Let x = the angle of elevation for shooting the arrow.
Assume
g = 9.8 m/s²
No wind resistance
The vertical launch velocity is 25.1 sin(x) m/s
The horizontal velocity is 25.1 cos(x) m/s
The time of flight is
24/[25.1 cos(x)] s = 0.9562 sec(x) s
Therefore
0.5*[0.9562 sec(x)]*(9.8) = 25.1 sin(x)
4.6854 = 25.1* sin(x)cos(x)
sin(2x) = 0.3733
2x = sin⁻¹ 0.3733 = 21.92 deg
x = 10.96 deg
Answer: 11 degrees (nearest integer)
Answer:
Motion definition: the action or process of moving or being moved.
Examples:
1. moving a hand
2. riding a bicycle
3. running
They’re both describing factors of something
Answer:
Approximately
assuming no heat exchange between the mixture and the surroundings.
Explanation:
Consider an object of specific heat capacity
and mass
. Increasing the temperature of this object by
would require
.
Look up the specific heat of water:
.
It is given that the mass of the water in this mixture is
.
Temperature change of the water:
.
Thus, the water in this mixture would have absorbed :
.
Thus, the energy that water absorbed was:
.
Assuming that there was no heat exchange between the mixture and its surroundings. The energy that the water in this mixture absorbed,
, would be the opposite of the energy that the metal in this mixture released.
Thus:
(negative because the metal in this mixture released energy rather than absorbing energy.)
Mass of the metal in this mixture:
.
Temperature change of the metal in this mixture:
.
Rearrange the equation
to obtain an expression for the specific heat capacity:
. The (average) specific heat capacity of the metal pieces in this mixture would be:
.