Answer:
x' = 1.01 m
Explanation:
given,
mass suspended on the spring, m = 0.40 Kg
stretches to distance, x = 10 cm = 0. 1 m
now,
we know
m g = k x
where k is spring constant
0.4 x 9.8 = k x 0.1
k = 39.2 N/m
now, when second mass is attached to the spring work is equal to 20 J
work done by the spring is equal to
![W = \dfrac{1}{2}kx'^2](https://tex.z-dn.net/?f=W%20%3D%20%5Cdfrac%7B1%7D%7B2%7Dkx%27%5E2)
![20= \dfrac{1}{2}\times 39.2\times x'^2](https://tex.z-dn.net/?f=20%3D%20%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%2039.2%5Ctimes%20x%27%5E2)
x'² = 1.0204
x' = 1.01 m
hence, the spring is stretched to 1.01 m from the second mass.
Answer:
C. The distance traveled by an object at a certain velocity.
Explanation:
YW!
(a) The horizontal and vertical components of the ball’s initial velocity is 37.8 m/s and 12.14 m/s respectively.
(b) The maximum height above the ground reached by the ball is 8.6 m.
(c) The distance off course the ball would be carried is 0.38 m.
(d) The ball's velocity after 2.0 seconds if there is no crosswind is 38.53 m/s.
<h3>
Horizontal and vertical components of the ball's velocity</h3>
Vx = Vcosθ
Vx = 39.7 x cos(17.8)
Vx = 37.8 m/s
Vy = Vsin(θ)
Vy = 39.7 x sin(17.8)
Vy = 12.14 m/s
<h3>Maximum height reached by the ball</h3>
![H = \frac{v^2 sin^2(\theta)}{2g} \\\\H = \frac{(39.7)^2 \times (sin17.8)^2}{2(9.8)} \\\\H = 7.51 \ m](https://tex.z-dn.net/?f=H%20%3D%20%5Cfrac%7Bv%5E2%20sin%5E2%28%5Ctheta%29%7D%7B2g%7D%20%5C%5C%5C%5CH%20%3D%20%5Cfrac%7B%2839.7%29%5E2%20%5Ctimes%20%28sin17.8%29%5E2%7D%7B2%289.8%29%7D%20%5C%5C%5C%5CH%20%3D%207.51%20%5C%20m)
Maximum height above ground = 7.51 + 1.09 = 8.6 m
<h3>Distance off course after 2 second </h3>
Upward speed of the ball after 2 seconds, V = V₀y - gt
Vy = 12.14 - (2x 9.8)
Vy = - 7.46 m/s
Horizontal velocity will be constant = 37.8 m/s
Resultant speed of the ball after 2 seconds = √(Vy² + Vx²)
![V = \sqrt{(-7.46)^2 + (37.8)^2} \\\\V = 38.53 \ m/s](https://tex.z-dn.net/?f=V%20%3D%20%5Csqrt%7B%28-7.46%29%5E2%20%2B%20%2837.8%29%5E2%7D%20%5C%5C%5C%5CV%20%3D%2038.53%20%5C%20m%2Fs)
<h3>Resultant speed of the ball and crosswind</h3>
![V = \sqrt{38.52^2 + 4^2} \\\\V = 38.72 \ m/s](https://tex.z-dn.net/?f=V%20%3D%20%5Csqrt%7B38.52%5E2%20%2B%204%5E2%7D%20%5C%5C%5C%5CV%20%3D%2038.72%20%5C%20m%2Fs)
<h3>Distance off course the ball would be carried</h3>
d = Δvt = (38.72 - 38.53) x 2
d = 0.38 m
The ball's velocity after 2.0 seconds if there is no crosswind is 38.53 m/s.
Learn more about projectiles here: brainly.com/question/11049671
Answer:
Three types of thermal expansion are linear expansion,s superficial expansion,cubical expansion