Gayle runs at a speed of 4.10 m/s and dives on a sled, initially at rest on the top of a frictionless snow-covered hill. After she has descended a vertical distance of 5.00 m, her brother, who is initially at rest, hops on her back and together they continue down the hill. What is their speed at the bottom of the hill if the total vertical drop is 15.0 m? Gayle's mass is 46.5 kg, the sled has a mass of 5.25 kg and her brother has a mass of 30.0 kg.

Q: A 119.23-kg skier starts with an initial speed of 29.22 m/s and coasts up a H=6.10-m-high rise as…

A: ma=-mg sinθ-μN    =-mg sinθ-μ mg cosθ    =-mgsinθ+μcosθa=-g(sinθ+μcosθ) acceleration

Q: sailor is stuck on a tropical island and emergency supplies are airlifted to him before a ship can…

A:

Q: und. If the elevator can accelerate at a,, decelerate at a, and reach a ma mine the shortest time to…

A: Given Data The heigth above the ground is:h=16 m The acceleration is:a1=0.2 m/s2 The deceleration…

Q: Water issues from a nozzle with an initial velocity v and supports a thin plate of mass m at a…

A: The problem involves a water jet supporting a plate at a certain height. The water jet has an…

Q: Q9. The 3.9-kg, uniform crate slides up the inclined surface with an initial speed of 11 m/s. If the…

A:

Q: The weight of a Falcon rocket is 500,000 kg. It will be landed on earth at a constant speed of 100…

A: Given data - Initial mass of rocket = 500,000 kg  combustion gases is ejected at a constant rate of…

Q: A manufacturing company is testing which material to enclose its packages with when dropping…

A: To find: The rebound velocity of packages A. Given: The initial velocity of package A is uA=5 ms.…

Q: t, determine the horizontal component of the absolute velocity of the canoe

A:

Q: Q9. A 24-kg box was thrown onto a 35-kg cart with a speed of 7 m/s in the as shown. The cart was…

A:

Q: Block A, 3 kg, is initially traveling with velocity 28.6 m/s to the left on a frictionless surface…

A: Given; m= 3 kgV=28.6 m/s

Q: In an ore-mixing operation, a bucket full of ore is suspended from a traveling crane which moves…

A: Given: The maximum horizontal swing, x = 10 ft The distance between point A and point B, L = 10 ft…

Q: Q5 / The 20-kg sliding panel is suspended from frictionless rollers that run on the horizontal rail.…

A:

Q: Using a simple pulley/rope system, a c expedition is trying to lower a 6.56 kg c of a steep ravine…

A:

Q: A7.1-Mg truck is resting on the deck of a barge which displaces 398 Mg and is at rest in still…

A:

Q: A 10-kg crate travels along a smooth slope as shown. If at the point shown its speed is 20m/s,…

A:

Q: Assume that a skater of mass m, moving at a constant speed Vo, suddenly stands stiffly with skates…

A:

Q: A space shuttle is in a circular orbit at an altitude of 169 mi. Calculate the absolute value of g…

A: gh = 29.6487 ft/sec2 Wh = 152 lb

Q: The amusement park ride consists of a 200-kg car and passenger that are traveling at 4.6 m/s along a…

A: Given   Mass, m = 200 kg   Radius, r1 = 8 m               r2 = 8 - 0.5 x 4                   = 6 m…

Q: A braking system for an aircraft consists of 2 parachutes, each having a diameter of 3.75 m,…

A: Given data: The drag coefficient for the hollow semi-sphere for the opposite stream is: The…

Q: A ball is thrown vertically up with a velocity of 29 m/s at the edge of a 77-m cliff. Calculate the…

A:

Q: ive to the boat. Determine the speed of the boat after they both dive, if (a) the woman dives first,…

A:

Q: The 0.2 kg ball is blown through the smooth vertical circular tube whose shape is defined by r= (0.6…

A: The mass of the ball is m=0.2 kg The shape is r=0.6sinθ θ=πt2

Q: A brick is released from rest 10 m above the level floor. Determine its speed when it is 2 m above…

A: Newton's equation of motion gives the relation between velocity, distance and time of a body moving…

Q: Q9. A 19-kg box was thrown onto a 36-kg cart with a speed of 5 m/s in the as shown. The cart was…

A:

Q: The catapult is used to launch a ball such that it strikes the wall of the building at the maximum…

A:

Q: eed at D (

A: given:m=5.7kgl=2.16mμ=0.18R=0.81m

Q: Required information A 175-lb man A and a 40-lb child Care at the opposite ends of a 250-lb floating…

A: Given-Information:- The mass of man A is ma=175 lb. The mass of child C is mc=40 lb. The mass of the…

Q: While cruising in level flight at a speed of 600 mi/h, a jet plane scoops in air at the rate of 200…

A: Given Mass flow rate can be determined as

Q: A 0.5-kg ball is attached to a 1-m cable traveling along a circular path in the vertical plane.…

A:

Q: A fighter pilot, whose mass is 72 kg, completes a vertical loop of radius R=333m with a constant…

A: Given: Mass m=72kg Radius R=333m Velocity V=285m/s True weight of the pilot W=mg=72×9.8=705.6N

Q: R = _______lb

A: NEED TO FIND AVERAGE RESISTANCE

Q: A 0.80 kg mass is hung from a string of 0.70 meters. On its next pass, the mass strikes a spring,…

A:

Q: The slider of mass 1 kg attached to a spring of stiffness 400 N/m and unstretched length of 0.5 m is…

A: From A to B At position A vA=0xA=0.5 m Here vA is the velocity at point A and xA is the horizontal…

Q: Q7. The 4-kg ball is connected to a spring with spring constant k = 240 unstretched length of 0.8 m.…

A: Write the given data with suitable variables.The free-body diagram for the ball system.

Q: When the 75 kg skier is at point A, she has a speed of 1.5m/s. Neglecting frictionand air…

A: We can find the skier's speed at point B (a) using mechanical energy conservation, but not the…

Q: 5. Determine the moment about point B for each of the individual three forces acting on the beam,…

A: As per given question  We have to determine moment about point B

Q: A 5kg block is pushed up along the slope as shown. The coefficient of kinetic friction is uk =0.2.…

A:

Q: Given a 1400 kg car traveling along a route with an increasing vertical profile y=0.0003x^2.…

A:

Q: Knowing that, ignoring air resistance, an apple falling from a height h hits the ground when 2h If…

A: Given Data

Q: Consider a ski jumper moving down a track to acquire sufficient speed to accomplish the ski jumping…

A:

Q: A tether ball of mass m is attached to a vertical pole by a rope of length L. Determine the angle…

A:

Q: A student pilot taxiing a Cessna 172 - Skyhawk is brought to a full stop with a total distance of…

A: Givenmpilot=170lbs =1702.205=77.1107kgmairplane =757kgV=21 knot =10.8033 m/s

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.