Answer:
1 ) Distribution of mass within the ball
2 ) Height of the ramp
Explanation:
Acceleration of a rolling body down an inclined plane is given by the following formula
a = g sinθ / ( 1 + k² / R² )
k is radius of gyration , R is radius of the spherical object ,
when acceleration is more , velocity will also be more .
for objects in which masses are lying in the periphery like in hollow sphere , the value of k²/R² will be high so denominator of the expression will be high so acceleration will be less , hence velocity on reaching the bottom will be less.
On mass of the ball , velocity will not depend .
If height is increased , ball will have acceleration for greater time so velocity will be high.
On radius it will not depend because , radius r and k increases proportionately.
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Samantha wants to find the perimeter of a square to be able to build a frame for her new photos she took. Altogether, the sides should equal 14 inches. Sides A, B, and C equal 4, 4, and 6 inches. What is side D?
Answer:
1) 1.08 m/s^2
Explanation:
Acceleration is equal to the change in velocity divided by the time taken:
where
v is the final velocity
u is the initial velocity
is the time taken
In this problem, we have:
- initial velocity: u = 0 (you start from rest)
- final velocity: v = 5.4 m/s
- time taken:
Therefore, the acceleration is
2) -0.54 m/s^2
We can calculate the acceleration to slow down using the same formula as before, but this time the data are as follows:
- initial velocity : u = 5.4 m/s
- final velocity : v = 0 (you come to a stop)
- time taken :
using the same formula, we find
And the negative sign means it is a deceleration.
Since the total pressure of each gas is the sum of the partial pressures of all the individual gases, the vapor pressure of oxygen is 1.3 atm.
From Dalton's law of partial pressure, the total pressure is the sum of the individual partial pressures of the gases;
PT = PA + PB + PC + --------
Given that;
Vapor pressure of oxygen = 0.2 atm
Total pressure = 1.5 atm
Vapor pressure of oxygen = ?
Partial pressure of oxygen = 1.5 atm - 0.2 atm = 1.3 atm
The vapor pressure of oxygen is 1.3 atm.
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