Explanation:
Momentum = mass × Velocity
p = 62×73
p =4526
1,000 watts = 1 kilowatt
2,000 watts = 2 kilowatts
3,000 watts = 3 kilowatts
4,000 watts = 4 kilowatts
<em>5,000 watts = 5 kilowatts</em>
Answer:
(C) deflected toward the top of the page.(
Explanation:
We can answer this problem by using Fleming's Left Hand Rule. By doing so, we have to place:
- The index finger of the left hand in the direction of the magnetic field
- The middle finger of the left hand in the direction of the particle's velocity
- The thumb will give the direction of the force, and therefore the deflection of the proton
In this problem, we have:
- Magnetic field direction: into the page --> index finger
- Proton's velocity: to the right --> middle finger
By doing so, we observe that the thumb points towards the top of the page: therefore, the correct answer is
(C) deflected toward the top of the page.
Answer:
the angular acceleration of the gate is approximately 1.61 ![\frac{rad}{s^2}](https://tex.z-dn.net/?f=%5Cfrac%7Brad%7D%7Bs%5E2%7D)
Explanation:
Recall the formula that connects the net torque with the moment of inertia of a rotating object about its axis of rotation, and the angular acceleration (similar to Newton's second law with net force, mass, and linear acceleration):
![\sum \tau_1=I\,\alpha](https://tex.z-dn.net/?f=%5Csum%20%5Ctau_1%3DI%5C%2C%5Calpha)
In our case, both forces contribute to the same direction of torque, so we can add their torques up and get the net torque on the gate:
![\tau_{net}=(20*2+30*3.5) \,N\,m=145\,\,N\,m](https://tex.z-dn.net/?f=%5Ctau_%7Bnet%7D%3D%2820%2A2%2B30%2A3.5%29%20%5C%2CN%5C%2Cm%3D145%5C%2C%5C%2CN%5C%2Cm)
Now we use this value to obtain the angular acceleration by using the given moment of inertia of the rotating gate:
![\sum \tau_1=I\,\alpha\\145\,\,N\.m=(90\,\,kg\,m^2)\,\alpha\\\alpha= \frac{145}{90} \frac{rad}{s^2} = 1.61\, \frac{rad}{s^2}](https://tex.z-dn.net/?f=%5Csum%20%5Ctau_1%3DI%5C%2C%5Calpha%5C%5C145%5C%2C%5C%2CN%5C.m%3D%2890%5C%2C%5C%2Ckg%5C%2Cm%5E2%29%5C%2C%5Calpha%5C%5C%5Calpha%3D%20%5Cfrac%7B145%7D%7B90%7D%20%5Cfrac%7Brad%7D%7Bs%5E2%7D%20%3D%201.61%5C%2C%20%5Cfrac%7Brad%7D%7Bs%5E2%7D)