A body of 100 g of mass moves with a constant speed of 20 m / s. At a given moment, a force of 50 N is applied to it, which is constantly held perpendicular to the direction of movement. 1).-The radius of the circular path described by the body .
2). The number of turns per second it will make. Help

1) 0.8 m

2) 3.98 rev/s

Step-by-step explanation:

1) Centripetal force:

F = mv²/r

50 N = (0.1 kg) (20 m/s)² / r

r = 0.8 m

2) Angular velocity:

ω = v/r

ω = (20 m/s) / (0.8 m)

ω = 25 rad/s

f = (25 rad/s) (1 rev / 2π rad)

f = 3.98 rev/s

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1