A volume of mass 10kg is acted upon by a constant force of 30N for 2 seconds.
Calculate
A. The velocity of the body
B. The kinetic energy gained by the body.
F = ma, so a = F/m
A. v = at
B. KE = 1/2 mv^2
Now just plug in your numbers
To calculate the velocity of the body, we can use the formula:
v = u + at
Where:
v = final velocity
u = initial velocity (which is assumed to be 0 in this case)
a = acceleration
t = time
Given:
Mass (m) = 10 kg
Force (F) = 30 N
Time (t) = 2 seconds
We know that force equals mass times acceleration:
F = ma
Rearranging the equation, we get:
a = F/m = 30 N / 10 kg = 3 m/s^2
Plugging in the values, we can determine the velocity:
v = u + at = 0 + 3 m/s^2 × 2 s = 6 m/s
Therefore, the velocity of the body is 6 m/s.
To calculate the kinetic energy gained by the body, we use the equation:
Kinetic energy (KE) = 0.5 × mass × velocity^2
Given:
Mass (m) = 10 kg
Velocity (v) = 6 m/s
Plugging in the values, we can calculate the kinetic energy:
KE = 0.5 × 10 kg × (6 m/s)^2 = 0.5 × 10 kg × 36 m^2/s^2 = 0.5 × 360 kg m^2/s^2
Therefore, the kinetic energy gained by the body is 180 Joules (J).