The horizontal movement of the rocket is 11m/s, with an acceleration of 1.6m/s². The vertical movement will be downward, with an initial velocity of zero (it was shot horizontally) and a negative acceleration of g (-9.8m/s²)
To see how far the rocket traveled before hitting the ground, let's first figure out the time t at which the rocket hit the ground:
The formula for distance is d= vt + (1/2)at² ,
Where v=initial velocity, d=distance traveled, a=acceleration, and t=time
We want to find how long it took to travel 40 meters (height above the ground), given an initial velocity of 0 and negative acceleration of 9.8
Plugging into the equation:
40 = 0(t) + (1/2) (9.8) (t²) Multiply both sides by (2/9.8)
8.16 = t² Square root of both sides
t= 2.85
The rocket traveled for 2.85 seconds before hitting the ground. Plug this number into our distance formula to find horizontal distance
d= vt + (1/2)at²
d = 11 (2.85) + (1/2) (1.6) (2.85²)
Remember that initial horizonal velocity is 11m/s and horizontal acceleration is 1.6m/s²
Simplify:
d= 31.35 + .8 * 8.16
d = 37.87
The object traveled 37.87 meters before hitting the ground.
Answer:
(B) +18 cm
Explanation:
Given that the distance of the object is infinity.
And the image is formed at a distance of 18 cm, means .
Now as we know that the mirror formula is,
Now put the values of u and v
Therefore the focal length of the mirror is +18 cm.
Answer:
Explanation:
We need to use the momentum and energy conservation.
Where:
- m is the mass of bullet (m=0.01 kg)
- M is the mass of the wooden (M=0.75 kg)
- v(0) initial velocity of bullet
- V(1) is the velocity of the combined object in the moment the bullet hist the block
Conservation of energy.
We have kinetic energy at first and kinetic and potential energy at the end.
Here:
- V(1) is the velocity of the combined at the initial position
- h is the vertical height ( h = 0.800 m)
We can find V(2) using the definition of force at this point:
Now, we can solve the equation to find V(2)
Now we can find V(1) using the conservation of energy equation
Finally, using the momentum equation we find v(0)
I hope it helps you!
Answer:
Wavelength of the light is 750 nm.
Explanation:
Given that,
Spacing between the lines,
Order of the grating, n = 2
The second order is formed at an angle of 48.5°. The equation of diffraction grating is given by :
or
So, the wavelength of the light is 750 nm. Hence, this is the required solution.