In collision type of problems since momentum is always conserved
we can say

So here along with this equation we also required one more equation for the restitution coefficient

so above two equations are required to find the velocity after collision
here the change in velocity occurs due to the contact force while they contact in each other
so this is the impulse of collision while they are in contact with each other while in collision which changes the velocity of two colliding objects
The cart is moving by simple harmonic motion, and its position at time t is described by

where
A is the amplitude of the oscillation

is the angular frequency
The amplitude of the oscillation corresponds to the maximum displacement of the spring, which corresponds to the initial position where the spring was released:
A=0.250 m
The period of the motion is T=5.67 s, and the angular frequency is related to the period by

Therefore now we can calculate the position of the system at the time t=29.6 s:
A displacement time graph is able to show if an object is going backwards or forwards for example usually a line with a negative gradient means going backwards (or back to the start) This CAN’T be shown on a distance time graph
A distance time graph shows how far an object has traveled in a given time
So for example...
Distance is plotted on the Y-axis
Time is plotted on the X-axis
So not they are not the same, hope this helped :)
Answer:
The final temperature is 64.28°C.
Explanation:
Imagine now that one tried to repeat the same measurement, but between the time that the 400 cm³ of warm water was measured at 88°C and the time it was mixed with the 130 cm³ of cooler water at 15°C, the warmer water had lost 3060 cal to the environment. Calculate the final equilibrium temperature assuming no heat loss after mixing occurs.
Let the temperature of hot water before mixing is t
We need to calculate the temperature
Using formula of energy


Put the value into the formula




We need to calculate the final temperature
Using formula of temperature

Put the value into the formula


Hence, The final temperature is 64.28°C.
150 g/cm3
Write your equation out with known variables.