Home
Class 12
PHYSICS
There are two forces on the 2.00 kg box ...

There are two forces on the 2.00 kg box in the overhead view of Fig. 5-38, but only one is shown. For `F_(1)=20.0N,a=12.0" m"//"s"^(2)`, and `theta=30.0^(@)`, find the second force (a) in unit-vector notation and as (b) a magnitude and ( c ) an angle relative to the positive direction of the x axis.

Text Solution

Verified by Experts

(a) `(-32.0N)hati-(20.8N)hatj,` (b) 38.2N, ( c ) `-147^(@)`
Promotional Banner

Topper's Solved these Questions

  • FORCE AND MOTION - I

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Single Correct Choice Type)|36 Videos

  • FORCE AND MOTION - I

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (More than One Correct Choice Type)|5 Videos

  • FORCE AND MOTION - I

    RESNICK AND HALLIDAY|Exercise CHECKPOINT|5 Videos

  • FLUIDS

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Integer Type )|5 Videos

  • FORCE AND MOTION-II

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Integer Type)|1 Videos

Similar Questions

Explore conceptually related problems

Three astronauts, propelled by jet backpacks, push and guide a 120 kg asteroid toward a processing dock, exerting the forces shown in Fig. 5-37, with F_(1)=32N,F_(2)=55N,F_(3)=41N, theta_(1)=30^(@) , and theta_(3)=60^(@) . What is the asteroid's acceleration (a) in unit-vector notation and as (b) a magnitude and (c) a direction relation relative to the positive direction of the x axis ?

For the vector veca = (3.0 m) hati + (4.0m) hatj and vecb = (5.0 m) hati + (-2.0 m) hatj, give veca + vecb in (a) unite-vector notation, and as (b) a magnitude and (c ) an angle (relation to hati ). Now give vecb -veca in (d) unit vector notation, as (e) a magnitude and (f) an angle.

In an xy plane, a 0.450 kg object moves is such a way that x(t)=-16.0+3.00t-5.00t^(3) and y(t)=26.0+8.00t-10.0t^(2) , where x and y are measured in meters and t in seconds. At t = 0.800 s, find (a) the magnitude and (b) the angle, relative to the positive direction of the x axis, of the net force on the object, and ( c ) the angle of the object's travel direction.

The two vectors veca and vecb have equal magnitudes of 10.0 m and the angles are theta_(1) = 30^(@) and theta _(2) = 105 ^(@). Find the (a ) x and (b) y components of their vector sum vecr, (c ) the magnitude oof vecr makes with the positive direction of the x axis.

In part a of Fig , a surfer rides on the front side of a wave , at a point where a tangent to the wave has a slope of theta = 30.0^(@) . The combined mass of surfer and surfboard is m = 83.0 kg , and the board has a submerged volume of V = 2.50 xx 10^(-2) m^(3) . The surfer maintains his position on the wave as the wave moves at constant speed toward shore . What is the magnitude and direction (relative to the positive direction of the x-axis in part b of Fig) of the drag force on the surfboard from the water ?

RESNICK AND HALLIDAY-FORCE AND MOTION - I -PROBLEMS
  1. A particle is to move along a line at the constant velocity vec(v)=(2m...

    Text Solution

    |

  2. Three astronauts, propelled by jet backpacks, push and guide a 120 kg ...

    Text Solution

    |

  3. There are two forces on the 2.00 kg box in the overhead view of Fig. 5...

    Text Solution

    |

  4. A 1.50kg object is subjected to three forces that give it an accelerat...

    Text Solution

    |

  5. In an xy plane, a 0.450 kg object moves is such a way that x(t)=-16.0+...

    Text Solution

    |

  6. A 0.150 kg particle moves along an x axis according to x(t)=-13.00+2.0...

    Text Solution

    |

  7. A 3.0 kg object is driven along an x axis by a variable force that is ...

    Text Solution

    |

  8. Two horizontal forces vec(F)(1) and vec(F)(2) act on a 4.0 kg disk tha...

    Text Solution

    |

  9. Two particles of masses m and 2m are placed on a smooth horizonttal ta...

    Text Solution

    |

  10. A block with a weight of 4.0 N is at rest on a horizontal surface A 1....

    Text Solution

    |

  11. (a) An 11.0 kg salami is supported by a cord that runs to a spring sca...

    Text Solution

    |

  12. A 550 kg rocket sled can be accelerated at a constant rate from rest t...

    Text Solution

    |

  13. A car traveling at 63 km/h hits a bridge abutment. A passenger in the ...

    Text Solution

    |

  14. A constant horizontal force vec(F)(a) pushes a 2.00 kg package across ...

    Text Solution

    |

  15. Tarzan, who weighs 860 N, swings from a cliff att the end of a 20.0 m ...

    Text Solution

    |

  16. There are two horizontal forces on the 2.0 kg box in the overhead view...

    Text Solution

    |

  17. The tension at which a fishing line snaps is commonly called the line'...

    Text Solution

    |

  18. A car that weighs 1.30xx10^(4) N is initially moving at 35 km/h when t...

    Text Solution

    |

  19. A firefighter who weighs 689 N slides down a vertical pole with an acc...

    Text Solution

    |

  20. Figure 5-44 shows an overhead view of a 0.0250 kg lemon half and two o...

    Text Solution

    |