Home
Class 11
PHYSICS
A point P moves in counter-clockwise dir...

A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of P is such that it sweeps out a length `S=t^3+5`, where S is in metres and `t` in seconds. The radius of the path is 20 m. The acceleration of P, when `t=2 s` is nearly
.

A

`7.2 m s^(-2)`

B

`12 m s^(-2)`

C

`13 m s^(-2)`

D

`14 m s^(-2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Centre of mass

    MODERN PUBLICATION|Exercise Exercise|30 Videos

  • Dynamics of Circular Motion

    MODERN PUBLICATION|Exercise Exercise|81 Videos

Similar Questions

Explore conceptually related problems

A car moves a circular path of radius 20 m in 50 s with a uniform speed. Find the speed.

A particle is moving in a straight line such that its displacement s at an instant of time t is given by the relation s = 3t^2 + 4 t + 5 Find the initial velocity of the particle.

A cyclist starats from centre O of a circular park of radius 1 km and moves along the path OPRQO as shown in the figure.If he maintains constant speed of 10 ms^(-1) , what is his acceleration at point R in magnitude and direction?

The magnetic flux passing perpendicular to the plane of the coil and directed into the paper is varying according to the relation phi=6t^2 +7t+1 Where phi is in milliweber and t is in seconds. what is the magnitude of e.m.f. induced in the loop when t=2s?

A particle executing circular motion of radius 5 m and linear speed of 3 ms^-1 which is increasing at the rate of 2 m s^-2 .What is the acceleration of the particle?

The radius of a cylinder is increasing at the rate of 2m/s. and its altitude is decreasing at the rate of 3m/s. Find the rate of change of volume when radius is 3 metres and altitude is 5 metres.

Two long parallel wires carrying current 2.5 amperes and I ampere in the same Idirection ( directed into the plane of the paper) are held at P and Q respectively such that they are perpendicular to the plane of paper. The points P and Q are located at a distance of 5 metres and 2 metres respectively from a collinear point R ( see figure) An electron moving with a velocity of 4xx10^(5) m//s along the positive x- direction experiences a force of magnitude 3.2xx10^(-20) N at the point R. Find the value of I.

A circle arc of radius 1 subtends an angle of x radians as shown in figure. The centre of the circle is O and the point C is the intersection of two tangent lines at A and B. Let T(x) be the area of DeltaABC and S(x) be the area of shaded region. lim_(xto0)(S(x))/x is

A uniform but time-varying magnetic field B(t) exists with in a circular region of radius a and is directed in to the plane of the paper as shown in the figure. The magnitude of the induced electric field at the point P at a distance r from the centre of the circular region

MODERN PUBLICATION-Competitive Exam Question-Exercise
  1. An annular ring with inner and outer radii R1 and R2 is rolling withou...

    Text Solution

    |

  2. The minimum velocity (in m s^(-1)) with which a car driver must traver...

    Text Solution

    |

  3. A point P moves in counter-clockwise direction on a circular path as s...

    Text Solution

    |

  4. For a particle in circular motion, the acceleration veca at a point (R...

    Text Solution

    |

  5. A ball is dropped from a spacecraft revolving around the earth at a he...

    Text Solution

    |

  6. 10 N force applied on a body produces in it an acceleration of 1 m s^(...

    Text Solution

    |

  7. A force of 6 N acts on a body of mass 1 kg and at rest. During this ti...

    Text Solution

    |

  8. A particle of mass m is projected with velocity v making an angle of 4...

    Text Solution

    |

  9. A force vector applied on a mass is represented as vecF=6hati-8hatj+10...

    Text Solution

    |

  10. An object of mass 3 kg is at rest. Now a force of vecF=(6t^2hati+4t ha...

    Text Solution

    |

  11. If the force on a rocket moving with a velocity of 300 m s^(-1) is 210...

    Text Solution

    |

  12. A cricket catches a ball of mass 150 g in 0.1 s moving with a speed of...

    Text Solution

    |

  13. A 0.5 kg ball moving with a speed of 12 m s^(-1) strikes a hard wall a...

    Text Solution

    |

  14. A 3 kg ball strikes a heavy rigid wall with a speed of 10 m s^(-1) at ...

    Text Solution

    |

  15. Three forces acting on a body are as shown in figure . To have the res...

    Text Solution

    |

  16. A mass of 1 kg is suspended by a thread. It is lifted up and them lowe...

    Text Solution

    |

  17. A mass of 1 kg is suspended by a thread. It is lifted up and them lowe...

    Text Solution

    |

  18. A man weighs 80 kg. He stands on a weighing scale in the lift, which i...

    Text Solution

    |

  19. A lift of mass 1000 kg is moving with an acceleration of 1 m s^(-2) in...

    Text Solution

    |

  20. The mass of a lift is 2000 kg. When the tension in the supporting cabl...

    Text Solution

    |