A car driving around a circular track has a centripetal acceleration of 97 m/s2 until it hits a slick spot and slides straight off the track. If the radius of the track is 61 m, what is the car's speed v when it leaves the track?
Q: A ball whirls around on the end of a string, moving in a circle at a constant speed of 3.0 m/s. If…
A: The radius of the circle is,
Q: A car drives straight off the edge of a cliff that is 67.4 m high. The police at the scene of the…
A: Time taken by car to reach at ground is as follows; t=2hg…
Q: What is the average centripetal acceleration of a car travelling at 20 meters/second on a circular…
A: We know that centripetal acceleration is, ac= (v2÷r) where, v = linear velocity and r = radius…
Q: A basketball starts from rest and accelerates with an acceleration of 0.395 m/s2 while moving down a…
A:
Q: A ball whirls around on the end of a string, moving in a circle at a constant speed of 3.0 m/s. If…
A:
Q: A motorboat travels along a circular path with the radius equal to 50m. It starts from rest and…
A: Solution:-Given thatRadius of circular path (R)=50 mStarts from rest i.e. initial speed (u)=0Speet…
Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…
A:
Q: A car traveling at 20 m/s follows a curve in the road so that its centripetal acceleration is 5…
A: Given The velocity of the car is v=20 m/s. The centripetal acceleration of a car is a=5 m/s2. The…
Q: A car traveling at 20 m/s runs out of gas while traveling up a 9.0 slope. Part A How far will it…
A: Please see the answer below
Q: A car goes around a curve at 40 m/s. An accelerometer in the car measures the centripetal…
A: The velocity of the car is v=40 m/s. The centripetal acceleration is ac=8 m/s2.
Q: A 17 kg car travels in a flat circle. At a certain instant, the velocity of the car is 18 m/s west…
A:
Q: The length of the arc is 250 meters, and the time to turn is 37 seconds. Calculate the x-component…
A: PART A) Length of arc is L = 250 m Time to turn is t = 37 s Angle from A to B is 69 degrees…
Q: An amusement park ride consists of a car which takes riders through a vertical loop at a constant…
A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you…
Q: ar exits the highway at 20.0 m/s and enters a 220 m radius curve. After breaking uniformly for 6.00…
A: Centripetal acceleration = v2 /r
Q: A car drives around a curve with radius 150 m at a speed of 30 m/s. What is its average acceleration…
A: a) 180degree or 3.14radian the expression to determine the distance,
Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…
A: Given: Radius of circular path, r=1.33 m Centripetal acceleration, αcp=4.8 g m/s2 To find: Spinning…
Q: To Merge into the highway you need to increase your speed from 50 km/h to 100 km/h. If your car can…
A:
Q: Spring Gun: A spring gun can launch a projectile with a speed of 12.21 m/s 1.8m high, and the…
A:
Q: A car moving along a straight horizontal road accelerates fromn a speed of 10 m/s to a speed of 30…
A: Solution: given that u = 10 m/s v = 30 m/s distance s = 133 m
Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…
A: Radius , R = 3.37 m centripetal acceleration , a = 2.5 g To find = spinning speed in rpm
Q: A car goes around a curve of radius R at constant speed V. Then it goes around a curve of radius R/2…
A: Given : Radius of the first curve= R; speed = V; Radius of the second curve = R/2; speed of the…
Q: Modern roller coasters have vertical loops like the one shown in the figure. The radius of curvature…
A:
Q: A ball thrown vertically upward reaches a maximum height of 30. metres above the surface of Earth.…
A: The question is asking for the speed of a ball at its maximum height when it is thrown vertically…
Q: Modern roller coasters have vertical loops like the one shown in the figure. The radius of curvature…
A:
Q: An astronaut is exploring a planet which has a gravitational acceleration of only 5.59 m/s2. If the…
A: Given data The initial velocity is given as u = 13.7 m/s. The acceleration applied on the ball is…
Q: A motorcycle stunt driver does a canyon jump stunt. If the canyon is 100 m wide, will a launch speed…
A: Speed ( u ) = 75 mph Angle ( θ ) = 45° Given Range ( RGiven ) = 100 meter
Q: A person swings a rock around on a string, causing it to sweep out in a circle of radius 0.53 m. If…
A: For the given case, Acceleration experience by rock due to uniform circular motion is known as…
Q: A certain bump in the road is notorious for letting hot-rodders do a little jump and “get some air”…
A: The expression for the required speed of the car, v=gr
Q: (a) What is the speed of the ball at the bottom of the first plane (in m/s)? (Round your answer to…
A: Given data: The initial velocity of the volleyball is, u = 0 m/s Acceleration of the volleyball is,…
Q: A ball is tied to the end of a string and swung around overhead. The 0.05 kg ball makes a complete…
A:
Q: A stunt rider on a motorcycle rides around a large, vertical loop with a radius of 19 m. How fast…
A:
Q: Formula One race cars are capable of remarkable accelerations when speeding up, slowing down, and…
A: The centripetal acceleration's approximate magnitude, measured in units of g, must be ascertained.
