Field Theory Answers

Find the divergence of the following vector feild.

(i) 3xi+(y-3)j+(2-z)

(ii) Zxi+Xyj+Yzk

A 366.0 g block is dropped onto a vertical spring with a spring constant k = 225.0 N/m. The block becomes attached to the spring, and the spring compresses 0.230 m before momentarily stopping. While the spring is being compressed, what work is done by the block's weight?

What work is done by the spring?

What was the speed of the block just before it hit the spring?

ANALYSIS

A rock is thrown vertically upward with with a speed of 12m/s. Exactly 1s later a ball thrown up vertically along the same path with a speed 18m/s.

1). At What time will the collision occur?

2). At what height will the collision occur?

3). Answer (1) and (2), assuming if the order is reversed: the rock is thrown 1.00s before the ball.

1) A charge of +2uC is placed 4m away from a charge of -3uC. Determine the magnitude and direction of the force of the charges

A man has to run from his house to his neighbour’s house and back again before his favourite television show starts in 12 minutes. His neighbour lives 1.8 km away. How fast must he run on average to make it back in time to catch his show?

a non-uniform rod xy of mass 40kg and length 5.0m lies on the horizontal ground. Its centre go gravity is 2.0m from the end x. calculate the vertical force p that will just be sufficient to lift the end y from the ground. why would the force p if applied at the end x not be sufficient to lift the end x from the ground

an electron released from rest in uniform electric field of magnitude e=220 n/c and gains speed. find magnitude of force applied to it

A student fires a cannonball vertically upwards. The cannonball returns to the ground after a 6.00s flight. Determine all unknowns and answer the following questions. Neglect drag and the initial height and horizontal motion of the cannonball. Use regular metric units (ie. meters).