Momentum = Mass * Velocity
Total mass = 85 + 4.5 = 89.5 kg
Velocity = 2.1 m/s
Total momentum = Total Mass * Velocity
= 89.5 kg * 2.1 m/s
= 187.95 kgm/s or 187.95 Ns
<span>A lens is a piece of glass or other transparent substance with curved sides for concentrating or dispersing light rays, used singly (as in a magnifying glass) or with other lenses (as in a telescope). A binoculars, an eye, and a camera all contains a lens. A mirror does not contain a lens.</span>
<span>When T = room temperature
L = 1.0000m+2.4×10^-5m/°C*0°C = 1.0000m+0=1.0000m
change in the length = l2-l1 = (1.0000m+2.4×10^-5m/°C*T2)-(1.0000m+2.4×10^-5m/°C*T1) = 1.0000m+2.4×10^-5m/°CT2-1.0000m-2.4×10^-5m/°CT1=2.4×10^-5m/°CT2-2.4×10^-5m/°CT1=2.4×10^-5m/°C(T2-T1)
So we don’t need at all the 1.0000m data, we just need T2-T1, which is the difference between room temperature and the current temperature, which is 13.6°C.
change in the length = 2.4×10^-5m/°C*13.6°C = 3.264*10^-4m = 0.3264 mm = 326.4 micrometers</span>
Answer:
The net torque is 0.0372 N m.
Explanation:
A rotational body with constant angular acceleration satisfies the kinematic equation:
(1)
with ω the final angular velocity, ωo the initial angular velocity, α the constant angular acceleration and Δθ the angular displacement (the revolutions the sphere does). To find the angular acceleration we solve (1) for α:
Because the sphere stops the final angular velocity is zero, it's important all quantities in the SI so 2.40 rev/s = 15.1 rad/s and 18.2 rev = 114.3 rad, then:
The negative sign indicates the sphere is slowing down as we expected.
Now with the angular acceleration we can use Newton's second law:
(2)
with ∑τ the net torque and I the moment of inertia of the sphere, for a sphere that rotates about an axle through its center its moment of inertia is:
With M the mass of the sphere an R its radius, then:
Then (2) is:
Complete Question
A parallel-plate capacitor, with air dielectric, is charged by a battery, after which the battery is disconnected. A slab of glass dielectric is then slowly inserted between the plates. As it is being inserted,
A :
a force repels the glass out of the capacitor.
B :
a force attracts the glass into the capacitor.
C :
no force acts on the glass.
D :
a net charge appears on the glass.
E :
the glass makes the plates repel each other.
Answer:
The correct option is B
Explanation:
Generally when the glass dielectric is slowly inserted between the plated,
The positive plate of the capacitor will induce a negative charge on the glass while the negative plate of the capacitor will induce a positive charge on glass which a electric field that posses an electric force that will attract the glass