Figure 1 above shows an athlete's forearm holding a steel ball. The forearm is supported by a contraction of the biceps muscle, which causes a torque around the elbow. Assuming that the tension
in the biceps acts along the vertical direction given by gravity and the centre of gravity of the forearm
is half of L. What tension must the biceps muscle exert to hold the forearm at the position shown?
Sketch and label your free body diagram. (Let L = 33.5 cm, d = 3.8 cm, mass of steel ball = 280 g, mass
of the forearm = 2,5 kg)
(5 marks)

Aparticle with mass 1.81×10−3 kg and a charge of 1.22×10−8 c has, at a given instant, a velocity v⃗ =(3.00×104m/s)j^. what are the magnitude and direction of the particle’s acceleration produced by a uniform magnetic field b⃗ =(1.63t)i^+(0.980t)j^?

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)

Specific heat refers to the amount of heat required to change 1 gram of a substance by degree(s) celsius