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: 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: A toboggan having a mass of 14 kg starts from rest at A and carries a girl and boy having a mass of…

A: We have given, A toboggan having a mass of 14 kg starts from rest at A and carries a girl and boy…

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: 2. A skydiver dropped a block of wood at the same time she dove out of the plane. The skydiver has a…

A: Given: M = 85 kg m = 15 kg     a) Applying energy balance for block    Potential energy at A =…

Q: The 4-kg ball (A) is thrown so that it travels horizontally at 10 m/s when it strikes the 10-kg…

A: The mass of ball A is ma=4 kg The mass of block B is mb=10 kg. The coefficient of restitution is…

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

A:

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: 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: When the 150-lb skier is at point A he has a speed of 5 ft/s. When the skier reaches point B on the…

A: Law of conservation of energy: Energy can neither be created nor be destroyed but it can be…

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: 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: The system shown in Figure 2 is at rest when the lower rope is cut. Determine the speed of the…

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

A:

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

A:

Q: t takes 34 s for the 60-Mg tugboat to increase its speed uniformly to 25 km/h, starting from rest.…

A: (a) To find: The force of the rope on the tugboat. Given: The speed of tugboat is v=25 kmh. The mass…

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.