A snowboarder drops from rest into a halfpipe of radius R and slides down its frictionless surface to the bottom (see the figure below).Show that (a) the snowboarder's speed at the bottom of the halfpipe is v = V 2gR, (b) the snowboarder's centripetal acceleration at the bottom is a, = 2g, and (c) the normal force onthe snowboarder at the bottom of the halfpipe has magnitude 3mg.

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Answered: A snowboarder drops from rest into a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Suppose a car rounds a curve at a constant speed of 13 m/s. The curve is a circular arc with a radius of 100 m. Ignore air friction initially. (a) What is the magnitude and direction of the horizontal force that the road must exert on the car to keep it moving along the curve? Express this magnitude as a fraction of the car’s weight. The magnitude of the horizontal force is _______∣F→g∣|. The direction is (Choose one) Horizontal and parallel to the direction the car turns to Vertical and perpendicular to the direction the car turns to vertical and parallel to the direction the car turns to horizontal and perpendicular to the direction the car turns to (b) Now suppose that air friction is not zero, but is about half the result that you calculated for part (a). Must the force that the road exerts on the car increase in magnitude compared to the no-drag case? (Choose )Yes or No Must it change its direction? (Choose) Yes Or No
Just before entering the tunnel, you notice the sign that says you must "use the tunnel with your bicycle on foot" but it is too late and you are descending through the tunnel with an initial speed of 6.6 km / h. The tunnel has a semicircular ramp with radius R = 6.3 m, and its mass combined with the mass of the bicycle is 60.3 kg. a) Find the velocity at the bottom of the curve, point 2, for when the friction force is negligible.
Mr. B does a demonstration with a bucket of water tied to a 1.4-meter long string. The bucket and water have a mass of 2.0 kg. Mr.B spins the bucket in a vertical circle such that it has a speed of 4.1 m/s at the top of the loop and 6.8 m/s at the bottom of the loop. What is the acceleration at the bottom of the loop?
The Zero Gravity Research Facility (for more information you can check out their homepage at the URLhttp://zeta.lerc.nasa.gov/facility/zero.htm). At the Zero Gravity Research Facility at NASA Lewis Research Center the main facility is a tower which allows to drop something from a height of 145m. a) How long can an object be in free fall if it starts falling from the top? b) What is its speed just as it reaches the catching device at the bottom? c) When caught, the object experiences an average deceleration of 25g as its speed is reduced to zero.
A 35.0-kg child swings in a swing supported by two chains, each 2.98 m long. The tension in each chain at the lowest point is 440 N. (a) Find the child's speed at the lowest point.m/s(b) Find the force exerted by the seat on the child at the lowest point. (Ignore the mass of the seat.)N (upward)
I've been moonwalking for hours, and I'm getting tired. Explain why, as I come to a stop, my velocity is increasing while my speed is decreasing.
When a hockey player takes a shot from deep in his own zone toward the other end of the rink 400 ft away, one hardly notices the puck slowing down at all. The coefficient of kinetic friction between a puck and the ice is about 0.03. If a player shoots at 100 mph, how fast is the puck moving 400 ft later? Express the answer in miles per hour with four significant digits. If the player shoots at 100 mph, how far would the puck go before it comes to rest? Assume that there is a large lake of ice and no rink. Round the final answer to two decimal places
Two crates of fruit are released from the top of a ramp inclined at 30 degrees from the horizontal and 4.5 meter long. The two crates consist of an apple crate of mass 20 kg that is placed in front of a watermelon crate of mass 80 kg. The apple crate has a coefficient of friction of 0.20 while the watermelon crate has a coefficient of friction of 0.15. How long does it take the apple crate to reach the bottom of the incline if it needs to travel a distance of 4.5 meters?
A 60 kg skydiver falls, beginning at rest. This isn't an ordinary skydive though, because it's taking place on an alien planet where g = 8 m/s2. The drag force on the skydiver is given by FD = -0.14 v (N). Calculate the speed of the skydiver after they have fallen for 322 s, in m/s. (Please answer to the fourth decimal place - i.e 14.3225)
- Determine the acceleration of the crate as it slides down the plane. - If the crate starts from rest 8.80 mm up along the plane from its base, what will be the crate's speed when it reaches the bottom of the incline?
At Ted's request, Bill pushes the pizza box across the granite countertop towards Ted. When the box leaves Bill's hand it is sliding at 2.60 m/s. The box comes to rest over a distance of 110 cm. What is the coefficient of kinetic friction, uk, between the pizza box and the countertop? (Ignore air drag.)

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