Determine the radius R of the hill

1. A stopwatch starts while race car travels at 7 m/s from the pit area and accelerates at a uniform rate to a speed of 37 m/s in 16 s moving on a circular track of radius 514 m. Assuming constant tangential acceleration, find (a) the tangential acceleration, and (b) the radial acceleration,at the instant when the speed is v = 16 Once you have both of those ... find the magnitude of a at any moment 2. A stopwatch starts while race car travels at 12.0 m/s from the pit area and accelerates at a uniform rate to a speed of 24 m/s in 7 s moving on a circular track of radius 540 m. Assuming constant tangential acceleration, find (a) the tangential acceleration, and (b) the radial acceleration,at the instant when the speed is v = 10 Once you have both of those ... find the magnitude of a at any moment 3. A stopwatch starts while race car travels at 10 m/s from the pit area and accelerates at a uniform rate to a speed of 39 m/s in 2 s moving on a circular track of radius 463 m. Assuming…

13. A skier/snowboarder starts at rest at the top of a snowy (friction-free) hill with height h₁. After the bottom of this hill there is a small "jump" hill. The top of the jump has height h, and a curvature of radius R. What is the minimum height of the starting hill, himin, so that the skier/snowboarder jumps or "catches air" at the top of hill 2? Solve for himin in terms of h₂, R, and g. Hint: if the skier/snowboarder jumps, he/she/they loose contact with the snowy ground. h₁ to jump!

A Car rounds a circular hill with a radius of 50m. What is the maximum speed the car can go over the hill without losing contact with the ground?

George swings a ball around him, in uniform circular motion.  The circle's radius is r.  George inadvertently releases the string, and the ball goes outward.  He catches the string again, and now the ball goes around him at a new rotation rate, with a new radius r + Δr.  Calculate the new rotation rate (in rev/s). r = 3.0 m Δr = 1.0 m Original rotation rate = ωi = 1.1 rev/s The ball's mass is m = 160 grams

A car sits at rest at the starting line of a circular racetrack. It begins to accelerate at a constant rate (that 15, a constant angular acceleration) as it makes Its way halfway around the track. It then decelerates at the same constant rate during the second halt of the lap. It completes the entire lap in a time of 28.5 seconds. Also, the radius of the racetrack is 42.0 m. What is the car's top speed?A) 25.6 m/SB) 44.1 m/SC) 18.5 m/sD) 35.1 m/s

A military jet is flying at 268 m/s in a tight circular turn. If the military jet reaches a centripetal acceleration of 10.0 times the free-fall acceleration, what must the radius of its turn be?

A car travels at a constant speed around a circular track whose radius is 2.92 km. The car goes once around the track in 260 s. What is the magnitude of the centripetal acceleration of the car?

An astronaut orbiting the Earth is preparing to dock with a Westar VI satellite. The satellite is a circular orbit 500 km above the Earth's surface, where the free-fall acceleration is 8.11 m/s2. Take the radius of the Earth as 6400 km. Determine the speed of the satellite. m/s Determine the time interval required to complete one orbit around the Earth, which is the period of the satellite. min

1. A stopwatch starts while race car travels at 13 m/s from the pit area and accelerates at a uniform rate to a speed of 37 m/s in 5 s moving on a circular track of radius 548 m. Assuming constant tangential acceleration, find (a) the tangential acceleration, and (b) the radial acceleration,at the instant when the speed is v=7 Once you have both of those…. find the magnitude of a at any moment a= 2. A stopwatch starts while race car travels at 5 m/s from the pit area and accelerates at a uniform rate to a speed of 23 m/s in 16 s moving on a circular track of radius 466 m. Assuming constant tangential acceleration, find (a) the tangential acceleration, and (b) the radial acceleration,at the instant when the speed is v=15 Once you have both of those …. find the magnitude of a at any moment a= 3. A stopwatch starts while race car travels at 7.0 m/s from the pit area and accelerates at a uniform rate to a speed of 22 m/s in 3 s moving on a circular track of radius 491 m. Assuming constant…