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Chapter 4: Motion in Two and Three Dimensions

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Fundamentals Of Physics
Pages: 62 - 93

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161 Questions for Chapter 4: Motion in Two and Three Dimensions

  1. An iceboat sails across the surface of a frozen lake with constant acceleration produced by the wind. At a certain instant the boat’s velocity is(6.30i^-8.42j^)m/s. Three seconds later, because of a wind shift, the boat is instantaneously at rest. What is its average acceleration for this 3.00sinterval?

    Found on Page 91
  2. In Fig. 4-55, a ball is shot directly upward from the ground with an initial speed of V0=7.00m/s. Simultaneously, a construction elevatorcab begins to move upward from the ground with a constant speed of Vc=3.00m/s. What maximum height does the ball reach relative to (a) the ground and (b) the cab floor? At what rate does the speed of the ball change relative to (c) the ground and (d) the cab floor?

    Found on Page 91
  3. A magnetic field forces an electron to move in a circle with radial acceleration 3.0×1014m/s2in a particular magnetic field. (a) What is the speed of the electron if the radius of its circular path is15cm? (b)What is the period of the motion?

    Found on Page 91
  4. In 3.50h, a balloon drifts 21.5kmnorth, 9.70kmeast, and 2.88kmupward from its release point on the ground. Find (a) the magnitude of its average velocity. (b) the angle its average velocity makes with the horizontal.

    Found on Page 91
  5. A ball is thrown horizontally from a height of 20mand hits the ground with a speed that is three times its initial speed. What is the initial speed?

    Found on Page 91
  6. A projectile is launched with an initial speed of 30m/sat an angle of60°above the horizontal. What are the (a) magnitude and (b) angle of its velocity2.0safter launch, and (c) is the angle above or below the horizontal? What are the (d) magnitude and (e) angle of its velocity 5.0 s after launch, and (f) is the angle above or below the horizontal?

    Found on Page 91
  7. The position vector for a proton is initially r→=5.0i^-6.0j^+2.0k^and then later isrole="math" localid="1657003791208" r→=-2.0i^-6.0j^+2.0k^all in meters. (a) What is the proton’s displacement vector, and (b) to what plane is that vector parallel?

    Found on Page 91
  8. A particle Ptravels with constant speed on a circle of radiusr=3.00m(Fig. 4-56) and completes one revolution in 20.0s. The particle passes through Oat time t= 0. State the following vectors in magnitude angle notation (angle relative to the positive direction of x).With respect to 0, find the particle’s position vectorat the times tof (a) 5.00s, (b)7.50s, and (c)10.0s. (d) For the 5.00sinterval from the end of the fifth second to the end of the tenth second, find the particle’s displacement. For that interval, find (e) its average velocity and its velocity at the (f) beginning and (g) end. Next, find the acceleration at the (h) beginning and (i) end of that interval.

    Found on Page 91
  9. The fast French train known as the TGV (Train à Grande Vitesse) has a scheduled average speed of216km/h. (a) If the train goes around a curve at that speed and the magnitude of the acceleration experienced by the passengers is to be limited to0.050g,what is the smallest radius of curvature for the track that can be tolerated? (b) At what speed must the train go around a curve with a1.00kmradius to be at the acceleration limit?

    Found on Page 91
  10. (a)If an electron is projected horizontally with a speed of 3.0×106m/s, how far will it fall in traversing1.0mof horizontal distance?

    Found on Page 91

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