The y-component of the velocity of the carrion is equal to zero. That being said, the time it takes for the carrion to reach the ground (as close as possible to the fox) can be calculated through the equation,
d = Vot + 0.5gt²
where d is the distance, Vo is initial velocity (in this case, zero), g is the acceleration due to gravity (9.8 m/s²). Substituting the known values,
14 = 0.5(9.8)(t²)
t = 1.69 seconds
Since the horizontal component of the velocity is 1.5 m/s, the distance from the base of the tree to the point where the carrion will fall is equal to,
(1.5 m/s)(1.69 s) = 2.535 m
We add this to the given distance of the fox from the base of the tree to determine the distance of the fox from the carrion.
total distance = 2.535 m + 7 m = 9.535 m
Given that the time it takes for it to travel would only be 1.69 seconds, the speed would then be,
speed = (9.535 m) / (1.69 s) = 5.64 m/s
<em>ANSWER: speed = 5.64 m/s</em>
Answer:
The pendulum should be made longer by 0.194m in order to increase its period by 0.32s
Explanation:
using the formula T= 2π
rearranging the equation and making L subject of formula we have;
L=T²g/4π²
lets calculate the length when T=1.06s
g=9.8m/s² , π=3.124
L=0.279m
the new period after its increased by 0.32s = 1.06+0.32 =1.38s
increase in length = 0.473 -0.279
=0.194m
To solve the problem, we must use the following equation:
where
Q is the amount of heat energy absorbed by the water
m is the mass of the water
Ti and Tf are the initial and final temperature
Cs is the specific heat capacity of the water
The data we have in this problem are:
Q=40.0 kJ
m=0.500 kg
Substituting the data into the equation and re-arranging it, we find
So the final temperature of the water will be 29.1 degrees.
Average speed is defined as ratio of total distance covered and total time
now we will have
now total distance moved is
total time is given as
now average speed is given as
so its average speed is 0.1 km per minute