Answer:
The minimum heat required is 171626 joules.
Explanation:
By First Law of Thermodynamics, the amount of heat (
), in joules, is equal to the change in internal energy of water. The minimum heat required is the sensible heat necessary to heat up the water. That is:
(1)
Where:
- Density of water, in kilograms per cubic meter.
- Volume of water, in cubic meters.
- Specific heat of water, in joules per kilogram-degree Celsius.
- Change in temperature, in degrees Celsius.
If we know that
,
,
and
, then the minimum heat required is:

The minimum heat required is 171626 joules.
ANSWER:
a. 50.53 km/h
b. 32.53 km/h (in the direction of 25˚ S of E)
c. 4.27 km/h
d. 0 km/h
STEP-BY-STEP EXPLANATION:
a.
We have that the speed is given by the following formula:

We know that the equivalence between minutes and hours is that 60 minutes equals 1 hour, therefore:

b.
The velocity is given by the following formula

c.
The total distance traveled would then be two 16 kilometers, that is 32 km and the time would be 7.5 hours. we replace

d.
Since it starts in the same place that it ends, the displacement is equal to 0, therefore, the velocity is equal to 0 km/h
In triangle ABC
Sin5 = BC/AC
BC = (AC) Sin5
BC = (50) Sin5 = 4.36 cm
r = distance between the two balls = 2 BC = 2 x 4.36 = 8.72 cm = 0.0872 m
q = charge on each ball
m = mass of each ball = 5 g = 0.005 kg
electric force between the two balls is given as
F = 
using equilibrium of force in vertical direction
T Cos5 = mg eq-2
Using equilibrium of force in horizontal direction
T Sin5 = F eq-3
dividing eq-3 by eq-2
T Sin5 /(T Cos5) = F/mg
F = mg tan5
using eq-1
= mg tan5
inserting the values
= 0.005 x 9.8
q = 2.03 x 10⁻⁷ C
sign of charge is same on both the balls. either it is negative or positive
Answer:
The value of speed of wooden block at the instant after the collision
262.41 
Explanation:
Given data
Mass of block = 6.3 kg
Mass of bullet = 0.086 kg
Velocity of bullet
= 266 
Final velocity of whole system is

Put all the values in above formula we get

262.41 
This is the value of speed of wooden block at the instant after the collision.
Answer:
The average velocity is 2 m/s.
Explanation:
The velocity of the particle is the time derivative of its position 
![$v =\frac{dx(t)}{dt} = \frac{d}{dt}[t^2+2] $](https://tex.z-dn.net/?f=%24v%20%3D%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20%5Cfrac%7Bd%7D%7Bdt%7D%5Bt%5E2%2B2%5D%20%24)

Now the average from
and
is

Thus, the average velocity is 2 m/s.