Answer:
The surface area of the dog changes from A to 3A
Explanation:
It is stated that the dog's surface area has increased by a factor of 3 over four years.
We need to calculate the change in the relative surface area of the dog over this timeframe.
Let’s assume the initial surface area is A.
Since the surface area has been multiplied by 3,
it follows that the surface area after four years is equal to 3×A = 3A.
Thus, the dog's surface area transitions from A to 3A.
Explanation:
The term 'collision' refers to the interaction between two objects. There are two distinct types of collisions: elastic and inelastic.
In this scenario, two identical carts are heading towards each other at the same speed, resulting in a collision. In an inelastic collision, the momentum is conserved before and after the incident, but kinetic energy is lost.
After the event, both objects combine and move together at a single velocity.
The graph representing a perfectly inelastic collision is attached, illustrating that both carts move together at the same speed afterward.
Answer:
B=
≅8.06
Explanation:
Applying the Pythagorean theorem:
=
+ 
Here, C denotes the hypotenuse length, while A and B signify the lengths of the other two sides of the triangle. We can calculate B's length knowing the hypotenuse is 9 and A is 4.
=
+ 
81= 16+ 
81-16= 
B=
≅8.06
Let "L" denote the beam's length.
According to the diagram:
AD = length of the beam = L
AC = CD = AD/2 = L/2
BC = AC - AB = (L/2) - 1.10
BD = AD - AB = L - 1.10
m = mass of the beam = 20 kg
m₁ = mass of the child at one end = 30 kg
m₂ = mass of the child at the opposite end = 40 kg
By applying the principle of torque equilibrium around point B:
(m₁ g) (AB) = (mg) (BC) + (m₂ g) (BD)
30 (1.10) = (20) ((L/2) - 1.10) + (40) (L - 1.10)
L = 1.98 m
The formula is Force = Mass * acceleration due to gravity. Considering a paratrooper's mass is 57 kg and the acceleration due to gravity is 9.81 m/s², the force acting downwards can be calculated. Therefore, substituting the values gives F = 57 * 9.81, leading to a force of 559.17 N. So, the downward force is 559.17 N.