a car of mass(m)800kg initially at rest is accelerated at rate of 4m/s calculate the k.e @ 5seconds
A car mass 800kg incitally at rest. Is accelerated at rate of4m5_2 calculate the kinetic energy of the car after 5s
the velocity @ 5s is 20m/s ... 4m/s * 5s
k.e. is ... 1/2 m v^2
To find the kinetic energy (KE) of a car at a given time, you need to know the mass of the car (m) and its velocity (v).
Given:
Mass of the car (m) = 800 kg
Acceleration (a) = 4 m/s²
Time (t) = 5 s
To determine the velocity, we can use the equation of motion:
v = u + at
where:
v = final velocity
u = initial velocity (since the car is initially at rest, u = 0)
a = acceleration
t = time
Plugging in the values:
v = 0 + 4 * 5
v = 20 m/s
Now that we have the velocity, we can calculate the kinetic energy using the following formula:
KE = (1/2) * m * v²
Plugging in the values:
KE = (1/2) * 800 * (20)²
KE = (1/2) * 800 * 400
KE = 200 * 400
KE = 80,000 J
Therefore, the kinetic energy of the car at 5 seconds is 80,000 Joules.
To calculate the kinetic energy (KE) of the car at 5 seconds, we can use the formula for kinetic energy:
KE = 1/2 * m * v^2
Where:
- KE is the kinetic energy
- m is the mass of the car
- v is the velocity of the car
First, we need to find the velocity of the car at 5 seconds. Given that the car is accelerating at a rate of 4 m/s^2, we can use the following equation:
v = v0 + a * t
Where:
- v is the final velocity
- v0 is the initial velocity (which is 0 in this case since the car is initially at rest)
- a is the acceleration
- t is the time (which is 5 seconds in this case)
Plugging in the values, we have:
v = 0 + 4 * 5
v = 0 + 20
v = 20 m/s
Now that we have the velocity, we can calculate the kinetic energy:
KE = 1/2 * m * v^2
KE = 1/2 * 800 * 20^2
KE = 1/2 * 800 * 400
KE = 0.5 * 800 * 400
KE = 160,000 J
Therefore, the kinetic energy of the car at 5 seconds is 160,000 joules.