Suppose you fill two rubber balloons with air, suspend both of them from the same point, and let them hang down on strings of eq
1 answer:
The charge on each the balloon is 100nC or 1.2 × 10^-7 C
Consider two balloons of diameter 0.200m each with a mass of 1.00g hanging apart with 0.0500m separation on the ends of string making angles of 10.0° with the vertical.
The charge on each balloon can be found from
or 100nC
An electric charge is the property of matter where it has more or fewer electrons than protons in its atoms. Electrons carry a negative charge and protons carry a positive charge. The matter is positively charged if it contains more protons than electrons and negatively charged if it contains more electrons than protons.
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Answer:
W = 9533.09 Watt
Explanation:
given,
diameter of pipe inlet, d₁ = 10 cm
r₁ = 5 cm
diameter of pipe outlet, d₂ = 15 cm
r₂= 7.5 cm
head upto water level is to rise = 60 + 5
= 65 m
flow rate = 0.015 m³/s
we know
A₁ v₁ = A₂ v₂ = Q
π r₁² v₁ = π r₂² v₂ = 0.015
v₂ = 0.848 m/s
v₁ = 1.908 m/s
Applying Bernoulli's equation
P_p is the pump pressure
Power of the pump
W = P_p x Q
W = 635539.32 x 0.015
W = 9533.09 Watt
d.Both points have the same instantaneous angular velocity.
Explanation:
Let's analyze each option one by one:
a.the angular velocity at point A is greater than that of point B. --> FALSE. In fact, for a rigid body (such as the rigid wheel in this problem), all the points along the body rotates with the same angular velocity. This is because the angular velocity is defined as
where is the angular displacement and t is the time taken. Therefore, all the points rotate by the same angle
in the same time t.
b.Both points have the same centripetal acceleration. --> FALSE. The centripetal acceleration of a point along the disk is given by
where is the angular velocity and r is the distance of the point from the axis of rotation. Here A is located farther away from the axis with respect to B, so it will have a greater centripetal acceleration.
c.Both points have the same tangential acceleration. --> FALSE. The tangential acceleration is given by
where is the angular acceleration.
is the same for every point for a rigid body, but
is not (A is located farther away), so A and B do not have same tangential acceleration.
d.Both points have the same instantaneous angular velocity. --> TRUE. This is true for what we said at point A).
e.Each second, point A turns through a greater angle than point B. --> FALSE. The two points cover the same angular displacement in the same time, since they have same angular velocity.
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