The track of a roller coaster is shown in the diagram below. A 950 kg cart is pulled up to point A where it is released from rest. What will the speed of the cart be when it reaches point B? Round to the nearest whole number. Assume the total mechanical energy of the cart + Earth system is conserved. 140m 1.20m 95m O 53 m/s 30 m/s 882 m/s O 37 m/s

An airplane of mass 4500 kg is cruising at a speed of 49.0 m/s at an altitude of 175 m. What is its total mechanical energy ?  Show solution and choose from the choices below:       2.27 × 10^8 J       6.91 × 10^7 J       5.26 × 10^7 J       3.91 × 10^7 J       1.31 × 10^7 J

A roller coaster starts with a speed of 4.1 m/s at a point 51 m above the bottom of a dip. Neglecting friction, what wil be the speed of the roller coaster at the top of the next slope, which is 30 m above the bottom of the dip? Answer: m/s

Question 7/8

Please use the information in the picture to answer the question: How fast must it have leapt from the water to reach a such a great height and speed. If you stand at the bow where you can reach up to a height of 3m above the water. You can only catch a fish if it is traveling under 8.5m/s when it reaches you. Will you be able to catch the fish? Find the speed of the fish at your location. Hint: use energy conservation.

Look at the diagram below. 3.0 kg 10.0 m In the diagram, a 3.00 kg ball is dropped from a height of 10.0 m. What will its kinetic energy be just before it hits the ground? (Disregard air resistance; g= 9.81 m/s2) A 0.980 J B 29.4 J 98.0 J D 294 J

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= 7.50 m. The figure below shows a box with a mass of m = 7.10 kg that starts from rest at point A and slides on a track with negligible friction. Point A is at a height of ha A MET 3.20 m 2.00 m m ha (a) What is the box's speed at point B (in m/s)? m/s What is the box's speed at point C (in m/s)? m/s (b) What is the net work (in J) done by the gravitational force on the box as it moves from point A to point C?

Calculate the potential energy, kinetic energy, mechanical energv, velocitv, and height of the coaster at the various locations. No Friction on this Roller Coaster. mass of the roaller coaster car = 85 kg 100 start 95 Let gravity on Earth equal 10 m/s? Bcar bumper D E water F finish A B D E P.E. К.Е. M.E. 5 m/s speed height 80 m Height in meters

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