Q.4. (a) Force F = (3ײN)i + (4N)j, with x in meters, acts on a particle, changing only the kinetic energy of the particle. How much work is done on the particle as it moves from coordinates (2 m, 3 m) to (3 m, 0 m)? (b) Does the speed of the particle increase, decrease, or remain the same?
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- A physicist has been studying the effects of an unknown force. The work required to move an object distance x against this force is W = A +b/x, where A and b are constants. What are the Sl units of b? O kg/s? kg · m/s? kg · m? /s? kg · m³ / s? kg m4 /s? none of theseSuppose a car travels 108 km at a speed of 20.0 m/s, and uses 1.80 gallons of gasoline. Only 30% of the gasoline goes into useful work by the force that keeps the car moving at constant speed despite friction. (The energy content of gasoline is 1.3 x 108 J per gallon.) (a) What is the force exerted to keep the car moving at constant speed? N (b) If the required force is directly proportional to speed, how many gallons will be used to drive 108 km at a speed of 28.0 m/s? gallons Additional Materials O ReadingA 250 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 2.5 N/cm (see the figure). The block becomes attached to the spring and compresses the spring 17 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by (a) the gravitational force on it and (b) the spring force? (c) What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) (d) If the speed at impact is doubled, what is the maximum compression of the spring? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units > www.
- A 230 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 1.3 N/cm (see the figure). The block becomes attached to the spring and compresses the spring 14 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by (a) the gravitational force on it and (b) the spring force? (c) What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) (d) If the speed at impact is doubled, what is the maximum compression of the spring? (a) Number (b) Number (d) Number 3155 - 1.274 (c) Number 2.88 9 Units Units Units J J m/s Units m/sA crane slowly lifts a 263 - kg crate a vertical distance of H = 13.0 m. mg crane F crane (a) How much work does the crane do on the crate? Enter to 3 significant figures W H 0 33,500 (b) How much work does the gravity do on the crate? Enter to 3 significant figures X√J XVI W gravity (c) What is the total work done on the crate? Enter to 3 significant figures ✓J W total = -33,500A helicopter lifts a 85 kg astronaut 13 m vertically from the ocean by means of a cable. The acceleration of the astronaut is g/10. How much work is done on the astronaut by (a) the force from the helicopter and (b) the gravitational force on her? Just before she reaches the helicopter, what are her (c) kinetic energy and (d) speed?
- A bicyclist starting from rest applies a force of F = 239 N to ride his bicycle across flat ground for a distance of d = 210 m before encountering a hill making an angle of θ = 17 degrees with respect to the horizontal. The bicycle and rider have a mass of m = 120 kg combined. In this problem, you can ignore air resistance and other losses due to friction.How much work, W in joules, did the rider do before reaching the hill? What is the bicycle's speed, v in m/s, just before the hill? If the cyclist starts coasting at the bottom of the hill, what distance, di in meters, does the bike travel up the incline?Ex(N) 80 50 25 X(m) 10 25 40 50 58 1) Work by a force, drawn on a graph, determine: a) The total work done by the force. b) Work at (10sx<40) m?A block of mass m is dropped onto a relaxed vertical spring with spring constant k (see the figure). The block becomes attached to the spring and compresses the spring a distance d before momentarily stopping. Assuming that friction is negligible, while the spring is being compressed, what work is done on the block by (a) the gravitational force on it? W = mg d (b) the spring force? W = 1 k d² 2 (c) What is the speed of the block just before it hits the spring? v = 2gd- k d² ✓ m | NOTE: State your answers in terms of the given variables and g.
- On a horizontal surface, an object slides from point P to point Q along a straight line, then slides back from Q to P along a semicircle. If P and Q are a distance L apart, how much work did the force of kinetic friction do during the entire process? The magnitude of fk is fk.A 0.59-kg particle has a speed of 5.0 m/s at point A and kinetic energy of 8.5 J at point B. (a) What is its kinetic energy at A? J(b) What is its speed at point B? m/s(c) What is the total work done on the particle as it moves from A to B? JProblem 6: Two forces act on an object. F₁ = (10î – 7ĵ) N and F₂ = −15î N. = The object travels from ₁ = +4 m, both on the x axis. -4 m to ₂: = a) What is the work done by F₁? b) What is the work done by F₂? c) What is the net work done? Problem 7: A strap on a suitcase is angled at 25° above horizontal and is used to pull the suitcase a distance of 250 m through an airport. The weight of the suitcase is 50 N. The resistive force of friction on the suitcase is 14 N. The strap applies 20 N of force to the suitcase. a) How much work does gravity do on the suitcase? b) How much work is done on the suitcase by the strap? c) How much work does friction do on the suitcase? d) The suitcase began at rest, how fast is it moving after traveling this distance? Problem 8: A block of mass m = 500 g slides down an incline that has an inclination angle of 30° with the horizontal. The inclined surface has coefficient of kinetic friction µK = 0.4. The block moves 3 m down the incline. a) How much work…