m = mass of the birdcage = 22.5 kg
F = net force acting on birdcage to move it = 140 N
a = acceleration produced due to the force applied
a)
Using newton's second law
a = F/m
inserting the values
a = 140/22.5
a = 6.22 m/s²
b)
t = time of travel of crate = 10.5 s
v₀ = initial velocity of the crate = 0 m/s
X = displacement of the crate
displacement of the crate is given as
X = v₀ t + (0.5) a t²
X = 0 (10.5) + (0.5) (6.22) (10.5)²
X = 342.88 m
Answer:
a)
Explanation:
- A block sliding down an inclined plane, is subject to two external forces along the slide.
- One is the component of gravity (the weight) parallel to the incline.
- If the inclined plane makes an angle θ with the horizontal, this component (projection of the downward gravity along the incline, can be written as follows:

(taking as positive the direction of the movement of the block)
- The other force, is the friction force, that adopts any value needed to meet the Newton's 2nd Law.
- When θ is so large, than the block moves downward along the incline, the friction force can be expressed as follows:
- The normal force, adopts the value needed to prevent any vertical movement through the surface of the incline:
- In equilibrium, both forces, as defined in (1), (2) and (3) must be equal in magnitude, as follows:

- As the block is moving, if the net force is 0, according to Newton's 2nd Law, the block must be moving at constant speed.
- In this condition, the friction coefficient is the kinetic one (μk), which can be calculated as follows:

Answer:
The critical stress required for the propagation of an initial crack
= 21.84 M pa
Explanation:
Given data
Modulus of elasticity E = 225 ×

Specific surface energy for magnesium oxide is
= 1 
Crack length (a) = 0.3 mm = 0.0003 m
Critical stress is given by
=
-------- (1)
⇒ 2 E
= 2 × 225 ×
× 1 = 450 ×
⇒
a = 3.14 × 0.0003 = 0.000942
⇒ Put these values in equation 1 we get
⇒
=
⇒
= 4.77 × 
⇒
= 2.184 ×

⇒
= 21.84 
⇒
= 21.84 M pa
This is the critical stress required for the propagation of an initial crack.
Newton's Third Law of Motion states that springs exert a restoring force when they are pulled. The relationship between the spring force, spring constant, and spring displacement is governed by Hooke's Law.
Mass of the object= k*x/a= 26kg
what is Hooke's law?
The force (F) required to extend or compress a spring by a certain distance (x) scales linearly with respect to that distance, according to the empirical law known as Hooke's law.
according to Hooke's law
f=-k x (-ve because spring is compressing)
from force equation f=ma m-=mass, a= acceleration , k=spring constant, x= displacemt due to compression
so, ma=-k x, (mass can not be -ve so remove -ve sign)
m=k x/a= 40*2/3=26.67 kg
To learn more about : Hooke's law
Ref : brainly.com/question/7324904
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