Answer: 0.067 s
Explanation:s = Ut + 1/2at^2
0.6 = 9t + 0.5 *10 *t^2
Where a = g =10m/s/s
Solving the quadratic equation
5t^2 + 9t - 0.6=0,
t= 0.067 s and - 1.7 s
Of which 0.067 s is a valid time
Answer:
The final velocity of the bullet is 9 m/s.
Explanation:
We have,
Mass of a bullet is, m = 0.05 kg
Mass of wooden block is, M = 5 kg
Initial speed of bullet, v = 909 m/s
The bullet embeds itself in the block which flies off its stand. Let V is the final velocity of the bullet. The this case, momentum of the system remains conserved. So,
![mv=(m+M)V\\\\V=\dfrac{mv}{m+M}\\\\V=\dfrac{0.05\times 909}{0.050+5}\\\\V=9\ m/s](https://tex.z-dn.net/?f=mv%3D%28m%2BM%29V%5C%5C%5C%5CV%3D%5Cdfrac%7Bmv%7D%7Bm%2BM%7D%5C%5C%5C%5CV%3D%5Cdfrac%7B0.05%5Ctimes%20909%7D%7B0.050%2B5%7D%5C%5C%5C%5CV%3D9%5C%20m%2Fs)
So, the final velocity of the bullet is 9 m/s.
Answer:
Mercury and Venus lie closer to Sun than position of Earth
Explanation:
As we know that all planets around the sun in the range of their distance can be arranged as following:
1). Mercury.
2). Venus.
3). Earth.
4). Mars.
5). Jupiter.
6). Saturn.
7). Uranus.
8). Neptune.
Since Earth lie at 3rd position from sun so two closer planets are Mercury and Venus
Answer:
2 m/s and -2 m/s
Explanation:
The object travels with an angle of
60.0°
with the positive direction of the y-axis: this means that it lies either in the 1st quadrant (positive x) or in the 2nd quadrant (negative x).
If it lies in the 1st quadrant, the value of vx (component of v along x direction) is:
![v_x = v cos \theta = (4.0 m/s) cos 60.0^{\circ}=2 m/s](https://tex.z-dn.net/?f=v_x%20%3D%20v%20cos%20%5Ctheta%20%3D%20%284.0%20m%2Fs%29%20cos%2060.0%5E%7B%5Ccirc%7D%3D2%20m%2Fs)
If it lies in the 2nd quadrant, the value of vx (component of v along x direction) is:
![v_x = -v cos \theta = -(4.0 m/s) cos 60.0^{\circ}=-2 m/s](https://tex.z-dn.net/?f=v_x%20%3D%20-v%20cos%20%5Ctheta%20%3D%20-%284.0%20m%2Fs%29%20cos%2060.0%5E%7B%5Ccirc%7D%3D-2%20m%2Fs)