i need help setting this problem up i know what the answer is but need to know how to get to it.

calculate the kinetic energy in joules of an automobile weighing 2135lb and traveling at 55 mph (1 mile=1.6093km, 1lb=453.59g)

just use the formula:

KE = 1/2 mv^2
m = 2135 lb*.45359 kg/lb = 968.4 kg
v = 55 mi/hr * 1609.3 m/mi * 1 hr/3600s = 24.59 m/s

KE = .5 * 968.4 * 24.592 kg-m^2/s^2 = 292780J = 292.78kJ

To calculate the kinetic energy of the automobile, we need to use the formula:

Kinetic Energy (KE) = (1/2) * mass * velocity^2

First, we need to convert the weight of the automobile from pounds (lb) to grams (g):

1 lb = 453.59 g

Mass of the automobile = 2135 lb * 453.59 g/lb = 968,819.65 g

Next, we need to convert the velocity from miles per hour (mph) to meters per second (m/s):

1 mile = 1.6093 km = 1609.3 meters
1 hour = 3600 seconds

Velocity of the automobile = 55 mph * 1609.3 m/1 mile * 1 hour/3600 seconds = 24.5875 m/s

Now, we have the mass (in grams) and velocity (in meters per second).

Plugging these values into the formula, we can calculate the kinetic energy:

KE = (1/2) * 968,819.65 g * (24.5875 m/s)^2

Simplifying the equation:

KE = 0.5 * 968,819.65 g * 603.688025 m^2/s^2

Finally, we can convert grams (g) to joules (J) by using the conversion factor:

1 g·m^2/s^2 = 1 J

Therefore, the kinetic energy of the automobile is:

KE = 0.5 * 968,819.65 g * 603.688025 m^2/s^2 = 292,203,705.08 J (approximately)

So, the kinetic energy of the automobile is approximately 292,203,705.08 joules.

To calculate the kinetic energy of the automobile, you will need to use the formula for kinetic energy:

Kinetic Energy = 0.5 * mass * velocity^2

To set up the problem, you need to convert the given values to the appropriate units:

1) Convert the weight of the automobile from pounds (lb) to grams (g).
- Use the conversion factor 1lb = 453.59g.

2) Convert the velocity from miles per hour (mph) to meters per second (m/s).
- First, convert miles to kilometers using the conversion factor 1 mile = 1.6093 km.
- Then, convert kilometers per hour (km/h) to meters per second (m/s) by dividing by 3.6.

Once you have converted the weight to grams and the velocity to meters per second, you can substitute these values into the kinetic energy formula to find the answer in joules.