It shows that acceleration of particle M is directly proportional to its displacement and its direction is opposite to that of displament. Thus particle M performs simple harmonic motion but M is projection of particle performing U.C.M. hence S.H.M. is projection of U.C.M. along a diameter, of circle.
Answer:
The time taken is 6.7 min
Explanation:
Using the linear momentum conservation theorem, we have:

when she was 60.4m from the shuttle, she has zero speed, so the initial velocity is zero.

That is 0.15m/s in the opposite direction of the camera.
the time taken to get to the shuttle is given by:

The two kinds of motion are horizontal and vertical
To solve this problem it is necessary to apply the concepts related to the conservation of the Momentum describing the inelastic collision of two bodies. By definition the collision between the two bodies is given as:

Where,
= Mass of each object
= Initial Velocity of Each object
= Final Velocity
Our values are given as




Replacing we have that



Therefore the the velocity of the 3220 kg car before the collision was 0.8224m/s
Answer:
a) Energy density of the magnetic field, u = 183.46 J/m³
b) Total energy, E = 0.167 J
Explanation:
a) Number of turns in the solenoid, N = 1410
Area, A = 13.8 cm² = 0.00138 m²
Current, I = 8.01 A
Length of the solenoid, l = 66.1 cm = 0.661 m
Energy density, u is given by the formula 
Where B is the magnetic field
The magnetic field in a solenoid is given by the formula, 

T

b) The total energy = Energy density * Volume
E = u V
Volume = Area * Length
V = Al = 0.00138 * 0.661
V = 0.00091218 m³
E = 183.46 * 0.00091218
E = 0.167 J