We know that Power required to launch the stone will be given by:
Power = Work-done/time taken
P = W/t
t = W/P
W = Work-done to launch stone from trebuchet = Force applied*displacement
displacement of stone = 15.0 m
Using force balance in vertical direction:
F_net = F_app - Weight
Weight of stone = m*g
F_net = m*a
So,
F_app = m*a + m*g = m*(a + g)
a = acceleration of stone
given that stone travels 15.0 m in upward direction and at the time of launch speed of stone is 35.0 m/s
Using 3rd kinematic equation:
V^2 = U^2 + 2*a*d
a = (V^2 - U^2)/(2*d) = (35.0^2 - 0^2)/(2*15.0) = 40.833 m/s^2
So,
t = W/P = F*d/P = m*(a + g)*d/P
t = 90*(40.833 + 9.81)*15.0/30000
t = 2.28 sec
Correct option is A.
2.28 2.76 .337 3.31 1.04 1.68 Trebuchets are widely recognized to be the superior siege engine....
A .337 B 2.76 C 3.31 D 1.68 E 1.04 F 2.28 Trebuchets are widely recognized to be the superior siege engine. During the launching process a 90 kg stone begins on the ground and leaves the trebuchet 15.0 m above the ground moving at a speed of 35.0 m/s. If an average power of 30 kilowatts is exerted on the stone during the launch, how long is the launch in seconds? (Consider the force to always be in the...
Question 9 1 pts Trebuchets are widely recognized to be the superior siege engine. During the launching process a 90 kg stone begins on the ground and leaves the trebuchet 15.0 m above the ground moving at a speed of 35.0 m/s. If an average power of 30 kilowatts is exerted on the stone during the launch, how long is the launch in seconds? (Consider the force to always be in the direction of the stone's motion such that W=Fd)...
Question 9 1 pts Trebuchets are widely recognized to be the superior siege engine. During the launching process a 90 kg stone begins on the ground and leaves the trebuchet 15.0 m above the ground moving at a speed of 35.0 m/s. If an average power of 30 kilowatts is exerted on the stone during the launch, how long is the launch in seconds? (Consider the force to always be in the direction of the stone's motion such that W=Fd)...
Questions intruchets are widely recognized to be the superior siege engine During the launching procesa Oke stone begins on the ground and leaves the trebuchet 15.0 m above the ground moving at a speed of 35.0 m/s. If an average power of 30 kilowatts is exerted on the store during the launch, how long is the launch in seconds? (Consider the force to aways be in the direction of the stone's motion such that W=Fd) 0278 228 0204 168 -331
0.94 Question 1 pts Trebuchets are widely recognized to be the superior siege engine. While launching its payload, the trebuchet moves a 90 kg stone a total of 25.0 m. The stone leaves the trebuchet 15.0 m above the ground where it was initially at rest. If the trebuchet can exert an average force of 2500 N on the stone during launch, how fast is the 90 kg stone moving as it is released in m/s? (Consider the force to...
Trebuchets are widely recognized to be the superior siege engine. A trebuchet takes 1.3 seconds to launch a 90 kg stone into the air. The stone leaves the trebuchet 15.0 m above the ground moving at a speed of 30.0 m/s . What is the average power that the trebuchet imparts to the stone during launch in J/s