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Answer : The chemical formula for the molecule is
Explanation :
Molecular formula : It is the chemical formula which depicts the actual number of atoms of each element present in the compound.
Structural formula : It is a formula in which the lines are used between the bonded atoms and the atoms are also shown in the structural formula.
In the structural formula, the lines are used between the atoms.
As per given information of compound we conclude that, there are 4 carbon atoms, 9 hydrogen atoms and 2 oxygen atoms.
Thus, the chemical formula for the given molecule will be,
Answer:
a. 94.54 N
b. 0.356 m/s^2
Explanation:
Given:-
- The mass of the inclined block, M = 100 kg
- The mass of the vertically hanging block, m = 10 kg
- The angle of inclination, θ = 20°
- The coefficient of friction of inclined surface, u = 0.3
Find:-
a) The magnitude of tension in the cable
b) The acceleration of the system
Solution:-
- We will first draw a free body diagram for both the blocks. The vertically hanging block of mass m = 10 kg tends to move "upward" when the system is released.
- The block experiences a tension force ( T ) in the upward direction due the attached cable. The tension in the cable is combated with the weight of the vertically hanging block.
- We will employ the use of Newton's second law of motion to express the dynamics of the vertically hanging block as follows:
... Eq 1
Where,
a: The acceleration of the system
- Similarly, we will construct a free body diagram for the inclined block of mass M = 100 kg. The Tension ( T ) pulls onto the block; however, the weight of the block is greater and tends down the slope.
- As the block moves down the slope it experiences frictional force ( F ) that acts up the slope due to the contact force ( N ) between the block and the plane.
- We will employ the static equilibrium of the inclined block in the normal direction and we have:
- The frictional force ( F ) is proportional to the contact force ( N ) as follows:
- Now we will apply the Newton's second law of motion parallel to the plane as follows:
.. Eq2
- Add the two equation, Eq 1 and Eq 2:
- The inclined block moves up ( the acceleration is in the opposite direction than assumed ).
- Using equation 1, we determine the tension ( T ) in the cable as follows:
Answer:
a) 2.8 s b) 30.8 m
Explanation:
a) For a uniform acceleration a the equation for velocity v is given by:
For the police car the given values are:
v₀ = 0, v = 80 km/h = 22.2 m/s , a = 8 m/s²
Solving for time t:
b) In this time t the distance x traveled by the car with uniform velocity v is given by:
For the car the given values are:
v = 80 km/h = 22.2 m/s, x₀ = 0, t = 2.8 s
x = 61.7
The distance s traveled by the police car with uniform acceleration a is:
The given values are:
a = 8m/s², v₀ = 0, x₀ = 0, t = 2.8 s
s = 30.9 m
The difference between the distance x traveled by the car and the distance s traveled by the police is 30.8 m
