A boy shoves his stuffed toy zebra down a frictionless chute. It starts at a height of 1.83 m above the bottom of the chute with an initial speed of 1.65 m/s. The toy animal emerges horizontally from the bottom of the chute and continues sliding along a horizontal surface with a coefficient of kinetic friction of 0.203. How far from the bottom of the chute does the toy zebra come to rest? Assume g = 9.81 m/s².
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- A skier starts from rest at the top of a hill that is inclined at 11.0° with respect to the horizontal. The hillside is 220 m long, and the coefficient of friction between snow and skis is 0.0750. At the bottom of the hill, the snow is level and the coefficient of friction is unchanged. How far does the skier glide along the horizontal portion of the snow before coming to rest?The 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°A student is skateboarding down a ramp that is 5.02 m long and inclined at 23.6° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 2.34 m/s. Neglect friction and find the speed at the bottom of the ramp.
- A heavy ball with a weight of 150 N (m = 15.3 kg) is hung from the ceiling of a lecture hall on a 4.6-m-long rope. The ball is pulled to one side and released to swing as a pendulum, reaching a speed of 5.6 m/s as it passes through the lowest point. What is the tension in the rope at that point?A ski jumper starts from rest 42.0 m above the ground on a frictionless track and flies off the track at an angle of 45.0° above the horizontal and at a height of 10.5 m above the ground. Neglect air resistance. (a) What is her speed when she leaves the track? (b) What is the maximum altitude she attains after leaving the track? (c) Where does she land relative to the end of the track?Multiple-Concept Example 5 reviews many of the concepts that play a role in this problem. An extreme skier, starting from rest, coasts down a mountain that makes an angle of 32.5° with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.244. She coasts for a distance of 12.3 m before coming to the edge of a cliff. Without slowing down, she skis off the cliff and lands downhill at a point whose vertical distance is 3.67 m below the edge. How fast is she going just before she lands? Number i eTextbook and Media Save for Later Units Attempts: 0 of 5 used Submit Answer
- An extreme skier, starting from rest, coasts down a mountain that makes an angle of 35.3 ° with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.115. She coasts for a distance of 18.5 m before coming to the edge of a cliff. Without slowing down, she skis off the cliff and lands downhill at a point whose vertical distance is 4.32 m below the edge. How fast is she going just before she lands?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 heavy ball with a weight of 150 N (m = 15.3 kg) is hung from the ceiling of a lecture hall on a 4.6-m-long rope. The ball is pulled to one side and released to swing as a pendulum, reaching a speed of 5.6 m/s as it passes through the lowest point. What is the tension in the rope at that point?
- A student is skateboarding down a ramp that is 6.02 m long and inclined at 22.3° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 4.98 m/s. Neglect friction and find the speed at the bottom of the ramp.You are driving your car on a straight road with a coefficient of friction between the tires and the road of 0.55. A large piece of debris falls in front of your view and you immediate slam on the brakes, leaving a skid mark of 30.5 m (100-feet) long before coming to a stop. A policeman sees your car stopped on the road, looks at the skid mark, and gives you a ticket for traveling over the 13.4 m/s (30 mph) speedlimit. Draw the FBD of the car with complete details.A block is launched up a 3.75 m high frictionless inclined plane (0 = 35.0°) with an %3D initial speed of vo = 12.5 m/s as shown in the figure below. (a) What is the block's %3D speed as it leaves the ramp? (b) How far from the base of the ramp does the block land? (Air resistance is negligible) Vo=12.5 m/s 3.75 m 0= 35.0° X= ?