Answer:
(a) Potential energy of the child is converted into the kinetic energy at the bottom off the slide and a part of which is lost into friction generating heat between the contact surfaces.
(b)
Explanation:
Given:
- mass of the child,
- height of the slide,
- initial velocity of the child at the slide,
- final velocity of the child at the bottom of slide,
(a)
∴The initial potential energy of the child is converted into the kinetic energy at the bottom off the slide and a part of which is lost into friction generating heat between the contact surfaces.
Initial potential energy:
Kinetic energy at the bottom of the slide:
(b)
Now, the difference in the potential and kinetic energy is the total change in the thermal energy of the slide and the seat of her pants.
This can be given as:
Answer:
10.1 m /s²
Explanation:
Let m₁ be the mass of the helium gas inside balloon. Mass of air displaced is m₂
m₁ = volume x density
= 4/3 x 3.14 x 5³ x .179
= 93.67 kg
mass of displaced air
= 4/3 x 3.14 x 5³ x 1.16
= 607.06 kg
Net buoyant force in upward direction
(607.06 - 93.67 ) x g
= 5031.22 N
weight of people and gondola
= (2 x 70 + 64 ) x 9.8
= 1999.2 N
Net force in upward direction
= 5031.22 - 1999.2
= 3032.02 N
Acceleration produced
= 3032.02 / total mass
= 3032.02 / ( 93.67 +204 )
= 3032.02 / 297.67
= 10.1 m /s²
Answer:
For outer points of shell
Now for inner point of shell
Explanation:
As we know that out side the shell electric potential is given as
inside the shell the electric potential is given as
now we know the relation between electric potential and electric field as
so we can say for outer points of the shell
Now for inner point again we can use the same
Answer:
The value is
Explanation:
From the question we are told that
The height is h = 2.0 m
The height of the window is
The initial velocity of the rock is
The angle at which it is thrown is
Generally the vertical component of the velocity of the stone is mathematically represented as
=>
Generally the height of the window from the ground is mathematically represented as using kinematic equation as
=>
Here g is negative -9.8 m/s^2 because the direction of the stone is against gravity
So
Solving this quadratic equation using quadratic formula we obtain
t = 0.770 s
Generally the velocity of the stone on the x axis is mathematically represented as
=>
Generally the distance between the person throwing the rock and the window is mathematically represented as
=>
=>