a child and a bicycle have a mass of 45kg together. The child rides the bicycle 1800m in 10 min at a constant speed. what is the kinetic energy of the system?

KE=1/2 m v^2=1/2 *45*(1800/600)^2 in Joules

To calculate the kinetic energy of the system, we need to calculate the total mass and the velocity of the system.

Given:
Mass of the child and bicycle together, m = 45 kg
Distance covered, d = 1800 m
Time taken, t = 10 min

First, let's convert the time from minutes to seconds:
10 min * 60 sec/min = 600 sec

Next, we can calculate the velocity of the system using the formula: Velocity (v) = Distance (d) / Time (t)
v = 1800 m / 600 sec = 3 m/s

Now, we can calculate the kinetic energy (KE) of the system using the formula: KE = 1/2 * mass * velocity^2
KE = 1/2 * 45 kg * (3 m/s)^2
KE = 1/2 * 45 kg * 9 m^2/s^2

Finally, we can calculate the kinetic energy of the system:
KE = 202.5 joules

Therefore, the kinetic energy of the system is 202.5 joules.

To find the kinetic energy of the system, we need to calculate the total mass and the velocity of the system.

Step 1: Find the mass of the system
Given that the child and the bicycle have a combined mass of 45 kg, we can assign this value to the mass of the system.

System Mass = 45 kg

Step 2: Find the velocity of the system
To determine the velocity of the system, we need to convert the distance traveled and the time taken into meters per second (m/s).

Distance Traveled = 1800 m
Time Taken = 10 min = 600 s

Velocity = Distance / Time = 1800 m / 600 s = 3 m/s

Step 3: Calculate the kinetic energy of the system
The formula for kinetic energy is given by:

Kinetic Energy = (1/2) * Mass * Velocity^2

Substitute the values we found into the formula:

Kinetic Energy = (1/2) * 45 kg * (3 m/s)^2
= (1/2) * 45 kg * 9 m^2/s^2
= 202.5 Joules

Therefore, the kinetic energy of the system is 202.5 Joules.