Answer:3.49 m/s
Explanation:
Given
Speed of marble at Bottom 
Diameter of loop 
As Energy is conserved therefore Energy at top is equal to energy at bottom

,where
is the velocity at bottom







Answer:
f1 = 12.90 Hz
Explanation:
To calculate the first harmonic frequency you use the following formula for n = 1:

( 1 )
It is necessary that the unist are in meters, then you have:
L: length of the string = 60cm = 0.6m
M: mass of the string = 0.05kg
T: tension on the string = 20 N
you replace the values of L, M and T in the expression (1) for getting f1:

Hence, the first harmonic has a frequency of 12.90 Hz
Answer:
The initial speed of bullet is "164 m/s".
Explanation:
The given values are:
mass of bullet,

or,

mass of wooden block,

speed,

Coefficient of kinetic friction,

As we know,
The Kinematic equation is:
⇒ 
then,
Initial velocity will be:
⇒ 

On substituting the given values, we get
⇒ 


As we know,
The conservation of momentum is:
⇒ 
or,
⇒ Initial speed, 
On substituting the values, we get
⇒ 
⇒ 
⇒
Answer:
240 meter
Explanation:
d= s*d=60m/s * 4sec=240 meter
Answer:
R = 4.24 x 10⁻⁴ m
Explanation:
given,
mass of the person = 60.3-kg
mass of the bullet = 10 gram = 0.01 Kg
velocity of bullet = 389 m/s
angle made with the horizontal = 45°
using conservation of momentum.
M v + m u = ( M + m ) V
60.3 x 0 + 0.01 x 389 = (60.3 + 0.01) V


V = 0.0645 m/s
for calculation of range


R = 4.24 x 10⁻⁴ m
the distance actor fall is R = 4.24 x 10⁻⁴ m