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a certain cylinder has a length of 4cm and diameter 2cm.what percentage uncertainty is introduced into the calculated circumference by an uncertainty of 0.01cm in the diameter measurement?.what percent uncertainty does this introduce in the calculated volume?


Using the following notations:

θ = independent scalar variable

r(θ) = position vector depending on the variable θ

tˆ = unit tangent vector

nˆ = unit normal vector

show that

nˆ ⊥ tˆ


A plane flies 20 km in a direction 60° north of east, then 30 km straight east, then 10 km straight north. How far and in what direction is the plane from the starting point? Use i and j unit vectors.


Two vectors, 300 and 400, have a common origin and are 60° apart. Find the magnitude and the direction of the resultant using a.) The cosine law and b.) The i and j unit vectors


Along the x-axis, a box is pulled by a string. 30° from the x-axis a second string pulls the box slightly upward. Find the magnitude of both Force vectors.


) A metal cylinder has a length of 4 cm and diameter 2 cm. What percent uncertainty is introduced into the calculated circumference by an uncertainty of 0.01 cm in the diameter measurement? What percent uncertainty does this introduce in the calculated volume?


You throw a ball upwards with an initial velocity of 29 m/s. How high will the ball go before its velocity will be zero and it begins to fall and how much time will it take for the ball to reach that height?


Compute the gravitational potential & gravitational field due to a hollow sphere :

1. At a point outside a sphere

2.At a point inside the hollow space

3.At a point inside the material


what is classical mechanics



What is the period T of a planet which radius is as twice as of Earth when it completes one revolution in 875 days? ( Earth radius = 6.38 x 105 )