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A roller coaster cart with a mass of 116 kg is originally moving at 22 m/s at a height of 24 meters above the ground on a frictionless hill (approximated by an incline which is fricitonless). At the bottom of the hill is a horizontal surface which has friction. The length of this surface is unknown, but its coefficient of kinetic friction is 0.59. After this surface, is a frictionless circular loop with a radius of 5.4 meters. At the top of the of loop, the cart is moving at a speed such that the normal force's magnitude on the cart is 3.3 times the weight of the cart. What is the length of the horizontal surface which had friction at the bottom of the hill in meters?
7.84 g of argon gas at an initial pressure of 4.34 atm and at 16°C undergo an isobaric expansion until the volume has increased in five times. What is the volume of the gas after expansion
What is the greatest distance foot of the ladder can be placed from the base of the wall without the ladder immediately slipping.
An object moves along the x axis according to the equation x = 3.85t2 ? 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 2.80 s and t = 4.60 s.
If f8 and 1/125 s gives the proper exposure, what f-stop number should be used with 1/500 s under the same light conditions
A door, essentially a uniform rectangle of height 2.00 m, width 0.83 m, and weight 109.0 N, find the horizontal components of the forces on the two hinges
The current in a long solenoid of 95 turns generates a magnetic flux within it of 65.0 mWb per turn. what will be the induced emf
In a game of basketball, a forward makes a bounce pass to the center. What horizontal distance does the ball cover before bouncing
The mass of a copper atom is 1.06 x10^25 kg, and the density of copper is 8 920 kg/m3. Find the edge dimension of each cube
As a bowling ball of radius 14.0 cm rolls down the alley to the right, a frictional force of magnitude 1.22 N, Find the frictional torque with respect to an axis through the center of the ball
A 0.030 kg lead bullet hits a steel plate, both initially at 20?C. The bullet melts and splatters on impact. How much heat is required to increase the temperature of the lead bullet and melt it
A 12.0-V battery remains connected to a parallel plate capacitor with a plate area of 0.284m2 and a plate separation of 4.14mm, What is the store energy in the capacitor
An object is placed 5 cm in front of a concave lens of focal length 7 cm. Find the image location by drawing a ray tracing diagram to scale
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