Apenguin slides at a constant velocity of 1.43 m/s down an icy incline. the incline slopes above the horizontal at an angle of 6.47°. at the bottom of the incline, the penguin slides onto a horizontal patch of ice. the coefficient of kinetic friction between the penguin and the ice is the same for the incline as for the horizontal patch. how much time is required for the penguin to slide to a halt after entering the horizontal patch of ice?

t =1.285  s

Explanation:

u=1.43 m/s

∅=6.47°

We know that  μ(k)=tan∅

F(net)=-f(k)

ma =μ(k)*m*g

a =μ(k)*g   equation 1

v=u+at

0=u+(μ(k)*g*t

Putting values

t=u/(g*tan∅)

t=

t=1.285 s

get the total number of pieces of fruit and divide it by 4 to get the average. the result is the answer to the problem. 14 total number of fruits and there are 4 members. 14 divided by 4 is equals to 3.5.

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2