Answer:
Explanation:
The displacement is the distnce of the shopper from the starting point.
Sum of movement along the vertical = 40-20 = 20m
Movement along the horizontal (x direction) = 15.0m
Displacement will be gotten using the pythagoras theorem.
d = √20²+ 15²
d = √400+225
d = √625
d = 25.0m
Hence the shoppers total displacement is 25.0m
Answer:
Maximum height, H = 35 meters
Explanation:
Given the following data;
Time = 7 seconds
Acceleration due to gravity, g = 10 m/s²
To find the maximum height;
Mathematically, the maximum height is given by the formula;
H = ½gt²
H = ½ * 10 * 7
H = 5 * 7
Maximum height, H = 35 meters
:
Explanation:
this graph show the decrease in velocity with time
at time t=0 velocity is 40 m/sec
at time t=12sec velocity is decreases from 40 to 10 m/s
so the acceleration of the object at time=12 sec is
a=v/t
a=Δv/t
Δv=v1-v2=40-10=30 m/s
a=30/12=2.5 m/s^2
Answer:
a) Spring Constant ![K=18.946\ \rm N/m](https://tex.z-dn.net/?f=%20K%3D18.946%5C%20%5Crm%20N%2Fm)
b) Amplitude of the oscillation![A=0.3\ \rm m](https://tex.z-dn.net/?f=A%3D0.3%5C%20%5Crm%20m)
c)Frequency o the oscillation![\nu =1.287\ \rm rev/s](https://tex.z-dn.net/?f=%5Cnu%20%3D1.287%5C%20%5Crm%20rev%2Fs)
Explanation:
Given:
- Magnitude of the mass, m=0.29 kg
- Spring is stretched by x=30 cm
a)
When Finally the mass comes to rest after 30 cm of stretching in spring then work done by all the forces is equal to the change in kinetic Energy of the of the mass
![\dfrac{Kx^2}{2}=mgh\\\dfrac{K\times0.3^2}{2}=0.29\times 9.8\times0.30\\K=18.946\ \rm N/m](https://tex.z-dn.net/?f=%5Cdfrac%7BKx%5E2%7D%7B2%7D%3Dmgh%5C%5C%5Cdfrac%7BK%5Ctimes0.3%5E2%7D%7B2%7D%3D0.29%5Ctimes%209.8%5Ctimes0.30%5C%5CK%3D18.946%5C%20%5Crm%20N%2Fm)
b) The Amplitude of the oscillation is 0.3 m
c) Let Frequency of the oscillation of the mass be
which is given by
![\nu=\sqrt{\dfrac{K}{m}}\\\nu=\dfrac{1}{2\pi}\sqrt{\dfrac{18.946}{0.29}}\\\nu=1.287\ \rm rev/s](https://tex.z-dn.net/?f=%5Cnu%3D%5Csqrt%7B%5Cdfrac%7BK%7D%7Bm%7D%7D%5C%5C%5Cnu%3D%5Cdfrac%7B1%7D%7B2%5Cpi%7D%5Csqrt%7B%5Cdfrac%7B18.946%7D%7B0.29%7D%7D%5C%5C%5Cnu%3D1.287%5C%20%5Crm%20rev%2Fs)