calculate the kinetic energy, in J, of a 1200kg automobile travelling at 36km/h
KE= 1/2 mass*velocity^2 change km/hr to m/s
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To calculate the kinetic energy, you need two pieces of information: the mass (m) of the object and its velocity (v). In this case, the mass of the automobile is given as 1200 kg, and the velocity is given as 36 km/h.
However, before calculating the kinetic energy, we must convert the velocity from kilometers per hour (km/h) to meters per second (m/s). Here's how you can do it:
1. Convert the velocity from km/h to m/s: Since 1 km = 1000 m and 1 h = 3600 s, you can use the following conversion factor: 1 km/h = (1000 m/3600 s) m/s
So, 36 km/h = (36 × 1000 m)/(3600 s) = 10 m/s
Now that we have the mass (m = 1200 kg) and the velocity (v = 10 m/s), we can calculate the kinetic energy (KE) using the formula:
KE = (1/2) × m × v^2
Substituting the given values:
KE = (1/2) × 1200 kg × (10 m/s)^2
Simplifying the equation:
KE = (1/2) × 1200 kg × 100 m^2/s^2
KE = 600 × 100 kg × m^2/s^2
KE = 60000 kg × m^2/s^2
Therefore, the kinetic energy of the automobile is 60,000 Joules (J).