cycle has a thermal efficiency of 32%. If the work developed is 1000 watt-hour, determine the heat supplied.
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A 1.5-kg
kg block rests on top of a 7.5-kg
kg block. The cord and pulley have negligible mass, and there is no significant friction anywhere.
a)What force F
F must be applied to the bottom block so the top block accelerates to the right at 2.2 m/s
2
m/s2 ?
b)What is the tension in the connecting cord?
A person jumps from the roof of a house 3.9-m
m high. When he strikes the ground below, he bends his knees so that his torso decelerates over an approximate distance of 0.75 m
m .
a)If the mass of his torso (excluding legs) is 45 kg
kg , find his velocity just before his feet strike the ground.
b)If the mass of his torso (excluding legs) is 45 kg
kg , find the magnitude of the average force exerted on his torso by his legs during deceleration.
c)What is the direction of this force? upward or downward
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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?
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 soccer player on a horizontal playground kicks a ball away with a velocity
v0 under an angle α with the playground. The ball can be considered to be a projectile. Air resistance can be neglected and the gravitational acceleration is g. During the trajectory, the ball reaches a maximum height H.Now he kicks a second ball under the same angle but with double velocity. What is the maximum height the second ball will reach?
Find the torque about the origin produced by a constant force of (6i+8j+10k) N on a particle situated at (3i-4k)m?
