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A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 49.2 J and a maximum displacement from equilibrium of 0.280 m. (a) What is the spring constant? N/m (b) What is the kinetic energy of the system at the equilibrium point? J (c) If the maximum speed of the block is 3.45 m/s, what is its mass? kg (d) What is the speed of the block when its displacement is 0.160 m? m/s (e) Find the kinetic energy of the block at x = 0.160 m. J (f) Find the potential energy stored in the spring when x = 0.160 m. J (g) Suppose the same system is released from rest at x = 0.280 m on a rough surface so that it loses 16.3 J by the time it reaches its first turning point (after passing equilibrium at x = 0). What is its position at that instant?
A car traveling at 21 runs out of gas while traveling up a 21 slope.How far up the hill will it coast before starting to roll back down.
A stone has a mass of 4.00 x10-3 kg and is wedged into the tread of an automobile tire, as the drawing shows. The coefficient of static friction between the stone and each side of the tread channel is 0.76.
Write down the expression that shows the pressure
A 0.39 kg iron horseshoe that is initially at 745°C is dropped into a bucket containing 24 kg of water at 46°C. What is the final equilibrium temperature? Neglect any heat transfer to or from the surroundings.
A 250-g ball collides with a wall. The ball's velocity and the force exerted on the ball by the wall. What is v_{{rm{f}}x}, ball's rebound velocity.
A wheel has a radius of 3.6m. How far (path length) does a point on the circumference travel if the wheel is rotated by angles of 30°, 30 rad, and 30 rev, respectively.
The sodium D line is a doublet consisting of two wavelengths, 588.995 and 589.592 nm. Calculate the angular separation between these two lines in the first-order spectrum for a grating with 4000 lines per centimeter. Repeat for the second order.
Calculate escape velocity for an object started at the surface of the earth, going straight up. Neglect any complications due to the earth turning.
Calculate the speed of block at the instant the dielectric leaves the capacitor assuming it starts at rest and that the voltage across capacitor after the dielectric is removed is measured to be 200 V.
What is tension in each of the cables
A merry-go-round starts from rest and accelerates uniformly over 23.5 s to the final angular velocity of 6.55 rev/min.
Where is center of mass of the system
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