Answer: A. 50m/s
Explanation
Step 1
The first step is to define velocity. Velocity is a measure of how fast displacement is changing with time. When discussing the velocity of a object we have to take into account that direction is important.
Step 2
The second step is to calculate the change in velocity. The object is initially travelling with a velocity of and then hits the bat, changes directions and travels at
in a direction opposite to it's initial direction. The change in velocity is calculated as shown below,
The correct answer is
Answer:
The water is flowing at the rate of 28.04 m/s.
Explanation:
Given;
Height of sea water, z₁ = 10.5 m
gauge pressure, = 2.95 atm
Atmospheric pressure, = 101325 Pa
To determine the speed of the water, apply Bernoulli's equation;
where;
P₁ =
P₂ =
v₁ = 0
z₂ = 0
Substitute in these values and the Bernoulli's equation will reduce to;
where;
is the density of seawater = 1030 kg/m³
Therefore, the water is flowing at the rate of 28.04 m/s.
Question:<em> </em><em>Find, separately, them mass of the balloon and the basket (incidentally, most of the balloon's mass is air)</em>
Answer:
The mass of the balloon is 2295 kg, and the mass of the basket is 301 kg.
Explanation:
Let us call the mass of the balloon and the mass of the basket
, then according to newton's second law:
,
where is the upward acceleration, and
is the net propelling force (counts the gravitational force).
Also, the tension in the rope is 79.8 N more than the basket's weight; therefore,
and this tension must equal
Combining equations (2) and (3) we get:
since , we have
Putting this into equation (1) and substituting the numerical values of and
, we get:
Thus, the mass of the balloon and the basket is 2295 kg and 301 kg respectively.