As a roller coaster car crosses the top of a 40m diameter loop-the-loop its apparent weight is the same as its true weight. What is the car’s speed at the top
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- A roller coaster goes around a vertical loop that has a diameter of 40 m. What is the minimum speed that the roller coaster car must go at the top of the loop to stay on track? (the total mass is 600 kg) (A 750 g ball swings in a vertical circle at the end of a 1.5 m long string. When the ball is at the bottom of the circle, the tension in the string is 40 N. What is the speed of the ball at that point?A 50 kg satellite circles planet Cruton every 6.0 h.The magnitude of the gravitational force exerted on the satellite by Cruton is 80 N. (a) What is the radius of the orbit? (b) What is the kinetic energy of the satellite? (c) What is the mass of planet Cruton?
- 14.) A hypothetical planet has a radius 2.1 times that of Earth, but has the same mass. What is the acceleration due to gravity near its surface? Express your answer to two significant figures and include the appropriate units. gplanet= ____________ ______________ 15.) A 1400-NN crate rests on the floor. a.) How much work is required to move it at constant speed 5.0 mm along the floor against a friction force of 330 NN . Express your answer to two significant figures and include the appropriate units. Wp= ____________ _____________ b.) How much work is required to move it at constant speed 5.0 mm vertically. Express your answer to two significant figures and include the appropriate units. Wp= _____________ ______________The Choo Choo Restaurant in DesPlaines, IL is a 50’s style diner which is notorious for the delivery of food from the kitchen to the dining room by an O-scale model train. Dinner baskets filled with hot dogs, hamburgers, French fries and the like are mounted to the tops of flatbed train cars and transported to table tops. On Matthew’s fifth birthday, a French fry rolled off the top of the pile on a tight turn moving at a speed of 1.25 m/s and fell to the floor. a. Determine the time for the French fry to fall 113 cm from the top of the pile to the floor.b. Determine the horizontal displacement of the fry from the edge of the track.c. Determine the speed of the French fry upon striking the floor.A car going in a circle with a constant speed v. How much work is done by the centripetal force F on the car after it travels half way around the circle in time t?
- A roller coaster cart is moving over the top of a circular hill that has a diameter of 56 m. What is the fastest safe speed that the roller cart can go over the top of the hill? (that is, at what speed will the cart begin to lose contact with the track?). Assume a coefficient of friction of 0.7.A space capsule of mass 445 kg is at rest 2.50 ✕ 107 m from the center of the Earth. When it has fallen 7.00 ✕ 106 m closer to the Earth, find the following. (a) What is the change in the system's gravitational potential energy? (b) Find the speed of the satellite at that point.A 965-kg satellite orbits the Earth at a constant altitude of 109-km. (answers in MJ) (a) How much energy must be added to the system to move the satellite into a circular orbit with altitude 190 km?(b) What is the change in the system's kinetic energy?(c) What is the change in the system's potential energy?
- 1) One of the tallest radio towers is in Fargo, North Dakota. The tower is629 m tall, or about 44 percent taller than the Sears Tower in Chicago.If a bird lands on top of the tower, so that the gravitational potentialenergy associated with the bird is 2033 J, what is its mass? Using=EG=MGH formulaA rocket with mass 7.00×103 kgkg is in a circular orbit of radius 7.50×106 mm around the earth. The rocket's engines fire for a period of time to increase that radius to 8.80×106 mm, with the orbit again circular. Part A What is the change in the rocket's kinetic energy? Does the kinetic energy increase or decrease? Express your answer with the appropriate units. Enter positive value if the kinetic energy increases and negative value if the kinetic energy decreases. ΔKΔK = nothingnothing SubmitRequest Answer Part B What is the change in the rocket's gravitational potential energy? Does the potential energy increase or decrease? Express your answer with the appropriate units. Enter positive value if the gravitational potential energy increases and negative value if the gravitational potential energy decreases. ΔUΔU = nothingnothing SubmitRequest Answer Part C How much work…3. A ball rolls along the smooth frictionsless track shown in in the figure below with an initial speed of 5.00 m/s. Assume that the ball turns all the corners smoothly with no loss of speed. Calculate to three significant figures despite what the figure shows. (a) What is the ball’s speed as it goes over the top? (b) What is its speed when it reaches the level track on the right side? (c) What is the difference between the final speed and the initial speed?