Consider an artillery projectile striking armor plating. Construct a problem in which you find the force exerted by the projectile on the plate. Among the things to be considered are the mass and speed of the projectile and the distance over which its speed is reduced. Your instructor may also wish for you to consider the relative merits of depleted uranium versus lead projectiles based on the greater density of uranium.

K Solve for the indicated variable. Assume all variables are positive. QV₁ QV₂ T. L T₂ ; for T₁ (Simplify your answer.)

A metal soda can of uniform composition has a mass of 0.134 kg and is 12.6 cm tall (see the figure). The can is filled with 1.42 kg of soda. Then small holes are drilled in the top and bottom (with negligible loss of metal) to drain the soda. What is the height h of the center of mass of the can and contents (a) initially and (b) after the can loses all the soda? (c) If x is the height of the remaining soda at any given instant, find x when the center of mass reaches its lowest point. (a) Number i Units (b) Number i Units (c) Number i Units Splash!

Two rigid bodies, A and B, both 1 kg in mass, are connected by a linear spring with a spring constant of 0.2 N/m.  Initially, the spring is unstretched and the bodies are at rest.  If multiple forces and moments are applied to the two bodies that result in the speed of body A increasing to 10 m/s, the speed of body B increasing to 4 m/s, and the stretch of the spring increasing by 10 m, then  -20 Nm of work was done by the spring on the body A, B system. Two rigid bodies, A and B, both 1 kg in mass, are connected by a linear spring with a spring constant of 0.2 N/m.  Initially, the spring is unstretched and the bodies are at rest.  If multiple forces and moments are applied to the two bodies that result in the speed of body A increasing to 10 m/s, the speed of body B increasing to 4 m/s, and the stretch of the spring increasing by 10 m, then  -20 Nm of work was done by the spring on the body A, B system. True False

One hazard of space travel is the debris left by previous missions. There are several thousand objects orbiting Earth that are large enough to be detected by radar, but there are far greater numbers of very small objects, such as flakes of paint. Calculate the magnitude of the force, in newtons, exerted by a 0.085-mg chip of paint that strikes (and sticks to) a spacecraft window at a relative speed of 4.25 × 103 m/s, given the collision lasts 6.1 × 10– 8 s. F =

1. As part of your role at a heavy-goods vehicle manufacturer, you have been asked to determine the drag caused by the boundary layer developing along a section of the trailer roof, which can be treated as having constant pressure, as the truck travels at 10 m/s. The velocity profile in this region is given by: - A (+ 1) + 1 us where us is the velocity at the edge of the boundary layer. A and B are constants.

A water molecule consists of an oxygen atom and two hydrogen atoms. The two O—H bonds are each0.1 nm long and form an angle of 107◦ with each other. Where is the molecule’s centre of mass located?Consider the mass of the oxygen atom to be 16 times the mass of a hydrogen atom, and place yourhydrogen atoms along the x-axis of your coordinate system. [Hint: Draw your coordinate system!].

Radical Albertan separatists are driving a tank at a constant speed of 10 m/s up a 45 degree mountain slope, in a vain attempt to invade British Columbia. Pursued by the Mounties, the tank fires a 10 kg watermelon, with muzzle velocity 25 m/s, back along its path. Ignore the distance from the muzzle to the slope. If the gun barrel is pointed 20 degrees above the horizontal as shown, how far is the melon from the tank (which keeps moving) when it finally strikes the slope below? Answer in m.

As part of a safety investigation, two 1900 kgkg cars traveling at 21 m/sm/s are crashed into different barriers.  Find the average force exerted on the car that hits a line of water barrels and takes 1.4 ss to stop. Find the average force exerted on the car that hits a concrete barrier and takes 0.20 ss to stop.

From 1946 through 1958, Col. John Stapp headed the U.S. Air Force Aero Medical Laboratory's studies of the human body's ability to tolerate high accelerations during plane crashes. Conventional wisdom at the time indicated that a plane's negative acceleration should not exceed 180 m/s2 (18 times gravitational acceleration, or 18g). Stapp and his colleagues built a 700-kg "Gee Whiz" rocket sled, track, and stopping pistons to measure human tolerance to high acceleration. Starting in June 1949, Stapp and other live subjects rode the sled. In one of Stapp's rides, the sled started at rest and 360 m later was traveling at speed 67 m/s when its braking system was applied, stopping the sled in 6.0 m. He had demonstrated that 18g was not a limit for human deceleration.   Find the time interval for Stapp and his sled to stop as their speed decreased from 67 m/s to zero.