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?
Answer:
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:

The gravitational force between the two objects is calculated through the equation,
F = Gm₁m₂/d²
where F is the gravitational force, G is constant (equal to 6.67 x 10^-11), m₁ and m₂ are masses in kg and d is distance is meters.
Substituting the known values,
F = (6.67 x 10^-11)(15 kg)(0.090 kg)/ (0.11 m)²
F = 7.441 x 10^-9 N
ANSWER: 7.441 x 10^-9 N
How does physical weathering compare to natural erosion?Physical weathering is the breakdown of rocks and soil, while natural erosion is the removal of solids (sediment, soil, rock) and occurs with movement. Eosion differs from weathering because it is transferred by wind, water, and ice; gravity has an immense role in erosion; and even living organisms are a key <span>component to erosion because certain species burrow, which disturbs the soil. </span>
To determine the volume of the aluminum given that it has the same mass as the iron given, we need to divide the mass with the density of aluminum. We calculate as follows:
Volume of aluminum = 70.83 / 2.70 = 26.23 cc
Hope this answers the question. Have a nice day.