(a) A block with a mass m is pulled along a horizontal surface for a distance x by a constant force F → at an angle θ with respect to the horizontal. The coefficient of kinetic friction between block and table is μ k the force exerted by friction equal to μ k mg ? If not, what is the force exerted by friction? (b) How much work is done by the friction force and by F → ? (Don’t forget the signs.) (c) Identify all the forces that do no work on the block, (d) Let m = 2.00 kg, x = 4.00 m, θ = 37.0°, F = 15.0 N, and μ k = 0.400, and find I the answers to parts (a) and (b). Figure P5.39
(a) A block with a mass m is pulled along a horizontal surface for a distance x by a constant force F → at an angle θ with respect to the horizontal. The coefficient of kinetic friction between block and table is μ k the force exerted by friction equal to μ k mg ? If not, what is the force exerted by friction? (b) How much work is done by the friction force and by F → ? (Don’t forget the signs.) (c) Identify all the forces that do no work on the block, (d) Let m = 2.00 kg, x = 4.00 m, θ = 37.0°, F = 15.0 N, and μ k = 0.400, and find I the answers to parts (a) and (b). Figure P5.39
Solution Summary: The author explains the force exerted by friction and the work done by applied force.
(a) A block with a mass m is pulled along a horizontal surface for a distance x by a constant force
F
→
at an angle θ with respect to the horizontal. The coefficient of kinetic friction between block and table is μk the force exerted by friction equal to μkmg? If not, what is the force exerted by friction? (b) How much work is done by the friction force and by
F
→
? (Don’t forget the signs.) (c) Identify all the forces that do no work on the block, (d) Let m = 2.00 kg, x = 4.00 m, θ = 37.0°, F= 15.0 N, and μk = 0.400, and find I the answers to parts (a) and (b).
Figure P5.39
Definition Definition Force that opposes motion when the surface of one item rubs against the surface of another. The unit of force of friction is same as the unit of force.
Taking a Hike
A hiker begins a trip by first walking 21.0 km southeast from her car. She stops and sets up her tent for the night. On the second day, she walks 46.0 km in a direction 60.0° north of east, at which point she discovers a forest ranger's tower.
y (km)
Can
N
W-DE
45.0°
60.0°
Tent
Tower
B
x (km)
☹
(a) Determine the components of the hiker's displacement for each day.
SOLUTION
Conceptualize We conceptualize the problem by drawing a sketch as in the figure. If we denote the displacement vectors on the first and second days by A and B, respectively, and use the ---Select-- as the origin of coordinates, we obtain the vectors shown in the figure. The sketch allows us to estimate the resultant vector as shown.
Categorize Drawing the resultant R, we can now categorize this problem as one we've solved before: --Select-- of two vectors. You should now have a hint of the power of categorization in that many new problems are very similar to problems we have already solved if we are…
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You want to determine if a new material created for solar panels increases the amount of energy that can be captured . You have acquired 15 panels of different sizes manufactured with different materials including the new material.You decide to set up an experiment to solve this problem .What do you think are the 3 most important variables to address in your experience? How would you incorporate those materials in your experiment?
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