Answer:
The running horizontal speed should be larger than 1.29 m/s.
Explanation:
In order for the swimmer to just miss the bone-breaking ledge, her horizontal speed must be

in which we need to know how long we she be diving through the air. To determine that, recall the formula for the distance made by an object with acceleration (in this case it is the gravitational acceleration) with no initial (vertical) velocity:

from which it follows that (for non-negative t)

This result can be used in the initial inequality:

The diving lady better gets a speed larger than 1.29 m/s to avoid landing on the ledge.
Answer:
69.86 slugs
Explanation:
From the ideal gas equation
PV = nRT
n (number of moles) = PV/RT
P is pressure of the gas = 30 atm = 30×101325 = 3,039,750 Pa
V is volume of the gas = 1000 ft^3 = 1000/3.2808^3 = 28.32 m^3
R is gas constant = 8.314 J/mol.K
T is the temperature of the gas = 530 R = 5/9 × 530 = 294.44 K
n = 3,039,750×28.32/8.314×294.44 = 35166.11 mol
mass = n× MW
MW of air = 29 g/mol
mass = 35166.11 × 29 = 1019817.19 g × 0.0685 slug/1000 g = 69.86 slugs
Answer:
It is true that children learn to resolve conflicts from surrounding adults.
Explanation:
- The environment where the children are raised reflects their decision making abilities and conflicts handling power.
- Children are the best imitators of the adult around them. From all the activities adults perform around them, they learn that and apply in their life.
- So it is always best to take care of our activities that we perform in front of our children.
To develop this problem it is necessary to use the equations of description of the simple harmonic movement in which the acceleration and angular velocity are expressed as a function of the Amplitude.
Our values are given as


The angular velocity of a body can be described as a function of frequency as



PART A) The expression for the maximum angular velocity is given by the amplitude so that



PART B) The maximum acceleration on your part would be given by the expression



Answer:
0.36 kg-m/s
Explanation:
Given that,
Mass of a ball, m = 0.06 kg
Initial velocity of the ball, u = 20 m/s
Final velocity of the ball, v = 26 m/s
We need to find the change in momentum of the tennis ball. It is equal to the final momentum minus initial momentum

So, the change in momentum of the ball is 0.36 kg-m/s.