Answer:
.
Explanation:
By Newton's Second Law, the acceleration of an object is proportional to the net force on it. In particular, if the mass of the object is , then
.
Rewrite this equation to obtain:
.
In this case, the assumption is that the force is the only force that is acting on the object. Hence, the net force on the object would also be
Make sure that all values are in their standard units. Forces should be in Newtons (same as , and the acceleration of the object should be in meters-per-second-squared (). Apply the equation to find the mass of the object.
.
Answer:
F = 1.047 10⁻² N
Explanation:
Let's use kinematics to find the angular acceleration
w = w₀ + α t
as for rest w₀ = 0
w = α t
α = w / t
let's reduce the magnitudes to the SI system
w = 1000 rev / min (2π rad/ 1 rev) (1 min/ 60s) = 104.72 rad / s
m = 1.00 g (1 kg / 1000 g) = 1,000 10⁻³ kg
r = 10.0 cm (1 m / 100 cm) = 0.100 m
let's calculate
α = 104.72 / 1
α = 104.72 rad / s²
angular and linear variables are related
a = α r
a = 104.72 0.100
a = 10.47 m / s²
finally we substitute in Newton's second law
F = 1 10⁻³ 10.47
F = 1.047 10⁻² N
Answer:
The angle of refraction is 37°.
Explanation:
let n1 be the refractive index of glass and n2 = 1.0 be the refraction index of air, θ be the angle of incidence , ∅ be the angle of refraction.
then, according to Snell's law:
n1×sin(∅) = n2×sin(θ)
sin(∅) = n2×sin(θ)/n1
= (1.0)(sin(71°))/(1.56)
= 0.606101651
∅ = 37°
Therefore, the angle of refraction is 37°.
Light can reflect from mirrors because mirrors are a prism.