The relationship between energy e possessed by an object of mass m kg travelling with speed of v m/s is given by the formula e =1/2 mv².
express m in terms of e and v and find the mass of an object whose energy and speed are 1800 joules and 25 m/s, respectively?

m = 5.76 Kg

Step-by-step explanation:

Given

E = mv²

Multiply both sides by 2 to clear the fraction

2E = mv² ( divide both sides by v² )

= m

When E = 1800 and v = 25, then

m = = = 5.76 Kg

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1