The resultant vector is 5.2 cm at a direction of 12⁰ west of north.
<h3>
Resultant of the two vectors</h3>
The resultant of the two vectors is calculated as follows;
R = a² + b² - 2ab cos(θ)
where;
- θ is the angle between the two vectors = 45° + (90 - 57) = 78⁰
- a is the first vector
- b is the second vector
R² = (3.7)² + (4.5)² - (2 x 3.7 x 4.5) cos(78)
R² = 27.02
R = 5.2 cm
<h3>Direction of the vector</h3>
θ = 90 - 78⁰
θ = 12⁰
Thus, the resultant vector is 5.2 cm at a direction of 12⁰ west of north.
Learn more about resultant vector here: brainly.com/question/28047791
#SPJ1
Answer:
1088.9N/m2
Explanation:
Calculation for What pressure is exerted
First step is to find the area of bottom of the tank using formula
Area=Width*breadth
Let plug in the formula
Area=0.5*0.9
Area=0.45m2
Now let calculate what pressure is exerted using this formula
Pressure=Force/Area
Where,
Force=Mass *Gasoline
Area=Width of the tank* Length of the tank
Let plug in the formula
Pressure=50*9.8/0.5*0.9
Pressure=490/0.45
Pressure=1088.9N/m2
Therefore What pressure is exerted is 1088.9N/m2
Answer:
Heat required = mass× latent heat Q = 0.15 × 871 ×
Impulse = change of momentum
Impulse = 45 x 6 = 270 Ns