An automobile with a mass of 1180 kg is traveling at a speed v = [06] m/s. a. What is its kinetic energy in SI units? b. What speed (m/s) must an 82.7-kg person move to have the same kinetic energy? c. At what speed (m/s) must a 12.1-g bullet move to have the same kinetic energy? d. What would be the speed (m/s) of the automobile if its kinetic energy were doubled?

Complete Question:

An automobile with a mass of 1180 kg is traveling at a speed v =2.51 m/s. What is its kinetic energy in SI units? What speed (m/s) must an 82.7-kg person move to have the same kinetic energy? At what speed (m/s) must is 12.1-g bullet move to have the same kinetic energy? What would be the speed (m/s) of the automobile if its kinetic energy were doubled?

a) 3717.1 J b) 9.48 m/s c) 783.8 m/s d) 3.55 m/s

Explanation:

a)

By definition, the kinetic energy of a mass m with a speed v, is as follows:

     

if m= 1180 Kg, and v= 2.51 m/s, the kinetic energy can be calculated as follows:

       

b)

If the kinetic energy must be the same, and m= 82,7 Kg, we can write the following expression:

       

We can solve the above equation as follows:

       

c)

If K remains the same, and m = 12.1 g = 0.0121 kg (in SI units). we can solve for v  as follows:

       

d)

Now, if the kinetic energy were doubled, we would have the following equation:

       

We can solve for the new speed v as follows:

       

Answerthe energy required is 1.60 × 10⁻¹⁸ j, to three significant figures.explanationwe define electric potential as the ratio electric potential energy to the charge,    then the following gives us the potential difference,      the formula  may be on your formula sheet.the change in electric potential energy would be the energy that would needed to move it from point a to point b. solving for that, we get    using q = 8.00  × 10⁻¹⁹ c and  δv = 2.00 v, we get    the energy required is 1.60 × 10⁻¹⁸ j, to three significant figures.