7. A 3.0-kg mass is sliding on a horizontal frictionless surface with a speed of V=3.0 m/s when it collides with a 1.0-kg mass initially at rest as shown in the figure. The masses stick together and slide up a frictionless circular track of radius 0.40 m, as the drawing below shows. To what maximum height, h, above the horizontal surface will the masses slide. 0,40 m
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- 1. A 100 kg cart goes around the inside of a vertical loop of a roller coaster. The radius of the loop is 3 m and the cart moves at a speed of 6 m/s at the top. What is the force exerted by the track on the cart at the top of the loop?In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core is actually far from spherical, in this problem we’ll model it as a sphere with a mass of 1.0 x 1013 kg and a radius of 1.6 km. If a rock were dropped from a height of 1.0 m above the comet’s surface, how long would it take to hit the surface?In the problems below, “little g” plays a variety of roles. Near the earth’s surface, g has a value of 9.81 m/s2. At other locations g may have different values. Solve these word problems using the data provided below. MMoon = 7.35 × 1022 kg rMoon = 1.74 × 106 m rMoon’s orbit = 3.8 x 108 m mEarth = 5.97 × 1024 kg rEarth = 6.37 × 106 m rEarth’s orbit = 1.5 x 1011 m Question 1: An astronaut is standing on the moon, holding a feather. a) Calculate the acceleration due to gravity on the moon. b) The astronaut drops the feather from a height of 2.0 meters. How long does it take the feather to hit the ground? c) The feather has a weight of 0.020 N on Earth. What is its weight on the moon?
- 1. Toss a solid object at 22 m/s at a 35° angle from 1.2 m off the ground. (a) How high will it go? (b) Find the time needed to hit the ground. (c) How far will it go? (c) With what speed will it hit the ground?g12 physicscircle. Ezra swings the ball so that it always has constant speed of v = 4.82 m/s. The radius of the swing is r = 0.787 m and Ezra's hand is H = 1.40 m above the ground as shown. y H
- A 2 kg stone at the end of a string 1 m long is whirled in a vertical circle. The tension in the string is 52 N when the stone is at the bottom of the circle. The stone’s speed then is?A puck of mass m=2 kg moves on a circle of radius r=0.5 meters, on a frictionless table. The puck is attached to an object of mass M=10 kg by a cord that extends through a hole on the table. Find the speed of the puck if the object is at rest. You may take g=10m/s². Select one: O a. 4/3m/s O b.5/2m/s O c. 5m/s O d. 25m/s O e. 4m/s7:31 l LTE 4 1 Safari A Ferris wheel is traveling at a constant speed in a counter-clockwise direction as shown in the diagram. The people at location P are accelerating which direction? D A) A В) В C) C D) D A 35 kg girl sitting on a Ferris wheel is moving at a speed of 8.0 m/s. If the girl is 15.0 m from the axis of the carousel, what is the centripetal force that maintains her circular motion? A 25 kg girl sitting on a carousel is moving at a speed of 4.0 m/s. If the centripetal force acting on the girl is 45 N how far from the axis of the carousel is she sitting?
- How fast would you need to fire a 80 g Hot Wheels car down a straight track in order for it to successfully coast through a circular vertical loop of track with a radius of 30 cm? Draw a diagram and construct a force balance to determine your answer?Under good conditions, a car can travel at a maximum speed of vmax around a particular unbanked curve. In the aftermath of an ice storm, however, driving at that same speed will cause the car to slide off the road. Which of the statements below best describes why this is true? a. The friction force is no longer strong enough to balance the centripetal force and give the car zero acceleration. b. The friction force is needed to do negative work on the car to reduce the car’s kinetic energy. c. The friction force no longer provides a strong enough unbalanced force to change the car’s velocity quickly enough to stay on the curve. d. The car “floats” on the ice reducing the gravitational force which is what keeps the car on the road. e. [All of the above.]A person picks up an iron ball on a rope and starts to spin it around them. The person does 500 J of work to get the mass spinning. While spinning, the person steps onto ice (take friction out of the equation). The result is both the mass and the person are spinning around the same point in space (the mass is circling faster on a larger radius and the man is circling slower on a smaller radius). There is a point between the masses that is stationary. The iron ball has a mass of m = 10 kg. The person has a mass of M = 80 kg. 3 vb Point that masses rotate around M Vp When the person lets go of the rope, how fast will the person move and how fast will the ball move?