PHYSICS MIDDLE SCHOOL

Americium-241 is a radioactive substance used in smoke detectors. The half life of americium is 432 years. If a smoke detector initially contains 1 gram of Americium 241, how much will remain in 432 years?

Answers

Answer 1

Answer:

Answer:

0.5 g

Explanation:

The half-life of a radioactive isotope is the time it takes for a certain amount of that isotope to halve.

In this case, we have an isotope of Americium-241, which has a half-life of

$\tau = 432 y$

This means that after 1 half-life (432 years), there will be an amount of americium equal to half its initial amount.

In this problem, the initial amount of americium is

$m_0 = 1 g$

Therefore, after 432 years (1 half-life), the amount of americium left will be half:

$m(432y) = (m_0)/(2)=0.5 g$

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Help Please!!!(a) What is the force of gravity between two 1170 kg cars separated by a distance of 28 m on an interstate highway?
___________ N

Answers

Force is the product of mass and acceleration. The Force between the two-car is 1.1646 x 10⁻⁷ N.

What is force?

Force can be defined as an influence that can change the motion of an object. It can be given by the formula,

F = m x a

Given to us

Masses of the car, m = 1170 kg

Distance between the car, d = 28 m

We know that according to the force of gravity,

$F = G(m_1m_2)/(d^2)$

G = gravitational constant (6.67 × 10⁻¹¹ N·m²/kg²),

m₁ = mass of object 1

m₂ = the mass of object 2

d = distance between two objects

Substitute the values,

$F = (6.67 * 10^(-11))(1170 * 1170)/(28^2)\n\nF = 1.1646 * 10^(-7)\ N$

Hence, the Force between the two-car is 1.1646 x 10⁻⁷ N.

Learn more about Force:

brainly.com/question/26115859

Answer:

$1.16\cdot 10^(-7) N$

Explanation:

The force of gravity between two objects is given by:

$F=G(m_1 m_2)/(r^2)$

where

G is the gravitational constant

m1, m2 are the masses of the two objects

r is their separation

In this problem, we have

m1 = m2 = 1170 kg is the mass of each car

r = 28 m is their separation

Substituting,

$F=(6.67\cdot 10^(-11) )((1170 kg)^2)/((28 m)^2)=1.16\cdot 10^(-7) N$

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