Answer:
(a)
(b)
Explanation:
Given data
The angular velocity of two cylinders ω=257 rad/s
The mass of the two cylinders m=2.88 kg
The radius of small cylinder r₁=0.319 m
The radius of larger cylinder r₂=0.605 m
For Part (a)
The rotational kinetic energy of the cylinder is given by:
Where I is rotational of inertia of solid cylinder about its central axis.
So
Substitute the given values
So
For Part (b)
Substitute the given values
Answer:
the charge the photoelectric effect induce is 0.132 × 10⁻¹¹ C
Explanation:
energy of ultraviolet light =
=
=7.91 × 10⁻¹⁹ J
=4.94 e V
energy released by the electron = 4.94 - 4.70
= 0.24 e V
potential at the surface of sphere =
0.24 =
Q = 0.132 × 10⁻¹¹ C
hence, the charge the photoelectric effect induce is 0.132 × 10⁻¹¹ C
Answer:
V = 10.88 m/s
Explanation:
V_i =initial velocity = 0m/s
a= acceleration= gsinθ-cosθ
putting values we get
a= 9.8sin25-0.2cos25= 2.4 m/s^2
v_f= final velocity and d= displacement along the inclined plane = 10.4 m
using the equation
v_f= 7.04 m/s
let the speed just before she lands be "V"
using conservation of energy
KE + PE at the edge of cliff = KE at bottom of cliff
(0.5) m V_f^2 + mgh = (0.5) m V^2
V^2 = V_f^2 + 2gh
V^2 = 7.04^2 + 2 x 9.8 x 3.5
V = 10.88 m/s