Answer:
A) How much work does the Pepsi do on the bullet = 0.0625J
B) At what velocity does the Pepsi hit the floor = 7.67m/s
Explanation:
- Given mass of bullet = 5g
- initial velocity = 500 m/sec
From work done = Force X Distance
Workdone ; m(v - u )/t
A) The work done by the Pepsi is equal to the change in kinetic energy while in the Pepsi:
- but The work done by the container wall on the bullet is equal to the change in kinetic energy on either side of the wall: W = change in kinetic energy = 1/2 mv²
= 1/2 X 0.005 x 500² - 1/2 X 0.055 x 5²
= 624.94J
- Therefore ; The work done by the Pepsi is equal to the change in kinetic energy while in the Pepsi = W = change in KE = 0.0625 - 0 = 0.0625J
B) At what velocity does the Pepsi hit the floor?
- From conservation of energy principle; PE = KE
Answer:
m = 0.25
Explanation:
Given that,
Object distance, u = -15cm
Height of the object, h = 48
Focal length, f = cm
We need to find the magnification of the image.
Let v is the image distance. Using mirror's equation.

Magnification,

Hence, the magnification of the image is 0.25.
Answer:
a) v² = G M R³, b) T = 2π /
, c) 
Explanation:
a) The kinetic energy is
K = ½ m v²
to find the velocity let's use Newton's second law
F = m a
acceleration is centripetal
a = v² / R
force is the universal force of attraction
F = G m M / r²
we substitute
G m M R² = m v² R
v² = G M R³
the kinetic energy is
K = ½ m G M R³
b) angular and linear velocity are related
v = w R
w = v / R
w =
w =
the angular velocity is related to the period
w = 2π / T
T = 2π / w
we substitute
T = 2π /
c) the angular moeomto is
L = m v r
L = m RA G M R³ R
L = 
Answer:2.81 m
Explanation:
Given
speed(u)=13 m/s
dart strikes 0.23 m below
i.e. vertical distance traveled by dart is 0.23 m
considering dart motion similar to Projectile



Horizontal distance travel by dart =u\times t
