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A uniform rod AB of length 120meters and mass 80kg balanced horizontally on two support placed 45m from A and 10m end B. Calculate the reaction of the support when weight of 400N, 200N, 120N, are suspended 80m, 115m, and 15m respectively from the end A


Over a time interval of 2.07 years, the velocity of a planet orbiting a distant star reverses direction, changing from +23.6 km/s to -24.4 km/s. Find (a) the total change in the planet's velocity (in m/s) and (b) its average acceleration (in m/s2) during this interval. Include the correct algebraic sign with your answers to convey the directions of the velocity and the acceleration.


  1. Assume an intercontinental ballistic missile goes from rest to a suborbital speed of 8.50 km/s in 70.0 s (the actual speed and time are classified). What is its average acceleration in meters per second and in multiples of g (9.80 m/s²)?
  2. A particle moves in a straight line with an initial velocity of 35 m/s and constant acceleration 30 m/s². (a) What is its displacement at t = 8 s? (b) What is its velocity at this same time?
  3. You throw a ball straight up with an initial velocity of 18.0 m/s. It passes a tree branch on the way up at a height of 6.0 m. How much additional time elapses before the ball passes the tree branch on the way back down?
  1. A car is 3.0 km west of a traffic light at t = 0 and 7.0 km east of the light at t = 8.0 min. Assume the origin of the coordinate system is the light and the positive x direction is eastward. (a) What are the car's position vectors at these two times? (b) What is the car's displacement between 0 min and 6.0 min?
  2.  The position of a particle moving along the x-axis is given by x(t) = 5.0 − 2.0t m. (a) At what time does the particle cross the origin? (b) What is the displacement of the particle between t = 4.0 s and t = 8.0 s?
  3. A particle moves along the x-axis according to x(t) = 8t - 2t² m. (a) What is the instantaneous velocity at t = 2 s and t = 3 s? (b) What is the instantaneous speed at these times? (c) What is the average velocity between t = 2 s and t = 3 s?

The average distance between Earth and the Sun is 2.5 × 1011m. (a) Calculate the average speed of Earth in its orbit (assumed to be circular) in meters per second. (b) What is this speed in miles per hour?


A square metal plate with a length of 0.20 m and with a charge of 9.7 x 10 -7 C.

Find the electric field of the square metal plate.


The Large Electron Positron ring, near Geneva, Switzerland, is one of the biggest scientific instruments on Earth. The circumference of the ring is 27 km. A copper wire with this length and a cross-sectional area of 1 mm2 will have a resistance of about 450 ohms. Consider a parallel connection of three resistors with resistances equal to 1.0, 2.0, and 0.50 times the resistance of the copper wire, respectively, justify by using calculations that the equivalent resistance is 1.3 x 10^2


Explain how, using a capacitor in conjunction with a gold-leaf electroscope, the voltage sensitivity 

of the electroscope may be increased


The temperature of a body rises by 5°C. What is the corresponding rise on the (i) Fahrenheit scale (ii) Kelvin scale?


Explain how, using a capacitor with gold leave electroscope, may increase the sensitivity of the electroscope


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