A car of mass 1000 kg takes a bend of radius 50 m at 10 m per second. The centripetal force needed is
Correct answer: B. 2000 N
- A. 200 N
- B. 2000 N
- C. 5000 N
- D. 10000 N
Explanation
The force is mv squared over r, which is 1000 times 100 divided by 50, giving 2000 N. On a level road this force must come from friction between the tyres and the surface, so if the required force exceeds the maximum friction available the car skids outwards. Doubling the speed would quadruple the force, which is why bends are so much more dangerous at speed.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? support@testustad.com
About Angular and Linear Quantities
Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
Practise Rotational and Circular Motion
521 free Rotational and Circular Motion MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Angular and Linear Quantities questions
The centripetal acceleration of a body moving in a circle of radius r with speed v is
The relationship between linear speed v and angular speed omega for a body moving in a circle of radius r is
For a car to take a banked curve safely without relying on friction, the correct banking angle depends on
A satellite in a circular orbit around the Earth is held in orbit by
A geostationary satellite must have an orbital period of
A stone is whirled in a horizontal circle on a string. If the string suddenly breaks, the stone will