On a highway curve with radius 54 m, the maximum force of static friction (centripetal force) that can act on a 1,173-kg car going around the curve is 8,127 N. What speed limit should be posted for the curve so that cars can negotiate it safely?

Q: A roller-coaster at a theme park is designed so that a 70 kg rider in a car at the top of a circu…

A: Given: The speed of the car at the top of the loop, v=10 m/s. The radius of the loop r=20 m. Mass…

Q: A child is twirling a 0.0273-kg ball on a string in a horizontal circle whose radius is 0.125 m. The…

A: Mass of the ball, m = 0.0273 kg. Radius of rotation, R = 0.125 m. Time period, T = 0.409 s.   To…

Q: A 429 kg roller coaster is at the bottom of a loop with a radius of 10m. If the speed at the bottom…

A: In circular motion,  Net force = centripetal force (mv^2/r)  V = speed at that point R = radius M =…

Q: Imagine a Ferris wheel that rotates three times each minute and has diameter of 19.4m. a) What is…

A:

Q: An object on an inclined plane has a gravitational force of magnitude of N acting on it from the…

A: Given:Force,F=10NAngle,θ=36.9°Now, The angle that the weight makes with the slope=36.9° The…

Q: A 359 kg roller coaster is at the bottom of a loop with a radius of 10m. If the speed at the bottom…

A: Newton's second law is a quantitative description of the changes that a force can produce on the…

Q: Review Example 5, which deals with the bobsled in Figure 5.5. Also review Conceptual Example 4. The…

A: Mass of the sled and its two riders = m = 322 kgSpeed of the sled = v = 34 m/sRadius of the first…

Q: An engineer is trying to determine the speeds at which she can swing a 400kg wrecking ball without…

A:

Q: How much force does the seat push up on a 80kg pilot as he pulls out of a vertical loop of radius…

A: Given data-                     pilot mass (m) = 80 Kg                   loop radius (r) = 310 m…

Q: circle in 0.500 s. (a) Determine the centripetal force acting on the ball. (b) If the speed is…

A:

Q: A cylindrical space station is 531 m in diameter. It rotates in order to create artificial gravity…

A: Diameter of the space station, (d)= 531 m The centripetal acceleration is (ac)=2.5 g Where, g=The…

Q: A roller coaster goes inverted around a loop. The radius of curvature of the track is 8.0m. If a…

A:

Q: The moon orbits the earth at a distance of 3.84 x 10^8 m with a tangential speed of 1 km/s. If the…

A: Given, Distance between earth and moon orbit (R)= 3.84×108 m  Tangential speed of moon (v)= 1km/s…

Q: A child is swinging a 380-g ball at the end of a 71.0-cm-long string in a vertical circle. The…

A: The mass of the ball is M=380 g=380×10-3 kg Assume the acceleration due to gravity of Earth as…

Q: An engineer is trying to determine the maximum speed at which a 900kg car can travel around the…

A: When the car moves in the circular track then an inward force will act on it. So the number of…

Q: A 3500 g car enters a curve with a radius of 45 cm. If the car is moving at a speed of 25 m/s, what…

A: Centripetal force =mv2R

Q: A ball of 0.145 is tied to a 50 cm rope and begins to spin in a horizontal circle. Determine (a)…

A:

Q: Problem 7: A satellite is traveling around a planet in a circular orbit with radius R. It in a…

A: Given Speed v = 1.04 × 104 m/s Mass of planet M = 5.96 × 1024 kg Mass of satellite m = 2.2 × 103 kg

Q: A 60 kg Gila monster on a merry-go-round is traveling in a circle with a radius of 1.3 m at a speed…

A: Given data:  Mass (m) = 60 kg Radius (r) = 1.3 m Speed (v) = 2 m/s Required: The acceleration

Q: A roller-coaster track is set with hills and valleys as shown in the figure. A roller-coaster car…

A: Here,  we need to answer which force is needed for the car to stay on the circular path.

