Description
its about some Q about physics 1 please see file that I attach .
Unformatted Attachment Preview
Purchase answer to see full attachment
Explanation & Answer
Hi,Find attached the answers. In case you need any clarification, let me know😊.
ANSWERS
1.
a) Discuss the concept of centripetal force in two different situations?
Centripetal force is defined as, “The component of a force acting on a body in curvilinear motion
that is directed toward the center of curvature or axis of rotation.” Two cases of centripetal force
application;
I.
A car going round a corner. When seated on the right close to the door, you tend to feel
as if you are being pulled outside when the car makes a left turn. What actually happens
is the door moving towards you due to the centripetal force.
II.
The swirling of a stone attached to a string. The centripetal force keeps the stone from
flying away.
b) The vectors A and B are given by: A = 2i + 3j and B = – i + 2j. Determine the scalar
dot product A . B. Find the angle between A and B.
𝐴 ∙ 𝐵 = 𝐴𝑖 ∗ 𝐵𝑖 + 𝐴𝑗 + 𝐵𝑗
𝐴 ∙ 𝐵 = (2 ∗ −1) + (3 ∗ 2) = 4
Let angle between A and B be θ,
𝑐𝑜𝑠𝜃 =
𝐴∙𝐵
|𝐴| |𝐵|
|𝐴| = √22 + 32 = √13 = 3.6055
|𝐵| = √(−1)2 + 22 = √5 = 2.2361
𝑐𝑜𝑠𝜃 =
𝐴∙𝐵
4
=
= 0.496
|𝐴| |𝐵| 3.6055 ∗ 2.2361
𝜃 = 𝑐𝑜𝑠 −1 0.496 = 60.25°
c) Suppose the position of a particle is given as a function of time by r(t) = x(t)i + y(t)j,
with x(t) = at + b and y(t) = ct2 + d, where a = 1 m/s, b = 1 m, c = 0.225 m/s2, and d
= 1 m. (a) Calculate the average velocity during the time interval from t = 2 s to t =
5 s. (b) Determine the velocity and the speed at t = 3 s.
𝑥(𝑡) = 𝑡 + 1
𝑦(𝑡) = 0.225𝑡 2 + 1
i.
Position...