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What must be the minimum initial speed of the dart so that the combination makes a complete circular loop after the collision?
What are the angles between the negative direction of the y axis and (a) the direction of A, (b) the direction of the product A × B, and (c) the direction of A × (B + 3.00k)?
A 4.0 kg mass is hung from a string which is wrapped around a cylindrical pulley (a cylindrical shell). If the mass accelerates downward at 4.90 m/s2, what is the mass of the pulley?
The horizontal and has a tension of 158 Newtons, while Rope 2 is at an angle of 59.0 degrees to the horizontal. Calculate the vertical component of the tension in Rope 2.
A block of wood half as dense as water floats with half its volume above water. A piece of iron is then tied on top so the wood floats with only 1/4 its volume above the surface. If the wood and ir
Find the fraction of incident unpolarized light intensity transmitted by the three-sheet combination. (Assume each polarizing sheet is ideal.)
This procedure has actually been used to "weigh" astronauts in space. A 42.5-rm kg chair is attached to a spring and allowed to oscillate. When it is empty the chair takes 1.30 rm s to make one comp
If this scale was taken to a planet that has a mass 4 times larger than the earth and a radius 4 times greater than the earth, what would the reading on the scale be when the mass was suspended on i
A 260 g block on a 54.0 cm-long string swings in a circle on a horizontal, frictionless table at 55.0 rpm What is the speed of the block?
A model rocket is launched vertically at v0 =55 m/s. It accelerates at 2.2 m/s2 until the engine stops at 150 m above ground. (a) What is the maximum height the rocket reaches? (b) How long is the r
Two objects attract each other gravitationally with a force of 2.8×10-10 when they are 0.65 apart. Their total mass is 4.6 .Find their individual masses.
In other words, what are the magnitudes of the components of the ship's displacement vector in the directions (a) due east and (b) due north?
A 69-kg person on skis is going down a hill sloped at 30° from the horizontal. The coefficient of friction between the skis and the snow is 0.20. What would be the magnitude of the acceleration
A race car starts from rest on a circular track. The car increases its speed at a constant rate at as it goes once around the track. Find the angle that the total acceleration of the car makes-with
A runner accelerates to a velocity of 5.29 m/s due west in 3 s. His average acceleration is 0.641 m/s2, also directed due west. What was his velocity when he began accelerating?
How many kilograms of water at 25 degrees celcius must come to thermal equilibrium with a 3.0kg gold bar at 99 degress celcius in order to lower the bar's temperature to 47 degrees celsius?
Assuming that the pass was thrown at the optimal 45 angle, what was the speed at which the ball left the quarterback's hand?
A trajectile, of mass 20 g, traveling at 350 m/s, strikes a steel plate at an angle of 30-degrees with a plane of the plate. It ricochets off at the same angle, at a speed of 320 m/s. What is the m
The collision is not head-on. After the collision, the two pucks fly apart with the angles shown in the drawing. Find the speed of Puck A and puck B.
A 10.0 mu F capacitor initially charged to 30.0 mu C is discharged through a 2.20 kOmega resistor. How long does it take to reduce the capacitor's charge to 5.00 mu C?
Three blocks of mass 3m, 2m, and m are connected by strings and pulled with constant acceleration a. What is the relationship between the tension in each of the strings?
A 550 block slides along a frictionless surface at a speed of 0.35 . It runs into a horizontal massless spring with spring constant 54 that extends outward from a wall. It compresses the spring, the
An angle theta from the vertical and rolls without slipping. What is the angular velocity of the sphere when it passes the bottom of the hemisphere?
Explain briefly the difference between equilibrium, steady-state current, and the behavior of an LC circuit
A 4.0- block is stacked on top of a 12.0- block, which is accelerating along a horizontal table at = 5.2 . Find minimum coefficient of friction.