Ball leaves the table of height 0.60 m
Initial speed of the ball is in horizontal direction which is 2.4 m/s
Now here we can say that time taken by the ball to hit the ground will be given by kinematics equation in vertical direction

here in y direction we can say


due to gravity
now from above equation we have


Now in the same time the distance that ball move in horizontal direction is given as

given that



So it will move a total distance of 0.84 m where it will land
A vector Quantity has MAGNITUDE and direction, so the ‘what’ is Magnitude.
Answer:
a) F1 = 1999.8 N
, F2 = 4545 N
, F3 = 2778 N
, c) the cans do not collapse because the pressure is applied on both sides
Explanation:
Let's use the pressure equation
P = F / A
Suppose we have atmospheric pressure 1.01 10⁵ Pa
Let's calculate the area of the can that is a parallelepiped
Length L = 25 cm
width a = 18 cm
high h = 11 cm
Side area A = h a
A = 11 18
A1 = 198 10⁻⁴ m²
Lid area
A2 = L a
A2 = 25 18
A2 = 450 10⁻⁴ m²
Other side area
A3 = L h
A3 = 25 11
A3 = 275 10⁻⁴ m²
Now let's calculate the force on these sides
Side 1
F1 = P * A1
F1 = 1.01 10⁵ 198 10⁻⁴
F1 = 1999.8 N
Side 2
F2 = P A2
F2 = 1.01 10⁵ 450 10⁻⁴
F2 = 4545 N
Side 3
F3 P A3
F3 = 1.01 10⁵ 275 10⁻⁴
F3 = 2778 N
We see that the force is greater on side 2 which is where the can should collapse
b) To compare the previous forces we must use the concept of density, in general the cans are made of aluminum that has a density of 2700 kg / m3
d = m / V
m = d * V
V = L a h
V = 0.25 0.18 0.11
V = 0.00495 m3
m = 2700 0.00495
m = 13.4 kg
This is the maximum weight, because much of the volume we calculate is air that has a much lower density
W = 13.4 * 9.8
W = 131.3 N
Let's make the comparison by saying the two magnitudes
Side 1
F1 / W = 1999.8 / 131.3
F1 / W = 15.2
Side 2
F2 / W = 4545 / 131.3
F2 / W = 34.6
Side 3
F3 / W = 2778 / 131.3
F3 / W = 21.2
c) the cans do not collapse because the pressure is applied on both sides: outside and inside, so the net force is zero on each side.
Answer:
21.582 Newtons
Explanation:
The weight of an object on Earth is equal to W=9.81M where M is the mass of the object and the acceleration due to gravity is 9.81 m/s^2. Therefore, the weight of the book on the earth is W=9.81(2.2)=21.582N, or 21.582 Newtons
Answer : The value of
is 286.2 J and 286.2 J respectively.
Explanation : Given,
Moles of sample = 0.877 mol
Change in temperature = 15.7 K
First we have to calculate the heat absorbed by the system.
Formula used :

where,
q = heat absorbed by the system = ?
n = moles of sample = 0.877 mol
= Change in temperature = 15.7 K
= heat capacity at constant volume of
(diatomic molecule) = 
R = gas constant = 8.314 J/mol.K
Now put all the given value in the above formula, we get:


Now we have to calculate the change in internal energy of the system.

As we know that, work done is zero at constant volume. So,

Therefore, the value of
is 286.2 J and 286.2 J respectively.