• An object of mass 2.0 kg moves in uniform circular motion on a horizontal friction less table. The radius of the circle is 0.7
1 answer:
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Answer:
175.3 N
Explanation:
The motion of the ball is a uniform circular motion, therefore the net force on it must be equal to the centripetal force.
There are two forces acting on the ball at the lowest point of motion:
- The tension in the string, T , upward
- The weight of the ball, , downward
The net force (centripetal force) has the same direction as the tension (upward, towards the centre of the circular path), so we can write:
where the term on the right is the expression for the centripetal force, and where:
T is the tension in the string
is the weight of the ball
is the mass of the ball
v = 5.7 m/s is the speed of the ball at the lowest point
r = 4.4 m is the length of the rope, so the radius of the circle
Solving for T, we find the tension in the string:
Answer:
754.3 m
Explanation:
The moment of inertia of the solid disk:
Where m is the disk mass and R is the radius of the disk.
The angular kinetic energy of the disk is then:
By law of energy conservation, this energy is converted to potential energy to pick up the 3kg block
let g = 9.8 m/s2
where = 3 kg is the mass of block