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A 0.35 kg point mass moving on a frictionless horizontal surface is attached to a rubber band whose other end is fixed at point P. The rubber band exerts a force F = bx toward P, where x is the length of the rubber band and b is an unknown constant. The mass moves along the dotted line. When it passes point A, its velocity is 3.5 m/s directed as shown. The distance AP is 0.6 m and BP is 1.0 m.
(a) Find the speed of the mass at points B and C.
(b)Find b
The reflected sound is afterwards mixed with the transmitted sound, and 85 beats per second are detected. The speed of sound in body tissue is 1520m/s. compute the speed of the fetal heart wall at the instant this measurement is made.
A 0.255 kg puck, initially at rest on a frictionless horizontal surface, is struck by a 0.200 kg puck that is initially moving along the x axis with a velocity of 2.06 m/s. After the collision, the 0.200 kg puck has the speed of 1.02 m/s at an ang..
A bead slides without friction around a loop- the-loop. The bead is released from a height of 24.7 m from the bottom of the loop-the- loop which has a radius 9 m.
A baseball leaves a pitcher's hand horizontally at a speed of 156km/h. The distance to the batter is 18.3 m. (overlook the effect of air resistance.) (a) How long does ball take to travel the first half of that distance? (b) The second half? (c) H..
A 16 kg wood ball hangs from a 2 m-long wire. The maximum tension the wire can withstand without breaking is 435 N. A 1.2 kg projectile traveling horizontally hits and embeds itself in the wood ball. What is the largest speed the projectile can ha..
Imagine that we drop a block of mass m from a height h above the comparatively lightweight plate supported by a vertical spring with relaxed length L and spring constant k. From what value of h would we have to drop the block to compress spring to..
A tuning fork vibrating at 666 Hz falls from rest and accelerates at 9.8 m/s 2. How far below point of release is the tuning fork when waves of frequency 626.4 Hz reach the release point? The speed of sound in air is 339 m/s.
Constable Bob inspected skid marks near a traffic accident to determine the acceleration of initial velocity of lawn mower involved in the accident. Bob measured the lawn mower skid marks to be 32 m long. Witnesses said the lawn mower was skiddin..
Consider a 10-kg block resting on a frictionless plane inclined 30 o connected by a rope through a pulley to a 10-kg block hanging free. What is the direction and magnitude of the resulting acceleration of the 2-block system?
A hotel elevator ascends 240 m with a maximum speed of 5.8 m/s. Its acceleration and deceleration both have a magnitude of 1.0 m/s2.
A 20 {rm kg} child plays on a swing having support ropes that are 2.3 {rm m} long. A friend pulls her back until the ropes are 39.0^circ from the vertical and releases her from rest.
what force is needed to pull a 150 pound sled along a horizontal surface? The coeficient of kinetic friction is 0.10 and the sled is pulled by a rope that makes the angle of 0 degree with the horizontal. There is no acceleration.
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