Explanation:
It is given that,
Mass of the box, m = 100 kg
Left rope makes an angle of 20 degrees with the vertical, and the right rope makes an angle of 40 degrees.
From the attached figure, the x and y component of forces is given by :
Let 
and 
is the resultant in x and y direction.
As the system is balanced the net force acting on it is 0. So,
.............(1)
..................(2)
On solving equation (1) and (2) we get:
(tension on the left rope)
(tension on the right rope)
So, the tension on the right rope is 1063.36 N. Hence, this is the required solution.
Answer:
The initial velocity of the cart was 0.91m/s.
Explanation:
When the car comes to a stop it has delivered all of its kinetic energy to the spring; therefore,
solving for 
we get:
we put in 
, 
, and 
to get:
Answer:
21.18 L
Explanation:
From the question given above, the following data were obtained:
Initial pressure (P₁) = 1 atm
Initial volume (V₁) = 18 L
Final pressure (P₂) = 0.85 atm
Final Volume (V₂) =?
With the application of the Boyle's law equation, we can obtain the final volume (i.e the new volume) of the gas as follow:
P₁V₁ = P₂V₂
1 × 18 = 0.85 × V₂
18 = 0.85 × V₂
Divide both side by 0.85
V₂ = 18 / 0.85
V₂ = 21.18 L
Therefore, the new volume of the gas will be 21.18 L
Answer:
C. are often metals
and
D. have high conductivity
