Answer:
Option A (1.51 m) is the appropriate option.
Explanation:
The given values are:
Speed of wave,
= 362 m/s
Period,
= 4.17
Now,
⇒ 
then,
⇒ 
⇒ 
⇒ 
Answer:

Explanation:
As per energy conservation we can say that energy stored in the spring at the position of maximum compression must be equal to the kinetic energy of bullet and block system
so here we have

here we know that
k = 205 N/m
x = 35 cm

now by momentum conservation we know that


now plug in all values in it

now from above equation


by solving above equation we have

m = mass of pellet = 2.10 x 10⁻² kg
x = compression of spring at the time launch = 9.10 x 10⁻² m
h = height gained by the pellet above the initial position = 6.10 m
k = spring constant
using conservation of energy
spring potential energy = gravitational potential energy of pellet
(0.5) k x² = m g h
inserting the values
(0.5) k (9.10 x 10⁻²)² = (2.10 x 10⁻²) (9.8) (6.10)
k = 303.2 N/m
Power=work/time
So,
Power =450/50=9watts
Answer:
g = 11.2 m/s²
Explanation:
First, we will calculate the time period of the pendulum:

where,
T = Time period = ?
t = time taken = 135 s
n = no. of swings in given time = 98
Therefore,

T = 1.38 s
Now, we utilize the second formula for the time period of the simple pendulum, given as follows:

where,
l = length of pendulum = 54 cm = 0.54 m
g = acceleration due to gravity on the planet = ?
Therefore,

<u>g = 11.2 m/s²</u>