A 20 kg wood ball hangs from a 2.0-m-long wire. The maximum tension the wire can withstand without breaking is 400 N. A 1.0 kg projectile traveling horizontally hits and embeds itself in the wood ball. What is the greatest speed this projectile can have without causing the wire to break?
The greatest speed that projectile can have without causing the wire to break is 90.3 ms-1
We need to find out the the greatest speed that this projectile can have without causing the wire to break.
vpi and vf denotes the initial velocity of the projectile and the final velocity of the ball embedded with the projectile respectively.
After collision, the projectile with ball moves in a circular arc.
Using the Principle of conservation of momentum,
mpvpi = (mp + mb)vf
To find vpi , the value of vf is required
After collision, the ball with projectile moves in a circular arc.
The force acting along wire is given as
Centripetal force is also acting due to the wire. Therefore,
And it is calculated that
vpf = 21vf
vpf = 90.3 ms-1
Hence, The greatest speed that projectile can have without causing the wire to break is 90.3 ms-1
The stoplight had just changed and a 2000 kg Cadillac had entered the intersection, heading north at 3.0 m/s, when it was struck by a 1000 kg eastbound Volkswagen. The cars stuck together and slid to a halt, leaving skid marks angled 35° north of east. How fast was Volkswagen going just before the impact?
A 100 g ball moving to the right at 4.0 m/s collides head-on with a 200 g ball that is moving to the left at 3.0 m/s.
a. If the collision is perfectly elastic, what are the speed and direction of each ball after the collision?
b. If the collision is perfectly inelastic, what are the speed and direction of the combined balls after the collision?
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