Answer:
v = 0.4712 m / s In the opposite direction of the turntable
Explanation:
For this exercise the mouse to remain motionless must run at the same speed as the record player point moves,
Let's use rotational kinematics to find the speed of the record player at the point where the mouse is
v = w r
Let's reduce the magnitude to the SI system
w = 45 rpm (2π rad / 1rev) (1 min / 60s) = 4.712 rad / s
r = 10 cm = 0.10 m
Let's calculate
v = 4.712 0.10
v = 0.4712 m / s
In the opposite direction of the turntable
General expression is;
Pressure = Force/Area
In which,
Pressure = Required pressure + Atmospheric pressure = (1.2*10^5) + (101325) = 221325 Pa = 221325 N/m^2
Area = πD^2/4 = π*0.035^2/4 = 9.621*10^-4 m^2
Therefore,
Force, F = Pressure*Area = 221325*9.621*10^-4 = 212.94 N
Answer:
A) 2.89 × 105 N/C, radially inward
Explanation:
The magnitude of the electric field generated by a charged sphere is given by the following formula:
( 1 )
k: Coulomb's constant = 8.98*10^9 Nm^2/C^2
Q: charge of the sphere = -6.50*10^-6 C
r: distance from the center of the sphere to the point in which E is calculated
r = 0.150m + 0.300m = 0.450 m
You replace the values of Q and r in the equation (1):
The electric field points radially inward because the charge is negative.
hence, the answer is:
A) 2.89 × 105 N/C, radially inward
