Physics, 15.08.2020 18:01 hayyeet

A flatbed truck is carrying a 20-kg crate up a sloping road. The coefficient of static friction between the crate and the bed is 0.40, and the coefficient of kinetic friction is 0.30. What is the maximum angle of slope that the truck can climb at constant speed if the crate is to stay in place

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Answer from: Elijah7934

The angle is $\theta =21.8 ^o$

Explanation:

From the question we are told that

The mass of the crate is $m_c = 20 \ kg$

The coefficient of static friction is $\mu_s = 0.40$

The coefficient of kinetic friction is $\mu_k = 0.30$

Generally for the the crate not to slip , the static frictional must be equal to the force driving the truck

i.e

F_f = F

Now since we are considering a slope that static frictional force is mathematically represented as

$F_f = mg * cos(\theta) * \mu_s$

While the force driving the truck is mathematically represented as

$F = mg * sin (\theta )$

Here mg is the weight of the crate so

$mg * cos (\theta ) \mu_s = mg * sin (\theta )$

=> $\frac{sin (\theta )}{cos (\theta)} = \mu_s$

=> $\theta = tan ^{-1} [\mu_s ]$

=> $\theta = tan ^{-1} [0.40 ]$

=> $\theta =21.8 ^o$

A diagram show an illustration is on the first uploaded image

A flatbed truck is carrying a 20-kg crate up a sloping road. The coefficient of static friction betw

Answer from: Quest

answer: the correct answer is 1.

explanation: there are various process in which a radioactive nuclei decays:

1) alpha decay: in this process, a heavier nuclei decays into lighter nuclei by releasing alpha particle. the mass number is reduced by 4 units.

$_a^z\textrm{x}\rightarrow _{a-2}^{z-4}+_2^4\alpha$

2) electron capture: in this decay process, a parent nuclei absorbs an electron and gets converted into a neutron. simply, a proton and an electron combines together to form a neutron. mass number does not change in this process.

$_a^z\textrm{x}+_{-1}^0\textrm{e}\rightarrow _{z-1}^a\textrm{y}$

3) gamma ray emission: it is a decay process in which an unstable nuclei gives excess energy by a spontaneous electromagnetic process. this decay releases $\gamma -radiations$ . this process does not change the mass number.

$_a^z\textrm{x}^*\rightarrow _a^z\textrm{x}+_0^0\gamma$

4) positron emission: it is a type of decay process, in which a proton gets converted to neutron and an electron neutrino. this is also known as $\beta ^+$ -decay. in this the mass number remains same.

$_a^z\textrm{x}\rightarrow _{z-1}^a\textrm{y}+_{+1}^0e$

from the above information, we see that only alpha-decay is producing a change in the mass number of the nucleus.

Answer from: Quest

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.

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