A gas expands isothermally from state A to state B , in the process absorbing 35 J of heat. It’s then compressed isobarically to state C , where its volume equals that of state A . During the compression. 22 J of work are done on the gas. The gas is then heated at constant volume until it returns to state A . (a) Draw a pV diagram for this process, (b) How much work is done on or by the gas during the complete cycle? (c) How much heat is transferred to or from the gas as it goes from B to C to A ?
A gas expands isothermally from state A to state B , in the process absorbing 35 J of heat. It’s then compressed isobarically to state C , where its volume equals that of state A . During the compression. 22 J of work are done on the gas. The gas is then heated at constant volume until it returns to state A . (a) Draw a pV diagram for this process, (b) How much work is done on or by the gas during the complete cycle? (c) How much heat is transferred to or from the gas as it goes from B to C to A ?
A gas expands isothermally from state A to state B, in the process absorbing 35 J of heat. It’s then compressed isobarically to state C, where its volume equals that of state A. During the compression. 22 J of work are done on the gas. The gas is then heated at constant volume until it returns to state A. (a) Draw a pV diagram for this process, (b) How much work is done on or by the gas during the complete cycle? (c) How much heat is transferred to or from the gas as it goes from B to C to A?
Part C
Find the height yi
from which the rock was launched.
Express your answer in meters to three significant figures.
Learning Goal:
To practice Problem-Solving Strategy 4.1 for projectile motion problems.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ.
SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…
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