Answer:
A. 33.77 m/s
B. 6.20 s
Explanation:
Frame of reference:
Gravity g=-9.8 m/s^2; Initial position (roof) y=0; Final Position street y= -21 m
Initial velocity upwards v= 27 m/s
Part A. Using kinematics expression for velocities and distance:

Part B. Using Kinematics expression for distance, time and initial velocity

Since it is a second order equation for time, we solved it with a calculator. We pick the positive solution.
Earth and Mars have the most sustainable living environments
Answer:
λ = 2.62 x 10⁻¹⁰ m = 0.262 nm
Explanation:
We can use Bragg's Law's equation to solve this problem. The Bragg's Law's equation is written as follows:
mλ = 2d Sin θ
where,
m = order of reflection = 1
λ = wavelength = ?
d = distance between the planes of crystal = 3.5 x 10⁻¹⁰ m
θ = strike angle of waves on plane = 22°
Therefore, substituting the respective values in the equation, we get:
(1)λ = (2)(3.5 x 10⁻¹⁰ m)(Sin 22°)
<u>λ = 2.62 x 10⁻¹⁰ m = 0.262 nm</u>
The kinetic energy of this block-spring when the block has a speed (v) is given by K.E = 1/2 × (M + m/3)v².
<h3>What is kinetic energy?</h3>
Kinetic energy can be defined as a form of energy that is possessed by a person due to its motion or change in speed (acceleration).
<h3>How to calculate kinetic energy?</h3>
Mathematically, kinetic energy can be calculated by using this formula:
K.E = 1/2 × mv²
Where:
- K.E represents the kinetic energy.
- v represents the speed or velocity.
Since the mass of a segment of this spring is dm = (m/l) dx, the kinetic energy for each of its segment would be given by:
dK = 1/2 × (dm)Vx²
This ultimately implies that, the kinetic energy of this block-spring when the block has a speed (v) is given by:
K.E = 1/2 × Mv² + 1/2 × ¹∫₀((x²v²/l²)m/ldx
K.E = 1/2 × (M + m/3)v².
Read more on kinetic energy here: brainly.com/question/15848455
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Using Newton's second law of motion:
F=ma ; [ F = force (N: kgm/s^2);m= mass (kg); a = acceleration (m/s^2)
Given: Find: Formula: Solve for m:
F: 2500N mass:? F=ma Eq.1 m=F/a Eq. 2
a= 200m/s^2
Solution:
Using Eq.2
m= (2500 kgm/s^2)/ (200m/s^2) = 12.5 kg