Answer:
248
Explanation:
L = Inductance of the slinky = 130 μH = 130 x 10⁻⁶ H
= length of the slinky = 3 m
N = number of turns in the slinky
r = radius of slinky = 4 cm = 0.04 m
Area of slinky is given as
A = πr²
A = (3.14) (0.04)²
A = 0.005024 m²
Inductance is given as
N = 248
Answer:
The mass of the banana is m and it is at height h.
Applying the Law of Conservation of Energy
Total Energy before fall = Total Energy after fall
=
Here, total energy is the sum of kinetic energy and potential energy
+
=
+
(a)
When banana is at height h, it has
= 0 and
= mgh
and when it reaches the river, it has
= 1/2m
and
= 0
Putting the values in equation (a)
0 + mgh = 1/2m + 0
mgh = 1/2m
<em>cutting 'm' from both sides</em>
<em> </em>gh = 1/2
v =
Hence, the velocity of banana before hitting the water is
v =
Answer: The period of a spring if it has a mass of 5 kg and a spring constant of 6 N/m is 5.73 sec.
Explanation:
Given: Mass = 5 kg
Spring constant = 6 N/m
Formula used to calculate period is as follows.
where,
T = period
m = mass
k = spring constant
Substitute the values into above formula as follows.
Thus, we can conclude that the period of a spring if it has a mass of 5 kg and a spring constant of 6 N/m is 5.73 sec.
Answer:
His resulting velocity will be 0.187 m/s backwards.
Explanation:
Given:
Mass of the man is,
Mass of the ball is,
Initial velocity of the man is,
Initial velocity of the ball is,
Final velocity of the ball is,
Final velocity of the man is,
In order to solve this problem, we apply law of conservation of momentum.
It states that sum of initial momentum is equal to the sum of final momentum.
Momentum is the product of mass and velocity.
Initial momentum = Initial momentum of man and ball
Initial momentum =
Final momentum = Final momentum of man and ball
Final momentum =
Now, initial momentum = final momentum
The negative sign implies backward motion of the man.
Therefore, his resulting velocity is 0.187 m/s backwards.