Acar has mass 1500 kg and is traveling at a speed of 35 miles/hour. what is its kinetic energy in joules? (be sure to convert miles/hour to m/s). if the car increases its speed to 70 miles/hour, by what factor does its kinetic energy increase? show work

Factor by which kinetic energy increase = 4 times

Step-by-step explanation:

Given,

                               = 15.64 m/s

Initial kinetic energy of the car is given by,

       = 183606.46 J

                                      = 31.29 m/s

So, final kinetic energy of car is given by

        = 734425.84 J

Now, the ratio of final to initial kinetic energy can be given by,

Hence, the kinetic energy will increase by 4 times.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

the radius is 2 times the diameter.

step-by-step explanation: