Answer:

Explanation:
We are given that

r=2 in when t=4 s
We have to find the rate of change of radius.
We know that
Volume of sphere=
Differentiate w.r.t t

Substitute the values



Answer:
Explanation:
The period of oscillation will remain unchanged because the period of oscillation of a pendulum does not depend upon the mass of the bob . Here monkey along with bunch of banana represents bob .
When the monkey and banana were at height h /2 , they have potential energy as well as kinetic energy . banana is separated from the system . It carried its total energy along with it . But the energy of monkey remained intact with it . So it will keep on moving as usual . So it will attain the same maximum height as before .
Hence the amplitude of oscillation too will remain unchanged .
Answer:
c) Twice as much
Explanation:
As we know that kinetic energy is given by the formula

here we know that
m = mass of the object
v = speed of the object
so here we will have kinetic energy of Car A


now we have kinetic energy of B is given as


So kinetic energy of Car A is double that of Kinetic energy of car B
Answer:
0.615 m
Explanation:
We need to determine the force on the spring first. By Newton's second law of motion, force is the product of the mass and acceleration. The mass is given.
The acceleration is determined using the equation of motion.
Given parameters:
Initial velocity, <em>u</em> = 0.00 m/s
Distance, <em>s</em> = 4.19 m
Time, <em>t</em> = 0.601 s
We use the equation

With <em>u</em> = 0.00 m/s,



The force is

From Hooke's law, the extension, <em>e</em>, of a string is given by

where <em>k</em> is the spring constant.
Hence,
