A baseball of mass 0.25 kg is hit at home plate with a speed of 40 m/s. When it lands in a seat in the left- field bleachers a horizontal distance 120 m from home plate, it is moving at 30 m/s. If the ball lands 20 m above the spot where it was hit, how much work is done on it by air resistance?
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- A golfer hit a 40.92 gram golf ball from the fairway giving it an initial velocity of 36.5 m/s. It lands on the green, which is at the same elevation as the fairway, and strikes the ground with a final velocity of 18.9 m/s. What is the work (in J) done on the ball by the non-conservative friction forces [round your final answer to one decimal place]?Consider a cannon-ball of mass 8 kg fired vertically up from the ground with an initial speed of 120 m/s. We ignore the effects of air resistance. (a) Consider the downward trip. Find the work done by gravity when the cannon-ball drops from its highest point to halfway between the ground and the highest point. Hence, find the kinetic energy of the cannon-ball when it drops to the halfway point. (b) Mark a list that gives the kinetic energy, potential energy and the total mechanical energy at four points during the trip: when the cannon-ball (i) just leaves the cannon, (ii) reaches its highest point, (iii) is half-way in the downward trip, and (iv) is going to hit the ground.You drop a 1.50 kg book to a friend who stands on the ground at distance D= 12.0 m below. If your friend's outstretched hands are at distance d = 1.30 mabove the ground (see the figure), (a) how much work W, does the gravitational force do on the book as it drops to her hands? (b) What is the change AU in the gravitational potential energy of the book-Earth system during the drop? If the gravitational potential energy Uof that system is taken to be zero at ground level, what is U (c) when the book is released and (d) when it reaches her hands? Now take U to be 100 J at ground level and again find (e) W, (f)AU. (g) U at the release point, and (h) U at her hands. (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units (f) Number Units (g) Number Units (h) Number Units >
- (a) A helicopter lifts a 72 kg astronaut 15 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 heli- copter 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?A cat's crinkle ball toy of mass 28 g is thrown straight up with an initial speed of 5 m/s. Assume in this problem that air drag is negligible. (a) What is the kinetic energy of the ball (in J) as it leaves the hand? (b) How much work is done (in J) by the gravitational force during the ball's rise to its peak? (c) What is the change in the gravitational potential energy of the ball (in J) during the rise to its peak? (d) If the gravitational potential energy is taken to be zero at the point where it leaves your hand, what is the gravitational potential energy (in J) when it reaches the maximum height? (e) If the gravitational potential energy is taken to be zero at the maximum height the ball reaches, what would the gravitational potential energy (in J) be when it leaves the hand? (f) What is the maximum height the ball reaches (in m)? m
- A 2 kg object initially at rest is pushed along a frictionless surface by a constant force of 10 N for a distance of 5 meters. Calculate the work done on the object and its resulting final velocity.A basketball playet makes a jump shot. The 0.600 kg ball is released at a height of 2.08m above the floor with a speeed of 7.31 m/s. The ball goes through the net 3.10 m above the floor at a speed of 4.03 m/s. What is the work done by the ball by air resistance, a nonconservative force ?A cat's crinkle ball toy of mass 15 g is thrown straight up with an initial speed of 3 m/s. Assume in this problem that air drag is negligible. (a) What is the kinetic energy of the ball as it leaves the hand? (b) How much work is done by the gravitational force during the ball's rise to its peak? (c) What is the change in the gravitational potential energy of the ball during the rise to its peak?
- The force F(x,y) = [(2.56 N/m)y]i + [(3.14 N/m)x]j acts on a particle. What is the work done, in joules, by the force if the particle moves in a straight line from Cartesian coordinate (0.00 m, 0.00 m) to (4.39 m, 4.39 m)?A force of: F = (23i+16j-51K)N is applied to a particle of mass 15-kg. The particle has a speed of 10 m/s when the force is applied and is at coordinates: (6,-10,8)m. Under the application of this force. the particle moves to a new position: (25,-21,-10)m.Determine: a) The work done by the force on the particle over this interval b) The speed of the particle at the end of this intervalWhen a 0.0577-kg golf ball takes off after being hit, its speed is 42.6 m/s. (a) How much work is done on the ball by the club? (b) Assume that the force of the golf club acts parallel to the motion of the ball and that the club is in contact with the ball for a distance of 0.0231 m. Ignore the weight of the ball and determine the average force applied to the ball by the club. (a) Number i Units (b) Number i I Units