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Q1. Assume a 6.0 g bullet travelling at 100 m/s strikes a bulletproof vest and comes to rest in about 600 microseconds. What average force would it impart to the happy wearer?
Q2. A 355 kg bear grasping a vertical tree slides down at constant velocity. What is the friction force that acts on the bear?
Q3. A small, 300 g cart is moving at 1.60 m/s on an air track when it collides with a larger, 1.00 kg cart at rest. After the collision, the small cart recoils at 0.890 m/s.
The spring of the pressure gauge has a force constant of1000 n/m and the piston has a diameter of 2.00 cm as the gauge is lowered into water, what change in depth causes piston to move in by 0.50 cm.
What mass of water at 29.0°C added to a Styrofoam cup containing two 60.0 g ice cubes from a freezer at -16.0°C will result in a final temperature of 5.00°C for the drink? Explain it.
Find an average magnitude of the induced emf . A bungee jumper, who's mass is 79 kg, jumps from a tall building. After reaching his lowest point, he continues to oscillate up and down, reaching the low point two more times in 8.2 s.
A magnifier has a magnification of 8 times. How far from the lens should an object be placed so that its (virtual) image is at the near-point distance of 25 {rm cm}.
A U tube is filled with water, and the two arms are capped. The tube is cylindrical, and the right arm has twice the radius of the left arm. The caps have negligible mass, are watertight, and can freely slide up and down tube.
A dynamite blast at a quarry launches a rock straight upward, and later it is rising at a rate of 15m/s. Assuming air resistance has no effect on the rock, calculate the total time the rock is in the air.
The parallel metal plate of a capacitor is detached by a distance of 0.5cm and is connected to a 90v battery. Find the electric field between them and surface charge density on the plate.
A 75 g, 31 cm long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 12 g ball of clay travelling horizontally at 2.1 m/s hits and sticks to a very bottom tip of the rod.
Find the resultant forces and moments at wrist, biceps muscle force, elbow and shoulder and joint reaction force using 2-D static analysis.
A 120 g trick baseball is thrown at 51 km/h. It explodes in flight into two pieces, with a 50 g piece regular straight ahead at 86 km/h. How much energy do the pieces gain in the explosion.
Calculate P necessary to just start opening the 2 m wide gate.
A water pipe is inclined 32.0° below the horizontal. The radius of the pipe at the upper end is 3.00 cm. If the gauge pressure at a point at the upper end is 0.117 atm, what is the gauge pressure at a point 2.65 m downstream, where the pipe has narro..
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