A ball with mass is tied on a light string which passes through a tube in the smooth table. The ball has an initial speed vo and moving circularly with radius ro. Then pulling the string to make the radius to r1. The speed of the ball is:
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Step 1
Initially, the ball is moving in a circle with radius r0 and speed v0. The only force acting on the ball is the tension in the string, which provides the centripetal force required for circular motion. We can write the centripetal force as: F_c = m * v0^2 / Show more…
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A ball of mass $0.1 \mathrm{~kg}$ rotates in a horizontal circle of radius $1 \mathrm{~m}$ at a constant speed of $2 \mathrm{~m} \mathrm{~s}^{-1}$ on a frictionless table as shown in figure. The ball is attached to a string which passes through a hole in the table. By pulling the string at the lower end, the radius of the path is reduced to $0.5 \mathrm{~m}$. (a) new velocity of the ball is $2 \mathrm{~m} \mathrm{~s}^{-1}$. (b) new velocity of the ball is $3 \mathrm{~m} \mathrm{~s}^{-1}$. (c) final tension in the string is $4 \mathrm{~N}$ (d) final tension in the string is $3.2 \mathrm{~N}$
A ball of mass $0.1$ kg rotates in a horizontal circle of radius $1 \mathrm{~m}$ at a constant speed of $2 \mathrm{~m} \mathrm{~s}^{-1}$ on a frictionless table as shown in figure. The ball is attached to a string which passes through a hole in the table. By pulling the string at the lower end, the radius of the path is reduced to $0.5 \mathrm{~m}$. (a) new velocity of the ball is $2 \mathrm{~m} \mathrm{~s}^{-1}$. (b) new velocity of the ball is $3 \mathrm{~m} \mathrm{~s}^{-1}$. (c) final tension in the string is $4 \mathrm{~N}$ (d) final tension in the string is $3.2 \mathrm{~N}$
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