Bissoy.com
Doctors Medicines MCQs Q&A

A car is sliding down freely on an inclined plane with acceleration ‘a’ without any external force, now if we consider the plane to be frictional less then which of the following statement is correct

A car is sliding down freely on an inclined plane with acceleration ‘a’ without any external force, now if we consider the plane to be frictional less then which of the following statement is correct Correct Answer The rate at which the car is acceleration will only depend on acceleration due to gravity and angle of inclined.

CONCEPT:

Friction Force: It is a kind of resisting force that acts between two contact bodies to avoid relative motion between them.

  • It is formed due to the close interaction of charged particles at the surface of the bodies due to electromagnetic forces.
  • Mathematically it is represented as Friction force = μ N.
  • Where N = normal force = m × g
  • Normal force: It is a force that is exerted by the surface perpendicular to the body. It is a component of the contact force.

 

[ alt="F1 J.S 18.5.20 Pallavi D 1" src="//storage.googleapis.com/tb-img/production/20/05/F1_J.S_18.5.20_Pallavi_D%201.png" style="width: 301px; height: 146px;">

Explanation:

  • From the given condition if a car was sliding down on an inclined frictionless plane, its Freebody diagram can be represented as given below

[ alt="F3 J.S Madhu 22.05.20 D2" src="//storage.googleapis.com/tb-img/production/20/05/F3_J.S_Madhu_22.05.20_D2.png" style="width: 193px; height: 189px;">

  • In this, we can see that the rate at which car can acceleration freely will be directly proportional to sin component of acceleration due to gravity

          i.e., a = g sin θ

  • This means that the acceleration of the car will only depend on acceleration due to gravity and the angle of inclination of the given plane.

Here,

a = acceleration of the car

g = acceleration due to gravity

θ = angle of inclination

Related Questions

Three cars start from point A together and reach point B at equal intervals. Second car whose sped is less than third car but more than first car taken a u turn and starts its journey towards A whereas third car heads for point C which is 100 km away from point B. First car and third car meet each other at mid way of A and C after third car takes u turn from C. First car travels half the distance between A and B when second reaches B. The sum of speed of second car and third car is 100 kmh.  What is the difference between speed of third car and first car?
Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. If the bus is travelling from Surat to Ahmadabad and a car is travelling from Ahmadabad to Surat, then what is the distance between Surat and Ahmadabad? I. The speed of a car is 40% less than the speed of bus. Bus started at 9 am and car started at 10 am and they meet at 3 pm of the same day. II. After travelling for 1 hour, because of traffic average speed of bus is decreased by 20% and covers distance between Surat to Ahmadabad in 11 hours. Original speed of car is 20% less than original speed of bus and before crossing bus it covered 200 km if starts 1 hour later than bus. After crossing car, bus covers remaining distance in 5 hours. III. Speed of bus is 10 km/hr more than the speed of car and before crossing car ratio of distances covered bus and car in same time was 5 : 4. Time taken by car to cover the distance between Ahmadabad and Surat is 2 hours 15 minutes more than time taken by bus to cover the same distance.
Seven people A, B, C, D, E, F and G live on separate floors of a 7-floor building. Ground floor is numbered 1, first floor is numbered. 2 and so on until the topmost floor is numbered 7. Each one of these having a different cars-Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo but not necessarily in the same order. Only three people live above the floor on which A lives. Only one person lives between A and the one having a car Cadillac. F lives immediately below the one having a car Bedford. The one having a car Bedford lives on an even-numbered floor. Only three people live between the ones having a car Cadillac and Maruti. E lives immediately above C. E is not having a car Maruti. Only two people live between B and the one having a car Fargo. The one having a car Fargo lives below the floor on which B lives. The one having a car Fiat does not live immediately above D or immediately below B. D does not live immediately above or immediately below A. G does not have a car Ambassador. Question : How many people live between the floors on which D and the one having a car Bedford ?
Which of the following is NOT true about Frictional force? A. Friction is the force which opposes the relative motion of two surfaces in contact. B. The force of friction that acts when a body is moving (sliding) on a surface is called sliding friction. C. Friction in machines wastes energy and also causes wear and tear. D. Rolling friction is much more than sliding friction, the use of ball bearings in a machine considerably reduces friction.
A company sold six different cars Swift, Santro, Creta, Audi, I10 and Magna during a period of Monday to Saturday. Only one car was sold on a particular day. No car was sold twice. Atleast four cars were sold after the car Santro. The car Magna was sold on Tuesday. The car Audi was sold immediately after the car Creta and car Creta was sold atleast before three cars. Both the cars Santro and I10 were sold atleast before one car. On which day was Swift car sold?
Five friends A, B, C, D and E bought cars which were priced differently. B's car was costlier than C's car but was less costly than E's car. A's car was costlier than D's car but less costly than C's car. Whose car was the 2nd costliest?
Consider the following statements.  A. It is easier to walk on a smooth surface.  B. A ball will fall easily over a rough inclined plane compared to a smooth one. C. Frictional force opposes the relative motion.  D. Frictional force depends upon the surface.  Which of the above statements are correct?
Some friends are traveling in a car. They were halfway to their destination before the car broke down. Now they have to push the car to reach the closest repairing shop. If 3 boys pushed the car they reach the shop in 4 hours and if 5 girls push the car then they reach the shop in 7.2 hours. How long will it take if the 2 boys and 4 girls push the car together?
The elastic potential energy of a body is
1. Work done by the external force against the deforming force.
2. Work done against the external force by the deforming force.
3. The sum of work done by the external force and the deforming force.
Which one option is true?
This are the following statements given regarding satellite’s motion a. A satellite in geostationary orbit lies in the same plane with equator b. A satellite in geosynchronous orbit lies in the same plane with equator c. A satellite in geostationary orbit does not lie in the same plane with equator, it is inclined at some angle from plane of equator d. A satellite in geosynchronous orbit does not lie in the same plane with equator, it is inclined at some angle from plane of equator Choose one of the following options