Gender....................
Recall that
At its maximum height 
, the toy will have 0 vertical velocity, so that
For the toy to reach this maximum height, it takes time 
such that
which means it takes twice this time, i.e. 
, for the toy to reach its original position.
The velocity of the toy when it falls 1.0 m below its starting point is
where we took the negative square root because we expect the toy to be moving in the downward direction.
Heat required to raise the temperature of water is given as
here we have
m = 100 g = 0.100 kg
s = 4183 J/kg C
now we can use the above equation
so here it requires 20920 J heat to raise the temperature of 100 g water by 50 degree C
Answer:
Fx= 50.0 Pounds : Components of the force along the x-axis
Fy= 86.6 Pounds : Component of the force along the y-axis
Explanation:
Conceptual Analysis
To find the components (Fx, Fy) of the total force (F), we apply the trigonometric concepts for a right triangle, where the perpendicular sides of the triangle are the components (Fx, Fy) of the force (F), the hypotenuse (h) is the magnitude of the total force F and β is the angle that forms the horizontal component with the hypotenuse.
Formulas
cos β : x/h : x: side adjacent to the β angle h: hypotenuse (1)
sin β = y/h : y: side opposite to the β angle h: hypotenuse (2)
Known Data
Known data
F= 1.00 * 10² pounds = 100 pounds : magnitude of total force
β = 60.0° to the x-axis. : Angle that forms the force with the x-axis
Problem Development
We apply the formula 1 to calculate horizontal component (Fx)
cos β :Fx/F
Fx= F cosβ = 100*cos 60° = 50.0 Pounds
We apply the formula 2 to calculate vertical component (Fy)
sin β = Fy/F
Fy= F sinβ = 100*sin 60° = 86.6 Pounds
