You toss a ball at 30 m/s straight upwards. How much time will take the ball to reach the top of its path?
1 answer:
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Answer:
v = 9.45 m/s
Explanation:
given,
mass of the carpenter = 62.5 Kg
length of rope = 13.4 m
Capable of exerting force = 1034 N
centripetal force acting on the body
F =4.664 v² N
Gravitational force on her =
F = m g
F = 62.5 x 9.81
F = 613.125 N
now,
4.664 v² + 613.125 = 1034
4.664 v² = 420.875
v² = 90.24
v = 9.45 m/s
Maximum speed which she can tolerate = v = 9.45 m/s
Answer:
1.65 m
Explanation:
Energy from spring, is given by
where k is spring constant and x is the compression distance
Kinetic energy, KE at the highest point is given by
where m is mass and v is velocity
KE=0.5*0.0227*2.27= 0.058485 J
Potential energy, PE of spring is given by
PE=mgh where g is gravitational constant and h is maximum height reached by the mouse
PE=0.0227*9.81= 0.222687h
According to the principle of conservation of energy, the potential energy of the compressed spring is equal to the potential and kinetic energy of the mouse at the maximum high point.
0.425=0.222687h+0.058485
h=(0.425-0.058485)/ 0.222687=1.646671 m
h=1.65 m