A stone is thrown upward at an angle of 53° above the horizontal. Its maximum height above the release point is 24 m. Use energy considerations to find the stone’s initial speed. Assume any effects of air resistance are negligible.
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- A crate of mass 11.0 kg is pulled up a rough incline with an initial speed of 1.48 m/s. The pulling force is 92 N parallel to the incline, which makes an angle of 20.6° with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 5.06 m. (a) How much work is done by the gravitational force on the crate? (b) Determine the increase in internal energy of the crate-incline system owing to friction. (c) How much work is done by the 92-N force on the crate? (d) What is the change in kinetic energy of the crate? (e) What is the speed of the crate after being pulled 5.06 m? m/sA bag of sand which acts as a counter weight for a stage set is suspended vertically by a rope of length L = 6.00 m and has a mass m = 132 kg. If a stagehand pushes the bag of sand a distance d = 5.00 m sideway: (a) the horizontal force needed in order to hold the bag at this position (b) the amount of work done on the bag by gravity as the stagehand pushes it to this position (Include the sign of the value in your answer.) (c) the amount of work done by the stagehand as he pushes the bag to this position (Include the sign of the value in your answer.)A crate is given a push across a horizontal surface. The crate has a mass m, the push gives it an initial speed of 3.60 m/s, and the coefficient of kinetic friction between the crate and the surface is 0.130. (a) Use energy considerations to find the distance (in m) the crate moves before it stops. ____m (b) What If? Determine the stopping distance (in m) for the crate if its initial speed is doubled to 7.20m/s. ____m
- Isn't there a way to solve this by only using the work and energy? W = F(Delta X) W = 1/2mv_{final}^2-1/2mv_{initial}^2 Potential Energy = MGH I understand how to solve this with regular FBD and newtons laws. I want to see the way to solve it using work and energy.In the movie Monty Python and the Holy Grail (https://openstaxcollege.org/l/21monpytmovcl) a cow is catapulted from the top of a castle wall over to the people down below. The gravitational potential energy is set to zero at ground level. The cow is launched from a spring of spring constant 1.1 × 104 N/m that is expanded 0.5 m from equilibrium. If the castle is 9.1 m tall and the mass of the cow is 110 kg, (a) what is the gravitational potential energy of the cow at the top of the castle? (b) What is the elastic spring energy of the cow before the catapult is released? (c) What is the speed of the cow right before it lands on the ground?5m μ 7. A mass m = 2 kg is released from the top of an incline plane 5 m long and at an angle of 37° to the horizontal. The mass slips to the bottom of the incline, strikes a spring which compresses and projects the mass back up. The coefficient of friction between the mass and the incline is μ = 0.2. Using energy principles, find how far back up the incline the mass m moves before it comes to rest. 700002 k 37° E m
- A skier of mass 115 kg travels down a ski trail. Suppose the ski trail is not frictionless. (a) If the top of the trail is a height 180 m above the bottom, find the work done by gravity on the skier. J (b) If the skier has a speed of 36 m/s at the bottom of the hill, what is the work done by friction on the skier? (Assume the skier starts at rest at the top of the hill.) JA roller coaster car has a mass of 2,895 kg when loaded with people. The car is rolling down a steep hill. When the car is 12.5 m above the ground its velocity is 3.11 m/s. Assuming we can ignore friction, use energy principles to determine the initial gravitational potential energy (EGi).A 55 g ball is thrown from a window with an initial velocity of 8.0 m/s at an angle of 33° above the horizontal. Using energy methods, determine (a) the kinetic energy of the ball at the top of its flight and (b) its speed when it is 2.0 m below the window. Does the answer to (b) depend on either (c) the mass of the ball or (d) the initial angle? (a) Number i Units (b) Number i Units (c) (d)