Answer:
K = 40N/m
Explanation:
According to Hooke’s law
Energy = 1/2 kx^2
K is the spring constant
x = displacement
From the question
Energy =5J
x = 0.5m
K = ?
Using the above formula,
We have
5 = 1/2 x k x (0.5)^2
5 = 1/2 x k x (0.5 x 0.5)
5 = 1/2 x k x 0.25
5 = 0.25k/ 2
Cross multiply
5 x 2 = 0.25k
10 = 0.25k
Divide both sides by 0.25 to get k
10/0.25 = 0.25k/ 0.25
40 = k
K = 40N/m
In elastic
collision, both the kinetic energy and momentum are conserved. Conservation
means that both the kinetic energy and momentum will have the same values
before and after elastic collision.
<span>As the
object A has low mass than object B. Hence upon collision, object B moves
forward, while object A will move backward. So option "C" is correct. </span>
Answer:
Explanation:
Tension T in the rope will create torque in solid cylinder ( axle ). If α be angular acceleration
T R = 1/2 M R²α ( M is mass and R is radius of cylinder )
= 1/2 M R² x a / R ( a is linear acceleration )
T = Ma / 2
For downward motion of the bucket
mg - T = m a ( m is mass and a is linear acceleration of bucket downwards )
mg - Ma / 2 = ma
a = mg / ( M /2 + m )
Substituting the values
a = 14.7 x 9.8 / ( 5.8+ 14.7 )
= 7 m / s²
A )
T = Ma / 2
= 5.8 x 7
= 40.6 N
B ) v² = u² + 2 a h
= 2 x 7 x 10.3
v = 12 m /s
C )
v = u + a t
12 = 0 + 7 t
t = 1.7 s
