Answer:
41°
Explanation:
Kinetic energy at bottom = potential energy at top
½ mv² = mgh
½ v² = gh
h = v²/(2g)
h = (2.4 m/s)² / (2 × 9.8 m/s²)
h = 0.294 m
The pendulum rises to a height of above the bottom. To determine the angle, we need to use trigonometry (see attached diagram).
L − h = L cos θ
cos θ = (L − h) / L
cos θ = (1.2 − 0.294) / 1.2
θ = 41.0°
Rounded to two significant figures, the pendulum makes a maximum angle of 41° with the vertical.
Answer:
bird's speed = 4.58 m/s
Explanation:
given data
mass of bird mb = 300 g
velocity of bird vb = 5.7 m/s
mass of insect mi = 10 g
velocity of insect vi = - 29 m/s
solution
here momentum of system is constant
we apply here conservation of momentum so
mb × v + mi × v = mb × vb + mi × vi ....................1
v ( mb + mi ) = mb × vb + mi × vi
put here value and we get
v ( 300 + 10 ) = { 300 × 5.7 } + { 10 × (-29) }
v =
v = 4.58 m/s