Answer:
The function that describe the motion in the time
y (t) = 0.28m * sin ( 36.025 * t)
Explanation:
The angular frequency of oscillation of the spring
w = √k/m
w = √305 N/m / 0.235 kg
w = 36.025 rad / s
To determine the function of the motion knowing as a motion oscillation in a amplitude a frequency
y(t) = A * sin (w t )
So
A = 28.0 cm * 1 m / 100 cm = 0.28 m
So replacing to determine the function of the motion in the time
y (t) = A sin (w t)
y (t) = 0.28m * sin ( 36.025 * t)
Answer:
Magnetic field, 
Explanation:
It is given that,
Speed of proton, 
Mass of the proton, 
Charge on proton, 
We need to find the magnetic field strength required to just balance the weight of the proton and keep it moving horizontally.
The Lorentz force is given by :
.............(1)
The weight of proton,
..............(2)
From equation (1) and (2), we get :




Hence, this is the required solution.
The volumetric rate or flow rate of a fluid is defined as the amount of the volume of a fluid circulating on a surface per unit of time. In this case we have units given initially: Gallons and minutes. For the first part we will convert the minutes to seconds, and we will obtain the flow rate under that measure. For the second case we will convert the gallons to cubic meters and obtain the desired value. Recall the following conversion rates,


If the flow rate is defined as the volume by time, the flow rate with the given values is



PART A ) Converting to Gal/seconds, we have,


PART B) Converting Gal/seconds to 


Answer:
the normal force on the rock acts perpendicular to the bowl's surface.
Explanation:
As we know that Normal force is the reaction force of two contact surfaces which always act perpendicular to the contact surfaces
Here we know that the rock is moving inside the bowl
So Normal force on the rock must perpendicular to the surface of the bowl which always passes through the center of the bowl.
Since the rock is moving in vertical plane so it must have two acceleration
1) Tangential acceleration which will increase the magnitude of the speed along the tangential path
2) Centripetal acceleration which will change the direction of the rock
So here only correct option will be
the normal force on the rock acts perpendicular to the bowl's surface.