A slingshot, which can be modeled as a spring with spring constant k = 56.4 N/m, is stretched by 16 cm with respect to its equilibrium position and used to shoot a rock with mass 0.15 kg straight up into the air. Find the speed of the rock (in m/s) when it reaches a height which is 75% of its maximum height (relative to the position at which it was shot from). Use g = 9.81 m/s2. Hint: First find the maximum height, and then find the speed when the height is 75% of that

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A: In this case, we can use projectile motion concept because the biker is subjected to no other force…

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A: Given: h1=2.7 m h2=60 cm =0.6 m initial velocity v1=0 m/s

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A: GivenMass of the hanging mass m1 = 4 kgMass of the cart m2 = 3 kg H =0.45 m

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A: Given: The intial speed of the object is 15 m/s. The angle of the projection is 15o. The height of…

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Q: han on a motorcycle plans to make a jump as shown in the figure. e leaves the ramp with a speed of…

A: u = 32 m/s  ux= 30.4m/s at max height

Q: skier is initially moving at 13.7 m/s on level ground as they approach a hill that is angled upward…

A: Initial velocity (u) = 13.7 msAngle of incline of hill (θ) = 15.8oLet the mass of skier = m Distance…

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Q: 1. In a project in PE (let's assume this) you were asked to throw a golf ball from the roof of a…

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Q: small block slides down a frictionless track whose shape is described by y = (x^2) /d for x0. The…

A: Given  At x =0, is given a push to left with an initial speed of 2.60 m/s.  So  Total energy at x=0…

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A: To determine the maximum height above the end of the ramp, we need to use the…

Q: k H

A: Mass of student =56 kg Spring constant of spring k =60000 Compression in spring = 0.65m Height H…

Q: What is its maximum height if there were no air resistance?

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Q: If he leaves the ramp with a speed of 29.5 m/s and has a speed of 27.7 m/s at the top of his…

A: Useful formula: Kinetic energy of an object with mass M & speed v is Ek=12Mv2       ...(1)…

Q: A student exerts a force of 48.0 N to compress a spring 5.50 cm. The force constant for the spring…

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Q: Your answer is partially correct. A proton (mass m = 1.67 x 10-27 kg) is being accelerated along a…

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Q: 38. GO The skateboarder in the drawing starts down the left side of the ramp with an initial speed…

A: Consider the initial position of the skater as a datum point. Therefore, the initial potential…

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A: We are aware that a ball is thrown from the found at a 45-degree angle to the horizontal surface. It…

Q: A box is thrown (at an unknown angle) with a speed of 17.8 m/s from the top of a 28.4 m high cliff.…

A: Initial speed (u) = 17.8 msThe height of cliff (h) = 28.4 m Let the mass of box = m

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A: Given data :k=15000 N/mHi=15 mm=5 kgx=0.2 mwhere, k is the spring constant Hi is the height m is the…

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Q: #5. A spring-loaded gun shoots a plastic ball with a launch speed of 2.0 [m/s]. If the spring is…

A: Given data The initial launch speed is v1=2.0 m/s The spring constant of the first spring is k1=k…

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Q: A slingshot, which can be modeled as a spring with spring constant k = 81.9 N/m, is stretched by 22…

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A: "Since you have asked multiple questions, as per instructions to us, we will solve the first…

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Q: You drop a ball from your roof of your house. If the ball is 0.8 kg, and the roof is 7 m above the…

A: Given that u=0, h=7m, Using v^2=u^2+2ah v^2= 2×9.8×7 v=sqrt(137.2) V=11.7 m/s

Q: Grug is a creature formed from the top of a Burrawang tree, standing ~1.25m tall. One day, Grug…

A: Given : H=2.6 m, h= 0.69m

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A: Use the energy conservation, and determine the launch speed of the skateboarder at the end of the…

Q: An adult dolphin weighs around 1410 N. How fast must it be moving as he leaves the water vertically…

A: The maximum height (h) = 2.30 m Now for the velocity (u) of the dolphin, we use the kinematics…

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Q: A ball has a mass of 0.150 kg and is given an initial speed of 20.4 m/s. When the ball is at a…

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Q: The drawing shows a skateboarder moving at 6.90 m/s along a horizontal section of a track that is…

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Q: A girl jumps upward off a trampoline with a speed of 3.6 m/s. How high will she rise? Ignore air…

A: Given data:  Initial velocity (u) = 3.6 m/s, upward Air resistance is negligible Required: The…

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Q: A ski jumper starts from rest 40.0 m above the ground on a frictionless track and flies off the…

A: Given,Height of the track, h1 = 40.0 mthe track is at an angle of, 45°(above the horizontal)at an…

Q: A proton (mass m = 1.67 x 10-27 kg) is being accelerated along a straight line at 6.20 × 1011 m/s²…

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Q: 6 Part (b) Find the unknown constant b such that aD + bB + A = 0

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Q: If a 3.58 kg object is placed on a frictionless incline of 59.5 º and released from rest, what is…

A: The kinematic equations of motion are-1) v=u+at2) s=ut+12at23) v2=u2+2as where,u is initial…

Q: In the Marvel comic series X-Men, Colossus would sometimes throw Wolverine toward an enemy in what…

A: a. take upward direction as y direction and choose the ground position to be 0 m. take right…

Q: 11. A proton is being accelerated along a straight line at 3.6 x 1015 m/s² in a machine. If the…

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Q: The drawing shows a skateboarder moving at 6.70 m/s along a horizontal section of a track that is…

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Q: proton (mass m = 1.67 × 10-27 kg) is being accelerated along a straight line at 9.80 × 1011 m/s2 in…

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