A 69.0-kg athlete leaps straight up into the air from a trampoline with an initial speed of 8.9 m/s. The goal of this problem is to find the maximum height she attains and her speed at half maximum height. What is the gravitational potential energy associated with the athlete?

Q: A roller coaster (329 kg) moves from A (8.67 m above the ground) to B (26.9 m above the ground). Two…

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Q: A block of mass m = 5 kg is attached to a spring with spring constant  k= 400 n/m . The spring, with…

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Q: On an essentially frictionless, horizontal ice rink, a skater moving at 6.0 m/sm/s encounters a…

A: Given initial speed= 6m/s Final speed = 2.88m/s Friction force = 0.22Mg = 2.2M Change in kinetic…

Q: You are holding a 1 kg rock and standing at the top of a cliff. You drop the rock off the cliff and…

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Q: A 0.30-kg stone is held 1.2 m above the top edge of a water well and then dropped into it. The well…

A: Dear student The Gravitational Potential Energy is given as : U = mgh Where m = mass g = 9.8 m/s2 h…

Q: Pilings are driven into the ground at a building site by dropping a 1950 kg object onto them. What…

A: The change in gravitational potential energy with change in height from ground can be expressed as;…

Q: A 0.40 kg block can slide up and down a rough 10-m-high, 30-m-long slope. At the bottom, a stiff…

A: Given that:Mass of the block, m=0.4 kgHeight of the ramp, h=10 mLength of the ramp, L=30 mSpring…

Q: A 45.0 kg student climbs a 5.45 m long rope and stops at the top. What must her average speed be to…

A: The work done by the student is equal to the change in gravitational potential energy. Hence,  W=mgh…

Q: A 63kg skier coasts down a 30◦ slope. At the top of the slope her speed is 3.6m/s. She accelerates…

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Q: A child of mass m = 23 kg slides down a slide of height h = 2.7 m without friction. Let…

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Q: When an 75.7-kg adult uses a spiral staircase to climb to the second floor of his house, his…

A: The objective of the question is to find out the increase in gravitational potential energy of a…

Q: A child's playground slide is d = 5.0m in length and is at an angle of e= 2.0° with respect to the…

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Q: A man of 30 kg jumps up to a height of 2 m . What is his potential energy at the highest point ?

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Q: Assume g= 9.8 m/s² near the surface of the Earth. Traveling in a mountainous area, a bus of mass 3…

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Q: A 700-g block is dropped onto a relaxed vertical spring that has a spring constant k =200.0 N/m. The…

A: Given , Mass = 700 grams = 0.7 kg spring compression x = 46.6 cm = 0.466 m  spring constant k = 200…

Q: A 60-kg hiker hikes from Yosemite Valley (elevation 1209 m) to Glacier Point (elevation 2199 m).…

A: Given: Mass of the hiker is m =60 kg          Yosemite Valley elevation h1 =  1209 m…

Q: A 5.5 g marble is fired vertically upward using a spring gun. The spring must be compressed 8.0 cm…

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Q: speed at x = -4.5 m is v = 22.C

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Q: A 32 kg bear slides, from rest, 8.4 m down a lodgepole pine tree, moving with a speed of 4.3 m/s…

A: a) We know ∆P.E.=mg∆h=32×9.81×8.4i.e.∆P.E.=2636.93 J  b) K.E.=12mv2=12×32×4.32i.e.K.E.=295.84 J

Q: of the cart at each of the following po A: The bottom of the first hill B: The top of the second…

A: Conservation of Energy According to the law of conservation of energy, the total mechanical energy…

Q: A 240-kg roller coaster reaches the top of the steepest hill with a speed of 5.60 km/h. It then…

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Q: A rock falls from a vertical cliff that is 4.0 m tall and experiences no significant air resistance…

A: Given that,Height : h = 4 (m)Here we need to find the speed car :Now,As we know that,The speed at…

Q: A 4.0 x 104 kg roller coaster starts from rest at point A. Neglecting friction, calculate its…

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Q: A roller coaster cart of mass m = 241 kg starts stationary at point A, where h1 = 39.4 m and a while…

A: The potential energy of the car at A relative to the ground is given by, UA=mgh1

Q: A 340 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 2.1 N/cm…

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Q: A 1 kg block is pushed with constant force along a horizontal, frictionless track for a period of 10…

A: Given Data : The mass of the block is given as m = 1Kg. The initial velocity of the block is given…

Q: a 16 kg girl slides down a playground slide that is 4.8 m high. when she reaches the bottom of the…

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Q: 5. A 0.50-kg ball is thrown vertically upward with an initial speed of 16.0 m/s. What is the kinetic…

A: Given Mass of ball = m = 0.50 kg initial velocity= u = 16 m/s We have to calculate the kinetic…

Q: 25 kg bear slides, from rest, 12 m down a Lodgepole Pine tree, moving with a speed of 5.6 m/s just…

A: We take the initial gravitational potential energy to be Ui= 0. Then the final gravitational…

Q: lands on top of the tower, so that the gravitational potential associated with the bird is 2034 J.…

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Q: A 230 g block is dropped onto a relaxed vertical spring that has a spring constant of k-2.3 N/cm…

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Q: total mechanical energy

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Q: You throw a ball of mass 15.0 kg straight upward into free fall with an initial kinetic energy of…

A: Given: Mass of ball = 15.0 kg. Initial kinetic energy = 7.0 J

Q: A 3-kg ball is thrown with a speed of 9 m/s at an unknown angle above the horizontal. The ball…

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Q: A 68.5-kg athlete leaps straight up into the air from a trampoline with an initial speed of 8.7 m/s.…

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Q: When an 81.0 kg adult uses a spiral staircase to climb to the second floor of his house, his…

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Q: A box of unknown mass is sliding with an initial speed v₁ = 4.30 m/s across a horizontal…

A: Intial velocity of box = 4.3m/s Rough section of floor=2.8m Coefficient of kinetic friction=0.1 Let…