A car driving around a circular track has a centripetal acceleration of 97 m/s2 until it hits a slick spot and slides straight off the track.
If the radius of the track is 61 m, what is the car's speed v when it leaves the track?
When performing a circular motion, a centripetal force acts on the object, which acts radially inwards towards the center of the circle.
This centripetal force produces a centripetal acceleration on the body, given as
From the given problem,
Step by step
Solved in 3 steps
- 5A runner completes one lap around a circular track with at a time 272 s at a constant speed of 3.1 m/s.What is the radius in meters of the track? r = ?Here are a couple acceleration problems. Acceleration isn't necessarily constant. These problems will be pure math problems, meaning that we won't use units. a(t) = dv/dt = 38 cos(3t) v(t) = dx/dt, v(0) = -4, and x(0) = 8 Calculate v(8). The argument of the cosine function is in radians.
- Gravitational acceleration is 5.13 m/s2. Object is thrown upward with a velocity of 13.3 m/s. What is the maximum height reached by the object?Santa loses his footing and slides down a frictionless, snowy roof that is tilted at an angle of 27.0 degrees. If Santa slides 10.0 m before reaching the edge, what is his speed as he leaves the roof?You go where no one has gone before and discover an interesting planet of radius r. When you arrive, you clearly want to do some experiments to learn more about this world. You begin with some simple kinematics and measure the time t for an object thrown directly up with velocity vi to return to your hand. With this information, you find that the acceleration due to gravity gi s much lower than on Earth. a) You decide to orbit the planet in your spacecraft at a distance Rabove the surface of the planet. Find the time required to complete one orbit in terms of R, r, vi, t, and any necessary constants. b) FInd the escape velocity ve–the initial velocity necessary for an object to barely escape the gravitational pull of the planet. Express your answer in terms of vi, r, t,and any necessary constants. c) Find the distance from the planet’s center at which an object launched from the surface with velocity vwill have lost 90% of its initial kinetic energy at the surface in terms of v,vi, r,…
- An object with a mass of 2,000 kg moves with a constant speed of 20 m/s on a circular track with a radius of 100 m. What is the magnitude of the acceleration of the object in m/s2?A typical carnival Ferris wheel has a radius of 9.0 [m] and rotates 4.0 times per minute. What is the acceleration that the riders experience?An ant is in a corner of the ceiling in a cube-shaped room when it notices that someone has spilled honey on the floor in the opposite corner of the room. The ant can walk on the ceiling, floor, and walls of the room, but it cannot fly or fall. If the room has a 3m edge, what is the length of the shortest path the ant can take to reach the honey?
- Mr. M is a professional race car driver. The race track he is about to drive on has a curve that is designed so that the smallest circular curve he can take has a radius of 112m and the biggest circular curve he can take has a radius of 165m. The height of the outer wall of the track is 18m. The race is happening after a snow storm, so he is assuming there is no friction. What is the fastest speed he can safely take this corner?At the equator, the radius of the Earth is approximately 6370km. A jet flies at a very low altitude at a constant speed of v=222m/s. Upon landing, the jet can produce an average deceleration of magnitude a=16.5m/s2 What is the minimum landing distance, in meters, this jet needs to come to rest? Assume that, when the jet initially touches the ground, it is moving at the same speed as it was when it was flying.Figure out the acceleration due to gravity ( g ) on various hypothetical alien planets. On planet #2, you launch a projectile straight up from the ground at a speed of 27.9 m/s. The projectile reaches a maximum height of 75.5 m before falling back to the ground. What is the value of g for planet #2?