8. A spring is used to launch a small metal sphere of mass 100g vertically upward so that the ball can reach a height of 5.0 m. If the maximum compression of the spring before launch is 2.0 cm, what spring constant k must be used to achieve this height?
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- Question 4 How much power is required to lift a heavy solid concrete beam with mass 119.69 kg upward with a constant speed of 8.9 m/s using a crane? P = watts. Input only the number. Round off to the nearest whole number. A Moving to the next question prevents changes to this answer. 30°C acer 3ms FHD 44HZ F1L F12 F10 F7 FB Scr Lk FS F6 F3 Pause Jシ ト F1 F2 Esc &T @ 并 7 4 2 W E R T. Q IL Lock A F טA 10 cm long spring is attached to the ceiling. When a 2.0 kg mass is hung from it, the spring stretches to a length of 15 cm. What is the spring constant k? How long is the spring when a 3.8 kg mass is suspended from it?1. To compress spring 1 by 0.20m takes 150 J of work. Stretching spring 2 by 0.30m requires 210J of work. Which spring is stiffer? Explain and draws.
- 3A. A 3.00 kg object if given an initial velocity upward such that its initial kinetic energy is 140 J. a) What is the maximum upward displacement that the object will undergo? b) What change in gravitational potential energy has the object undergone when its velocity is 5.00 m/s upward?Suppose you were able to convert the energy used by light bulbs into kinetic mechanical energy that move objects. If you burnt a 60.0 W for 2.500 hours, how far could an object be pulled if a force of 5.0x103 N is supplied?6. An 80-kg person does a bungee-jump from a bridge 100m above a river, using a 30m long bungee cord. The bungee cord is effectively a spring with a spring constant of 40N/m. How far above the water's surface will the person be when the cord reaches its maximum extension?
- 6. A new event has been proposed for the Winter Olympics. As seen in the figure, an athlete will sprint 100 m, starting from rest, then leap onto a 20 kg bobsled. The person and bobsled will then slide down a 50-m-long ice-covered ramp, sloped at 20°, and into a spring with a carefully calibrated spring constant of 2000 N/m. The athlete who compresses the spring the farthest wins the gold medal. Lisa, whose mass is 40 kg, has been training for this event. She can reach a maximum speed of 12 m/s in the 100 m dash. 20° ww (a) How far will Lisa compress the spring? (b) The Olympic committee has very exact specifications about the shape and angle of the ramp. Is this necessary? What factors about the ramp are important?2. A stone is at rest on a spring, compressing the spring by 10.0 cm. The stone is pushed down a further 30.0 cm and released. Determine the maximum height of the stone above its release point. [Elevators have many safety features. In the extremely unlikely event that the multiple steel cables supporting the elevator carriage break and the emergency brakes fail to stop it, there is an oil filled piston at the bottom of the elevator shaft to cushion the landing. Model this piston as an ideal spring and assume that the 5,500 kg carriage is initially descending at 10 m/s when it contacts the spring (initially in equilibrium). The spring brings the carriage to rest over 2 m. Use conservation of energy to determine the spring constant. Assume the friction in the system is 4000 N. You need to consider the change in gravitational potential energy for this question.
- 1. A 23.0 kg child is playing on a swing with a length of 2.5 m. If the swing starts from rest and makes an angle of 40.0◦ with the vertical at the top of the swing, a) determine the child’s speed at the bottom of the swing neglecting friction. b) If the swing has a speed of 2.8 m/s at the bottom, determine the work done by friction during the downswing and, bonus) assuming the force of friction is constant, determine the maximum angle the swing attains on the upswing after passing through the bottom. Hint: Use the approximation that cos θ ≈ 1 − 1 2 θ 2 for angles given in radians.Mr. Muscedere lifts a loaded barbell up 2.2m. This increases the GPE of the barbell by 490J. What is the mass of the barbell?