Q: Superman (m= 50 kg) is running to save the day! He needs to reach the top of a circular curve (R= 5…

A: Given:Mass of Superman: mS=50 kgMass of sled: msled=5 kgRadius of curve: R=5 mDistance from the…

Q: NASA’s Dawn spacecraft is scheduled to reach the asteroid Ceres in February of 2015. Ceres is the…

A:

Q: fond the magnitude of the frictional force between the tire and the track in the unit N.

A:

Q: You tie one end of 0.3-m-long spring to a 0.5 kg mass. Holding the other end of the spring in your…

A:

Q: It took a 900 kg racing car 12.3 seconds to travel at uniform speed around a circular racetrack of…

A: Mass of vehicle is Time is Radius of circular track is Note:Find:(a) Centripetal acceleration.(b)…

Q: A1590 kg car travels around a circular track at 26.5 m/s. If the track has a diameter of 180 m,…

A: mass of car m=1590 kg Speed of car v = 26.5m/s Diameter of track  d = 180 m

Q: A satellite travels around Earth in uniform circular motion, at a height of 35,800 km above Earth's…

A: Gravitational force between two masses is given by,        F = GMmr2  Here,         G is the…

Q: You are speeding around a turn of radius 70.0 m at a constant speed of 18.0 m/s. Assuming your mass…

A: Radius r = 70.0 m Speed v = 18.0 m/s Mass m = 75.0 Kg

Q: An Indianapolis 500 race car takes a 350 m radius curve at 80 m/s. (a) What centripetal acceleration…

A:

Q: A student of mass M = 98 kg takes a ride in a frictionless loop-the-loop at an amusement park. The…

A:

Q: A 0.6 kg ball moves in a vertical circle on a 1m long string. If the speed at the top is 3.80 m/s,…

A: The weight of the ball is calculated as, W=mgW=0.6 kg9.8 m/s2W=5.88 N (a) The Tension in the string…

Q: A 48 kg merry-go-round worker stands on the ride’s platform 6 m from the center. If her speed as she…

A: Given :- mass of worker m =48 kg  Radius of circle r = 6 m  Speed of worker v = 5 m/s

Q: A 2.00kg mass is swung on the end of a 1.20m long rope at a speed of 3.00m/s. What is the…

A:

Q: A satellite travels around Earth in uniform circular motion, at a height of 35,800 km above Earth's…

A: Here, we calculate the given as follow;

Q: A bowling ball (mass = 7.4 kg, radius = 0.11 m) and a billiard ball (mass = 0.37 kg, radius = 0.028…

A: mass of bowling ball (M) = 7.4 kg radius of bowling ball (R) = 0.11 m Mass of billiard ball (m) =…

Q: space probe is launched from Earth headed for deep space. At a distance of 10,000 miles from Earth's…

A: Given, a space probe is launched from Earth headed for deep space. At a distance of r1=10,000 miles…

Q: A 20kg block and a 2kg block are falling with no air resistance. What is the gravitational force on…

A: Gravitational force is the attractive force acting between two objects having mass.It acts along the…

Q: A 2,191 kg roller coaster cart goes 14.97 m/s at the top of a vertical circular loop of 20 m radius.…

A: Analyze the free body diagram of the cart. From the above diagram, it can be observed that the…

Q: (c) When the ball is at the top of the swing, what is the direction of the acceleration of the ball?…

A: Required : The direction of the acceleration at the top of the circle.

Q: the magnitude of the centripetal force acting on the car

A:

Q: A car is moving on a banked curve at a speed v. A car is moving on a circular (radius= R) banked…

A: In banking of road, a component of normal force will act as centripetal force. Drawing free body…

Q: A communications satellite orbits around Earth. Earth has a radius of 6380 km, and the satellite…

A: Given data- Radius of earth R=6380 km      =6.38×106 m Height of the satellite from the surface of…

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.