4. (Challenge problem) A skier of mass m starts from rest at the top of a large solid sphere of radius R and slides down its frictionless surface. (a) At what angle relative to the top of the sphere will the skier leave the sphere? (b) If friction were present, would the skier fly off at a greater or smaller angle?
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- 1378 At a certain factory, 300 kg crates are dropped vertically from a packing machine onto a conveyor belt moving at 1.20 m/s (Fig. 8-64). (A motor maintains the belt's con- stant speed.) The coefficient of ki- FRAGLE netic friction between the belt and each crate is 0.400. After a short Figure 8-64 Problem 78. time, slipping between the belt and the crate ceases, and the crate then moves along with the belt. For the period of time during which the crate is being brought to rest relative to the belt, calculate, for a coordinate system at rest in the factory, (a) the kinetic energy supplied to the crate, (b) the magnitude of the kinetic frictional force acting on the crate, and (c) the energy supplied by the motor. (d) Explain why answers (a) and (c) differ.A 67.5-kg skier encounters a dip in the snow's surface that has a circular cross section with a radius of curvature of 12.0 m, as shown below. The snow is so slippery it can be considered to be frictionless. If the skier's speed a point A is 9.64 m/s, what is the skier's speed at point B? (enter your answer to three significant figures) possibly useful: K, + U, = K, + U, + AQ K = (1/2)mv2 W = mg Ugrav = mgh r 12 m %3D 1.75 m g = 9.81 m/s? (FJnet = mac = mv/r 9.64 m/s Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B What is the normal force exerted on the skier at point B? (enter your answer to three significant figures) Submit Request Answer
- 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?Problem 4 (Figure B). A mass of 2 kg is projected with a speed of 3 m/s up a plan inclined 20° with the horizonal. After traveling 0.8 m, the mas comes to rest. (a) Determine the coefficient of kinetic friction. (b) Determine the speed of the block when it returns to i starting position. Draw 2 x 9.8 19.6 N 20° N Figure B "NA 2.5kg ball is placed on top of a 15m tall ramp. Assuming the ball and the ramp have a coefficient of kinetic friction of 0.25, determine the speed of the ball at the bottom of the ramp.
- ► cube can slide without friction up and down a 30° slope. The ice cube is pressed against a spring at the bottom of the slope, compressing the spring 10 cm. The spring constant is 28 N/m. When the ice cube is released. what total distance will it travel up the slope before reversing direction? Express your answer with the appropriate units. As- Submit Part 8 Value Units → The ca cuce is replaced by a 44 g plastic cube whose coefficient of kinetic iction is 0.20. How far will the plastic cube travel up the slope? Express your answer with the appropriate units. ? Units ?Current Attempt in Progress A block is projected up a frictionless inclined plane with initial speed vo= 3.16 m/s. The angle of incline is 0 = 35.0°. (a) How far up the plane does it go? (b) How long does it take to get there? (c) What is its speed when it gets back to the bottom? (a) Number i (b) Number i (c) Number i Units Units UnitsMaria sets up a simple track for her toy block (m 0.54 m Need Help? = (a) Neglecting friction, what is the speed of the block when it reaches the bottom of the curve (the beginning of the horizontal section of track)? 3.25 m/s 0.40 kg) as shown in the figure below. She holds the block at the top of the track, 0.54 m above the bottom, and releases it from rest. (b) If friction is present on the horizontal section of track and the block comes to a stop after traveling 0.82 m along the bottom, what is the magnitude of the friction force acting on the block? 2.11 X Your response differs from the correct answer by more than 10%. Double check your calculations. N Read It
- A 4.25 kg block is projected at 5.40 m/s up a plane that is inclined at 30.0° with the horizontal. The block slides some distance up the incline, stops turns around and slides back down to the bottom. When it reaches the bottom of the incline again, it is traveling with a speed of 3.80 m/s. If the coefficient of kinetic friction between the block and the plane is 0.500, how far up the incline did the block slide?7.43 - A 2.0-kg piece of Figure P7.43 wood slides on a curved surface Wood (Fig. P7.43). The sides of the surface are perfectly smooth, but the rough horizontal bottom is 30 m long and has a kinetic friction coefficient of 0.20 with the wood. The piece of wood starts from rest 4.0 m above the rough bottom. (a) Where will this wood eventually come to rest? (b) For the motion from the initial release until the piece of wood comes to rest, what is the total amount of work done by friction? Rough bottom5. You throw a ball of mass m straight up with initial speed vo. (a) What would be the maximum height of the ball if there were no drag force on the ball? (b) Is the drag force a conservative force? Suppose the ball reaches a maximum height that is 80% of the value you found in (a) due to the drag force. With this information, (c) Derive an upper and lower bound on the speed at which the ball will strike the ground. Explain your reasoning! Hint: for the upper bound, pretend there is no drag force on the way down. (d) Explain why the actual speed at which the ball will strike the ground is neither exactly the upper nor lower bound you found in (c).