Explanation:
1.
C. Bamboo woodwind instrument
2.
C. Flute
3.
A. Bass Drum
Answer:
Mass of natural gas needed to heat the room is 350,000BTUs
Explanation:
The heating efficiency of a furnace is never 100% because not all energy is released and not all heat is available to heat the place. A lesser efficiency requires more consumption of fuel. Heating values are used for heating fuels in order to calculate the mass of fuel needed.
The heating value of natural gas is 1,000,000BTUs
Therefore the formular for calculating mass of natural gas needed= Heating value of natural gas×efficiency.
Mass=1,000,000×0.35
Mass=350,000BTUs
Answer: 288.8 m
Explanation:
We have the following data:
is the time it takes to the child to reach the bottom of the slope
is the initial velocity (the child started from rest)
is the angle of the slope
is the length of the slope
Now, the Force exerted on the sled along the ramp is:
(1)
Where
is the mass of the sled and
its acceleration
In addition, if we draw a free body diagram of this sled, the force along the ramp will be:
(2)
Where
is the acceleration due gravity
Then:
(3)
Finding
:
(4)
(5)
(6)
Now, we will use the following kinematic equations to find
:
(7)
(8)
Where
is the final velocity
Finding
from (7):
(9)
(10)
Substituting (10) in (8):
(11)
Finding
:

Answer:
The ball travels with a speed of 1.96 m/s in a North East direction
Explanation:
Based on the law of conservation of linear momentum, we have that

Since this problem involves motion in both the x and y coordinates, we will solve it in the separate coordinates, and then find the resultant as our answer.
Momentum in the x- direction
in the x direction,
. this makes 
hence we have


Momentum in the y- direction
in the y direction,
. this makes 
hence we have


The resultant of the two vectors can be found using Pythagoras' theorem

The direction of the resultant vector is found as

Hence the ball moves with a velocity of 1.96m/s in a North East direction
Answer:
because the focal length is negative.
Explanation:
Power of a lens (P) is the reciprocal of its focal length (f).