Answer:
t = 2.2 s
Explanation:
Given that,
Height of the roof, h = 24.15 m
The initial velocity of the pumpkin, u = 0
We need to find the time taken for the pumpkin to hit the ground. Let the time be t. Using second equation of kinematics to find it as follows :
Here, u = 0 and a = g
So, it will take 2.22 s for the pumpkin to hit the ground.
Answer:
Height will be 3.8971 m
Explanation:
We have given that radius of the solid r = 1.60 m
Mass of the solid disk m = 2.30 kg
Angular velocity
Moment of inertia is given by
Transnational Kinetic energy is given by as we know that v =
So
Rotational kinetic energy is given by
Potential energy is given by mgh
According to energy conservation
Answer:
v = √2G / R
Explanation:
For this problem we use energy conservation, the energy initiated is potential and kinetic and the final energy is only potential (infinite r)
Eo = K + U = ½ m1 v² - G m1 m2 / r1
Ef = - G m1 m2 / r2
When the body is at a distance R> Re, for the furthest point (r2) let's call it Rinf
Eo = Ef
½ m1v² - G m1 / R = - G m1
/ R
v² = 2G (1 / R - 1 / Rinf)
If we do Rinf = infinity 1 / Rinf = 0
v = √2G / R
Ef = = - G m1 m2 / R
The mechanical energy is conserved
Em = -G m1 / R
Em = - G m1 / R
R = int ⇒ Em = 0