7. Conceptual question: A block is given an initial push and is sent up an incline płane as shown. You time the trip up to its maximum point up the plane, and again time the trip down the plane (on its way back). To your surprise, the time "down" is longer than the time "up". Explain: Note that the plane has friction. What would you expect if the plane was frictionless?
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- 5. A top WNBA player can jump about .7 meters off the ground. If her mass is 50 kg, what force must she exert against the ground? Assume she crouches a distance of .2 metes prior to jumping, and thus the upward force has this distance to act before leaving the ground. 6. A block is given an initial speed of 4 meters per second up the 0 = 22° plane shown below. Ignoring friction, %3D (a) how far up the plane will it go? (b) How much time elapses before it returns to its starting point? R 4m/s s 22°6. Two packages that start sliding down a 20° ramp from rest a distance d = 4.30 m. For package A: Ma = 5.00 kg and ukA = 0.30. %3D For package B: mB = 7.00 kg and ukB = 0.20. Find the speed of both packages when they reach the bottom. 20°4. Here we prove a version of the work-kinetic energy theorem for an object moving in 1-D subject to a constant force. Consider a mass m, traveling initially at speed v, on which a constant net force F is applied in the same direction as its motion over a distance d. After the net force has acted over this distance, the speed of the object is v2. In terms of m, F, v1, v2, and d only, V, A) What is the acceleration of the mass? t=0 m F d t>0_m B) What is the time over which the mass travels the V, distance d? [Use one equation of constant acceleration to find this.] C) Use another equation of constant acceleration to relate m, F, v,, v2, and d. Show that the product W = Fd is equal to the change in the mass’s kinetic energy.
- m = 325 kg h1 = 19.5 m h2 = 4.7 m A roller coaster car of mass m is rolling down the track, starting from rest, as shown in the figure. The initial height from the ground is h1 (Position-1), while the final height is h2 (Position-3). The system has no friction. What is the speed of the car when it reaches its final height (Position-3).Common speech often uses the term "work" to refer to situations where, according to the physics definition of work, there is no actual work done. Find an example of this and explain why the non-physics public considers this work and what a proper physics response would be to this error. You must use ordinary language in an attempt to clarify what is happening do not rely on trigonometry or scalar dot products in you answer . Some examples you could consider include a person pushing on a wall and the wall not moving, a person doing a "bench seatisometric exercise where they squat against a wall, the moon being pulled by gravity as it orbits the earth, etc.pervious question: Same type of track as in the previous problem, this time with d = 4.73 m. The block starts at x = 0, and is given a push to the left with an initial speed of 7.57 m/s, so it starts sliding up the track to the left. At what value of x will the block reverse direction and start sliding back down? New question: OK, same sort of track, but now with d = 2.12 m. Now suppose the blocks starts on the track at x = 4.10 m. The block is given a push to the left and begins to slide up the track, eventually reaching its maximum height at x = 0, at which point it turns around and begins sliding down. What was its initial speed in this case? 18.98 m/s 12.47 m/s 8.82 m/s 14.90 m/s
- A student releases a 3.9kg cart from the top of ramp and starts a stopwatch. The length from the front of the cart to the end of the ramp and the distance from the end of the ramp to the stopper are shown. Neglect backwards friction and drag and assume the cart does not lose speed transitioning from the ramp to the floor. What is the cart's acceleration on the ramp? unit | (magnitude) What is the cart's acceleration on the floor? 130cm unit (magnitude) How long does the cart take to reach the end of the ramp? 5° 200cm unit (timed from the release) How fast is the cart traveling as it hits the stopper? unit How long does the cart take to reach the stopper? unit (timed from the release) cannot be detern check answers challenge ne Calculator ound = 343m/s cant figures Rain to stop e here to search ACC t;320A box sits on the horizontal bed of a truck that is accelerating to the left, as shown in the diagram. Static friction between the box and the truck keeps the box from sliding around as the truck accelerates. The work done on the box by the static friction force as the accelerating truck moves a distance D to the left is A. Positive B. Zero C. Negative D. Dependent upon the speed of the truckThree forces act at point O as shown. Force F3lies in the x-y plane. Select the expression that denotes a unit vector in the direction of F1 . a. - 1/3 i - 2/3 j - 2/3 kb. - 1/3 i + 2/3 j + 2/3 kc. - 1/3 i + 2/3 j - 2/3 kd. - 1/3 i - 2/3 j + 2/3 k Determine the direction angles (α, B ,y ) for F₂ . a. (103ᵒ , 72.1ᵒ , 22.6ᵒ ) b. (103ᵒ ,108ᵒ , 22.6ᵒ )c. (76.7ᵒ , 72.1ᵒ ,157ᵒ ) d. (103ᵒ , 72.1ᵒ ,157ᵒ ) Determine the angle between F1 and F3 . a. 26.0ᵒ b. 132ᵒc. 90.0ᵒ d. 0