Three forces are pulling on the same object such that the system is in equilibrium. Their magnitudes are F1 = 2.83 N. F= 3.35 N. and F3 = 3.64 N, and they make angles of 0, = 45.0°, 02 = -63.43 and 03 =164.05° with respect to the x-axis, respectively. Required:
a. What is the x-component of the force vector F1?
b. What is the y-component of the force vector F1?

(a) 2.001N

(b) 2.001N

A sketch of the scenario has been attached to this response.

Since only the force vector F₁ is required, the only force shown in the sketch is F₁.

As shown in the sketch;

The x-component of the force vector F₁ =

The y-component of the force vector F₁ =

The magnitude of F₁ as given in the question = 2.83N

The angle that the force makes with respect to the x-axis = 45.0°

Using the trigonometric ratio, we see that;

(a) cos 45.0° =

=>   =  F₁ cos 45.0°

=> =  2.83 cos 45.0°

=> =  2.83 x 0.7071

=> =  2.001N

(b) Also;

sin 45.0° =

=>   =  F₁ sin 45.0°

=>   =  2.83 sin 45.0°

=>   =  2.83 x 0.7071

=>   =  2.001N

Therefore, the x-component and y-component of the force vector F₁ is 2.001N

33: i think it’s b

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.

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.

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 . this process does not change the mass number.

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 -decay. in this the mass number remains same.

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