Answer:
<em>13 m/s²</em>
Explanation:
Mass of object = 200 Kg
Applied force = 2600 N
Acceleration = ?
Solution:
Definition:
The acceleration is rate of change of velocity of an object with respect to time.
Formula:
a = Δv/Δt
a = acceleration
Δv = change in velocity
Δt = change in time
Units:
The unit of acceleration is m.s⁻².
Acceleration can also be determine through following formula,
F = m × a
a = F/m (N = kgm/s²)
a = 2600 kgm/s² / 200 Kg
a = 13 m/s²
Explanation:
It is given that, An astronaut is in equilibrium when he is positioned 140 km from the center of asteroid X and 481 km from the center of asteroid Y, along the straight line joining the centers of the asteroids. We need to find the ratio of their masses.
As they are in equilibrium, the force of gravity due to each other is same. So,

So, the ratio of masses X/Y is 0.0847
Answer:
a) A = 0.603 m
, b) a = 165.8 m / s²
, c) F = 331.7 N
Explanation:
For this exercise we use the law of conservation of energy
Starting point before touching the spring
Em₀ = K = ½ m v²
End Point with fully compressed spring
=
= ½ k x²
Emo = 
½ m v² = ½ k x²
x = √(m / k) v
x = √ (2.00 / 550) 10.0
x = 0.603 m
This is the maximum compression corresponding to the range of motion
A = 0.603 m
b) Let's write Newton's second law at the point of maximum compression
F = m a
k x = ma
a = k / m x
a = 550 / 2.00 0.603
a = 165.8 m / s²
With direction to the right (positive)
c) The value of the elastic force, let's calculate
F = k x
F = 550 0.603
F = 331.65 N
The vertical distance through which the book falls is determined as 1,048.8 m.
<h3>Height of the book fall</h3>
The vertical distance through which the book falls is calculated as follows;
h = vt + ¹/₂gt²
where;
- h is height of fall
- v is initial vertical velocity
- g is acceleration due to gravity
h = (16 x sin52)(13.4) + (0.5)(9.8)(13.4²)
h = 1,048.8 m
Thus, the vertical distance through which the book falls is determined as 1,048.8 m.
Learn more about height of fall here: brainly.com/question/15611384
#SPJ1
Answer: .2) The final temperature will be exactly midway between the initial temperatures of substances A and B.
Explanation:

As we know that,

.................(1)
where,
q = heat absorbed or released
= mass of A = 2x
= mass of B = x
= final temperature = z
= temperature of A
= temperature of B
= specific heat capacity of A = y
= specific heat capacity of B = 2y
Now put all the given values in equation (1), we get
![2x\times y\times (z-T_A)=-[x\times 2y\times (z-T_B)]](https://tex.z-dn.net/?f=2x%5Ctimes%20y%5Ctimes%20%28z-T_A%29%3D-%5Bx%5Ctimes%202y%5Ctimes%20%28z-T_B%29%5D)


Therefore, the final temperature of the mixture will be exactly midway between the initial temperatures of substances A and B.