An athlete at the gym holds a 3.0 kg steel ball in his hand. His arm is 70 cm long and has a mass of 3.8 kg, with the center of mass at 40% of the arm length from the shoulder.

Part A: What is the magnitude of the torque about his shoulder due to the weight of the ball and his arm if he holds his arm straight out to his side, parallel to the floor?

Part B: What is the magnitude of the torque about his shoulder due to the weight of the ball and his arm if he holds his arm straight, but 45° below horizontal?

An athlete at the gym holds a 3.0 kg steel ball in his hand. His arm is 70 cm long and has a mass of 4.0 kg with the center of gravity 30 cm from the shoulder. What is the magnitude of the gravitational torque about his shoulder if he holds his arm

Straight out to his side, parallel to the floor?

The position of a car moving on a straight highway is given by

$$x=t^2-\frac{t^3}{90} m$$

where t is the time in seconds. Determine (a) the distance traveled by the car before it comes to a stop; and (b) the maximum velocity reached by the car.

Find the slope of the straight line passing through

(a) $\mathrm{E}(-1,3)$ and $\mathrm{F}(3,11)$

(b) $\mathrm{E}(-1,3)$ and $\mathrm{G}(4,-2)$

(c) $\mathrm{E}(-1,3)$ and $\mathrm{H}(49,3)$

You throw a ball. When the ball is many meters away from you, is the force of your hand still acting on the ball? When does the force of your hand stop acting on the ball?

A car is traveling at 100 km/h along a straight, level road when its brakes become locked. Determine the stopping distance of the car knowing that the coefficient of kinetic friction between the tires and the road is 0.65.

Assuming that the returns from holding small company stocks are normally distributed, what is the approximate probability that your money will double in value in a single year? Triple in value?

This removes an item at a specific index in a list.

a. The remove method

b. The delete method

c. The del statement

d. The kill method

The financial statements of a company are management's, not the accountant's. Discuss the implications of this statement.

Relate average product to average variable cost and marginal product to marginal cost.

As a football player moves in a straight line, an opponent exerts a constant force $(126 \mathrm{~N}) \hat{\imath}+(168 \mathrm{~N}) \hat{\jmath}$ on him. How much work does the opponent do on the football player?

Devise a rule for finding your distance in kilometers from a lightning flash by counting the seconds from the time you see the flash until you hear the thunder. Assume that the sound travels to you along a straight line.

Starting from the rest and moving in a straight line, a cheetah can achieve a velocity of $V_2=31\:\dfrac{\text{m}} {\text{s}}$ during a period of $t_2=4\text{ s}$. What is the average acceleration of the cheetah?

The graph of a function f forms a straight line from (-1,-1) to (0,-1) and becomes a diagonal line from (0,-1) to (2,1) then form a diagonal line from (2,1) to (3,0). Sketch the graphs of the following equations.

$$y=|f(x)|$$