First, we need to establish the motion equations for the cart.
This leads us to:
vf = a * t + vo
By substituting the values, we have:
8.2 = a * (1.5) + (3.5)
Solving for acceleration gives:
a = (8.2-3.5) / (1.5)
a = 3.1 m / s ^ 2
Response:
The acceleration of the cart is:
a = 3.1 m / s ^ 2
An apple strikes the ground at a velocity of 16.2 m/s.
The angle between the velocity of the apple and a line normal to the inclined surface is 20 degrees.
The parallel and perpendicular components of its velocity concerning the surface are as follows:


This gives us:


The velocity along the inclined plane measures 5.5 m/s.
First, we must transform the pressure into SI units, considering that

:

The starting and ending volumes of the gas will be as follows (keeping in mind that

):


Thus, the work performed on the gas by its surroundings is

The positive outcome indicates that this work leads to a rise in the gas's internal energy.
The well-known equation...
E = m c²... does not address the origin of the mass involved.
Converting 1 kg of any mass entirely into energy generates
(1kg) · (c²) Joules of energy.
E = (1 kg) · (c²) = (1 kg) · (299,792,458 m/s)²
E = 8.9876 x 10¹⁶ Joules
To simplify, this equates to the energy needed to keep a 100-watt light bulb illuminated for about 10,402,259,010 days.
(This is roughly 28.5 million years, based on the current understanding of days and years.)
Answer:
44.4m/s^2
Explanation:
Utilize the equation...S = ut + 1/2at^2
where...S = 32m...u = 0m/s....t = 1.20s
32 = (0)(1.20) + 0.5(1.20^2)a
; The acceleration due to gravity is 44.4m/s^2