Answer:
a)
85.05 N/m
b)
179.81 rad/s
Explanation:
a)
k = spring constant of the spring
m = mass of the block = 0.473 kg
x = stretch caused in the spring = 0.109 m
h = height dropped by the block = 0.109 m
Using conservation of energy
Spring potential energy gained by the spring = Potential energy lost by the block
(0.5) k x² = mgh
(0.5) k x² = mgx
(0.5) k x = mg
(0.5) k (0.109) = (0.473) (9.8)
k = 85.05 N/m
b)
angular frequency is given as
= 179.81 rad/s
Answer:
Volume of the wood = 120.615 cm3
Density of the wood = 0.457 g/cm3
Explanation:
By definition, density is the mass of a substance per unit volume and its units are kg/m3, g/l etc.
Volume of a cuboid = length * breadth * height
Length = 8.5 cm
Breadth = 3.3 cm
Height = 4.3 cm
Volume of the wood = 8.5 * 3.3 * 4.3
= 120.615 cm3
Mass of the wood = 55.120 g
Density = mass/volume
= 55.120/120.615
= 0.457 g/cm3
= 457 kg/m3
In the x-direction, the frictional force is the lone force pro
tem on the player
The formula is: Fnet = ma
f = ma
In the y-direction, N, the normal force turns up and mg, the force of gravity turns
down
N = mg (since there is no speeding up in the vertical direction)
f = -uN
=> f = -umg
-umg = ma
=> a = -ug
Using the kinematics equation:
d = (vf^2 - vi^2) / 2a
d = vi^2 / 2ug
d = 4.6^2 / 2(4.508)
d = 2.35 m/s
Answer:
Explanation:
Given
Length of beam
mass of beam
Two forces of equal intensity acted in the opposite direction, therefore, they create a torque of magnitude
Also, the beam starts rotating about its center
So, the moment of inertia of the beam is
Torque is the product of moment of inertia and angular acceleration