Answer:
The energy lost is 0.333156518 J.
Explanation:
The given mass of the pendulum = 0.259 kg
Length = 0.97 m
Displaced at an angle of = 31.4 degrees
Maximum angle of swing = 10 degrees
Initial potential energy = mgh
Initial potential energy = 0.259 × 9.8 × (1 – cos31.4)
= 0.259 × 9.8 × ( 1- 0.853551)
= 0.371716852 J
Final potential energy = mgh
Final potential energy = 0.259 × 9.8 × (1 – cos10)
= 0.259 × 9.8 × (1 – 0.984808)
= 0.0385603344 J
The lost energy = Initial potential energy - Final potential energy
= 0.371716852 J - 0.0385603344 J
= 0.333156518 J
Mario's velocity vector relative to the ice is

(note that all velocities mentioned here are given in m/s)
The puck is moving in a direction of 17.8 degrees west of south, or 252.2 degrees counterclockwise relative to east. Its velocity vector relative to the ice is then

The velocity of the puch relative to Mario is


Then, relative to Mario,
a. the puck is traveling at a speed of
, and
b. is moving in a direction
such that

which is about
west of south.
Answer:
Exercise 1;
The centripetal acceleration is approximately 94.52 m/s²
Explanation:
1) The given parameters are;
The diameter of the circle = 8 cm = 0.08 m
The radius of the circle = Diameter/2 = 0.08/2 = 0.04 m
The speed of motion = 7 km/h = 1.944444 m/s
The centripetal acceleration = v²/r = 1.944444²/0.04 ≈ 94.52 m/s²
The centripetal acceleration ≈ 94.52 m/s²
Answer:
If the car comes to a sudden stop, your body tends to keep moving forward.
Explanation: