box with mass m goes down a ramp that makes an angle of 60 º with the horizontal. The ramp bands together to a flat section and then onto a circle track of radius R that ends where it's vertical. box is released from rest at a distance 3R above the horizontal and leaves the track at point A. all surfaces are frictionless. What force does the track exert on the box before it leaves the track?
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box with mass m goes down a ramp that makes an angle of 60 º with the horizontal. The ramp bands together to a flat section and then onto a circle track of radius R that ends where it's vertical. box is released from rest at a distance 3R above the horizontal and leaves the track at point A. all surfaces are frictionless. What force does the track exert on the box before it leaves the track?
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- Disturbed by speeding cars outside his workplace, Nobel laureate Arthur Holly Compton designed a speed bump (called the "Holly hump") and had it installed. Suppose a 1 800-kg car passes over a hump in a roadway that follows the arc of a circle of radius 19.6 m (a) If the car travels at 25.0 km/h what force does the road exert on the car as the car passes the highest point of the hump? magnitude N direction (b) What is the maximum speed the car can have without losing contact with the road as it passes this highest point?For the normal force in the drawing to have the same magnitude at all points on the vertical track, the stunt driver must adjust the speed to be different at different points. Suppose, for example, that the track has a radius of 2.24 m and that the driver goes past point 1 at the bottom with a speed of 28.3 m/s. What speed must she have at point 3, so that the normal force at the top has the same magnitude as it did at the bottom?QUESTION 1 A boy takes a 2.0-kg rock and ties it to the end of a light, uniform, 0.80-m-long rope. He then grabs the other end of the rope and swings the rock in a vertical circle. If he imparts a tension of 20 N to the rope as he swings the rock over the top of the circular motion, what will be the speed of the rock at the very top of the motion? Assume that g = 9.8 m/s2. а. 2.0 m/s b. 6.0 m/s C. 5.0 m/s d. 4.0 m/s е. 3.0 m/s
- A student of mass M = 98 kg takes a ride in a frictionless loop-the-loop at an amusement park. The radius of the loop-the-loop is R = 24 m. The normal force by the track on the student at the top of the loop-the-loop is N₁ = 944 N. Find the speed of M at the top of the loop-the-loop. m/s Determine the normal force on M by the track at the bottom of the loop-the-loop, assuming the speed at the bottom is the same as at the top. NThe diagram shows a box moving down a green ramp, beginning from rest at the top of the ramp and ending at the bottom. The angle of the ramp's surface with the horizontal and the distance the box moves on the ramp from top to bottom are shown in the diagram. Given this information, how long does it take the box to reach the bottom of the ramp? Assume the surface of the ramp is frictionless and ignore air resistance. Use g = 9.81 m/s². Give your answer in units of seconds to two significant figures. When inputting your answer in the box below, enter a numerical value only (without the unit's symbol or name). Ax = 36 m 8 = 30°circle. 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
- For the normal force in the drawing to have the same magnitude at all points on the vertical track, the stunt driver must adjust the speed to be different at different points. Suppose, for example, that the track has a radius of 2.23 m and that the driver goes past point 1 at the bottom with a speed of 24.0 m/s. What speed must she have at point 3, so that the normal force at the top has the same magnitude as it did at the bottom?A 2,191 kg roller coaster cart goes 14.97 m/s at the top of a vertical circular loop of 20 m radius. There is no friction. What would the magnitude of the normal force on the cart be when it is moving straight down (20 m from the bottom) in N?A new roller coaster contains a loop-the-loop in which the car and rider are completely upside down. If the radius of the loop is 16.4 m, with what minimum speed must the car traverse the loop so that the rider does not fall out while upside down at the top? Assume the rider is not strapped to the car. orrect Answer O 12.7 m/s 14.0 m/s 10.1 m/s 14.9 m/s EPIC GARES II
- The car is fully loaded with passengers and has a total mass of 575 kg. At point A, the car is at the lowest point in a circular arc of radius r1 = 12.4 m. At point B, the car is at the highest point of a circular arc of radius r2 = 17.3 m. (a) If the car has a speed of 25.0 m/s at point A, what is the magnitude of the force (in N) of the track on the car at this point? (b) What is the maximum speed (in m/s) the car can have at point B in order for the car to maintain contact with the track at all times (that is, so that it does not "jump" off the track)?A small block, initially at rest at point A, slides down a curve leading to a half-circle of radius R 6.75 m. The surface is frictionless, with the exception of a horizontal segment BC of length s=22.5 m, which has the coefficient of friction equal u=0.145. A. What is the minimal height (h) for which the block reaches the top of the semicircle, point D? B. For the minimal height calculated in Part (a), what is the speed at point C? Please answer both A and B.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.