W=20 e(-kt)
A. Rearranging gives k= -(ln(w/20)/t
Substituting w= 10 and solving gives k=0.014
B. Using W=20e(-kt). After 0 hours, W=20. After 24 hours, W=14.29g. After 1 week (24x7=168h) W=1.9g
C. Rearranging gives t=-(ln(10/20)/k. Substituting w=1 and solving gives t=214 hours.
D. Differentiating gives dW/ dt = -20ke(-kt). Solving for t=100 gives dW/dt = 0.07g/h. Solving for t=1000 gives 0.0000002g/h
E. dW/dt = -20ke(-kt). But W=20e(-kt) so dW/dt = -kW
Answer:
6J
Explanation:
Given parameters:
Mass of fish = 1kg
Velocity = 12m/s
Unknown:
Change in kinetic energy = ?
Solution:
Kinetic energy is the energy due to the motion of a body. It is mathematically given as:
K.E = m v²
Now, insert the parameters and solve;
K.E = x 1 x 12 = 6J
The change in kinetic energy is 6J
If the distance is in km and time is in hours, then the speed is km/hr.
If the distance is in m and the time is in seconds, then the speed is m/sec.