Question

Which statement is true for a car that first goes around a curve of radius r at a constant speed v, and then goes around the same curve at half the original speed?a.The centripetal force is twice as big the second time around.b.The centripetal force is four times as big the second time around.c.The centripetal force is one-half as big the second time around.d.The centripetal force is one-fourth as big the second time around.

Answer 1

Answer:b

Explanation:

Given

initial speed is v

initial radius is r

Centripetal Force is given by

$F_1=\frac{mv^2}{r}$

for second case

where speed is half and radius is r

$F_2=\frac{m(0.5v)^2}{r}$

$F_2=\frac{1}{4}\times \frac{mv^2}{r}$

$F_1=4F_2$

Thus b is the correct option

Answer 2

Answer:

D: The centripetal force is one-fourth as big the second time around.

Explanation:

Edementum/Plato