a wrecking ball has a mass of 650 kg. it swings from a cable that is 21 m long. the centripetal force on the…

a wrecking ball has a mass of 650 kg. it swings from a cable that is 21 m long. the centripetal force on the ball is 56 n. what is the tangential speed of the wrecking ball? 1.3 m/s 1.8 m/s 46 m/s 870 m/s

a wrecking ball has a mass of 650 kg. it swings from a cable that is 21 m long. the centripetal force on the ball is 56 n. what is the tangential speed of the wrecking ball? 1.3 m/s 1.8 m/s 46 m/s 870 m/s

Answer

Explanation:

Step1: Recall centripetal - force formula

The centripetal - force formula is $F_c=\frac{mv^2}{r}$, where $F_c$ is the centripetal force, $m$ is the mass, $v$ is the tangential speed, and $r$ is the radius (length of the cable in this case). We need to solve for $v$. Rearranging the formula for $v$, we get $v = \sqrt{\frac{F_cr}{m}}$.

Step2: Substitute given values

Given $m = 650$ kg, $r=21$ m, and $F_c = 56$ N. Substitute these values into the formula: $v=\sqrt{\frac{56\times21}{650}}$. First, calculate the numerator: $56\times21 = 1176$. Then, $\frac{1176}{650}\approx1.81$. $v=\sqrt{1.81}\approx1.3$ m/s.

Answer:

1.3 m/s