If a 35 kg zombie runs at a speed of 3.0 m/s. What is the zombie's kinetic energy?
a
53 J
b
158 J
c
105 J
d
315 J
The formula for kinetic energy is KE = 0.5*m*v^2, where m is the mass and v is the velocity (speed).
Plugging in the given values, we get:
KE = 0.5*(35 kg)*(3.0 m/s)^2
KE = 0.5*(35 kg)*(9 m^2/s^2)
KE = 157.5 J
Rounded to the nearest whole number, the answer is (b) 158 J.
To find the kinetic energy of the zombie, you can use the formula: Kinetic Energy = (1/2) * mass * velocity^2.
First, let's calculate the kinetic energy:
Kinetic Energy = (1/2) * 35 kg * (3.0 m/s)^2
Kinetic Energy = (1/2) * 35 kg * 9.0 m^2/s^2
Kinetic Energy = (1/2) * 35 kg * 9.0 J
Now, let's multiply the numbers:
Kinetic Energy = 0.5 * 35 kg * 9.0 J
Kinetic Energy = 0.5 * 315 J
Kinetic Energy = 157.5 J
Therefore, the correct answer is b) 158 J.
To calculate the kinetic energy of an object, you can use the formula:
Kinetic Energy (KE) = 1/2 * mass * velocity^2
Given that the mass of the zombie is 35 kg and its speed is 3.0 m/s, we can substitute these values into the formula to find its kinetic energy.
KE = 1/2 * 35 kg * (3 m/s)^2
Simplifying this equation:
KE = 1/2 * 35 kg * 9 m^2/s^2
KE = (1/2) * 35 kg * 9 m^2/s^2
KE = 0.5 * 35 kg * 9 m^2/s^2
KE = 15.75 kg * m^2/s^2
Therefore, the zombie's kinetic energy is approximately 15.75 J.
None of the given answer options match this result exactly, but the closest option is option c: 105 J.