A 4.80-kg watermelon is dropped from rest from the roof of a 25.0-m-tall building and feels no appreciable air resistance. (a) Calculate the work done by gravity on the watermelon during its displacement from the roof to the ground. (b) Just before it strikes the ground, what is the watermelon's (i) kinetic energy and (ii) speed? (c) Which of the answers in parts (a) and (b) would be different if there were appreciable air resistance?
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- A 300 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 1.1 N/cm (see the figure). The block becomes attached to the spring and compresses the spring 18 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 Units (b) Number Units (c) Number Units (d) Number Units |wwwwThe driver of a 1750 kg car, initially traveling at 10.6 m/s applies the brakes, bringing the car to rest in a distance of 21.0 m. Find the net work done on the car? Find the magnitude and direction of the force that does this work?A 0.200-kg particle has a speed of 1.50 m/s at point and kinetic energy of 7.10 J at point B. (a) What is its kinetic energy at ? J (b) What is its speed at B? m/s (c) What is the net work done on the particle by external forces as it moves from J to Ⓡ?
- A 3.5 kg block starts with a speed of 16 m/s at the bottom of a plane inclined at 41° to the horizontal. The coefficient of sliding friction between the block and plane is μk = 0.32. (a) Use the work–energy principle to determine how far (in m) the block slides along the plane before momentarily coming to rest. (b) After stopping, the block slides back down the plane. What is its speed (in m/s) when it reaches the bottom? (Hint: For the round trip, only the force of friction does work on the block.)A 350 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 4.6 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 0.584 (b) Number -6.647 (c) Number 5.886 (d) Number 0.33 Units I J Units J Units m/s Units mA basketball player makes a jump shot. The 0.600-kg ball is released at a height of 2.02 m above the floor with a speed of 7.47 m/s. The ball goes through the net 3.10 m above the floor at a speed of 3.90 m/s. What is the work done on the ball by air resistance, a nonconservative force?
- A 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 skier of mass 107 kg travels down a frictionless ski trail. (a) If the top of the trail is a height 186 m above the bottom, what is the work done by gravity on the skier? J (b) Find the velocity of the skier when he reaches the bottom of the ski trail. Assume he starts from rest. m/sEach cord can sustain a maximum tension of 31 lb. (Figure 1) Part A Determine the largest weight of the lamp that can be supported. Express your answer to three significant figures and include the appropriate units. ? HA W = Value Units Submit Request Answer Figure 1 of 1 Part B E Determine 0 of cord DC for equilibrium. 30° Express your answer using three significant figures. B 60° Αφ vec ? Submit Request Answer
- 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 helicopter lifts a 65 kg astronaut 18 m vertically from the ocean by means of a cable. The acceleration of the astronaut is g/10. (a) How much work is done on the astronaut by the force from the helicopter? (b) How much work is done on the astronaut by her weight? (c) What is the kinetic energy? (d) What is the speed of the astronaut just before she reaches the helicopter? m/sA 65.70 kg baseball player begins his slide into second base when moving at a speed of 6.090 m/s. The coefficient of friction between his clothes and the earth is 0.7480. How much work (in Joules) is done on the runner as he slides to a stop?