Explanation:
It is given that,
The mass of bob, m = 77 kg
Length of the string, L = 10 m
Angle made by the string with the vertical, 
(a) Let T is the force exerted by the string on the pendulum. At equilibrium,



T = 755.63 N
The horizontal component of the force is given by,


The vertical component of the force is given by,


(b) Let a is the radial acceleration of the bob. It can be calculated as :



Hence, this is the required solution.
Answer:
The average atomic mass of X is 206.0346
Explanation:
Atomic mass of 200X = 200.028
% abundance of 200X = 40% = 40/100 = 0.4
Atomic mass of 210X = 210.039
% abundance of 210X = 100% - 40% = 60% = 60/100 = 0.6
Average atomic mass of X = (0.4×200.028) + (0.6×210.039) = 80.0112 + 126.0234 = 206.0346
Answer:
The angular acceleration is 10.10 rad/s².
Explanation:
Given that,
Mass of sphere =220 g
Diameter = 4.50 cm
Friction force = 0.0200 N
Suppose we need to find its angular acceleration.
We need to calculate the angular acceleration
Using formula of torque


Here, I = moment of inertia of sphere


Put the value into the formula


Hence, The angular acceleration is 10.10 rad/s².
Answer:
Option D - 0.2 s
Explanation:
We are given;
Initial velocity; u = 7 m/s
Height of table; h = 1.8m
Now,since we want to find the time the car spent in the air, we will simply use one of Newton's equation of motion.
Thus;
h = ut + ½gt²
Plugging in the relevant values, we have;
1.8 = 7t + ½(9.8)t²
4.9t² + 7t - 1.8 = 0
Using quadratic formula to find the roots of the equation gives us;
t = -1.65 or 0.22
We can't have negative t value, thus we will pick the positive one.
So, t = 0.22 s
This is approximately 0.2 s
In order for a hypothesis to be tested, and experiment needs to be designed.
Many trials need to be runned in order to get accurate results and to form a valid conclusion that can prove or disprove the hypothesis