In Fig. 7-49 a, a 2.0 N force is applied to a 4.0 kg block at a downward angle θ as the block moves rightward through 1.0 m across a frictionless floor. Find an expression for the speed v ƒ of the block at the end of that distance if the block’s initial velocity is(a) 0 and (b) 1.0 m/s to the right. (c) The situation in Fig. 7-49b is similar in that the block is initially moving at 1.0 m/s to the right, but now the 2.0 N force is directed downward to the left. Find an expression for the speed v ƒ of the block at the end of the 1.0 m distance. (d) Graph all three expressions for v f versus downward angle θ for θ = 0° to θ = 90°. Interpret the graphs. Figure 7-49 Problem 72.
In Fig. 7-49 a, a 2.0 N force is applied to a 4.0 kg block at a downward angle θ as the block moves rightward through 1.0 m across a frictionless floor. Find an expression for the speed v ƒ of the block at the end of that distance if the block’s initial velocity is(a) 0 and (b) 1.0 m/s to the right. (c) The situation in Fig. 7-49b is similar in that the block is initially moving at 1.0 m/s to the right, but now the 2.0 N force is directed downward to the left. Find an expression for the speed v ƒ of the block at the end of the 1.0 m distance. (d) Graph all three expressions for v f versus downward angle θ for θ = 0° to θ = 90°. Interpret the graphs. Figure 7-49 Problem 72.
In Fig. 7-49a, a 2.0 N force is applied to a 4.0 kg block at a downward angle θ as the block moves rightward through 1.0 m across a frictionless floor. Find an expression for the speed vƒ of the block at the end of that distance if the block’s initial velocity is(a) 0 and (b) 1.0 m/s to the right. (c) The situation in Fig. 7-49b is similar in that the block is initially moving at 1.0 m/s to the right, but now the 2.0 N force is directed downward to the left. Find an expression for the speed vƒ of the block at the end of the 1.0 m distance. (d) Graph all three expressions for vf versus downward angle θ for θ = 0° to θ = 90°. Interpret the graphs.
A luggage handler pulls a 15 kg suitcase up a ramp inclined at an angle 33⁰ above the horizontal by a horizontal force F of magnitude 180 N. The coefficient of kinetic friction between the ramp and the suitcase is 0.35. If the suitcase travels 1.6 m along the ramp, calculate (e) If the package started from rest, what is its speed after it has travelled 1.6 m?
A 60.0 kg skier with an initial speed of 12.5 m/s coasts up a 2.50 m high rise as shown in the figure.
Find her final speed right at the top, in meters per second, given that the coefficient of friction between her skis and the snow is 0.31.
If the skier coasts up the hill, what is his speed (in m/s) when he reaches the top plateau? Assume friction between the snow and skis is negligible.
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