1. Suppose the vectors A and B in the drawing have magnitudes of 6.0 m and are d

Question

1. Suppose the vectors A and B in the drawing have magnitudes of 6.0 m and are directed as shown. What are Aa and Br, the scalar components of A and B along the x axis? 6.0 n 6.0 m 35 35 2. A spring is hanging down from the ceiling, and an object of mass m is attached to the free end. The object is pulled down, thereby stretching the spring, and then released. The object oscillates up and down, and the timeT required for one complete up-and-down oscillation is given by the equation T 2TVm/k, wherek is known as the spring constant. What must be the dimension ofk for this equation to be dimensionally correct? 3. The tail of a vector is fixed to the origin of an x,y axis system. Orig- inally the vector points along the +x axis and has a magnitude of 12 units. As time passes, the vector rotates counterclockwise. For which of the following rotational angles is the x component of the vector equal to zero? (a) 90 degrees (b) 180 degrees (c) 270 degrees (d) 360 degrees 4. The mass of a raindrop is 4 milligrams. Which one of the following statements indicates the correct mass of the raindrop in grams? (a) The raindrop has a mass of 4 x 106 grams.

Explanation / Answer

1)

Ax = -A*cos(35)

= -6.0*cos(35)

= -4.9 m

Bx = B*cos(35)

= 6.0*cos(35)

= 4.9 m

2)

we know, diemsions of T is T

diemsions of m is M

dimensions of k?

equate the diemsnsions both side

T = sqrt(M/k)

T^2 = M/k

k = M/T^2

k = M*T^-2

so, the dimesnions of k are " M T^-2 "

3)

a) 90 degrees

c) 270 degrees

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