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A diving borad 3.00 m long is supported at a point 1.00 m fromthe end, and a diver weighing 500 N stands at the free end. The diving board is of uniform cross section and weighs 280N. 
A. Find the force at the support point. 
B. Find the force at the end that is beng held down.

An exceptional standing jump would raise a person 0.80 m off the ground. To do this, what force must a 66-kg person exert against the ground? Assume the person crouches a distance of 0.20 m prior to jumping, and thus the upward force has this distance to act over before he leaves the ground.

In a scene in an action movie, a stuntman jumps from the top of one building to the top of another building 4.0m away. After a running start, he leaps at a velocity of 5.0 m/s at an angle of 15degrees with respect to the flat roof. Will he make it to the other roof, which is 2.5m shorter than the building he jumps from?

A ski tow operates on a 15.0 degrees slope of lenth 300m. The rope moves at 12.0km/h and provides power for 50 riders at one time, with an average mass per rider of 70.0kg. Estimate the power required to operate the tow.

A 0.145 kg baseball pitched at 39.0 m/s is hit on a horizontal line drive straight back toward the pitcher at 52.0 m/s. If the contact time between bat and ball is ${\displaystyle 1.00\times {10}^{-3}}$ s,calculate the average force between the bat and ball during contest.

The drawing shows a version of the loop-the-loop trick for a small car. If the car is given an initial speed of 4 m/s, what is the largest value that the radius r can have if the car is to remain in contact with the circular track at all times?

Raindrops make an angle theta with the vertical when viewed through a moving train window. If the speed of the train is v (subscript t), what is the speed of the raindrops in the reference frame of the Earth in which they are assumed to fall vertically?

Torricelli's Law provides the volume V of water still in the tank after t minutes if a tank holds 5000 gallons of water and the water drains from the bottom of the tank in 40 minutes.${\displaystyle (1-{\frac{t}{40}}^2)5000=V0\le t\le 40}$.
Find the rate at which the tank's water is emptying after (a) five minutes and (b) ten minutes. At what time is the water flowing out the fastest? The slowest?

A 7.0- g bullet is fired into a 1.5- kg ballistic pendulum.The bullet emerges from the block with a speed of 200 m/s, and theblock rises to a maximum height of 12 cm. Find the initial speed ofthe bullet.

In an inkjet printer, letters are built up by squirting drops of ink horizontally at a sheet of paper from a rapidly moving nozzle. The Pattern on the paper is controlled by an electrostatic valve that determines at each nozzle position whether ink is squirted onto thepaper or not. The ink drops have a radius 15.0${\displaystyle \mu m}$ and leave the nozzle and travel horizontally toward the paper at speed v=18.0 m/s . The drops pass through a charging unit that gives each drop a positive charge by causing it to lose some electrons. The drops then pass between parallel deflecting plates of length ${\displaystyle D_0=2.45}$ cm , where there is a uniform vertical electric field with magnitude ${\displaystyle E=8.40\times {10}^4}$ N/C
If a drop is to be deflected a distance d= 0.270 mm by the time it reaches the end of the deflection plate,what magnitude of charge q must be given to the drop? (Assume that the density of the ink drops 1000 ${\displaystyle k\frac{g}{m^3}}$, and ignore the effects of gravity.)

A 292 kg motorcycle is accelerating up along a ramp that is inclined 30.0° above the horizontal. The propulsion force pushing the motorcycle up the rampis 3020 N, and air resistance produces a force of 250 N that opposes the motion. Find the magnitude of the motorcycles

A 0.50 kg ball that is tied to the end of a 1.1 m light cord is revolved in a horizontal planewith the cord making a ${\displaystyle {30}^{\circ }}$ angle, with the vertical.

a) Determine the ball speed.
b) If, instead, the ball is revolved so that its speed is 4.0 m/s,what angle does the cord make with the vertical?
c) If the cord can withstand a maximum tension of 9.1 N, what is the highest speed at which the ballcan move?

An extreme skier, starting from rest, coasts down a mountainthat makes an angle ${\displaystyle {25.0}^{\circ }}$ with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.200. She coasts for a distance of 11.9 m before coming to the edge of a cliff. Without slowing down, she skis offthe cliff and lands down hill at a point whose vertical distance is 4.20 m below the edge. How fast is she going just before she lands?

A rifle with a weight of 30 N fires a 5.0 g bullet with a speed of 300m/s. (a) Find the recoil speed of the rifle. (b) If a700 N man holds the rilfe firmly against his shoulder, find there coil speed of the man and his rifle.

Ropes 3m and 5m in length are fastened to a holiday decoration that is suspended over a town square. The declaration has a mass of 5kg. The ropes, fastened at different heights, make angles of 52 degrees and 40 degrees with the horizontal. Find the tension in each wire and the magnitude of each tension.

Problem: A 0.500kg block attached to a spring with the length 0.60m and force constant k=40.0 N/m is at rest with the back of the block at point A on a frictionless, horizontal airtable. The mass of the spring is negligible. You pull the block tothe right along the surface with a constant horizontal forceF=20.0-6N. 
Questions: 
A.) What is the blocks

If a negative charge is initially at rest in an electric field, will it move toward a region of higher potential or lower potential? What about a positive charge? How does the potential energy of the charge change in each instance?

A rocket is fired in deep space, where gravity is negligible. In the first second it ejects of ${\displaystyle \frac{1}{160}}$ its mass as exhaust gas and has an acceleration of ${\displaystyle 16.0\frac{m}{s^2}}$. 
What is the speed of the exhaust gas relative to the rocket?

A 1.0 kg ball and a 2.0 kg ball are connected by a 1.0-m-long rigid, massless rod. The rod is rotating cw about its center of mass at 20 rpm. What torque will bring the balls to a halt in 5.0 s? Answer in Nm.

A lunch tray is being held in one hand, as the drawing illustrates. The mass of the tray itself is 0.200 kg, and its center of gravity is located tits geometrical center. On the tray is a 1.00 kg plate of food and a 0.190 kg cup of coffee. Obtain the force T exerted by the thumb and the force F exerted by the four fingers. Both forces act perpendicular to the tray, which is being held parallel to the ground.